Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?

Answer: 40/7 or 5.7

Step-by-step explanation:

using angle bisector theorem we get,

x/5 = 8/7

Upon substituting our given values in above equation, we will get:

x/5 X 5 = 8/7 X 5

x = 40/7 or 5.7

Answer:

3.3

Step-by-step explanation:

Angle bisector theorem: In a triangle, the angle bisector of any angle will divide the opposite side in the ratio of the sides containing the angle.

       \(\dfrac{x}{8-x}=\dfrac{5}{7}\)

Cross multiply,

    x *7 = 5*(8 - x)

        7x = 40 - 5x

   7x + 5x = 40

        12x   = 40

             \(x = \dfrac{40}{12}\\\\x = 3.3\)

Answer:

Step-by-step explanation:

Answer:

B)  13

Step-by-step explanation:

Given equation:

\(4(y-3)+19=59\)

Subtract 19 from both sides:

\(\implies 4(y-3)+19-19=59-19\)

\(\implies 4(y-3)=40\)

Divide both sides by 4:

\(\implies \dfrac{4(y-3)}{4}=\dfrac{40}{4}\)

\(\implies y-3=10\)

Add 3 to both sides:

\(\implies y-3+3=10+3\)

\(\implies y=13\)

Check by substituting y = 13 into the original equation:

\(\begin{aligned}\implies 4(13-3)+19 & = 4(10)+19\\& = 40+19\\& = 59\end{aligned}\)

Hence verifying that y = 13.

Answer:

B.) y = 13

Given expression:

\(\sf \rightarrow 4(y-3)+19 = 59\)

Solving steps:

\(\sf \rightarrow 4(y-3)= 59-19\)

\(\sf \rightarrow 4(y-3)=40\)

\(\sf \rightarrow y-3=10\)

\(\sf \rightarrow y=10+3\)

\(\sf \rightarrow y=13\)

Answer:

86

Step-by-step explanation:

average is calculated as

average = \(\frac{sum}{count}\)

given her average was 70 in 3 tests , then

\(\frac{sum}{3}\) = 70 ( multiply both sides by 3 )

sum = 210

let the score she must get in test 4 be x for an average of 74 , then

\(\frac{210+x}{4}\) = 74 ( multiply both sides by 4 )

210 + x = 296 ( subtract 210 from both sides )

x = 86

she must score 86 in her next test

Answer:

\(\frac{x}{3}\)= 70

x=210

\(\frac{210+x}{4}\) = 74

210+x=74x4

210+x=296

x=296-210

x=86

Plss mark as brainliest

Answer: y=-5/3x+8

Step-by-step explanation:

Hope this helped!:)

According to the most recent data from the U.S. Bureau of Labor Statistics (BLS), as of 2020, approximately 10.1% of Americans are self-employed.

This means that out of the total U.S. population, about 1 in 10 individuals are working for themselves rather than being employed by someone else.

It is important to note that the percentage of self-employed individuals can vary depending on various factors such as economic conditions, industry trends, and personal preferences. For example, certain industries like agriculture, construction, and professional services tend to have higher rates of self-employment compared to others.

Self-employment offers individuals the opportunity to have more control over their work, set their own schedules, and potentially earn higher incomes. However, it also comes with certain challenges such as the need to handle business-related tasks like marketing, finances, and customer acquisition.

Overall, the percentage of self-employed Americans provides insights into the dynamic nature of the job market and the various ways people choose to earn a living.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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The relationship between x and y can be described based on the value of the sample correlation coefficient.

Sample covariance measures the degree to which two variables are linearly related and the direction of their linear relationship. The formula for sample covariance is:

\(Cov(x,y) = (1/(n-1)) * \Sigma(x-\bar x)(y- \bar y)\) where,

The sample correlation coefficient, also known as Pearson's correlation coefficient, measures the degree to which two variables are linearly related and the direction of their linear relationship. It is a normalized version of the sample covariance, with a value between -1 and 1. The formula for the sample correlation coefficient is:

r = Cov(x,y) / (s1 * s2) where,  

To calculate the sample covariance and sample correlation coefficient, we need to have a sample of data containing the variables x and y. Once we have the data, we can calculate the sample means, and sample standard deviations, and then use the formulas above to calculate the sample covariance and sample correlation coefficient.

The relationship between x and y can be described based on the value of the sample correlation coefficient.

