there are at present 40 solar energy construction firms in the state of indiana. an average of 20 solar energy construction firms open each year in the state. the average firm stays in business for 10 years. if present trends continue, what is the expected number of solar energy construction firms that will be found in indiana? if the time between the entries of firms into the industry is exponentially distributed, what is the probability that (in the steady state) there will be more than 300 solar energy firms in business? (hint: for large l, the poisson distribution can be approximated by a normal distribution.)

Answers

Answer 1

a) The expected number of solar energy construction firms that will be in indiana

is equal to 200 firms.

b) In case of exponential Probability distribution that there will be more than 300 solar energy firms in business is equals to the 0.305 × 10⁻⁵ .

The Poisson process is used when events are independent of each other and the average rate is constant. Two events cannot occur simultaneously. We have a data of about the number of solar energy construction firms in the state of indiana. Number of solar energy construction firms in the state at present

= 40

Average of solar energy construction firms open each year in the state = 20

For number of year average firm stays in business = 10 years.

We have to determine the expected number of solar energy construction firms that will be found in indiana. Let X be excepted value,then (X∼Poi(λt)X∼ Poi(200),

a) If the present trends continue, then the expected number of energy construction firms that will be found in Indiana will be

Expected Number of firms = 20× 10

= 200 firms

(b) If the time between the entries of firms into the industry is exponentially distributed. Then the probability that there will be more than 300 solar energy firms in business, P ( x> 300) = e⁻ᵐˣ , where m = 1/20 and x

= 300

=> P( x> 300) = 1/exp.( 300/20)

= e⁻¹⁵

= 0.0000003059 = 0.305 × 10⁻⁵

Hence, required probability value is 0.305 × 10⁻⁵.

For more information about exponential distribution, visit:

https://brainly.com/question/11843641

#SPJ4


Related Questions

The equation y=mx+b
is used to express the equation of a line. Which solution is a correct way to solve this equation for m
in terms of y
?

Answers

The  correct way to solve this equation for m in terms of y is  m = b - y/x

How to determine the value

It is important to note that subject of formula is the variable that is made to stand alone in an equation.

It is described as the variable that is being worked out in an equation.

The subject of formula in an equation is worked to stand alone on on end of the equality sign.

Example of equations

x = y - 2

The variable 'x' is the subject of formula

From the information given, we have that;

y= mx+b

collect the terms

mx = b - y

Divide by the coefficient

m = b - y/x

The equation for m is m = b - y/x

Learn about subject of formula at: https://brainly.com/question/10643782

#SPJ1

The complete question:

The equation y=mx+b is used to express the equation of a line. Which solution is a correct way to solve this equation for m in terms of y?

Penny needs 12 ounces of a snack mix that is made up of chocolate and almonds. Chocolate cost $3. 50 per ounce and almonds cost $4. 50 per ounce. Penny has $50 to spend and plans to sell it all. X the amount of chocolate and Y is the amount of almonds. Determine which equations you are used to form a system of equations for the scenario

Answers

The two equations which can be used to form a system of equations for the scenario are X + Y = 12 and 3.50X + 4.50Y = 50

To solve this problem, we need to form a system of equations. Let X be the amount of chocolate and Y be the amount of almonds. The first equation we can form is based on the total amount of snack mix that Penny needs, which is 12 ounces:

X + Y = 12

The second equation we can form is based on the cost of the ingredients. We know that chocolate costs $3.50 per ounce and almonds cost $4.50 per ounce. If X is the amount of chocolate and Y is the amount of almonds, then the total cost of the snack mix will be:

3.50X + 4.50Y = 50

This equation represents the fact that Penny has $50 to spend on the snack mix. Now we have a system of two equations that we can use to solve for X and Y. We can use substitution or elimination to solve the system and find the values of X and Y that satisfy both equations.

Once we have those values, we can check that they add up to 12 and that the total cost is $50. This system of equations allows us to calculate the amount of chocolate and almonds Penny needs to make the snack mix within her budget.

To know more about equations, visit:

https://brainly.com/question/29657983#

#SPJ11

At her job, Avery earns $120 per week plus a one-time $300 bonus. Janelle teaches art lessons and earns $24 per week plus a $60 art supply fee for each student she teaches. a. System of equations:

Answers

The system of equations to describe the earnings by Avery and Janelle would be:

Avery's earnings: y = 120x + 300

Janelle's earnings: y = 24x + 60s

How to find the system of equations ?

