(upper and lower bounds)
a
=
8.4
rounded to 1 dp
b
=
6.19
rounded to 2 dp
find the minimum of
a

b

Answers

Answer 1

The minimum value of a - b is around 2.2 with a = 8.4 rounded to one decimal place and b = 6.19 rounded to two decimal places.

We must first subtract b (lower bound) from a (upper bound) to determine the least value of a - b, which is equal to 8.4 - 6.19 = 2.21. 2.21 is the difference between a and b. However, the question requests that we round off this number to the nearest tenth.

We remove the first decimal point because 1 is

less than 5, giving us 2.2. Hence the minimum value of a -b to the nearest decimal is found to be 2.2.

To know more about upper bound visit:

https://brainly.com/question/31219875

#SPJ4

The complete question is:

Given a = 8.4 rounded to 1 decimal place and b = 6.19 rounded to 2 decimal places, find the minimum value of a - b rounded to 1 decimal place.


Related Questions

Please help it would be amazing if you knew this

Answers

The solution of the composite function, (f + g)(x)  is 8x + 7

How to solve function?

A function relates input and output. In other words, a function is a special relationship among the inputs (independent variable) and their outputs (dependent variable).

A composite function is a function that depends on another function.

Therefore, let's solve the composite function

f(x) = x + 3

g(x) = 7x + 4

Hence,

(f + g)(x) can be solved as follows:

(f + g)(x)  = f(x) + g(x)

(f + g)(x)  = x + 3 + 7x + 4

combine like terms

(f + g)(x)  = x + 7x + 3 + 4

(f + g)(x)  = 8x + 7

learn more on function here: brainly.com/question/29153126

#SPJ1

Simon is filling a cylindrical water dispenser that has a radius of 7 inches and a height of 20 inches. Which of these is the best estimate of the volume of this water dispenser?


A 140 in


b 2,940 in


c 840 in


d 11,769 in



PLEASE ANSWER FAST

Answers

The best estimate of the volume of this cylindrical water dispenser is 2940 in³. The correct option is b.

To estimate the volume of the cylindrical water dispenser, we can use the formula for the volume of a cylinder, which is given by V = πr²h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height.

Given that the radius of the water dispenser is 7 inches and the height is 20 inches, we can substitute these values into the formula:

V = π(7²)(20)

V = π(49)(20)

V ≈ 3.14 × 49 × 20

V ≈ 3.14 × 980

V ≈ 3075.2 in³

From the given options, the closest estimate to the calculated volume of approximately 3075.2 in³ is option B: 2940 in³. While it is not an exact match, it is the closest estimate among the options provided.

To know more about volume, refer to the link below:

https://brainly.com/question/30261718#

#SPJ11

The polynomial



y


=





0.74


x


4


+


2.8


x


3


+


26.4




describes the billions of flu virus particles in a person’s body


x


days after being infected. find the number of virus particles, in billions, after 1 day.

Answers

The number of flu virus particles in a person's body after 1 day is 28.46 billion, based on the given polynomial function.

The polynomial given to us is, y = −0.74x⁴ + 2.8x³ + 26.4 which describes the billions of flu virus particles in a person’s body. To find the number of virus particles in a person's body after 1 day, we need to substitute x = 1 into the given polynomial and evaluate it.

So, we have,

y = -0.74(1)⁴ + 2.8(1)³ + 26.4

= -0.74 + 2.8 + 26.4

= 28.46

Therefore, the number of virus particles in a person's body after 1 day is 28.46 billion.

To know more polynomials, visit,

https://brainly.com/question/4142886

#SPJ4

Complete question - The polynomial y=−0.74x⁴ + 2.8x³ + 26.4 describes the billions of flu virus particles in a person’s body x days after being infected. find the number of virus particles, in billions, after 1 day.

7. At Burger Heaven a double contains 2 meat patties and 6 pickles, whereas a



triple contains 3 meat patties and 3 pickles. Near closing time one day, only



24 meat patties and 48 pickles are available. If a double burger sells for



$1. 20 and a triple burger sells for $1. 50, then how many of each should be



made to maximize the total revenue?



(4. 6 5pts)



a) Write your constraints (1pt)

Answers

At Burger Heaven, to maximize the total revenue from selling double burgers containing 2 meat patties and 6 pickles, you need to consider the following constraints:

1. Ingredient availability: Ensure that there are enough meat patties and pickles in stock to meet the demand for double burgers.
2. Production capacity: The kitchen staff must be able to efficiently prepare and assemble the double burgers without compromising on quality.