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The complete question is:

Given a sample of data containing the variables x and y, calculate the sample covariance and the sample correlation coefficient, and describe the relationship between x and y.

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Answer:

y - 5 = -3/2 (x + 2)

Step-by-step explanation:

Point-slope formula is short cut, fill-in-the-blank formula to write an equation of a line. If you know a point and the slope, you just fill them in, and voila! you have the equation.

The point is (X, Y) and the slope is m.

We will fill in (-2,5) for the (X,Y)...that is, -2 for X and 5 for Y. And then fill in -3/2 for m.

Here's the Point-slope equation:

y - Y = m(x - X)

y - 5 = -3/2 (x- -2)

Simplify the "minus a negative"

y - 5 = -3/2 (x + 2)

Make sure the parenthesis on the right is beside the whole fraction -3/2 and not on the bottom of the fraction.

Answer:

-6n-4+3<17

-6n-1<17

-6n<17+1

-6n<18

DIVIDE BOTH SIDE WITH THE COEFFICIENT OF n WHICH IS (-6)

-6n =18

-6 -6

n= -3

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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Interval of increase: (-∞, -1) ∪ (3, +∞)

Interval of decrease: (-1, 3)

Given function is f(x) = x³ - 3x² - 9x + 4

Differentiating with respect to x,

f'(x) = 3x² - 6x - 9

f'(x) = 3 (x² - 2x - 3)

f'(x) = 3 (x² - 3x + x - 3)

f'(x) = 3 (x(x - 3) + (x - 3))

f'(x) = 3 (x - 3) (x + 1)

For increasing or decreasing,

f'(x) = 0

3 (x - 3) (x + 1) = 0

x = - 1, 3

In interval (-∞, -1 ), f'(x) = positive,

⇒ f(x) is increasing on (-∞, -1 ),

In interval (-1, 3), f'(x) = negative,

⇒ f(x) is decreasing on (-1, 3),

In interval (3, ∞), f'(x) = positive,

⇒ f(x) is increasing on (3, ∞),

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Given question is incomplete, the complete question is below

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³ - 3x² - 9x + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)

Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

The value of c is 2.

To solve the equation 2 divided by 1/4 = c using multiplication, we can utilize the concept of the reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and denominator.

In this case, we are given the expression 2 divided by 1/4. To convert this division operation into a multiplication operation, we can rewrite the expression using the reciprocal of 1/4, which is 4/1.

So, the equation becomes:

2 ÷ (1/4) = c

Now, we can multiply both sides of the equation by the reciprocal, 4/1:

(2 ÷ (1/4)) * (4/1) = c * (4/1)

Simplifying both sides, we have:

2 * 4 = c * 4

8 = 4c

Next, to solve for the variable c, we divide both sides of the equation by 4:

(8) / 4 = (4c) / 4

2 = c

Therefore, the value of c is 2.

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Answer:

No asymptotes

Step-by-step explanation:

There are no asymptotes because it's not a rational expression. It's a linear expression rather.

Answer:

y=6

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

Answer:

can barely see the questions but to find slope the equation is

\( \frac{y2}{x2} - \frac{y1}{x1} \)

Answer:

Step-by-step explanation:

x^2 = 40

To find the value of x you must take the square root of both x^2 and 40.

When you do, you get

sqrt(x^2) = sqrt(40)

Answer   x =  + sqrt(40)

Simplification

x = + sqrt(2 * 2 * 2 * 5)

The square root of 2 equal primes is one of them. That root can be shown outside the root sign.

x = + 2*sqrt(  2 * 5)

Answer:

Population of West Virginia in 2010 will be 1,767,128.

Step-by-step explanation:

Population of West Virginia in 1995 = 1,821,000

Population decreased by = 0.2%

Now, number of years from 1995 to 2010= (2010-1995)= 15 years

So, population in 2010 can be found by putting these values as below:

1821000×\((1-\frac{0.2}{100})\)×15

which on further solving will be = 1,767,128

so, we can say that if this trend continues population in 2010 will 1,767,128

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The correct option is D. 1/4 of the distance from A to B.

D. 1/4 of distance from A to B.

The potential energy of a spring varies with the displacement of the object from its equilibrium position. At the equilibrium position, the potential energy is at a minimum, and the kinetic energy is at its maximum. As the object moves away from the equilibrium position, the potential energy increases and the kinetic energy decreases until the object reaches the maximum displacement point, where the potential energy is at a maximum and the kinetic energy is at a minimum.