The problem provides two scenarios with different methods for earning money. Avery earns a fixed amount of $120 each week, in addition to a one-time bonus of $300. To represent this situation as an equation, we can use the formula:

y = 120x + 300

where y is Avery's total earnings, x is the number of weeks she works, and 300 is the one-time bonus she receives.

For Janelle, her earnings consist of a fixed weekly rate of $24 plus a variable amount based on the number of students she teaches.

We can represent Janelle's earnings as an equation using the formula:

y = 24x + 60s

where y is Janelle's total earnings, x is the number of weeks she works, and s is the number of students she teaches.

Find out more on system of equations at https://brainly.com/question/13729904

#SPJ1

its on the screenshot

Answers

The missing values can be found by setting up proportions for each of the ratios whose values are given. The completed table is shown below:

x              17       1/3       11

y               5.67     3.67     1.21

Ratio y/x   3.67          1/3      0.11

How do we calculate?

In order to find the missing values of y, we can use the given ratios to set up proportions:

For the first ratio:

y/x = 5.67/17

y = (5.67/17) * x

y = (5.67/17) * 11

y = 3.67

So the first missing value of y is 3.67.

For the second ratio:

y/x = 1/3

y = (1/3) * x

y = (1/3) * 1/3

y = 0.11

Therefore, the second missing value of y is  found as 0.11.

Learn more about ratios at:

https://brainly.com/question/12024093

#SPJ1

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

Answer:

Here we try the method of trial and error to find out if the equations have a common answer as zero

Step-by-step explanation:

Now,

(a) x²-4=0

(b) x²=-4

(c) 3x²+12=0

(d) 4x²=16

(e) 2(x-2)2=0

Here if we check the first equation i.e x²-4=0

Equating - 2²-4=4-4

=0

2²-4= 4-4

=0

So option (a) is true

Now x²=-4

Substituting, - 2²=4 & 2²=4

So here we get 4≠-4

Therefore, (b) is not true

Now 3x²+12=0

3(-2)²+12= 3(4)+12

=12+12= 24

3(2)²+12= 12+12

= 24

4x²=16

Substituting, 4(-2)²= 4(4)= 16

4(2)²= 4(4)= 16

So option (d) is also true

Now, 2(x-2)2=0

Substituting, 2(-2-2)2= 2(-4)2

4(-4)= - 16

2(2-2)2= 2(0)2

=4(0)=0

Here when we put x=-2, we get - 16

when we put x=2, we get 0

So the following equation is true only for x=2 and not x=-2

I hope this helps ;)

Christian is rewriting an expression of the form y = ax2 bx c in the form y = a(x – h)2 k. which of the following must be true? h and k cannot both equal zero k and c have the same value the value of a remains the same h is equal to one half –b

Answers

The value of 'a' remains the same, 'h' is equal to -b/(2a), and 'h' and 'k' cannot both equal zero.

When rewriting a quadratic expression of the form y = ax^2 + bx + c into the vertex form y = a(x - h)^2 + k, the following must be true:

1. The value of 'a' remains the same in both expressions, as it represents the parabola's vertical stretch or compression.

2. 'h' is equal to -b/(2a), which is derived from completing the square to transform the standard form into the vertex form.

3. 'k' and 'c' do not necessarily have the same value. 'k' is the value of the quadratic function when 'x' equals 'h', which can be found by substituting 'h' back into the original equation and solving for 'y'.

4. 'h' and 'k' cannot both equal zero, unless the vertex of the parabola is at the origin (0,0).

Learn more about quadratic equation at

https://brainly.com/question/2333233

#SPJ11

answer options:

x= 3, -4

x= 5, -1

x= 0, 5

x= 1, 5

Answers

From the given graph, the roots of the quadratic equation, 0 = x² - 6x + 5, is 1 and 5. The correct option is the last option x= 1, 5

Determining the roots of a quadratic function from the graph

From the question, we are to determine the roots of the quadratic equation from the provided graph.

From the given information,

The given quadratic equation is

0 = x² - 6x + 5

The roots of a quadratic function are the values of x where the function equals zero. On a graph, this corresponds to the points where the graph intersects the x-axis.

From the graph, we will read the x-coordinates of the points where the graph intersects the x-axis.