3. Pricing strategy: Set a competitive price for the double burger to attract customers and generate optimal revenue.
4. Demand forecasting: Accurately predict customer demand for the double burger to prevent overstocking or understocking of ingredients, which can impact revenue.

To maximize total revenue at Burger Heaven, follow these steps:

a) Analyze the availability of meat patties and pickles to determine how many double burgers can be made with the current inventory.
b) Evaluate the production capacity of the kitchen staff to ensure that they can efficiently prepare and assemble the double burgers.


c) Research the market to set a competitive price for the double burger, considering the costs of ingredients, labor, and other expenses.
d) Forecast customer demand for the double burger to ensure optimal inventory levels and to meet customer expectations.

By addressing these constraints and following the steps above, Burger Heaven can successfully maximize its total revenue from selling double burgers with 2 meat patties and 6 pickles.

To know more about Burger Heaven refer here

https://brainly.com/question/31361962#

#SPJ11

Graph: 3y = 6
-
-6 -4 -2
6
4
2
-2
त्र
-6
y
2 4
st
Click or tap the graph to plot a point.
6
X

Draw
y

Answers

There is the answer

The volume of a pyramid is 51 cubic centimeters. The area of the base is 17 square centimeters What is its height?

Answers

To solve for the height of the pyramid, we need to use the formula for the volume of a pyramid, which is V = (1/3)Bh, where V is the volume, B is the area of the base, and h is the height. We are given that the volume is 51 cubic centimeters and the area of the base is 17 square centimeters, so we can substitute these values into the formula and solve for h.

51 = (1/3)(17)(h)

To solve for h, we can first simplify the right side of the equation:

51 = (17h)/3

Then, we can multiply both sides of the equation by 3 to isolate h:

153 = 17h

Finally, we can divide both sides of the equation by 17 to solve for h:

h = 9

Therefore, the height of the pyramid is 9 centimeters.

sets x y and z are defined below a number will be randomly selected from set x what is the probability that the selected number will be an element of set y and an element of set z.

x= (1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Y= (5, 10, 15, 20, 25)
Z= (1,5,25)

A. 0.1
B. 0.2
C. 0.5
D. 0.6
E. 0.8

Answers

When a number is chosen from set x, there is a 0.2 chance that the chosen number will also be found in sets y and z. The answer is option (B). 0.2.

What is Probability?

The ratio of favourable outcomes to all possible outcomes of an event is known as the probability. The symbol x can be used to express the quantity of successful outcomes for a study with 'n' outcomes. The probability formula determines the likelihood that an event will occur.

It is the ratio of effective results to all effective results. The study of probability is a branch of mathematics that examines the likelihood that an event will occur. Probability, which expresses the likelihood that an event will occur, is calculated by dividing the total number of occurrences by the total number of positive events.

The number of elements of Both Y and Z answer is 5 and 25.

The probability of selecting a number from x that is an element of y and z

Intersection of y and z is (5, 25)

No.of elements in x is = 2/10

= 1/5

= 0.2

To know more about probability, visit:

brainly.com/question/29251004

#SPJ1

i need to factor 1/2y-5 1/2 and i can't seem to get it

Answers

The factored form of the equation is 1/2(y - √5)

To factor this expression, we need to look for any common factors that can be pulled out of both terms. We can see that both terms contain a factor of 1/2, so we can factor that out:

1/2(y - 5 1/2)

Now we need to see if there are any further factors that we can find. The term inside the parentheses, y - 5 1/2, cannot be factored any further using real numbers. However, we can write the expression as y - √5, which shows that it involves the square root of 5.

So the final factored form of the expression is:

1/2(y - √5)

This means that if we multiply 1/2 by (y - √5), we get back the original expression 1/2y - 5 1/2.

To know more about equation here

https://brainly.com/question/21835898

#SPJ1

For evrey 500g of reactants, 3. 1 g of catalyst were required. How much catalyst was required for 900g of reactants

Answers

5.58g of catalyst is required for 900g of reactants.

How much catalyst for 900g reactants?

If 500g of reactants require 3.1g of catalyst, then for 900g of reactants, we can use the following proportion:

500g reactants / 3.1g catalyst = 900g reactants / x

Where x is the amount of catalyst required for 900g of reactants.

To solve for x, we can cross-multiply:

500g reactants * x = 3.1g catalyst * 900g reactants

Then, we can divide both sides by 500g reactants to isolate x:

x = (3.1g catalyst * 900g reactants) / 500g reactants

Simplifying this expression gives:

x = 5.58g catalyst

Therefore, 5.58g of catalyst is required for 900g of reactants.

Learn more about catalyst

brainly.com/question/24430084

#SPJ11

If 3r/c=126 what is the value of r/2c

please i have no idea what the hecc is going on.

