Every morning Jim runs for 15 minutes. If Jim runs 4 miles per​ hour, how far does Jim ​travel? Use the equation d=​rt, where d is​ distance, r is​ rate, and t is time.

The true statements are:

The initial cost for manufacturing records is $454, regardless of the number of records ordered.

In addition to the initial cost, each record costs $0.90 to manufacture.

Each record costs a total of $454.90 to manufacture.

As according to the question the function f(x)= 454+0.9x gives the cost, in dollars, of manufacturing x vinyl records.

Hence the incorrect statements are:

"The initial cost for manufacturing records depend on the quantity ordered".

"in addition to the initial cost, each record costs $454 to manufacture".

To know more about questions related to function:

https://brainly.com/question/28371350

#SPJ4

If net of a rectangular prism with dimensions 4 and one-half centimeters by 3 centimeters by 8 and one-half centimeters, the surface area of the rectangular prism is 154.5 cm². So, correct option is B.

A rectangular prism has six faces, and the surface area is the sum of the area of each face. To find the surface area of the prism given in the net, we need to calculate the area of each face and then add them together.

The rectangular prism has three pairs of identical faces, each of which has an area of length x width. Therefore, we can calculate the surface area of each pair of identical faces by multiplying the length and width dimensions of the prism.

The first pair of identical faces has dimensions 4.5 cm x 3 cm.

The area of one face = (4.5 cm) x (3 cm) = 13.5 cm².

So, the area of both faces = 2 x 13.5 cm² = 27 cm².

The second pair of identical faces has dimensions 4.5 cm x 8.5 cm.

The area of one face = (4.5 cm) x (8.5 cm) = 38.25 cm².

So, the area of both faces = 2 x 38.25 cm² = 76.5 cm².

The third pair of identical faces has dimensions 3 cm x 8.5 cm.

The area of one face = (3 cm) x (8.5 cm) = 25.5 cm².

So, the area of both faces = 2 x 25.5 cm² = 51 cm².

To find the total surface area, we add up the areas of all the faces:

Surface area = 27 cm² + 76.5 cm² + 51 cm² = 154.5 cm².

So, correct option is B

To learn more about surface area click on,

https://brainly.com/question/30731895

#SPJ1

The discount is 26%.

The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

Given:

[tex]\bold{Marked} \ \text{price} = \$25[/tex]

[tex]\bold{Selling} \ \text{price} = \$18.50[/tex]

So,

[tex]\text{Discount = MP - SP}[/tex]

[tex]\text{Discount} = 25-18.50[/tex]

[tex]\bold{Discount} = 6.50[/tex]

Now,

[tex]\text{D}\% = \dfrac{\text{D}}{\text{MP}} \times100[/tex]

[tex]\text{D}\% = \dfrac{6.5}{25} \times100[/tex]

[tex]\text{D}\% = 26\%[/tex]

Hence, the discount percent is 26%.

Learn more about discount here:

brainly.com/question/3541148

The proper options provided for the required equation of a circle is

At the center of the circle there rests a y-axis, so its x-coordinate is equal to 0.

The formula for a specified circle with coordinates (0, k) and radius r is  

(x - 0)² + (y - k)² = r²

Therefore, the equation ends up categorically signified by:

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Learn more about equation of a circle at

https://brainly.com/question/1506955

#SPJ1

Answer:

Step-by-step explanation:

√4x^2=2x

The correct sequence for the samples in order of least variation to greatest variation is:

Sample A: A sample of 10 people

Sample D: A sample of 20 people

Sample B: A sample of 50 people

Sample C: A sample of 100 people

The reason for this sequence is that larger sample sizes tend to provide more accurate estimates of the population parameters, while smaller sample sizes are more prone to random fluctuations and sampling error.

Therefore, sample A (with the smallest sample size of 10) is likely to have the greatest variation from the expected value, while sample C (with the largest sample size of 100) is likely to have the least variation from the expected value.