From the given graph, the x-coordinates of the points where the graph intersects the x-axis are 1 and 5

Hence, the roots of the quadratic equation is 1 and 5

Learn more on Determining roots of quadratic equation from graph here: https://brainly.com/question/21265554

#SPJ1

in KLMO, OM-25. What are the coordinates of M and K?
L(2b+4c4d)

M

Answers

The value of coordinate M and K are,

M = (25, 0)

K = (2b + 4c - 25, 2d)

Given that;

In KLMO,

OM = 25

L = (2b + 4c , 4d)

Hence, We can formulate;

The value of coordinate of M is,

M = (25, 0)

Since, M lies on x - axis.

Let the coordinate of K is,

K = (x, y)

Hence, Midpoint of LO is same as midpoint of KM.

Midpoint of LO is,

(0 + 2b + 4c / 2, 4d/2)

(b + 2c, 2d)

Midpoint of KM is

(x + 25/2, y + 0/2)

(x + 25/2 , y/2)

By comparing,

x + 25/2 = b + 2c

x + 25 = 2b + 4c

x = 2b + 4c - 25

y/2 = 2d

y = 2d

Thus, the coordinate of K is,

K = (2b + 4c - 25, 2d)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1

he figure below is a net for a rectangular prism. Side a = 62 centimeters, side b = 21 centimeters, and side c = 16 centimeters. What is the surface area of this figure?

Answers

The surface area of the rectangular prism is 4960 cm².

The rectangular prism can be divided into six rectangular faces, with opposite faces having the same area. To find the surface area, we need to calculate the area of each face and add them up.

The net shows three rectangles with dimensions of 62 cm x 21 cm, 62 cm x 16 cm, and 21 cm x 16 cm.

Therefore, the surface area of the rectangular prism is:

Area of the first rectangle = 62 cm x 21 cm = 1302 cm²

Area of the second rectangle = 62 cm x 16 cm = 992 cm²

Area of the third rectangle = 21 cm x 16 cm = 336 cm²

Total surface area = 2(Area of first rectangle) + 2(Area of second rectangle) + 2(Area of third rectangle)

= 2(1302) + 2(992) + 2(336)

= 2604 + 1984 + 672

= 4960 cm²

To learn more about surface follow the link:

https://brainly.com/question/29298005

#SPJ1

Suppose $40,000 is deposited into an account paying 2. 5% interest, compounded continuously.



How much money is in the account after eight years if no withdrawals or additional deposits are made?

Answers

The formula for calculating the amount of money in an account with continuous compounding is:

[tex]A = Pe^{(rt)}[/tex]

where A is the amount of money in the account, P is the principal (initial deposit), e is the mathematical constant e (approximately equal to 2.71828), r is the interest rate (expressed as a decimal), and t is the time (in years).

Plugging in the given values, we get:

A =[tex]40000 * e^{(0.025 * 8)[/tex]

Using a calculator, we find that [tex]e^{(0.025 * 8)[/tex] is approximately 1.2214, so:

A = 40000 * 1.2214 = $48,856.12

Therefore, the amount of money in the account after eight years with continuous compounding is $48,856.12.

To know more about interest rate refer here

https://brainly.com/question/14445709#

#SPJ11

Point EE is located at (-6,1)(−6,1) on the coordinate plane. Point EE is reflected over the yy-axis to create point E'E



. Point E'E





is then reflected over the xx-axis to create point E''E


′′
. What ordered pair describes the location of E''?E


′′


?



E= ?, ?

Answers

The ordered pair that describes the location of E'' is (6, -1).


The initial location of Point EE is (-6, 1). To reflect Point EE over the yy-axis, we will change the sign of the x-coordinate while keeping the y-coordinate the same.

Step 1: Reflect Point EE over the yy-axis to create Point E'.
E' = (6, 1)

Next, to reflect Point E' over the xx-axis, you'll change the sign of the y-coordinate while keeping the x-coordinate the same.

Step 2: Reflect Point E' over the xx-axis to create Point E''.
E'' = (6, -1)

Therefore, the ordered pair that describes the location of E'' is (6, -1).

To know more about ordered pair refer here:

https://brainly.com/question/30805001

#SPJ11

Question
Write the product using exponents.

(−13)⋅(−13)⋅(−13)

Answers

Answer:

(-13)^3

Step-by-step explanation:

Exponents can be used for repeated multiplication.

