If I lose 20 cents an hour, and I make 10. 50 an hour. How much money do I lose every 10 dollars?


This is the simplest way I could figure out how to put it, sorry

Answers

Answer 1

You lose 515 dollars every time you lose 10 dollars.

Now that we know it takes 50 hours to lose 10 dollars, we can calculate how much money you lose every 10 dollars by

the hourly rate of 10.50 dollars by 50 hours and subtracting that amount from 10 dollars:

Money lost = (10.50 dollars/hour) x 50 hours - 10 dollars

Money lost = 525 dollars - 10 dollars

Money lost = 515 dollars

Therefore, you lose 515 dollars every time you lose 10 dollars.

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Related Questions

Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and
z are positive.
Maximize: f(x, y, z) = xyz
Constraint: × + y + z - 9 = 0

Answers

To use Lagrange multipliers, we need to define the Lagrangian function:

L(x, y, z, λ) = xyz + λ(x + y + z - 9)

Now, we need to find the partial derivatives of L with respect to x, y, z, and λ and set them equal to 0:

∂L/∂x = yz + λ = 0
∂L/∂y = xz + λ = 0
∂L/∂z = xy + λ = 0
∂L/∂λ = x + y + z - 9 = 0

From the first three equations, we can see that:

yz = -λ
xz = -λ
xy = -λ

Multiplying these equations together, we get:

(xyz)^2 = (-λ)^3

Substituting λ = -yz into the fourth equation, we get:

x + y + z - 9 = 0

Substituting λ = -yz into the first equation and solving for x, we get:

x = -λ/yz = (yz)^2/(-yz) = -y^2z^2

Similarly, we can solve for y and z:

y = -x^2z^2
z = -x^2y^2

Substituting these expressions into the constraint equation, we get:

(-y^2z^2) + (-x^2z^2) + (-x^2y^2) - 9 = 0

Simplifying and solving for xyz, we get:

xyz = sqrt(9/(x^2 + y^2 + z^2))

To maximize xyz, we need to minimize x^2 + y^2 + z^2. Therefore, we can set:

x^2 + y^2 + z^2 = 3

Substituting this into the expressions for x, y, and z, we get:

x = -y^2z^2
y = -x^2z^2
z = -x^2y^2

Substituting these expressions into xyz, we get:

xyz = sqrt(9/3) = 3

Therefore, the maximum value of f(x, y, z) = xyz subject to the constraint x + y + z - 9 = 0 is 3.
To solve this problem using Lagrange multipliers, we first set up the Lagrangian function L(x, y, z, λ) with the constraint function g(x, y, z) = x + y + z - 9.

L(x, y, z, λ) = f(x, y, z) - λ(g(x, y, z))

L(x, y, z, λ) = xyz - λ(x + y + z - 9)

Now we take the partial derivatives with respect to x, y, z, and λ, and set them equal to 0:

∂L/∂x = yz - λ = 0
∂L/∂y = xz - λ = 0
∂L/∂z = xy - λ = 0
∂L/∂λ = x + y + z - 9 = 0 (the constraint)

From the first three equations, we get:

yz = xz = xy

Since x, y, and z are positive, we can divide the first two equations:

y/z = x/z => y = x
x/z = y/z => x = y

So x = y = z. Now we can use the constraint equation:

x + x + x - 9 = 0 => 3x = 9 => x = 3

Thus, x = y = z = 3. Now we can find the maximum value of f(x, y, z):

f(3, 3, 3) = 3 * 3 * 3 = 27

So the maximum value of f(x, y, z) = xyz subject to the constraint x + y + z - 9 = 0 is 27, and this occurs at the point (3, 3, 3).

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To answer questions 4 - 6.

A new school opened with 225 students in 2021 and plans to increase by 13. 3% per year

until they reach full capacity.

Is this situation exponential growth or decay?

4.

5.