To know more about "Sample size" refer here:

https://brainly.com/question/30526686#
#SPJ11

Answer:

B

Step-by-step explanation:

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given we can see that the line intersects with the Y-Intercept at (0,3), we can use process of elimination and erase answer choices A and D.

Now we are left with answr choices B and C, lets see where the line intersects with the X axis.

Helpful Tip:

If the line intersects with the X-Axis in between whole numbers, like for example this line intersects between 1 and 2, the slope will always be a fraction, which in this case the only fraction that we have left in answer choice B, which leads us to our answer.

The height of the given trapezoid-shaped tabletop is 75.5 centimeters.

The height of the trapezoid-shaped tabletop. To calculate the height, we can use the formula for the area of a trapezoid: A = (1/2)(b1 + b2)h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.

Given the area (A) is 7,701 square centimeters, the longer base (b1) measures 119 centimeters, and the shorter base (b2) is 85 centimeters, we can solve for the height (h) using the following steps:

1. Plug in the given values into the formula: 7,701 = (1/2)(119 + 85)h
2. Simplify the expression inside the parentheses: 7,701 = (1/2)(204)h
3. Multiply the two numbers inside the parentheses: 7,701 = 102h
4. Divide both sides of the equation by 102 to solve for h: h = 7,701 / 102
5. Calculate the value of h: h ≈ 75.5 centimeters

So, the height of the trapezoid-shaped tabletop is approximately 75.5 centimeters.

To learn more about Trapezoid

https://brainly.com/question/17078769

#SPJ11

Table c represents a proportional relationship because the ratio of y to x is constant at 18.

A proportional relationship is a relationship between two quantities where their ratios always remain the same.

In option (a), the ratio of y to x is not constant. For example, y/x = 40/1 = 40, but y/x = 148/4 = 37. Therefore, this table does not represent a proportional relationship.

In option (b), the ratio of y to x is not constant either. For example, y/x = 48/2 = 24, but y/x = 192/5 = 38.4. Therefore, this table does not represent a proportional relationship.

In option (c), the ratio of y to x is constant. For example, y/x = 18/1 = 18, but y/x = 126/7 = 18. Therefore, this table represent a proportional relationship.

Read more about proportion at

https://brainly.com/question/870035

#SPJ1

Which of the following tables represent a proportional relationship?

a. y/x= 40/1 76/2 112/3 148/4

b. y/x= 48/2 96/3 144/4 192/5

c. y/x= 18/1 54/3 90/5 126/7

d. 24/1 21/2 18/3 15/4

a. The hospital will incur a loss of $25,000 on the sale of the old scanner.

b. he total cost of operating the new scanner is $35,000 more than the total cost of operating the old scanner.

c. Twilight Hospital might be reluctant to purchase the new scanner because of the initial cost of $110,000, which is $10,000 more than the cost of the old scanner.

a. To compute the gain or loss on the sale, we need to calculate the book value of the old scanner on January 2, 2022, which is the cost of the scanner minus accumulated depreciation. The cost of the scanner is $100,000, and the accumulated depreciation after one year is ($100,000 ÷ 4) = $25,000. Therefore, the book value is $75,000. Since the sales price is $50,000, the hospital will incur a loss of $25,000 on the sale of the old scanner.

b. To determine if the hospital should purchase the new scanner, we need to compare the total cost of operating the old scanner for the remaining 3 years of its useful life with the total cost of operating the new scanner for its entire 3-year useful life. The total cost of operating the old scanner for 3 years is:

$105,000 × 3 = $315,000

The total cost of operating the new scanner for 3 years is:

($110,000 − $50,000) + ($80,000 × 3) = $350,000

Therefore, the total cost of operating the new scanner is $35,000 more than the total cost of operating the old scanner. Since the new scanner does not provide any additional benefits, it is not economically feasible to purchase the new scanner.

c. Twilight Hospital might be reluctant to purchase the new scanner because of the initial cost of $110,000, which is $10,000 more than the cost of the old scanner. Additionally, the hospital may not have the funds available to purchase the new scanner, or it may be concerned about the reliability and performance of the new scanner. Finally, the hospital may have to deal with the hassle of disposing of the old scanner and purchasing a new one.