In this case, the number "negative 13" is repeated several times, all connected with multiplication.

There are a total of three "negative 13"s being multiplied together ("negative 13" appears three times on the page).

To rewrite using exponents, we would write one of the following:

(-13)^3

[tex](-13)^3[/tex]

I need help with this real quick please

Answers

First, using the Pythagorean theorem, we get the hypotenuse = 12.

sin = opposite/hypotenuse = [tex]\frac{6\sqrt{3} }{12} = \frac{\sqrt{3} }{2}[/tex]

cos = adjacent/hypotenuse = [tex]\frac{6}{12} =\frac{1}{2}[/tex]

tan = opposite/adjacent = [tex]\frac{6\sqrt{3} }{6} = \sqrt{3}[/tex]

csc = hypotenuse/opposite = [tex]\frac{12}{6\sqrt{3} } =\frac{2}{\sqrt{3} }[/tex]

sec = hypotenuse/adjacent = [tex]\frac{12}{6} =2[/tex]

cot = adjacent/opposite = [tex]\frac{6}{6\sqrt{3} } = \frac{1}{\sqrt{3} }[/tex]

Helppppppppppppppppp

Answers

Answer:
- point in org. Figure: (3,5)
- point in final figure: (-5,5)

Explanation:
Translate just means move across, since it said moves to the left we make that point x go across the x axis.

Refer to the diagram. 115° (2x + 5)° Write an equation that can be used to find the value of x. What is the value of x

Answers

If measure of two "vertically-opposite-angles" are 115° and (2x + 5)°, then the equation to find value of "x" is 115° = (2x + 5)°,and value of "x" is 55.

The Vertically opposite angles are defined as a pair of non-adjacent angles formed by the intersection of two lines. and if the two angles are vertically opposite then their measures are equal, so, to find the value of "x", we equate the measure of both the angles,

The measure of the two angles are 115° and (2x + 5)°,

So, on equating,

We get,

⇒ 115° = (2x + 5)°,

⇒ 110° = 2x,

⇒ x = 55,

Therefore, the value of x is 55.

Learn more about Angles here

https://brainly.com/question/30195817

#SPJ1

The given question is incomplete, the complete question is

The measure of the two vertically opposite angles are 115° and (2x + 5)°, Write an equation that can be used to find the value of x. What is the value of x?

Copy and complete the equation of line B below. y = — 84 NWPца - 0 7- 6+ 5- 4- 3- 2- 1/ -11 -2- -8-7-6-5-4-3-2-10 1 2 3 4 5 6 7 8 ܢܐ ܚ ܩ ܘ ܘ ܢ -3 -4- -5 -6 x +_ -7 -8- Line B 19​

Answers

The equation of the line passing through the given points is y = 3x-1.

Given that is a line passing through two points (0, 2) and (-1, -1) we need to find the equation of the line using them,

We know that the equation of a line passing through points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here (x₁, y₁) and (x₂, y₂) are (0, 2) and (-1, -1),

Therefore, the required equation is =

y+1 = -1-2/-1 (x-0)

y+1 = 3x

y = 3x-1

Hence, the equation of the line passing through the given points is y = 3x-1.

Learn more about equation of the line click

brainly.com/question/21511618

#SPJ1

A piece of wood, 7.2 m long, is to be cut into smaller pieces. EACH of these pieces should be 0.12 m in length. How many smaller pieces can be obtained?​

Answers

Answer:

To find the number of smaller pieces that can be obtained, we need to divide the total length of the wood by the length of each smaller piece:

Number of pieces = Total length ÷ Length of each piece

Number of pieces = 7.2 m ÷ 0.12 m

Number of pieces = 60

Therefore, 60 smaller pieces can be obtained from the 7.2 m long piece of wood.

Answer:

60

Step-by-step explanation:

To determine how many smaller pieces can be obtained from a 7.2 m long piece of wood, we need to divide the total length of the wood by the length of each smaller piece.

Total length of wood = 7.2 m

Length of each smaller piece = 0.12 m

Number of smaller pieces = Total length of wood / Length of each smaller piece

Number of smaller pieces = 7.2 m / 0.12 m

Number of smaller pieces = 60

Therefore, 60 smaller pieces can be obtained from a 7.2 m long piece of wood, with each smaller piece being 0.12 m in length.

PLS HELP! URGENT!!!! A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3. 14 for pi

Answers

The area of the sidewalk in square meters is 69π.