Write an equation that models the population of the school, P, after x years since

the opening of the school in 2021

Answers

The situation provided is exponential growth and the equation is

p = 225 * 1.133ˣ

How to determine the situation

This scenario represents a significant improvement as the number of students increases each year.

The basic approach to incremental growth is:

[tex]P = P_{0} * (1 + r)^t[/tex]

where:

P. = initial population

r = increase in decimal form

t = time in years

Here

P₀ = 225 (initial population in 2021).

r = 13.3% = 0.133 (growth rate as decimal) .

t = x (time in years from the opening of the school in 2021)

Substituting these values ​​in the formula we get:

[tex]p = 225 * (1 + 0.133)^x[/tex]

Simplifying further, we get:

p = 225 * 1.133ˣ

This is the equation that predicts school population x years after the school opens in 2021

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3 cans have the same mass as 9 identical boxes. Each can has a mass of 30 grams. What is the mass, in grams, of each box?

Answers

Each box has a mass of 90 grams, which is found by setting up a proportion using the ratio of cans to boxes and the known mass of each can.

To solve this problem, we need to use proportions. We know that 3 cans have the same mass as 9 identical boxes, which means that the ratio of cans to boxes is 3:9 or simplified to 1:3.

We also know that each can has a mass of 30 grams. Therefore, we can set up the proportion:

1 can / 30 grams = 1 box / x grams

where x is the mass, in grams, of each box.

To solve for x, we can cross-multiply:

1 can * x grams = 30 grams * 1 box

x grams = 30 grams / 1 can * 1 box

Since the ratio of cans to boxes is 1:3, we can substitute 3 for the number of boxes:

x grams = 30 grams / 1 can * 3 boxes

x grams = 90 grams

Therefore, the mass of each box is 90 grams.


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Astronaut Harry Skyes has a mass of approximately 85. 0 kg. What is his weight on Mercury?
Mercury's gravity = 3. 70 m/s^2​

Answers

The weight of Harry Skyes on Mercury is 32.8 kg, under the condition that Mercury's gravity = 3. 70 m/s².


The weight of astronaut Harry Skyes on Mercury can be evaluated using the formula:

Weight on Mercury = (Weight on Earth / 9.81 m/s²) × 3.7 m/s²

Given that Harry Skyes has a mass of approximately 85.0 kg, his weight on Mercury would be:

Weight on Mercury = (85.0 kg / 9.81 m/s²) × 3.7 m/s²

Weight on Mercury = 32.8 kg

Gravity affects weight severely and causes its change . Objects have mass, which is specified as how much matter an object contains. Weight is known as the pull of gravity on mass. The relation between weight and gravitational pull is such that, when on another celestial body, the difference in gravity would alter a person’s weight.

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Circle 1 is centered at (-3,5) and has a radius of 10 units circle 2 is centered at (7,5) and has a radius of 4 units. What transformations can be applied to circle 1 to prove that the circles are similar?

Answers

This will result in Circle 1 having the same center and radius as Circle 2, thus proving that the circles are similar.

To prove that Circle 1 and Circle 2 are similar, we can apply the following transformations to Circle 1:

1. Translation: Translate Circle 1 by moving its center from (-3, 5) to (7, 5). This is a horizontal translation of 10 units to the right.

2. Dilation: Dilate Circle 1 with a scale factor of 0.4, which will reduce its radius from 10 units to 4 units (the same as Circle 2).

These transformations will result in Circle 1 having the same center and radius as Circle 2, thus proving that the circles are similar.

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Suppose a particle moves along a continuous function such that its position is given by f(t)=1/7 t^3-4t-12 where f is the position at time t, then determines the value of r such that f(r)=0.

Answers

When we look at [tex]f(t)=1/7 t^3-4t-12[/tex], this is a cubic equation, and solving it analytically is not straightforward.

How to solve

To find the value of r such that f(r) = 0, we need to solve the equation:

[tex]1/7 r^3 - 4r - 12 = 0[/tex]

This is a cubic equation, and solving it analytically is not straightforward.