Answers

Examining the expression the value of r/2c is

21

How to find  r/2c

We can use algebra to calculate the value of r/2c with 3r/c as the variable.

First, let's reduce the expression 3r / c = 126 by multiplying both sides by c / 3:

3r/c * c/3 = 126 * c/3

r/1 = 42c

Now we can obtain r / 2c by dividing both sides by 2c:

solving for the left hand side of the equation

r /2c = (r/1)/(2c)

solving for the right hand side of the equation

42c = (42c)/(2c) = 21

Equation the left hand side to the right hand side of the equation

r/2c = 21

Therefore, r/2c = 21.

Learn more about equations at

https://brainly.com/question/2972832

#SPJ1

2. How many checks must a customer write per month before the new plan is cheaper than the old plan? and new plan? 3. What formula/equations can be formed to find the cost for any number of checks for the old cheaper for a customer who writes 10 checks per month? 1. Compute the cost of 10 checks under the old plan and under the new plan. Which plan is check will cost 8 cents. The bank claims the new plan will save the customer money. Plus 15 cents for each check announces that it will change its monthly fee to $3 and that each Problem #3 A bank that has been charging a monthly service fee of $2 for checking accounts

Answers

The old plan is cheaper for a customer who writes 10 checks per month.

To determine how many checks a customer must write per month before the new plan is cheaper than the old plan, we need to set up an equation to compare the two plans. Let x be the number of checks written per month. The cost of the old plan is given by:

C_old = 0.08x + 2

The cost of the new plan is given by:

C_new = 3 + 0.15x

To find out when the new plan becomes cheaper, we need to set the two costs equal to each other and solve for x:

0.08x + 2 = 3 + 0.15x

0.07x = 1

x ≈ 14.29

Therefore, a customer would need to write 15 checks per month for the new plan to be cheaper than the old plan.

For a customer who writes 10 checks per month, the cost of the old plan is:

C_old = 0.08(10) + 2 = 2.80

The cost of the new plan is:

C_new = 3 + 0.15(10) = 4.50

Therefore, the old plan is cheaper for a customer who writes 10 checks per month.

The formula for the cost of any number of checks for the old plan is:

C_old = 0.08x + 2

where x is the number of checks written per month

learn more about "Cost":-https://brainly.com/question/19104371

#SPJ11

A point in the figure is chosen at random. Find the probability that the point lies in the shaded region of the circle. ​

Answers

To find the probability that the point lies in the shaded region of the circle, we need to compare the area of the shaded region to the total area of the circle. Let's say the radius of the circle is r.

The area of the shaded region can be found by subtracting the area of the unshaded region from the total area of the circle. The unshaded region is a square with side length equal to the radius of the circle. Therefore, its area is r^2. The total area of the circle is πr^2. So the area of the shaded region is:
πr^2 - r^2 = r^2(π - 1)

Now, if we choose a point at random from the circle, any point has an equal chance of being chosen. So the probability of choosing a point in the shaded region is equal to the area of the shaded region divided by the total area of the circle:

P(shaded) = (r^2(π - 1))/πr^2 = π - 1

Therefore, the probability of choosing a point in the shaded region of the circle is π - 1.

Learn more about probability at https://brainly.com/question/29000664

#SPJ11

18. A singer sells a single as a music download and CD, making a total profit of £246. 64.
She sells 456 CD singles, earning 35p for every single sold.
She earns 17p for each music download of the single.
How many music downloads did she sell?​

Answers

The singer sold approximately 512 music downloads for  17p and 456 CDs for 35p and earned a total profit of £246. 64.

Given data:

Total profit = £246. 64

The price for each music download is = 17p

Number of CDs sold = 456 CD

Price for each CD = 35p

Assume that the singer sold x music downloads. when she earns 17p for each music download then her total earnings from music downloads will be 0.17x. The total earnings from selling the CD are,

= 0.35 × 456

= 159.6.

From the above data, we can write the equation to find the value of x by,

0.17x + 159.6 = 246.64

0.17x = 246.64 - 159.6

0.17x = 87.04

x = 87.04/0.17

x = 512

Therefore, the singer sold approximately 512 music downloads.

To learn more about profit :

https://brainly.com/question/29785281

#SPJ4

Answer the following questions using what you've learned from this lesson. Write your responses in the
space provided.
For questions 1-4, use the following data to calculate and interpret the linear regression equation
Worldwide carbon dioxide emissions have increased over the years as Earth's population has grown. The
table shows the world carbon dioxide emissions, in millions of metric tons, from 1950 to 1990
Year
1950
1960
Response variable:
1970
1980
1990
1. Which is the explanatory variable.
and which is the response
variable?
Explanatory variable:
Name
Date
Emissions
6000
9500
15,000
19,300
22,500
2. Calculate the linear regression
equation from the above data.