Learn more about "cost":

https://brainly.com/question/19104371

#SPJ11

a). The scale factor of shape A to B is 4/5

b) The value of t is 5.6cm

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

Scale factor = dimension of new length/ dimension of old length

= 4/5 = 12/15

therefore the scale factor of from shape A to shape B is 4/5.

b) 4/5 = t/7

5t = 28

divide both sides by 5

t = 28/5

t = 5.6 cm

therefore the value of t is 5.6cm

learn more about scale factor from

https://brainly.com/question/25722260

#SPJ1

The first five terms of the sequence  are: 3/5, 3/4, 9/7, 3/2, 15/9.

To find the first five terms of the sequence  aₙ = 3n/(n+4)

we need to substitute the values of n from 1 to 5 and solve for .

a₁ = 3×1/(1+4) = 3/5

a₂ = 3×2/(2+4) = 3/4

a₃ = 3×3/(3+4) = 9/7

a₄ = 3×4/(4+4) = 12/8 = 3/2

a₅ = 3×5/(5+4) = 15/9

Hence, the first five terms of the sequence  are: 3/5, 3/4, 9/7, 3/2, 15/9.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

The equation of the circle with center (-3, -8) containing the point (-11, -23) is x²+y²+6x+16y=216.

The general form of the equation of the circle is (x-h) ²+(y-k) ²=r².

Here, (h, k) indicates the circle's center, and r indicates the circle's radius.

In the given question, (-3, -8) is the center of the circle.

Here, h = -3, k = -8.

Now, we need to find the radius of the circle.

Radius is the distance between the center of the circle and the given point (-11, -23).

Distance formula = √(x2-x1) ²+(y2-y1) ²

√ (-11-(-3)) ² + (-23-(-8)) ²

√ (-11+3) ² + (-23+8) ²

√64+225

√289

17.

So, the radius of the circle is 17.

Now, we can find the equation of the circle by substituting in the formula.

(x-h) ² + (y-k) ² = r²

(x-(-3)) ² + (y - (-8)) ² = 17²

(x+3) ² + (y+8) ² = 289.

x²+6x+9+y²+16y+64=289

x²+y²+6x+16y=216.

Therefore, the equation of the circle is x²+y²+6x+16y=216.

To know more about the Equation of Circle, click on: https://brainly.com/question/29288238.

The correct expression equivalent to 16 + 2 x 36 is 88.

To simplify the expression, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this case, we have multiplication and addition.

Using the order of operations, we first need to perform the multiplication:

2 x 36 = 72

Then, we add 16 to the product:

16 + 72 = 88

Therefore, 16 + 2 x 36 is equivalent to 88.

Learn more about Simplification: https://brainly.com/question/2804192

#SPJ11

650 adult tickets and 350 child tickets were sold for the local high school musical.

To determine how many adult and child tickets were sold for the local high school musical, you can use a system of linear equations. Let's use the terms "x" for adult tickets and "y" for child tickets.

1. The total number of tickets sold is 1000, so we have:
x + y = 1000

2. The total amount collected from ticket sales is $7100, so we have:
8.50x + 4.50y = 7100

Now, let's solve this system of equations step-by-step:

Step 1: Solve the first equation for x:
x = 1000 - y

Step 2: Substitute the expression for x from Step 1 into the second equation:
8.50(1000 - y) + 4.50y = 7100

Step 3: Simplify the equation:
8500 - 8.50y + 4.50y = 7100

Step 4: Combine like terms:
-4.00y = -1400

Step 5: Divide both sides by -4.00:
y = 350

Step 6: Substitute the value of y back into the expression for x from Step 1:
x = 1000 - 350

Step 7: Calculate the value of x:
x = 650

So, 650 adult tickets and 350 child tickets were sold for the local high school musical.