Yet, it is possible to obtain the value of r that meets the equation using numerical schemes such as Newton-Raphson or bisection. Additionally, one can take advantage of calculation tools and graphical software to calculate an estimation of r.

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Use the rational expression below to match the variables on the left with their excluded value(s) on the right.

Answers

The value of b = 4

How to solve

The function becomes undefined when the denominator goes to 0

3x² - 48 = 0

3x² = 48

x² = 16

x = +/ 4

From the given choices, it's x = 4

Rational expressions that utilize ratios of polynomial expressions are referred to as rational expressions. These can be written in the format p(x)/q(x), where both p(x) and q(x) are polynomials with the constraint that q(x) cannot equal zero.

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Caleb has
coins (nickels, dimes, and quarters) in a jar, totaling. He has three more nickels than dimes. How many quarters does Caleb have?

Answers

Caleb has 30 quarters.

What is arithmetic?

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Here, we have

Given: Caleb has 51 coins (nickels, dimes, and quarters) in a jar, totaling $9. He has three more nickels than dimes.

We have to find out how many quarters Caleb has.

Let x be nickel,

y be dimes and

z be quarters

x + y + z = 51.....(1)

1 quartes = 25 cents

1 dimes = 10 cents

1 nickel = 5 cents

Now, the total dollar is $9,

5x/100 + 10y/100 + 25z/100 = 9

5x + 10y + 25z = 900

x + 2y + 5z = 180....(2)

and

y + 3 = x...(3)

Solving equation(1) and (2), we get

From (1)

x + x-3 + z = 51

2x + z = 54....(4)

From (2)

x + 2(x -3) + 5z = 180

3x + 5z = 186...(5)

Now, by solving equations (4) and (5), we get

x = 12

z = 30

Now,

y + 3 = x

y + 3 = 12

y = 9

Hence, Caleb has 30 quarters.

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Verify that MQ:QN = 2:3 by finding the lengths of MQ and QN

Answers

The length of MQ and QN is 10 and 15 respectively and verify that MQ: QN = 2:3

The coordinate of M = (-12,-5)

The coordinate of N = (8,10)

n = 2 , m = 3

By using the section formula coordinate of Q =( [tex]\frac{mx_{1} + nx_{2} }{m+n }[/tex] , [tex]\frac{my_{1} + ny_{2} }{m+n}[/tex])

Coordinate of Q = ([tex]\frac{(-12)3 + 8(2)}{3+2}[/tex] , [tex]\frac{10(2) + 3(-5)}{2+3}[/tex])

Coordinate of Q = ( -4, 1)

Now using the distance formula

MQ = [tex]\sqrt{ (x_{2}- x_{1} )^{2} +(y_{2} -y_{1} )^{2}[/tex]

MQ = [tex]\sqrt{(-4+12)^{2}+(1+5)^{2} }[/tex]

MQ = √100

MQ = 10

Similarly,

QN = [tex]\sqrt{(8+4)^{2}+(10-1)^{2} }[/tex]

QN =  [tex]\sqrt{225}[/tex]

QN = 15

MQ:QN = 10:15

MA :QN = 2:3

Hence it is verified that MQ: QN = 2:3

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There is 1. 75 liter of water in a rectangular container. The base of the container is square on the side 12 cm and its height is 16. 5 cm. How much more water is needed to fill the container to its brim? Give your answer in liter

Answers

0.626 liters of water is needed to fill the container to its brim.

The volume of the rectangular container can be found by multiplying the area of the base (length x width) by the height:

Volume of rectangular container = length x width x height

Since the base is a square with a side of 12 cm, the area of the base is:

Area of base = 12 cm x 12 cm = 144 cm^2

Converting the height to cm, we have:

Height = 16.5 cm

So the volume of the container is:

Volume = 144 cm^2 x 16.5 cm = 2376 cm^3

To convert the volume from cubic centimeters to liters, we divide by 1000:

Volume = 2376 cm^3 ÷ 1000 = 2.376 liters

Since there is already 1.75 liters of water in the container, the amount of water needed to fill the container to its brim is:

Amount of water needed = 2.376 liters - 1.75 liters = 0.626 liters

Therefore, 0.626 liters of water is needed to fill the container to its brim.