To find the area of the sidewalk, we need to subtract the area of the flower bed from the area of the outer circle formed by the sidewalk.

First, we need to find the area of the flower bed. We know that the diameter of the flower bed is 20 m, so the radius is half of that, which is 10 m. We can use the formula for the area of a circle, which is A = πr^2, where A is the area and r is the radius.

Area of flower bed = π(10m)^2 = 100π square meters

Next, we need to find the area of the outer circle formed by the sidewalk. Since the sidewalk is 3 m wide, the radius of the outer circle will be 10 + 3 = 13 m (10 m for the flower bed radius plus 3 m for the width of the sidewalk).

Area of outer circle = π(13m)^2 = 169π square meters

Finally, we can find the area of the sidewalk by subtracting the area of the flower bed from the area of the outer circle:

Area of sidewalk = Area of outer circle - Area of flower bed
Area of sidewalk = (169π) - (100π)
Area of sidewalk = 69π square meters

Therefore, the area of the sidewalk in square meters is 69π, or approximately 216.6 square meters (if we use 3.14 for π).

To learn more about area

https://brainly.com/question/30685461

#SPJ11

Why do you think that credit cards tend to be the entry point for establishing credit for so many consumers?

Answers

I believe credit cards tend to be the entry point for establishing credit for so many consumers because they provide an easy and accessible way for individuals to begin building their credit history. Credit card companies report to credit bureaus on a regular basis, which helps establish a credit score and credit history.

Additionally, credit cards offer a convenient way for individuals to make purchases and build their credit at the same time. However, it is important for individuals to use their credit cards responsibly and make timely payments in order to maintain good credit standing.

To know more about think refer here

https://brainly.com/question/3368793#

#SPJ11

HELP ME PLEASE I WILL GIVR BRAINLIEST TO THE FASTED CORRECT ANSWER PLEASE HELP ME FAST AND TY

Answers

Base is 3, height is 12. 3 x 12 is 36, and 36/3 is 12


Answer: 12

Two terms of a geometric sequence are a5=2500 and a8=312,500 Write an explicit rule for the nth term

Answers

Answer:

Step-by-step explanation:

You are ChatGPT, a large language model trained by OpenAI.

Knowledge cutoff: 2021-09

Current date: 2023-04-275-1)

2500 = a1 * r^4

a8 = a1 * r^(8-1)

312500 = a1 * r^7

We can divide the second equation by the first equation to eliminate a1:

312500 / 2500 = (a1 * r^7) / (a1 * r^4)

125 = r^3

Taking the cube root of both sides gives us:

r = 5

Now that we know the common ratio, we can use either of the two original equations to find the first term, a1. Using the first equation:

250

a population of maned wolves has 246 individuals and over a year 83 individuals were born and 42 died. what is the per capita birth rate for this population? enter the value below rounding your answer to the hundredths place. for example, in the number 12.345, 4 is located in the hudredths place.

Answers

The per capita birth rate of the given population of manned wolves 246 with number of birth as 83 is equals to 0.34  births per individual per year.

Number of births = 83

Initial population = 246

Time period = 1 year

Number of deaths = 42

The per capita birth rate is calculated as the number of births per individual in the population.

Typically expressed as a rate per unit time.

Per capita birth rate as follows,

Per capita birth rate

= (Number of births / Initial population) × (Time period / 1 year)

Substituting these values into the formula, we get,

Per capita birth rate

= (83 / 246) × (1 / 1)

= 0.3374

Rounding this to the hundredths place, we get,

Per capita birth rate = 0.34

Therefore, the per capita birth rate for this population of maned wolves is 0.34 births per individual per year.

learn more about population here

brainly.com/question/20119781

#SPJ4

Kristin made a scatter plot to represent the relationship between the temperature and the number of bottles of water sold at her concession stand at a soccer tournament. Which is a description of the location of the point Kristin will add to represent the 13 bottles of water that were sold when the temperature was 39 degrees Fahrenheit? Select one:
O Top left of the scatter plot
OBottom right of the scatter plot
O Top right of the scatter plot
OBottom left of the scatter plotâ

Answers

The location of the point Kristin will add to represent the 13 bottles of water sold at 39 degrees Fahrenheit is the bottom left of the scatter plot.

