Please help!
What is the equation of this line?


A.) y=−4x+43


B.) y=43x−4


C.) y=34x−4


D.) y=−4x+34

The dependent variable in the given graph is; Total Cost

A dependent variable is defined as the variable that changes in an experiment.

Now, a dependent variable depends on other factors. For example, a test score could be classified as a dependent variable because it could change depending on several factors like how much the student studied, how much sleep the student got the night before taking the test, or even how hungry the student was when he took the test.

The domain of a function is simply defined as the set of all possible input values that we are allowed to plug into a particular function. Meanwhile the range of a function is defined as the set of all possible output  values that the particular function assumes.

Now, in this question, we see that days is the domain because it is the set of all input values while total cost depends on the number of days and as such is the range and dependent variable.

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A. The number of people who save both paper and bottles is 12.

a. To find the number of people who save both paper and bottles, we can use the principle of inclusion-exclusion.

Let's denote the number of people who save paper as P and the number of people who save bottles as B. We are given that P∪B = 32, P = 30, and B = 14.

Using the principle of inclusion-exclusion, we can calculate the number of people who save both paper and bottles as follows:

P∪B = P + B - P∩B

32 = 30 + 14 - P∩B

P∩B = 44 - 32

P∩B = 12

Therefore, the number of people who save both paper and bottles is 12 (option A).

B. The number of people who save only paper is 18.

b. To find the number of people who save only paper, we subtract the number of people who save both paper and bottles from the total number of people who save paper:

Number of people who save only paper = P - P∩B

Number of people who save only paper = 30 - 12

Number of people who save only paper = 18

Therefore, the number of people who save only paper is 18 (option B).

C. The number of people who save only bottles is 2.

c. To find the number of people who save only bottles, we subtract the number of people who save both paper and bottles from the total number of people who save bottles:

Number of people who save only bottles = B - P∩B

Number of people who save only bottles = 14 - 12

Number of people who save only bottles = 2

Therefore, the number of people who save only bottles is 2 (option C).

D. The number of people who save neither paper nor bottles is 30.

d. To find the number of people who save neither paper nor bottles, we subtract the number of people who save paper or bottles (or both) from the total number of people:

Number of people who save neither paper nor bottles = Total number of people - (P∪B)

Number of people who save neither paper nor bottles = 50 - 32

Number of people who save neither paper nor bottles = 18

Therefore, the number of people who save neither paper nor bottles is 18 (option F).

E. None of these.

e. The statement "E. 8" is not true based on the given information. There is no information about 8 people in the context of saving paper or bottles.

Therefore, the correct answers are:

A. 12

B. 18

C. 2

D. 18

E. None of these.

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Answer:

The area of the rectangle is given by the formula A = lw. Substituting the given values, we get:

A = (x+14)(3x+1)

Expanding the expression, we get:

A = 3x^2 + x + 42x + 14

A = 3x^2 + 43x + 14

Therefore, the area of the rectangle is given by the polynomial expression 3x^2 + 43x + 14.

Answer:

b is your answer hope it helps

Step-by-step explanation:

Based on the given information, the calculation of the stock's intrinsic value suggests that you would be willing to pay a certain amount for Consolidated Edison stock. The annual dividend is $3 per share, with an expected growth rate of 10% and a required rate of return of 16%.

To determine the intrinsic value of a stock using the dividend growth model, you can use the formula: Intrinsic Value = Dividend / (Required Rate of Return - Growth Rate). Applying this formula, the intrinsic value of the stock can be calculated as follows: $3 / (0.16 - 0.10) = $3 / 0.06 = $50.

Therefore, based on the given information, you would be willing to pay up to $50 for Consolidated Edison stock. It is important to note that this calculation assumes a constant growth rate and does not account for other factors that may influence the stock's value, such as market conditions, company performance, or industry trends. It is always advisable to conduct further research and analysis before making any investment decisions.

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Hey there! I'm happy to help!

We see that if you add 5% to the original cost, we have $168 as our cost. This means that 105% of the original cost is 168. Let's set up an equation to find the original cost. Let's call our original cost c.

To turn a percent into a decimal, you divide by 100.

1.05c=168

We divide both sides by 1.05.

c=160

Therefore, the original cost was $160.

Have a wonderful day! :D

Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

\(4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2\)

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

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Answer:

11+11+13+5+5+4+4=53

Step-by-step explanation:

so 4 is the answer

Answer:

1. MAD for Jada's data set = 1

Step-by-step explanation:

Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value

Jada's data set is given as: 4, 4, 4, 6, 6 ,6

Mean = 5

✔️Find the distance between each data value form the mean

4 = |4 - 5| = 1

4 = |4 - 5| = 1

4 = |4 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

✔️Find the sum of the distances of each data value from the mean

1 + 1 + 1 + 1 + 1 + 1 = 6

✔️Find the MAD:

MAD = 6/6

MAD = 1

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

Answer:

include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.

Step-by-step explanation:

The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.

It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.

The number of solutions to the equation (cos x)(b sin x - a) = 0 on the interval 0 ≤ x < 2π is c) 2.

To determine the number of solutions to the equation (cos x)(b sin x - a) = 0 on the interval 0 ≤ x < 2π, we need to analyze the behavior of each term separately.

The equation can be true if either (cos x) = 0 or (b sin x - a) = 0, or both.

For (cos x) = 0:

The cosine function is equal to 0 at two points within the interval 0 ≤ x < 2π, which are π/2 and 3π/2. Therefore, (cos x) = 0 has two solutions.