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2. If Q(-5, 1) is the midpoint of PR and R is located
at (-2.-4), what are the coordinates of P?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad R(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 +x}{2}~~~ ,~~~ \cfrac{ -4 +y}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE Q} }{(-5~~,~~1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ -2 +x }{2}=-5\implies -2+x=-10\implies \boxed{x=-8} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ -4 +y }{2}=1\implies -4+y=2\implies \boxed{y=6}[/tex]

Answer:

The answer is (-8,6)

Do the data in each table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
Do the data in each table represent a direct variation or an inverse variation?
Direct variation
Inverse variation
Write an equation to model the data in the table.
(Simplify your answer. Type an equation. Use integers or fractions for any numbers in the equation)
x
2
6
10
y
0.4
1.2
2

Answers

The equation that models the data in the table is y = 0.2x.

What is meant by equation?

An equation is a mathematical statement that uses symbols to show that two expressions are equal. It typically contains variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division.

What is meant by table?

A table is a set of data arranged in rows and columns, typically used to organize and present information in a structured and easy-to-read format. Tables can be used to store and display various types of data.

According to the given information

To write an equation to model the data, we can use the formula for direct variation:

y = kx

where k is the constant of variation.

To find k, we can use any of the pairs of values in the table. Let's use the first pair:

y = 0.4, x = 2

0.4 = k * 2

k = 0.2

Now that we have k, we can write the equation:

y = 0.2x

Therefore, the equation that models the data in the table is y = 0.2x.

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Probability & Sampling:Question 1


Stephanie recorded the time, in minutes, she took to walk


from home to work.


{15, 16, 18, 20, 21)


She also recorded the time, in minutes, she took to walk


from work to home.


(14, 21, 21, 25, 27)


Based on the data she collected, what is the best


conclusion Stephanie can make?

Answers

"Based on the data Stephanie collected, the best conclusion she can make is that her commute time varies between walking from home to work and walking from work to home."

Stephanie recorded the time it took for her to walk from home to work and from work to home. The recorded times for walking from home to work are 15, 16, 18, 20, and 21 minutes. The recorded times for walking from work to home are 14, 21, 21, 25, and 27 minutes.

From the given data, we can see that Stephanie's commute time is not consistent. The time it takes for her to walk from home to work varies between 15 and 21 minutes, and the time it takes for her to walk from work to home varies between 14 and 27 minutes. There is no clear pattern or trend in the data.

Therefore, the best conclusion Stephanie can make is that her commute time fluctuates, and it is not fixed or predictable. The specific duration of her commute can vary from day to day.

In conclusion, Stephanie's commute time varies between walking from home to work and walking from work to home, as indicated by the range of recorded times for each direction.

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The length of a rectangle is 4/3 its width and it's area is 8 1/3 square meters. What are it's dimensions?. Write your answers as mixed numbers

Answers

The dimensions of the given rectangle is 2 1/2 meters (width) and 3 1/3 meters (length).

First, let's define the variables for the rectangle: let the width be w meters, and the length be (4/3)w meters since the length is 4/3 times the width. The area of a rectangle is calculated by multiplying its length and width. In this case, the given area is 8 1/3 square meters.

Now, we can write an equation using the area and dimensions:

Area = Length × Width
8 1/3 = (4/3)w × w

First, convert the mixed number 8 1/3 to an improper fraction, which is 25/3. Then, we can solve for w:

25/3 = (4/3)w²

To find w², multiply both sides by 3/4:

w² = (25/3) × (3/4)
w² = 25/4

Now, take the square root of both sides:

w = √(25/4)
w = 5/2

So, the width is 5/2 meters, or 2 1/2 meters. To find the length, multiply the width by 4/3:

Length = (4/3)(5/2) = 20/6 = 10/3

The length is 10/3 meters, or 3 1/3 meters. Therefore, the dimensions of the rectangle are 2 1/2 meters (width) and 3 1/3 meters (length).