A scatter plot represents the relationship between two variables. In this case, the temperature (independent variable) is plotted along the x-axis, while the number of bottles of water sold (dependent variable) is plotted along the y-axis. As the temperature increases, it is expected that more bottles of water would be sold.

The bottom left area of the scatter plot is where lower values of both temperature and the number of bottles sold would be found. Since 39 degrees Fahrenheit is relatively low and 13 bottles of water is a lower quantity, the point representing this data will be in the bottom left quadrant of the scatter plot.

To know more about scatter plot click on below link:

https://brainly.com/question/13984412#

#SPJ11

Complete question:

Kristin made a scatter plot to represent the relationship between the temperature and the number of bottles of water sold at her concession stand at a soccer tournament. Which is a description of the location of the point Kristin will add to represent the 13 bottles of water that were sold when the temperature was 39 degrees Fahrenheit? Select one:

O  Top left of the scatter plot

O  Bottom right of the scatter plot

O  Top right of the scatter plot

O  Bottom left of the scatter plotâ

Find the mean absolute deviation (MAD) of the data in the pictograph below. Baskets
The key says one basketball picture equals two baskets. The key says one basketball picture equals two baskets. A picture graph labeled Baskets each student made. The vertical axis is labeled Baskets made. The horizontal axis is labeled Student. The names from left to right on the horizontal axis are Reynaldo, Marcelle, Allie, and Fernando. There are two basketball pictures above Reynaldo. There are four basketball pictures above Marcelle. There are three basketball pictures above Allie. There are five basketball pictures above Fernando

Answers

The mean absolute deviation (MAD) of the data in the pictograph is equals to the one basketball.

We have a data in the pictograph. In mathematics, a pictograph is a pictorial representation of data using images, icons. It is also known as a pictogram. We have a pictograph, in which the vertical axis is labeled Baskets made and the horizontal axis is labeled Student. Here, one basketball picture equals two baskets. Mean absolute deviation (MAD) is a statistical measure of the average absolute distance between each data value and the mean of a data set. It is a parameter or statistic that measures the spread, or variation, in data.

Mean is defined as the sum of data values divided by number of values.

Sum of data values = 4 + 4×2 + 3×2 + 5×2

= 28

So, mean = 28/4 = 7

Now, | 4 - 7| + |8 - 7| + |6 -7 | + | 10 - 7|

= 3 + 1 + 1 + 3 = 8

So,, mean absolute deviation (MAD) of the data = 8/7 = 1.1 ~ 1. Hence, required value is 1.

For more information about mean absolute deviations, visit :

https://brainly.com/question/26462759

#SPJ4

Complete question :

Find the mean absolute deviation (MAD) of the data in the pictograph below. Baskets

The key says one basketball picture equals two baskets. The key says one basketball picture equals two baskets. A picture graph labeled Baskets each student made. The vertical axis is labeled Baskets made. The horizontal axis is labeled Student. The names from left to right on the horizontal axis are Reynaldo, Marcelle, Allie, and Fernando. There are two basketball pictures above Reynaldo. There are four basketball pictures above Marcelle. There are three basketball pictures above Allie. There are five basketball pictures above Fernando

if you increase your reading speed so that each page takes you 30 seconds less than it did before, and you begin reading 20 minutes per day, how many 200 page books can you now read in a year

Answers

We can read 91 books in a year if you increase your reading speed so that each page takes you 30 seconds less than it did before.

How is the number of books calculated?

Now If each page now takes 30 seconds less to read than before,

then you will save 30*200 = 6000 seconds (or 100 minutes) on each book.

So, the time it will take you to read a 200-page book will be

20 minutes - 100 minutes = -80 minutes,

which means you will finish a 200-page book in 80 minutes (or 1 hour and 20 minutes).

In a year, there are 365 days. If you read for 20 minutes per day, then you will read for a total of

365 * 20 = 7300 minutes (or 121.67 hours) in a year.

Since you can finish a 200-page book in 80 minutes, you can read 7300/80 = 91.25 books in a year.

However, since you cannot read a fraction of a book, the maximum number of 200-page books you can read in a year is 91 books.

To know more about fraction visit:

brainly.com/question/10354322

#SPJ1

Complete question is :

If you increase your reading speed so that each page takes you 30 seconds less than it did before,

and you begin reading 20 minutes per day,

How many 200 page books can you now read in a year?

find the next two terms in sequence?