Answers

The expected value of emissions when Year is 0, which makes up the intercept of the line (-666708.3) .

what is linear regression ?

By fitting a linear equation to the observed data, the statistical technique of linear regression is utilized to describe the connection between two variables. Finding the line that best fits the data and can accurately depict the interaction of the variables is the aim of linear regression. In regression analysis, one variable is regarded as the independent (or predictor) variable, and the other is regarded as the dependent (or response) factor (or response variable). Y = mx + b, where x is the underlying factor, m is the line's slope, and b is the y-intercept, is a linear equation that describes the connection between both variables.

given

The linear regression equation that results is:

Emissions = 666708.3 - 347.6 Year

This equation models the link between Year (the explanatory variable) and Emissions as a straight line (the response variable).

According to the line's slope (347.6), emissions rose by an average of 348 million metric tonnes annually during this time.

The expected value of emissions when Year is 0, which makes up the intercept of the line (-666708.3) .

To know more about linear regression visit:

https://brainly.com/question/29665935

#SPJ9

What is the 5280th digit in the decimal expansion of 5/17

Answers

The second digit after the decimal point is 9. We repeat this process until we have found the 5280th digit:

```

0.294117647058823529...

               50

Calculate the decimal expansion?

To find the 5280th digit in the decimal expansion of 5/17, we need to find the first 5280 digits of the decimal expansion and then look at the 5280th digit.

To do this, we can use long division to divide 5 by 17. We start by dividing 5 by 17 to get the first digit after the decimal point:

```

0.294117647058823529...

```

We can see that the first digit after the decimal point is 2. To get the second digit, we multiply the remainder (5) by 10 and then divide by 17:

```

5 * 10 = 50

50 / 17 = 2 remainder 16

```

The second digit after the decimal point is 9. We repeat this process until we have found the 5280th digit:

```

0.294117647058823529...

               50

            -----

5 * 10 = 50 | 16.0000000000000000000000000000000000000000000000000000000000000000000000...

            0

           ---

             160

             153

             ---

               70

               68

               --

                20

                17

                --

                 30

                 17

                 --

                 130

                 119

                 ---

                  110

                  102

                  ---

                    80

                    68

                    --

                    120

                    119

                    ---

                      10

                       8

                      --

                       20

                       17

                       --

                        30

                        17

                        --

                        130

                        119

                        ---

                         110

                         102

                         ---

                           80

                           68

                           --

                           120

                           119

                           ---

                             10

                              8

                             --

                              20

                              17

                              --

                              30

                              17

                              --

                              130

                              119

                              ---

                               110

                               102

                               ---

                                 80

                                 68

                                 --

                                 120

                                 119

                                 ---

                                   10

                                    8

                                   --

                                   20

                                   17

                                   --

                                   30

                                   17

                                   --

                                   130

                                   119

                                   ---

                                    110

                                    102

                                    ---

                                      80

                                      68

                                      --

                                      120

                                      119

                                      ---

                                        10

                                         8

                                        --

                                        20

                                        17

                                        --

                                        30

                                        17

                                        --

                                        130

                                        119

                                        ---

                                         110

                                         102

                                         ---

                                           80

                                           68

                                           --

                                           120

                                           119

                                           ---

                                             10

                                              8

                                             --

                                             20

                                             17

                                             --

                                             30

                                             17

                                             --

                                             130

                                             119

                                             ---

                                              110

                                              102

                                              ---

                                                80

                                                68

                                                --

                                                120

                                                119

                                                ---

                                                  10

                                                   8

                                                  --

                                                  20

                                                  17

                                                  --

                                                  30

                                                  17

                                                  --

                                                  130

                                                  119

                                                  ---

                                                   110

                                                   102

                                                   ---

                                                     80

                                                     68

                                                     --

                                                     120

                                                     119

                                                     ---

                                                       10

                                                        8

                                                       --

                                                       20

                                                       17

                                                       --

                                                       30

Learn more about Decimal expansion

brainly.com/question/31875919

#SPJ11

What are two different ways you can solve 2(x – 3) = 8?

Answers

Answer:

There are three methods used to solve systems of equations: graphing, substitution, and elimination.

Step-by-step explanation:

A triangular prism is 15 feet long. It has a triangular face with a base of 10 feet the volume of the prism is 945 ft. What is the height of its triangular height

Answers

The height of the triangular face of a triangular prism with a length of 15 feet and a base of 10 feet, and a volume of 945 cubic feet is 12.6 feet."