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Can someone help me asap? It’s due today!! Show work! I will give brainliest if it’s correct and has work

Answers

Answer:

10 outcomes

Step-by-step explanation:

if 2 coins were selected with replacement=10×10=100

number of outcomes if 2 coins were selected without replacement=10×9=90

Finally, 100-90= 10 outcomes!

What is the probability of rolling an even number and then an odd number when rollling two number cubes what is the number of desired outcomes

Answers

The probability of rolling an even number and then an odd number is 1/4.

Calculating the probability values

The probability of rolling an even number on a fair number cube is 1/2, since there are three even numbers (2, 4, 6) and six possible outcomes (1, 2, 3, 4, 5, 6).

Similarly, the probability of rolling an odd number is also 1/2.

To find the probability of rolling an even number and then an odd number, we need to multiply the probabilities of each event. So:

P(even and odd) = P(even) × P(odd)

P(even and odd) = (1/2) × (1/2)

P(even and odd) = 1/4

So the probability of rolling an even number and then an odd number is 1/4.

The number of desired outcomes for rolling an even number and then an odd number is 9

Since there are three even numbers and three odd numbers, and therefore 3 × 3 = 9 possible outcomes.

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Verify that the two planes are parallel, and find the distance between the planes. (Round your answer to three decimal places.)
2X - 42 = 4
2x - 4z = 10

Answers

the distance between the two planes is |x - 19|. Since we don't have any information about the value of x, we cannot compute the exact distance. We can only give the answer in terms of |x - 19|, rounded to three decimal places.

To verify that the two planes are parallel, we need to check if their normal vectors are parallel. The normal vector of the first plane is <2, 0, 0> and the normal vector of the second plane is <2, 0, -4>. We can see that these vectors are parallel because they have the same direction but different magnitudes. Therefore, the two planes are parallel.

To find the distance between the planes, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the variables x, y, and z in the equation of one of the planes, and d is the constant term.

Let's use the first plane: 2x - 42 = 4

We can rewrite this as 2x - 38 = 0, which means that a = 2, b = 0, c = 0, and d = -38.

Substituting these values into the formula, we get:

distance = |2x + 0y + 0z - 38| / √(2² + 0² + 0²)
distance = |2x - 38| / 2
distance = |x - 19|

Therefore, the distance between the two planes is |x - 19|. Since we don't have any information about the value of x, we cannot compute the exact distance. We can only give the answer in terms of |x - 19|, rounded to three decimal places.

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A real-world problem with a sample and a population is modeled by the proportion 66/100 = x/2,500
. Use the proportion to complete the sentences

Answers

The real-world problem is modeled by the proportion 66/100 = x/2,500, where 66 is the sample proportion and 2,500 represents the population size.

To find the value of x, which represents the number of individuals with a specific characteristic in the population, follow these steps:

1. Cross-multiply the terms in the proportion:
  66 * 2,500 = 100 * x
2. Simplify the equation:
  165,000 = 100x
3. Divide both sides by 100 to isolate x:
  x = 1,650

Thus, 1,650 individuals in the population share the specific characteristic represented by the sample proportion. This proportion helps us understand and predict the prevalence of a certain characteristic or behavior within a larger population, based on the information gathered from a smaller sample.

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The rate of change dp/dt of the number of bears on an island is modeled by a logistic differential equation. The maximum capacity of the island is 555 bears. At 6 AM, the number of bears on the island is 165 and is increasing at a rate of 29 bears per day. Write a differential equation to describe the situation.

Answers

The differential equation that describes the situation is: dp/dt = 41.43 * p * (1 - p/555).