To learn more about equations

https://brainly.com/question/29174899

#SPJ11

Points of inflection: (11/6, -10.37).

To determine the intervals of concavity and find the points of inflection, we first need to find the second derivative of the function f(x) = 2x^3 - 11x^2 + 7.

1. First derivative:
f'(x) = 6x^2 - 22x

2. Second derivative:
f''(x) = 12x - 22

Now, we need to find the critical points by setting the second derivative equal to zero:

12x - 22 = 0
x = 11/6

The point of inflection occurs at x = 11/6. Now, let's find the intervals of concavity:

1. f''(x) > 0 (concave up):
12x - 22 > 0
x > 11/6

2. f''(x) < 0 (concave down):
12x - 22 < 0
x < 11/6

Finally, we need to find the y-coordinate for the point of inflection:

f(11/6) = 2(11/6)^3 - 11(11/6)^2 + 7 ≈ -10.37

So, the point of inflection is (11/6, -10.37).

Points of inflection: (11/6, -10.37).
Your answer: The function is concave up on the interval (11/6, ∞) and concave down on the interval (-∞, 11/6). The point of inflection is (11/6, -10.37).

To learn more about inflection, refer below:

https://brainly.com/question/11986000

#SPJ11

To calculate the total dinner cost, we need to add the bill amount to the tip amount.

The tip amount is 18% of the bill amount:

Tip = 0.18 x $57.50 = $10.35

Therefore, the total dinner cost is:

Total Cost = Bill Amount + Tip Amount

Total Cost = $57.50 + $10.35

Total Cost = $67.85

So, the total dinner cost including the 18% tip is $67.85.

To know more about total costs , refer here :

https://brainly.com/question/30355738#

#SPJ11

The statement "limit as x goes to infinity of the quotient of f of x and g of x equals 5" means that as x gets larger and larger, the ratio of f(x) to g(x) approaches 5.

If f(x) grows faster than g(x) as x goes to infinity, then the ratio of f(x) to g(x) would approach infinity, not 5.

If f(x) and g(x) grow at the same rate as x goes to infinity, then the ratio of f(x) to g(x) would approach a constant value, not necessarily 5.

Therefore, the statement "limit as x goes to infinity of the quotient of f of x and g of x equals 5" shows that g(x) grows faster than f(x) as x goes to infinity. L'Hôpital's Rule is not necessary to determine this conclusion.

To learn more about limit, refer below:

https://brainly.com/question/8533149

#SPJ11

Answer:

C)4.192

Step-by-step explanation:

What is 524/125 written as a decimal?

We Take

524 divided by 125 = 4.192

So, the answer is C)4.192

Answer:

x = 4, y = 1, z = 5

Step-by-step explanation:

z + x =9....(3) we can say it's x + z = 9

x - z = - 1

x + z = 9

______ -

- 2z= - 10

z = 10/2

z = 5

if z + x = 9

5 + x = 9

x = 9 - 5

x = 4

if x + y = 5

4 + y = 5

y = 5 - 4

y = 1

The sum is equal to 18600.

Let's first simplify the expression inside the brackets:

(i^2 - 21 + 1) - 4 = i^2 - 24

Now we can write the sum using sigma notation:

15 Σ (i^2 - 24), i=1

Using the summation formulas of the first n squares, we have:

Σ i^2 = n(n+1)(2n+1)/6

So, substituting n = 1 to 15, we get:

15 Σ i^2 = 15 Σ n(n+1)(2n+1)/6

Now, let's use the formula for the sum of the first n integers:

Σ i = n(n+1)/2

Substituting n = 1 to 15, we get:

Σ i = 1 + 2 + ... + 15 = 15(15+1)/2 = 120

Substituting these formulas into our original expression, we have:

15 Σ (i^2 - 24), i=1

= 15 [Σ i^2 - 24Σ i], i=1

= 15 [15(15+1)(2(15)+1)/6 - 24(120)]

= 15 [1240]

= 18600

Therefore, the sum of 15 (i^2 - 24) from i = 1 to 15 is equal to 18600.