The formula for the volume of a triangular prism is given by:

Volume = (1/2) x base x height x length

where base and height refer to the base and height of the triangular face, and length refers to the length of the prism.

Substituting the given values, we have:

945 = (1/2) x 10 x height x 15

Simplifying:

945 = 75 x height

Dividing both sides by 75:

height = 945/75

height = 12.6 feet

For more questions on triangular prism

https://brainly.com/question/23178481

#SPJ11

A regular hexagon is shown. What is the measure of the radius, c, rounded to the nearest inch? use the appropriate trigonometric ratio to solve. 6 in. 10 in. 14 in. 24 in.

Answers

The measure of the radius of the hexagon rounded to the nearest inch is 14 inches.

The problem presents a hexagon with a central angle of 60º, and the task is to calculate its radius. To do so, we can use the trigonometric relationship between the radius, apothem, and an angle. The apothem is a line segment from the center of a polygon perpendicular to one of its sides. For a regular hexagon, the apothem length is equal to the radius, which we want to find.

The trigonometric relationship for this case is cos(30) = a/c, where a is the apothem and c is the radius. By rearranging the equation to solve for c, we get c = a/cos(30).

Substituting the value of 12 inches for the apothem, we get c = 12/cos(30). Using a calculator, we can find that cos(30) = 0.866, so c = 12/0.866 = 13.855 inches.

To round to the nearest whole number, we get c = 14 inches.

Correct Question :

A regular hexagon is shown. What is the measure of the radius, c, rounded to the nearest inch? use the appropriate trigonometric ratio to solve. 6 in. 10 in. 14 in. 24 in.

To learn more about hexagon here:

https://brainly.com/question/1687394

#SPJ4

Complete each conversion by dragging a number to each box.


Numbers may be used once, more than once, or not at all.



1,20012012,00012


12,000 g =


kg



120 cm =


mm



1. 2 L =


mL



1,200 cm =


m



0. 12 m =


mm

Answers

The conversion each unit gives:

12,000 g =   12 kg    

120 cm = 1200 mm

1.2 L = 1200 mL

1,200 cm = 12 m

0. 12 m = 120 mm

How to convert from one unit to another?

Conversion of units is the process of converting between different units of measurement for the same quantity through conversion factors.

1000 g = 1 kg. Thus,

12,000 g =   12 kg    

1 cm = 10 mm. Thus,

120 cm = 1200 mm

1L = 1000 mL. Thus,

1.2 L = 1200 mL

100 cm = 1 m. Thus,

1,200 cm = 12 m

1 m = 1000 mm. Thus,

0. 12 m = 120 mm

Learn more about unit conversion on:

https://brainly.com/question/13016491

#SPJ1

Find the slope of the points (-10, -52)
and (-70, -32)

Answers

Answer:

Slope= -1/3

Step-by-step explanation:

The slope is found using (y₂ - y₁) / (x₂ - x₁)

(y₂ - y₁)

So let's do the numerator first with the y. -52-(-32). The two negative signs  make 32 positive so -52 + 32= -20

(x₂ - x₁)

Now the denominator, x. -10-(-70). Same thing here, the two negative signs  make 70 positive so -10 + 70 = 60

(y₂ - y₁) / (x₂ - x₁)

Now put them together so -20/60 which equals -1/3 which the slope

You deposit $2000 earned at a summer job in an account that pays 4. 2% simple interest. What is the balance in the account in 3 years? Estimate to the nearest whole number

Answers

A deposit of $2000 earning 4.2% simple interest for 3 years will have a balance of $2252. The estimated balance rounded to the nearest whole number is $2252.

To calculate the balance in the account after 3 years, we can use the formula

balance = principal x (1 + interest rate x time)

Plugging in the values, we get

balance = 2000 x (1 + 0.042 x 3)

balance = 2000 x (1 + 0.126)

balance = 2000 x 1.126

balance = 2252

Therefore, the balance in the account after 3 years is $2252.

As for the estimate, since the interest is simple, we can approximate it by multiplying the interest rate by the number of years and adding it to the principal. So, the estimate would be

estimate = principal x (1 + interest rate x time)

estimate = 2000 x (1 + 0.042 x 3)

estimate = 2000 x (1 + 0.126)

estimate = 2000 x 1.126

estimate = 2252

Rounding to the nearest whole number, the estimate is also $2252.

To know more about interest:

https://brainly.com/question/15089941

#SPJ4

A circular mirror has a radius of 3. 4 feet rosalinda is decorating the edge of the mirror with Washington tape if she has exactly enough washi tape which measurement is closest to the length of the piece of washi tape in feet

Answers

The measurement closest to the length of the piece of washi tape needed is approximately 21.36 feet.