The logistic differential equation is a commonly used model for population growth or decay, taking into account the carrying capacity of the environment. It is given by:

dp/dt = r * p * (1 - p/K)

where p is the population, t is time, r is the growth rate, and K is the carrying capacity.

In this case, the maximum capacity of the island is 555 bears, so we have K = 555. At 6 AM, the number of bears on the island is 165 and is increasing at a rate of 29 bears per day, so we have:

p(0) = 165 and dp/dt(0) = 29

To write the differential equation that describes this situation, we can use the initial conditions and the logistic model:

dp/dt = r * p * (1 - p/555)

Substituting the initial conditions, we get:

29 = r * 165 * (1 - 165/555)

Simplifying this expression, we get:

29 = r * 0.7

r = 41.43

Therefore, the differential equation that describes the situation is:

dp/dt = 41.43 * p * (1 - p/555)

Note that this model assumes that the growth rate of the bear population is proportional to the number of bears present and that the carrying capacity is fixed. Real-life situations may involve more complex models with time-varying carrying capacities or other factors affecting population growth.

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8. [-/14 Points] DETAILS SCALCET9 7.7.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the approximations To Mn, and S, for n = 6 and 12. Then compute the corresponding errors E.Em, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) dx n T M, S, 6 12 n Ет EM ES 6 12 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and Em are decreased by a factor of about , and Es is decreased by a factor of about Need Help? Read It Watch It

Answers

To approximate the values for Mₙ and S for n = 6 and 12, we'll use the trapezoidal rule (T), midpoint rule (M), and Simpson's rule (S). After calculating these approximations, we'll compute the errors Eₜ, Eₘ, and Eₛ.

For n = 6:
T₆ = (Approximation using trapezoidal rule)
M₆ = (Approximation using midpoint rule)
S₆ = (Approximation using Simpson's rule)

For n = 12:
T₁₂ = (Approximation using trapezoidal rule)
M₁₂ = (Approximation using midpoint rule)
S₁₂ = (Approximation using Simpson's rule)

Errors for n = 6:
Eₜ₆ = |Actual value - T₆|
Eₘ₆ = |Actual value - M₆|
Eₛ₆ = |Actual value - S₆|

Errors for n = 12:
Eₜ₁₂ = |Actual value - T₁₂|
Eₘ₁₂ = |Actual value - M₁₂|
Eₛ₁₂ = |Actual value - S₁₂|

As n is doubled (from 6 to 12), observe the changes in the errors:
- Eₜ and Eₘ typically decrease by a factor of about 4 (since error is proportional to 1/n² for these methods)
- Eₛ typically decreases by a factor of about 16 (since error is proportional to 1/n⁴ for Simpson's rule)

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Ive been stuck on this one question for a while can someone teach me how to do this?

Answers

The value of x is 6 and the perimeter is 52 unints

Calculating the value of x and the perimeter

From the question, we have the following parameters that can be used in our computation:

The figure

If the lines that appear to be tangent are tangent, then we have the following equation

x + 2 = 8

Evaluate the like terms

x = 6

The perimeter is the sum of the side lengths

So, we have

Perimeter = x + 2 + 8 + 5 + 5 + 9 + 9 + 4 + 4

This gives

Perimeter = 6 + 2 + 8 + 5 + 5 + 9 + 9 + 4 + 4

Evaluate

Perimeter = 52

Hence, the perimeter is 52 unints

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(1 point) Write an equivalent integral with the order of integration reversed IMP3 F(x,y) dyd. = Lo g(x) F(x, y) dedy f(y) a = be f(y) = 9(y) =

Answers

the equivalent integral with the order of integration reversed is: ∫0^1 ∫1^2 log(x) 9(y) dydx = (9/2) (2log(2) - 1)

To write an equivalent integral with the order of integration reversed, we need to integrate first with respect to y and then with respect to x. So, we have:

∫a^b ∫f(y)g(x) F(x,y) dxdy

Reversing the order of integration, we get:

∫f(y)g(x) ∫a^b F(x,y) dydx

Now, substituting the given values for f(y), g(x), and F(x,y), we get:

∫0^1 ∫1^2 log(x) 9(y) dydx

= ∫0^1 [9(y)∫1^2 log(x) dx] dy

= ∫0^1 [9(y) (xlog(x) - x) from x=1 to x=2] dy

= ∫0^1 [9(y) (2log(2) - 2 - log(1) + 1)] dy

= ∫0^1 [9(y) (2log(2) - 1)] dy

= (9/2) [(2log(2) - 1) y] from y=0 to y=1

= (9/2) (2log(2) - 1)

Therefore, the equivalent integral with the order of integration reversed is:

∫0^1 ∫1^2 log(x) 9(y) dydx = (9/2) (2log(2) - 1)

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Ann lives on the shoreline of a large lake. A market is located 20 km south and 21 km west of her home on the other side of the lake. If she takes a boat across the lake directly


toward the market, how far is her home from the market in km?

Answers

If Ann takes a boat then the distance between Ann's home and the market across the lake is approximately 29 km.

To find the distance from Ann's home to the market, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this case, Ann's home, the market, and the point where she crosses the lake form a right triangle, with the distance she travels across the lake being the hypotenuse.

To calculate the distance, we can use the following formula:

c^2=a^2+b^2

where c is the distance from Ann's home to the market, a is the distance from her home to the point where she crosses the lake, and b is the distance from the market to the point where she crosses the lake.

We know that a = 20 km and b = 21 km, so we can plug these values into the equation:

c^2=20^2+21^2

c^2=400+441

c^2=841

To solve for c, we take the square root of both sides of the equation:

c=sqrt(841)

c=29

Therefore, the distance from Ann's home to the market is approximately 29 km, when she takes the shortest path across the lake directly toward the market.

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This year, a French restaurant used 377,020 ounces of cream. That is 50% less than last year, when the restaurant had a different menu. How much cream did the restaurant use last year?

Answers

the restaurant used 754,040 ounces of cream last year.

What is an Equations?

Equations are statements in mathematics that consist of two algebraic expressions separated by an equals (=) sign, indicating the equivalence between the expressions on either side. Equations can be solved to determine the value of a variable that represents an unknown quantity. A statement that does not have an "equal to" symbol is not considered an equation and is instead referred to as an expression.

If the restaurant used 50% less cream this year compared to last year, then it means that this year's usage is 50% of last year's usage.

Let x be the amount of cream used last year.

Then we can set up the following equation:

x * 50% = 377,020

To solve for x, we need to isolate it on one side of the equation.

x * 50% = 377,020

x = 377,020 / 50%

To convert 50% to a decimal, we divide it by 100:

x = 377,020 / 0.5

x = 754,040

Therefore, the restaurant used 754,040 ounces of cream last year.

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HURRY WHO IS RIGHT!!!

Answers

Answer:

Step-by-step explanation:

cat

It’s Pippa because 4/6 is 2/3. The shape got smaller since ABC goes before A’B’C’…. Hope this helps…. Let me know if I’m wrong…

Find the next term in each sequence.
Question 1:
0, 1, 3, 7, ? .
Question 2:
35, 33, 29, 21, ?.
Please Include an Explanation of how to solve problems like this!
Thanks a ton!

Answers

Question 1 is 15. It is the number added prior times 2. So since 4 was added prior, 8 was added next.

Question 2 is 5. It is the same as the first one but backwards. You would take the amount subtracted last time, multiply it by 2, and then subtract it from the number. Since 8 was subtracted last, 16 was subtracted this time.

It is now time to complete the Independence and Exclusiveness assignment. Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic. Please no gibberish if correct I will be so grateful

Answers

Two events are independent if the occurrence of one event does not affect the occurrence of the other event. In other words, the probability of one event happening is not affected by whether or not the other event happens.