Learn more about summation

brainly.com/question/29156854

#SPJ11

For the first question:
There are 6 notes and 6 envelopes, so there are 6! (or 720) possible ways to insert the notes into the envelopes. Only one of these ways will result in all notes being inserted into the correct envelopes. Therefore, the probability is 1/720 or 0.001389.

For the second question:
(A) There are 2 gold courses and twice as many bronzes as silver courses, so there are 2 + 2x + x = 20 courses in total, where x is the number of silver courses. Solving for x, we get x = 6. Therefore, there are 2 + 6 + 12 = 20 possible courses to select from if the golfer decides to play a round at a silver or gold course.

(B) If the golfer decides to play one round per week for 3 weeks, there are 12 possible combinations of courses to play. To see why, consider the following cases:
Week 1: bronze, Week 2: silver, Week 3: gold
Week 1: bronze, Week 2: gold, Week 3: Silver
Week 1: silver, Week 2: bronze, Week 3: gold
Week 1: silver, Week 2: gold, Week 3: bronze
Week 1: gold, Week 2: bronze, Week 3: Silver
Week 1: gold, Week 2: silver, Week 3: bronze

Each case has 2 possible choices for the bronze course, 6 possible choices for the silver course, and 2 possible choices for the gold course, for a total of 2 x 6 x 2 = 24 possible combinations. However, since the order of the courses doesn't matter, we must divide by 3! (or 6) to get rid of the extra permutations. Therefore, there are 24/6 = 4 possible combinations for each case, giving a total of 6 x 4 = 24 possible combinations of courses to play.

Learn more about probability, here:

brainly.com/question/13604758

#SPJ11

Therefore, the square root function that has been reflected over the x-axis and moved up 9 units is: g(x) = -√(x) + 9.

In mathematics, a function is a relation between two sets, called the domain and the range, that associates each element in the domain with a unique element in the range. A function is often denoted by a symbol such as f, and is defined by a rule that assigns to each element x in the domain a corresponding value f(x) in the range. Functions can have many different forms and types, depending on the nature of the rule that defines them. Some common types of functions include linear functions, quadratic functions, exponential functions, trigonometric functions, and many others.

Here,

A square root function is a function of the form f(x) = √(x), where the square root of x is taken. To reflect the function over the x-axis, we multiply the function by -1, which changes the sign of the function values.

So, the reflected square root function is g(x) = -√(x). To move the function up by 9 units, we add 9 to the function, which shifts the function vertically upwards.

To know more about function,

https://brainly.com/question/28193995

#SPJ1

The solution of the given differential equation is y = x + Cx⁴ - x²/4, where C is a constant.

We begin by rearranging the terms as follows:

(4y + x³ - 7)dx = (4x)dy

Integrating both sides, we get:

4xy + (1/4)x⁴ - 7x = 2y² + C

where C is the constant of integration.

Next, we can rearrange this equation to solve for y:

y² = 2xy + (1/8)x⁴ - (7/2)x - C/2

y² - 2xy = (1/8)x⁴ - (7/2)x - C/2

We can complete the square to obtain a more useful expression:

(y - x)² = (1/8)x⁴ - (7/2)x - C/2 + x²

y - x = ±sqrt((1/8)x⁴ - (7/2)x - C/2 + x²)

Simplifying this expression, we get:

y = x ±sqrt(Cx⁴ - (1/4)x⁴ + 7x - C)

Taking the positive sign for simplicity, we get the final solution as:

y = x + sqrt(Cx⁴ - (1/4)x⁴ + 7x - C)

where C is the constant of integration.

We can also simplify this solution further by using the identity (a + b)² = a² + 2ab + b² to get:

y = x + Cx⁴ - x²/4

where C is a constant, as desired.

To know more about differential equation, refer here:
https://brainly.com/question/1164377#
#SPJ11

If a baseball pitcher records 153 strikeouts in his first year pitching with the number of strikeouts decreasing by 31% yearly, and if the trend continues, the upper limit on the total of strikeouts over the pitcher's lifetime is 153.