The circumference of the circular mirror can be calculated using the formula C = 2πr, where r is the radius. Plugging in the given radius of 3.4 feet, we get C = 2π(3.4) = 21.36 feet (rounded to two decimal places). Since Rosalinda is decorating the edge of the mirror with washi tape, she needs a piece of tape that is equal in length to the circumference of the mirror. Therefore, the length of the piece of washi tape needed is closest to 21.36 feet.

More on circumference: https://brainly.com/question/19717342

#SPJ11

Data-Safe Company leases online data storage
space. A customer can store up to 750
gigabytes of computer files for an annual fee of
$19.95. If the number of gigabytes exceeds 750,
then the equation c=0.05(g - 750) + 19.95
determines the annual cost, c. in dollars in terms
of g, the total number of gigabytes of data
stored. Which statement best describes this
information?

Answers

The statement that best describes the information is:

-If the total number of gigabytes stored exceeds 750, then each gigabyte beyond 750 costs 5 cents.

How to make the correct statement based on the information

This is because the equation c = 0.05(g - 750) + 19.95 applies only when the number of gigabytes (g) exceeds 750. For every gigabyte over 750, an additional 5 cents is charged, while the base cost of $19.95 is for the first 750 gigabytes of storage.

If the customer needs to store more than 750 gigabytes, the annual cost is determined by the equation c = 0.0 ,5(g - 750) + 19.95, where c is the annual cost in dollars, and g is the total number of gigabytes of data stored

The statement that best describes this information is:

The Data-Safe Company offers online data storage services with an annual fee of ,$19.95 for up to 750 gigabytes of storage. If a customer requires more than 750 gigabytes of storage,. an additional fee of $0.05 per gigabyte is charged for the excess storage beyond the initial 750 gigabytes.

Read more on data storage here

https://brainly.com/question/14466798

#SPJ1

Complete question

Data-Safe Company leases online data storage

space. A customer can store up to 750

gigabytes of computer files for an annual fee of

$19.95. If the number of gigabytes exceeds 750,

then the equation c=0.05(g - 750) + 19.95

determines the annual cost, c. in dollars in terms

of g, the total number of gigabytes of data

stored. Which statement best describes this

information?

-If the total number of gigabytes stored is

more than 750, then every gigabyte stored

costs 5 cents.

-If the total number of gigabytes stored

exceeds 750, then each gigabyte beyond

750 costs 5 cents.

B

-The first 750 gigabytes stored costs 5 cents

each, after which there is an additional cost

of $19.95

-Every gigabyte of data stored costs 5 cents

no matter how many gigabytes are stored.

Imagine that the price per gallon of gas with a $7 car wash is $3. 19 and the price without the car wash is $3. 39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

If we plan to buy more than 10 gallons of gas, it is worth it to buy the car wash, assuming that the cost of the car wash is $2.

The car wash costs $7, and the price per gallon of gas with the car wash is $3.19, while the price per gallon of gas without the car wash is $3.39. Let's assume that we buy x gallons of gas, then the total cost of buying gas with the car wash would be:

Total cost with car wash = 7 + 3.19x

The total cost of buying gas without the car wash would be:

Total cost without car wash = 3.39x

To determine when it is worth it to buy the car wash, we need to find when the total cost with the car wash is less than the total cost without the car wash:

7 + 3.19x < 3.39x

Solving for x:

7 < 0.2x

x > 35

This means that if we plan to buy more than 35 gallons of gas, it is worth it to buy the car wash.

Now, let's consider the scenario where the car wash costs $2. The total cost of buying gas with the car wash would be:

Total cost with car wash = 2 + 3.19x

To determine when it is worth it to buy the car wash in this scenario, we need to find when the total cost with the car wash is less than the total cost without the car wash:

2 + 3.19x < 3.39x

Solving for x:

2 < 0.2x

x > 10

This means that if we plan to buy more than 10 gallons of gas, it is worth it to buy the car wash, assuming that the cost of the car wash is $2.

To learn more about cost, click here:

https://brainly.com/question/30045916

#SPJ11

Find the equation for the line that:
passes through (-4,-7) and has slope -6/7

The slope intercept form of the function is:​

Answers

Answer:    [tex]y=\frac{-6}{7} x+\frac{-73}{7}[/tex]

Step-by-step explanation:

The slope intercept form for a line is y=mx+b, where m is slope and b is the y intercept. For this form, we need to know the slope and y intercept.