Answers

Answer:

83 and 99 The sequence is going in +16 so the answer is 83 and 99 sorry if I am a bad explainer I’m new to this app :(

Step-by-step explanation:

Find the work done by the force field F(x,y) = x^2i – ryj in moving a particle along the F semicircle y = Sqrt(4 – x^2) from P(2,0) to Q(-2,0) and then back along the line segment from Q to P.

Answers

The work done by the force field F along the semicircle and the line segment is 32/3.

The work done by a force field F along a curve C from point A to point B is given by the line integral:

W = ∫ F dot dr

where dot represents the dot product and dr is the differential displacement vector along the curve C.

Let's divide the curve C into two parts: the semicircle from P to Q, denoted by C1, and the line segment from Q to P, denoted by C2.

For C1, the curve can be parameterized as x = 2cos(t) and y = 2sin(t) for t in [0, pi]. The differential displacement vector is then given by:

dr = (-2sin(t) dt)i + (2cos(t) dt)j

The force field F(x,y) = x^2i - ryj, so we have:

F(x,y) = (2cos^2(t))i - (2rsin(t))j

The dot product F dot dr is then:

F dot dr = (2cos^2(t))(-2sin(t) dt) + (2rsin(t))(2cos(t) dt)

= -4cos^2(t)sin(t) dt + 4rcos(t)sin(t) dt

= 4sin(t)cos(t)(r - cos(t)) dt

Therefore, the work done along C1 is:

W1 = ∫ C1 F dot dr

= ∫[0, pi] 4sin(t)cos(t)(r - cos(t)) dt

This integral can be evaluated using the substitution u = cos(t), du = -sin(t) dt:

W1 = -∫[1, -1] 4u(r - u) du

= 4r∫[1, -1] u du - 4∫[1, -1] u^2 du

= 0

Hence, the work done along C1 is 0.

For C2, the curve is simply the line segment from Q(-2,0) to P(2,0), which is parallel to the x-axis. Therefore, the differential displacement vector is given by:

dr = dx i

where i is the unit vector in the x-direction. The force field is the same as before, F(x,y) = x^2i - ryj. Along C2, y = 0, so the force field reduces to:

F(x,y) = x^2i

The dot product F dot dr is then:

F dot dr = x^2 dx

Therefore, the work done along C2 is:

W2 = ∫ C2 F dot dr

= ∫[-2, 2] x^2 dx

= 32/3

Hence, the work done along C2 is 32/3.

The total work done along the curve C is the sum of the work done along C1 and C2:

W = W1 + W2 = 0 + 32/3 = 32/3

Therefore, the work done by the force field F along the semicircle and the line segment is 32/3.

To learn more about dot product visit: https://brainly.com/question/29097076

#SPJ11

Learn with an example
or
Watc
4) Graph this line using intercepts:
3x + y = -6

Answers

Answer:

Step-by-step explanation:

3x+y = -6

y=-3x-6

The Y-intercept is -6, therefore there is one point (0,-6)

Now go 3 down and one right, so there is your second point (1,-9)

What would cause a discontinuity on a rational function (a polynomial divided by another polynomial)?

Answers

The function has a horizontal asymptote at y = 3. Other types of discontinuities can also occur in rational functions

What are polynomials ?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

A rational function can have a discontinuity at any point where the denominator of the function becomes zero since division by zero is undefined. These points are called "vertical asymptotes."

For example, consider the rational function f(x) = (x² - 1) / (x - 1). The denominator becomes zero when x = 1, which causes a vertical asymptote at x = 1. At x = 1, the function approaches positive infinity from the left-hand side and negative infinity from the right-hand side. This creates a "hole" or a "removable discontinuity" in the graph of the function.

Another type of discontinuity that can occur in a rational function is a "horizontal asymptote." This occurs when the degree of the numerator is less than the degree of the denominator. In this case, the function approaches a horizontal line (the horizontal asymptote) as x approaches infinity or negative infinity.

For example, consider the rational function f(x) = (3x² - 2x + 1) / (x² + 1). As x approaches infinity or negative infinity, the function approaches the horizontal line y = 3.

Therefore, the function has a horizontal asymptote at y = 3.

Other types of discontinuities can also occur in rational functions, such as "slant asymptotes" or "oscillating behavior," but these are less common and typically require more advanced techniques to identify.