A simple example would be flipping a coin and rolling a die. The outcome of the coin flip does not affect the outcome of the die roll, so these events are independent.

On the other hand, two events are mutually exclusive if they cannot happen at the same time. If one event happens, the other event cannot happen. For instance, when rolling a die, the events of getting a 1 or a 2 are mutually exclusive because it is impossible to roll both numbers at the same time.

To summarize, two events are independent if the probability of one event happening is not affected by the occurrence of the other event, while two events are mutually exclusive if they cannot happen at the same time.

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3. 14


2. The volume of the cylinder is 141. 3 cubic


centimeters. What is the radius of the cylinder?


Use 3. 14 for T.


Need answer ASAP right now

Answers

The radius of the cylinder with volume of 141.3and height of 7 cm is 2.53cm.

The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height. Given that V = 141.3 cm³ and using π ≈ 3.14, we can solve for r.

Rearranging the formula, we get r² = V/(πh), and plugging in the given values, we get r² = 141.3/(3.14*7). Since we don't know the height of the cylinder, we cannot solve for r exactly.

However, we can say that the radius of the cylinder is proportional to the square root of the volume, the height is 7 cm, then r = √(141.3/3.14*7) ≈  2.53cm. If the height is different, the radius will change accordingly.

In summary, using the formula for the volume of a cylinder andheight of 7 cm, the radius of the cylinder with volume 141.3 cm³ and using π ≈ 3.14 is approximately 2.53 cm.

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Complete question:

The volume of the cylinder is 141. 3 cubiccentimeters. What is the radius of the cylinder given that height is 7cm? use  π ≈ 3.14

what two double inequalities define shaded region

Answers

The calculated two double inequalities that define shaded region are 1 ≤ y < 5 and -3 < x ≤ 2

Determining the two double inequalities that define shaded region

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following properties

Shaded region is between y = 1 and y = 5 (exclusive of y = 5)Shaded region is between x = -3 and x = 2 (exclusive of y = 5)

Using the above as a guide, we have the following:

1 ≤ y < 5

-3 < x ≤ 2

Hence, the two double inequalities that define shaded region are 1 ≤ y < 5 and -3 < x ≤ 2

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Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(v) = 5 cos (v) - 8/√(1-v^2)
g(v) = ____

Answers

The most general antiderivative of the function g(v) = 5 cos(v) - 8/√(1-v^2) is 5 sin(v) + 8 arcsin(v) + C, where C is the constant of the antiderivative.

To find the antiderivative of the given function g(v), we can use the basic antiderivative rules. The antiderivative of 5 cos(v) is 5 sin(v), as the derivative of sin(v) is cos(v) and we only need to reverse the process.

Similarly, the antiderivative of -8/√(1-v^2) can be found using the inverse trigonometric function arcsin(v), as its derivative is -1/√(1-v^2). However, we need to include a constant of integration, denoted by C, as the antiderivative is not unique.

So the most general antiderivative of g(v) is 5 sin(v) + 8 arcsin(v) + C, where C represents the constant of the antiderivative. To check the correctness of the answer, we can differentiate it and verify if it gives us the original function g(v) as the result.

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The correlation between travel time and distance is 0. 636. a. ) Write the equation of the regression line from predicting travel time. b. ) Interpret the slope and the intercept in this context. c. ) Calculate R2 of the regression line for predicting travel time from distance traveled for the Coast Starlight, and interpret R2 in the context of the application. d. ) The distance between Santa Barbara and Los Angeles is 103 miles. Use the model to estimate the time it takes for the Starlight to travel between two cities. e. ) It usually takes the Coast Starlight about 168 mins to travel from Santa Barbara to Los Angeles. Calculate the residual and explain the meaning of this residual value. f. ) Suppose Amtrak is considering adding a stop to the Coast Starlight 500 miles away from Los Angeles. Would it be appropriate to use this linear model to predict the travel time from Los Angeles to tis point? 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