For (b sin x - a) = 0:

To solve this equation, we isolate the sin x term:

b sin x = a

Since a and b are integers, the values of sin x must be rational numbers to satisfy the equation.

Considering the unit circle and the properties of the sine function, the values of sin x are rational at four points within the interval 0 ≤ x < 2π: 0, π, 2π, and π/2.

Now, let's consider the two cases:

a) If sin x = 0:

This occurs at x = 0 and x = π.

b) If sin x ≠ 0:

This occurs at x = π/2 and x = 3π/2.

In both cases, if we substitute these values into (b sin x - a), we get:

b sin(0) - a = -a ≠ 0

b sin(π) - a = -a ≠ 0

b sin(π/2) - a = b - a ≠ 0

b sin(3π/2) - a = -b - a ≠ 0

So, (b sin x - a) = 0 does not have any solutions within the interval 0 ≤ x < 2π.

Therefore, the number of solutions to the equation (cos x)(b sin x - a) = 0 on the interval 0 ≤ x < 2π is equal to the number of solutions of (cos x) = 0, which is 2.

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Answer:

The formula for the area of a circle is given by Pi * r^2, where r is the radius of the circle. If the area of the circle is 100 Pi, we can solve for the radius:

100 Pi = Pi * r^2

r^2 = 100

r = 10

The formula for the circumference of a circle is given by 2 * Pi * r. Substituting the value of r = 10, we get:

C = 2 * Pi * r = 2 * Pi * 10 = 20 * Pi

So, the circumference of the circle is 20 Pi.

The value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

Let's call the unknown number "x". The statement "When 12 is multiplied by a number, the result is 72" can be represented mathematically as:

12 * x = 72

This equation states that when we multiply 12 by the unknown number "x", we obtain a product of 72. To find the value of "x", we need to solve this equation.

To solve for "x", we can divide both sides of the equation by 12:

(12 * x) / 12 = 72 / 12

Simplifying, we have:

x = 6

Therefore, the equation that fits the given statement is:

12 * x = 72

Where "x" is equal to 6.

In this equation, the value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

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Answer: you would put x and y in their places

and solve it, remember, Ax+By+C=0

but in this case its Dx+Ey+F

The weight that the next measurement has a 10% chance of exceeding is 9.784.

Here we need a weight such that the next weight had a 10% chance of exceeding that weight "w" i.e. we need a w such that

P(X>w)=0.1, Where X denotes the weight of the object. Here X follows Normal(9.78, 0.0031) . Thus,

Z = X-9.78 / 0.0031 follows Normal (0, 1) and

P(X>w) = 0.1

= P((X-9.7)/0.031 > (w-9.78)/0.031)

= 0.1

= 1 - P(Z≤ (w-9.78)/0.031)

= (w-9.78)/0.031

= Φ⁻¹(0.9)

= (w-9.78)/0.031 = 1.28155

= w = 9.784

Hence the weight that the next measurement has a 10% chance of exceeding is 9.784.

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inFinite many solutions

The top of the ladder touches a height of 8 feet on the wall. To determine how high on the wall the top of the ladder touches, we can use the Pythagorean theorem.

In this case, the ladder forms the hypotenuse of a right triangle, and the base of the wall and the height on the wall form the other two sides.

Let's denote the height on the wall as 'h'. According to the problem, one end of the ladder is 6 feet from the base of the wall, so the base of the triangle is 6 feet.

We can set up the equation using the Pythagorean theorem:

\((6)^2 + (h)^2 = (10)^2\)

Simplifying the equation:

36 + \(h^2\) = 100

\(h^2\) = 100 - 36

\(h^2\)= 64

Taking the square root of both sides:

h = √64

h = 8

Therefore, the top of the ladder touches a height of 8 feet on the wall.

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To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

Answer:

the answers is 95 dollers

Answer:

Step-by-step explanation:

18500 x 108.5=$2007250

At the end of practice, the water cooler weighs 58.9 pounds. The weight of the water consumed by the soccer team is 22.05 pounds, and the initial weight of the cooler is 37.4 pounds.

The initial weight of the water cooler is 37.4 pounds. During practice, the soccer team drinks 10.5 quarts of water from the cooler. Given that 1 quart of water weighs 2.1 pounds, the weight of the water consumed is 10.5 quarts * 2.1 pounds/quart = 22.05 pounds.

To determine the weight of the water cooler at the end of practice, we add the weight of the water consumed (22.05 pounds) to the initial weight of the cooler (37.4 pounds), resulting in a total weight of 58.9 pounds. Therefore, the water cooler weighs 58.9 pounds at the end of practice.

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Therefore, all possible values of aa that satisfy the conditions are aa such that a<34a<43​.

To find all possible values of aa such that the quadratic equation ax2+(2a+2)x+a+3=0ax2+(2a+2)x+a+3=0 has two roots with a distance greater than 1 on the number line, we can use the discriminant.

The discriminant of a quadratic equation ax2+bx+c=0ax2+bx+c=0 is given by Δ=b2−4acΔ=b2−4ac. For the equation to have two distinct real roots, the discriminant must be greater than 0.

In our case, the discriminant is Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4.

For the equation to have two distinct roots with a distance greater than 1, we want Δ>12Δ>12, which simplifies to −4a+4>1−4a+4>1.

Solving this inequality, we have −4a>−3−4a>−3, which leads to a<34a<43​.

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