To learn more about Polynomials at

https://brainly.com/question/29073508

#SPJ1

A family spends $550 every month on food. if the family's income is $2,200 each month, what percent of the income is spent on food?

Answers

The percentage of the family's income that is spent on food is 25%.

Firstly, noting down the family's monthly spend on food ($550) and their total monthly income ($2,200).

Next, dividing the amount spent on food by the total income to find the ratio of the spend to income: $550 / $2,200.

Now, calculating this division: 550 ÷ 2,200 = 0.25.

Finally, finding the percentage, multiply the ratio (0.25) by 100: 0.25 x 100 = 25%.

So, the family spends 25% of their monthly income on food.

To learn more about percentage:

#SPJ11

Other Questions
a. Use the graph to approximate the value of the car after 4 years.b. Use the graph to approximate the value of the car after 5 years.c. Use the graph to approximate when the car will be worth half its original value. (Determine the number of years.) Please write down the dimensions of cultural consequences of Hofstede and analyze them from the organizational hierarchical perspectives.Max.500 words will be considered with your own sentences. No cited references as well Work smarter, not harder by Trevor Jackson Part B select one sentence from the passage that supports the answer in part A. A "It was strung between two branches of an enormous tree, its limbs heavy with a scary-looking red fruit, like giant cherries"B. " a job of collecting and sorting eggs as big as an ostrichs forced her to use some math skills she didnt know would ever come in handy. " C. " Each job was a combination of physical activity and some creative thinking" D. "Kari dusted herself off and headed back to the big chores board; she would get home one way or another. " Whats the answer? I need help two decimal places. A discounted loan of R4 670,00 at a simple discount rate of 14% per year is offered to Mr Mothapo. The actual amount of money that Mr Mothapo receives is R3 852,75. This is represented by the following timeline: R3 852,75 ? months 14% simple discount R4670,00 The amount of R4 670,00 is due to be paid back after write a BASIC program that will calculate the square root of all numbers from 20 to 64 While "The Fracking Fight" suggests that fracking causes methane gas to escape into the air, "The Fracas Over Fracking" claims that What is the new boiling point of 35 grams of CaS dissolved in 1. 25 kg if H2O? Ben earns $12. 50 per hour and $6 for each delivery he makes. He wants to earn $168 in an 8-hour workday. Part A) Which equation could you use to solve for the least number of deliveries he must make to reach his goal? Part B) What is the least number of deliveries he must make to reach his goal? Which statement is true about a polyatomic ion? it forms metallic bonds with other ions. It forms covalent bonds with other ions. It is made of atoms that are covalently bonded together. It has a charge that is distributed over only part of the ion. Please help confused thank you Please help!!!!!!!!!!!! What is the slope of the line that passes through the points (9, 1) and (10, -1)?Write your answer in simplest form. calculate the volume of 0.150 m hydrochloric acid required to completely neutralize 25.0 ml of 0.250 m iron (iii) hydroxide. What was the activity? jumping jackshow long did you spend doing your activity? 1 minutehow much of the activity did you complete in the time period? (example: i did 24 sit-ups in one minute). 63which of these variables is your dependent variable? which one is the independent variable? write a sentence that describes the relationship between the dependent variable and the independent variable. (hint: ratio language can help.)time(minutes) 0 01 63 2 126 3 1894 252if you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete? 753how long would it take you to reach 100 for the number of times you did your activity? one minute and a half.only needs these questions answered 1. which of these variables is your dependent variable? 2. which one is the independent variable? 3. write a sentence that describes the relationship between the dependent variable and the independent variable. (hint: ratio language can help.) Carolina wants to save $900 to go to Puerto Rico. She saves $45 each week. Herbrother gives her $180. Which equation determines how many weeks she mustsave. What mass of KNO3 is needed to create a saturated solution at 60 C in 240. 0 mL of distilledwater? If you could draw a number line that shows the relationship between tons and pounds what would it look like complete the explanation since one ton is 2000 pounds one the number line would show tick marks for every whole number from 0 to [blank].each tick mark from 0 to [blank] would represent [blank]pound(s). the tick mark at the end would represent [blank] ton(s). A 1500. 0 gram piece of wood with a specific heat capacity of 1. 8 g/JxC absorbs 67,500 Joules of heat. If the final temperature of the wood is 57C, what is the initial temperature of the wood? Jake wants to prove the theorem that says that the measure of the quadrilateral's opposite angles add to 180