In the case of a vertical spring, the equilibrium position is the midpoint between the two extreme points, A and B. At this point, the object has zero potential energy and maximum kinetic energy. As the object moves away from the equilibrium position towards point A, its potential energy increases and its kinetic energy decreases until it reaches point A, where the potential energy is at a maximum and the kinetic energy is at a minimum. Therefore, the object is located at point A when the kinetic energy is at a minimum.

Since the spring is ideal and massless, the potential energy is proportional to the square of the displacement from the equilibrium position. The kinetic energy is proportional to the square of the velocity of the object. At point A, the velocity of the object is zero, and hence the kinetic energy is at a minimum. Therefore, the object is located at point A when the kinetic energy is a minimum.

The distance from A to B is divided into four equal parts, and the object is located at the first quarter point from A to B, which is 1/4 of the distance from A to B. Therefore, the correct option is D. 1/4 of the distance from A to B.

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Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

The solution to the original equation is approximately 1.4422.

To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:

- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422

Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.

In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.  

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The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= \(\frac{1}{3}\)\(\pi\)\(r^{2}\)h ---> V= \(\frac{1}{3}\)\(\pi\)(\(5^{2}\))(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

The two inequalities that best describe the plant heights in millimeters are: h > 32 and h < 52. This is because all the recorded heights fall within this range. The other options do not include all the recorded heights or include heights that are not recorded.

To find the best inequalities that describe the plant heights (h) in millimeters, we need to determine the minimum and maximum heights from the given list.

List of plant heights: 52, 46, 51, 32, 50

Minimum height: 32 mm
Maximum height: 52 mm

Now we can write the inequalities that best describe the plant heights:

h > 32 (heights are greater than 32 mm)
h < 52 (heights are less than 52 mm)

Your answer: h > 32, h < 52

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To solve for the Marshallian demands x1(p1, p2, m) and x2(p1, p2, m) in the consumer problem with utility function U(x1, x2) = min{x1, ax2}, we need to maximize the utility subject to the budget constraint p1x1 + p2x2 ≤ m, where p1 and p2 are the prices of goods 1 and 2 respectively, and m is the consumer's income.

To find the Marshallian demands, we need to solve the consumer's optimization problem. The objective is to maximize the utility function U(x1, x2) = min{x1, ax2} subject to the budget constraint p1x1 + p2x2 ≤ m.

The first step is to set up the Lagrangian function:

L(x1, x2, λ) = min{x1, ax2} + λ(m - p1x1 - p2x2)

Next, we take the first-order conditions by differentiating the Lagrangian with respect to x1, x2, and λ, and setting the derivatives equal to zero. This will give us the equations for the optimal values of x1, x2, and the Lagrange multiplier λ.

By solving these equations, we can find the specific values for x1(p1, p2, m) and x2(p1, p2, m) that maximize the utility function while satisfying the budget constraint. The resulting demands will depend on the prices (p1, p2) and the consumer's income (m).

Note that the specific calculations involved in solving the optimization problem can be quite involved and may require further mathematical manipulation.

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Answer:

All real numbers are solutions.

Step-by-step explanation:

3x-7=3(x-3)+2

3x-7=3x-7

subtract 7 from both sides

3x=3x

subtract 3x from both sides

0=0

All real numbers are solutions.

Answer:

12 + 3x = 24

Step-by-step explanation:

Simplifying

3x + 12 = 24

Reorder the terms:

12 + 3x = 24

Solving

12 + 3x = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 3x = 24 + -12

Combine like terms: 12 + -12 = 0

0 + 3x = 24 + -12

3x = 24 + -12

Combine like terms: 24 + -12 = 12

3x = 12

Divide each side by '3'.

x = 4

Simplifying

x = 4

Answer

x=12

Step-by-step explanation:

3 times 12 is 36

36 minus 12 is 24

If a section of a highway is constructed with a 23% grade, the angle that the highway will make with a horizontal line will be: 13°.

Using the SOH CAH TOA formula, the angle that the highway will make with the horizontal line can be gotten by finding the tangent which is the

vertical/horizontal

Horizontal = 100 ft

Angle of inclination = 0.23

For the 23% grade, we will have

tan⁻1 of 0.23 = 12.9527°

= 13.0°

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