The slope and one x and y are give, so we can plug in all of these values into the slope intercept equation to solve for b.

Doing so, we get:

[tex]y=mx+b\\-7=\frac{-6}{7} (-4)+b\\b=-7-\frac{24}{7} \\b=\frac{-73}{7}[/tex]

So, knowing the slope and y intercept, our equation is

[tex]y=\frac{-6}{7} x+\frac{-73}{7}[/tex]

Two friends larbi and aminu,plays a game of chess with equal amount of money at the beginning (zero sum games) at the end of the game larbi lost 5 elevens of his amount and aminu gains 6 cedis more than one half of what is left for larbi. what total amount of money was left at the beginning of the game​

Answers

At the beginning of the game, the total amount of money between Larbi and Aminu was 66 cedis.

Let x be the total amount of money at the beginning of the game.

After the game, Larbi lost 5/11x, so he has (1-5/11)x = 6/11x left.

Aminu gained 6 more than 1/2 of what Larbi has left, which is (1/2)(6/11x) + 6 = 3/11x + 6.

The total amount left after the game is the sum of what Larbi and Aminu have, which is (6/11x) + (3/11x + 6) = (9/11x) + 6.

Since this is equal to x (the total amount they started with), we have:

(9/11x) + 6 = x

Solving for x, we get:

x = 66.

To know more about zero sum games:

https://brainly.com/question/11349762

#SPJ4

At Kennedy High School, the probability of a student playing in the band is 0. 15. The probability of a student playing in the band and playingon the football team is 0. 3. Given that a student at Kennedy plays in the band, what is the probability that they play on the football team?

Answers

In order to find the probability of a student playing on the football team given that they play in the band, we'll use conditional probability.

The formula for conditional probability is P(A|B) = P(A and B) / P(B).

In this case, A represents playing on the football team, and B represents playing in the band.

Given:
P(B) = 0.15 (probability of playing in the band)
P(A and B) = 0.03 (probability of playing in the band and on the football team)

Now we can apply the formula:

P(A|B) = P(A and B) / P(B) = 0.03 / 0.15 = 0.2

So, the probability that a student at Kennedy High School plays on the football team given that they play in the band is 0.2 or 20%.

To know more about Probability:

https://brainly.com/question/251701

#SPJ11

Area of this shape irregular polygon the high is 4 and width 13


:)

Answers

The area of this irregular polygon is 344.5 square units.

To find the area of an irregular polygon, you can divide it into smaller, simpler shapes.

In this case, we can divide the polygon into a rectangle and a right triangle.

The rectangle has a height of 4 and a width of 13, so its area is 4 x 13 = 52 square units.

The right triangle has a base of 13 and a height of (110 - 4 x 13) / 2 = 45, since the total height of the polygon is 110.

Therefore, the area of the right triangle is (1/2) x base x height = (1/2) x 13 x 45 = 292.5 square units.

Adding the areas of the rectangle and the triangle, we get a total area of 52 + 292.5 = 344.5 square units.

Learn more about polygon at

https://brainly.com/question/24464711

#SPJ11

evaluate the integral tan inverse v(x+2 ) dx by making substitution
and then table of integrals

Answers

To evaluate the integral of tan inverse v(x+2) dx, we need to make a substitution. Let u = x + 2, then du/dx = 1 and dx= du. Therefore, the final answer is: ∫ tan inverse v(x+2) dx = (x+2) tan inverse v(x+2) - tan inverse v(x+2) / v'(x+2) + C

Substituting this back into the integral, we get:
∫ tan inverse v(x+2) dx = ∫ tan inverse v(u) du
Using the formula from the table of integrals, we have:
∫ tan inverse v(u) du = u tan inverse v(u) - ∫ u / (1 + v(u)^2) du
Substituting back u = x + 2, we get:
∫ tan inverse v(x+2) dx = (x+2) tan inverse v(x+2) - ∫ (x+2) / (1 + v(x+2)^2) dx
Now, we can use another substitution, let t = v(x+2), then dt/dx = v'(x+2) and dx = dt / v'(x+2).
Substituting this back into the integral, we get:
∫ (x+2) / (1 + v(x+2)^2) dx = ∫ (x+2) / (1 + t^2) dt / v'(x+2)
Using the formula from the table of integrals, we have:
∫ (x+2) / (1 + t^2) dt = tan inverse t + C
where C is the constant of integration.
Substituting back t = v(x+2), we get:
∫ (x+2) / (1 + v(x+2)^2) dx = tan inverse v(x+2) / v'(x+2) + C
Therefore, the final answer is:
∫ tan inverse v(x+2) dx = (x+2) tan inverse v(x+2) - tan inverse v(x+2) / v'(x+2) + C
where C is the constant of integration.