The upper limit refers to the maximum value possible.

The initial number of recorded strikeouts = 153

The annual decay rate = 31%

Decay factor = 0.69 (1 - 0.31)

Let the number of strikeouts in the year = y

Let the number of years of pitching = x

y = 153(0.69)^x

For instance, if x = 3, y = 153(0.69)^3

y = 50

Learn more about the upper limit at https://brainly.com/question/25739974.

#SPJ1

The probability that a student chosen randomly from the class has a brother is approximately 0.143 or 14.3%.

To find the probability that a student chosen randomly from the class has a brother, we need to look at the number of students who have a brother and divide it by the total number of students in the class.

From the given data table, we see that there are a total of 4+2+12+10=28 students in the class. Out of these, 4 students have a brother. Therefore, the probability that a student chosen randomly from the class has a brother is:

P(having a brother) = Number of students having a brother / Total number of students

= 4 / 28

= 1/7

≈ 0.143

Learn more about  probability

brainly.com/question/30034780

#SPJ11

The Bubba Corp would owe $109,180 in taxes based on its earnings before taxes of $206,000 and sales of $2,060,000.

To determine the taxes owed by the Bubba Corp, we first need to calculate its taxable income. Taxable income is equal to earnings before taxes minus deductions and exemptions. Assuming no deductions or exemptions, the taxable income for the Bubba Corp would be:

Taxable income = Earnings before taxes = $206,000

Next, we need to calculate the amount of taxes owed. The Bubba Corp is in the 53% tax bracket, which means that it owes 53 cents on every dollar of taxable income. Therefore, the amount of taxes owed would be:

Taxes owed = Taxable income x Tax rate

= $206,000 x 0.53

= $109,180

In summary, the Bubba Corp would owe $109,180 in taxes based on its earnings before taxes of $206,000 and sales of $2,060,000, assuming no deductions or exemptions.

Learn more about taxes

brainly.com/question/27020116

#SPJ11

Answer: 27 inches sq.

Step-by-step explanation:

3*3=9

2*9=18

18+9=27

The younger parent is at least 1 year old, and the older parent is 23 years old.

If your best friend's parents have an age gap of 11 years, then we can assume that one of them is 11 years older than the other. Let's call the younger parent "X" years old. Then the older parent must be X + 11 years old. Since your best friend is 12 years old, we know that both of her parents are older than 12. Therefore, we can set up an equation:

X + (X + 11) > 12

Simplifying this, we get:

2X + 11 > 12

2X > 1

X > 0.5

Since X must be a whole number (you can't have half a year of age), we know that X must be at least 1. Therefore, the younger parent is at least 1 year old. Using our equation, we can find the age of the older parent:

X + 11 = 12 + 11 = 23

Therefore, the younger parent is at least 1 year old, and the older parent is 23 years old.

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

https://brainly.com/question/27947853#

#SPJ11

The probability to get 5 and blue that is the value of P(5 and blue) = 1/24.

Hence the correct option is (B).

From the definition of Probability we can know that,

Probability of an event = (The number of outcomes favorable to the event)/(Total number of outcomes)

Here, Sample space if we roll a dice = {1, 2, 3, 4, 5, 6}

Total number of outcomes = 6

5 is one of the face value of dice.

The probability to get 5 on dice as face value = 1/6.

So, P(5) = 1/6

In picture we can see that there is total 4 space that are one blue and two yellow and one green space.

So the probability spinner land on blue space = 1/4

So, P(blue) = 1/4

Roll of dice and spin a spinner are two independent events as their outcomes do noy rely on each other.

Now the probability to get 5 and blue is given by,

= P(5 and blue)

= P(5)*P(blue)

= (1/6)*(1/4)

= 1/(6*4)

= 1/24

Hence the correct option is (B).

To know more about independent events here

https://brainly.com/question/27692683

#SPJ1