To evaluate the integral of tan inverse v(x+2) dx using substitution, we'll first make a substitution:
Let u = x+2. Then, du = dx.
Now, we can rewrite the integral as:
∫tan^(-1)(v(u)) du
Next, we'll look up the integral of tan^(-1)(v(u)) in a table of integrals. Unfortunately, there isn't a direct formula for this specific integral. However, we can use integration by parts to proceed further.
Let I = ∫tan^(-1)(v(u)) du. Let's choose:
f(u) = tan^(-1)(v(u)) and df(u) = du,
g'(u) = 1 and dg(u) = u du.
Using integration by parts formula:
I = f(u)g(u) - ∫g(u)df(u)
I = u*tan^(-1)(v(u)) - ∫u(1/(1+v^2(u))) du
Now, we'll need to substitute back x+2 for u:
I = (x+2)*tan^(-1)(v(x+2)) - ∫(x+2)(1/(1+v^2(x+2))) dx
This integral doesn't have a simple closed-form solution, so the final answer will remain in the form shown above.

Visit here to learn more about tan inverse:

brainly.com/question/30340333

#SPJ11

HELPPPPPPPPPPP HELPPPP PLEASEEE ITS MATHHHH

Answers

sorry, I am really sorry I really need the points. Just by seeing it I think in the 3 one am not sure but don't trust me because I just saw it and thought it was 3........

Other Questions
Part 3Answer the following questions in your own words. Be sure to explain each response. Who extends credit to the government? Is credit good for the economy? Should the government spend money on credit? What are two examples of financial institutions? How and why does the government affect the operation of a financial institution? A student made the claim that a 4 gram paintball fired from a paintball gun at 90 m/s could have about the same kinetic energy as a 1 gram bb pellet fired from a bb gun at 180 m/s do you agree or disagree with the student's claim? Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. the numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green. what is the probability that amelie spins either an odd number or a red number? While engaged in his studies, how does the narrator respond to his father's letters?Group of answer choicesHe answers the letters with cheerful note, so his family will not come see him. He sends back short responses, and doesn't explain what he's doing. He burns the letters without opening them. He basically ignores them In "Sonnet 73," Shakespeare describes old age through a series of metaphors. In an essay of at least 200 words, describe how these metaphors work within the poems structure to tell a story of the process of aging. What is the tone the speaker takes toward aging, and how is that tone created by the progression of metaphors, the rhythm of the lines, and the rhyming words in the poem? Remember to cite evidence from the poem to support your ideas If $x$ is a positive number such that\[\sqrt{8x}\cdot\sqrt{10x}\cdot\sqrt{3x}\cdot\sqrt{15x}=15,\]find all possible values for $x$. Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? A) No, it's short $207. 0. Eliminate B) No, it's short $227. 0. C) Yes, there's a surplus of $207. 0. D) Yes, there's a surplus of $227. 0 Given the following similar triangles, what is the area of triangle B?A 1 B 1.8 C 3.2 D 5 You are watching Canada day fireworks from a distance. You observe the light, and then hear the sound 3. 50 seconds later. How far are you from the location of the firework, if the termometer outside of yur home shows a temperature of 5. 00 degrees celcius? What will happen if the yellowstone volcano erupts?. Q1. Write a dialogue, in not more than 120 words, between you and your grandmother as the latter seeks for your help in learning how to operate her new smartphone. You are Kunal/Kriti. What is the probability of drawing the Ace of Diamonds from a deck of cards, putting it back in the deck, shuffling the deck, and then drawing the Ace of Clubs? Pls hhelp help civics At the school bookstore, Rylan bought two spiral notebooks and one folder and paid $6. 70. Olivia bought three spiral notebooks and five folders and paid $12. 85. Find the cost of each folder 1- April, 15 1865: Why did Lincoln choose Andrew Johnson to be vice president, and how did his background influence his thinking about Reconstruction? FOR JOURNALISM!! Please post detailed answers to the following questions. Please use complete sentences. There are many news organizations that cater to a specific audience or perspective. Give an example of one of these and explain the positive and negative consequences of this kind of specialized media Examples of agricultural modernization in south sudan imagine that you are going on a three days pokhara trek during your vacation what will you do on different days Create an acrostic poem to present ways to prevent soil erosion Every winter, students at Camden Middle School go on a class ski trip. For every inch of snow that falls, an additional 25 students sign up. Write an expression showing the total number of students going on the trip, using only a variable to represent the additional studentsNow write a different expression to show the total number of students going on the trip, using an expression consisting of a variable and a number to represent the students