At Joe's Clown Car Rental Agency, renting a car costs $45 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

Answer:

x = 15°

Step-by-step explanation:

The secant- tangent angle x is half the difference of the intercepted arcs, that is

x = \(\frac{1}{2}\) (80 - 50)° = 0.5 × 30° = 15°

Answer:

\( 2\sqrt{2} \)

Step-by-step explanation:

\( g(x) = \sqrt{x - 4} \)

\( h(x) = 2x - 8 \)

\( h(10) = 2(10) - 8 = 12 \)

\( g(h(10)) = g(12) = \sqrt{12 - 4} \)

\( g(h(10)) = \sqrt{8} = 2\sqrt{2} \)

Answer: \( 2\sqrt{2} \)

Answer:

2 square root 2

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.

x = first number

y = second number

x=y+5

3x +2y = 30

lets substitute x=y+5 in the second equation for x;

3(y+5) + 2y =30

3y + 15 + 2y = 30

5y + 15 =30

5y = 30 -15

5y = 15

y = 3

Now that we have y lets plug that answer into either equation for y;

x = 3 + 5

x = 8

:) if I’m wrong I’m very sorry.

Answer: The value of the second number is 43

Step-by-step explanation:

x+x+4=86

2x+4=86

2x=82

x=41

41+2=43

I hope you find this helpful :))

Answer:

15.9p-13

Step-by-step explanation:

Answer:

15.9p-13

Step-by-step explanation:

i had this question and got it right

a. The company can anticipate a long-run market share of approximately 6.276%. This takes into account the proportions of new purchasers trying the brand, the proportions of repurchasing customers.

To calculate the long-run market share, we need to consider the proportions of new purchasers who try the brand and the proportions of those who repurchase it in the future. Given that 40% of new purchasers will try the brand and 60% of those who try it will repurchase it, we can calculate the long-run market share as follows:

Long-run market share = (Proportion of new purchasers trying the brand) * (Proportion of repurchasing customers)

Long-run market share = 0.40 * 0.60

Long-run market share = 0.24

However, we also need to consider that the brand attracts heavier-than-average buyers who purchase about 15% more. So, we adjust the market share by multiplying it by the buyer index, which is 1.15:

Adjusted long-run market share = (Long-run market share) * (Buyer index)

Adjusted long-run market share = 0.24 * 1.15

Adjusted long-run market share = 0.276

Therefore, the company can anticipate a long-run market share of approximately 6.276%.

Based on the given assumptions and calculations, the company can expect a long-run market share of approximately 6.276%. This takes into account the proportions of new purchasers trying the brand, the proportions of repurchasing customers, and the adjustment for heavier-than-average buyers.

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Answer:

1. New England Patriots: (3,-2)

2. Miami Dolphins: (-2,1)

3. Denver Brancos: (4,3)

4. Green Bay Packers: (-1,3)

5. San Franciso 49ers: (-4,-4)

6. Pittsburg Steelers: (2,2)

7. Baltimore Ravens: (3,1)

8. Dallas Cowboys: (4,-3)

9. Oakland Raiders: (-4,2)

10. Washington Redskins: (-3,-1)

Answer:

Step-by-step explanation:

5x + 2y = - 2

2y = - 5x - 2

y = \(-\frac{5}{2}\) x - 1

Answer:

Explanation:

Hey there!

Please see your required solution in picture.

Quotient Q(X) = 3x²-x+4

Hope it helps!

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Answer:-

Step-by-step explanation:

-120 - 40- would be -160 because when negative you go up when subtracting.

(not sure if I'm right. take this answer at your own risk)

Answer:

approximately 12.04 units

Step-by-step explanation:

We'll use the Pythagorean Theorem to solve this problem.

There are two points here.  The horizontal distance between them is 8 units and the vertical distance is 9.

According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is

d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.

She will drive 95 miles in 1.5 hours

Step-by-step explanation:

Know how many minutes are there in 1.5 hours (90 minutes) Divide 90÷18= 5. Multiply 19 miles by 5. Answer should be 95 miles

Answer:

ms n cm n cm cm cm cm n cm cm cm jxnxnmxmxmxmxmmxnxnxkxkkxkklll

ms n cm n cm en ms n cm cm ms ms me n nxmx.cm cm cm cm cm nc.cmxmfmmx mfkfk kdldlmfmflx odkdmmxmddnkfkfn nfkfnf. fkdnfnmxk

Step-by-step explanation:

sjnxcmfmfkjdmfmdndjndndkkjdjfjfndnxmdnkfmdmfnfknxmfmflkhggfddfcbnkuffbkiyggjygyejdjffufuruurfuifufkdkdisodiskzkmxkxkfkfkofidididkx sjsjdkkfkxkxkcmclmclxkxndjzjjsndnmxmxlxllkdjdknxnnxn n

Answer:

4 >x

Step-by-step explanation:

3(x + 6) – 2(x – 4) > 5(x + 2)

Distribute

3x+18 -2x+8 > 5x+10

Combine like terms

x +26 > 5x+10

Subtract x from each side

x+26-x > 5x-x+10

26 > 4x+10

Subtract 10 from each side

26-10 >4x+10-10

16 >4x

Divide each side by 4

16/4 >4x/4

4 >x

a₁ = 4

n = 10

d = 3

a = a₁ + (n - 1)d

a₁₀ = 4 + (10 - 1)3

a₁₀ = 4 + (9)3

a₁₀ = 4 + 27

a₁₀ = 31

The 10th term would be 31 and the d variable will be replaced with the number 3.

Answer:

The first term is 3. The common difference is 2.

Step-by-step explanation:

The first term is x.

The common difference is d.

The second term is x + d.

3rd term: x + 2d

4th term: x + 3d

7th term: x + 6d

"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"

x + 3d = 3 * x       Eq. 1

"the seventh term exceeds twice the third term by 1"

x + 6d = 2(x + 2d) + 1       Eq. 2

Simplify Eq. 1:

2x = 3d

Simplify Eq. 2:

x + 6d = 2x + 4d + 1

x = 2d - 1

Multiply both sides of the last equation by 2.

2x = 4d - 2

2x = 3d   (simplified Eq. 1)

Since 2x = 2x, then the right sides are equal.

3d = 4d - 2

d = 2

2x = 3d

2x = 3(2)

2x = 6

x = 3

Answer: The first term is 3. The common difference is 2.

Joe's rate of download is given as

Jasmine rate of download is given as

Since both Joe and Jasmine have the same rate of song download/minute, none is faster than the other

The half-life is the amount of time it takes for a quantity to reduce to half its initial value.

In the equation y = A(0.5)^(t/half-life), the half-life is represented as a variable in the denominator of the exponent.

y is the final value of the quantity after a certain amount of time, t.
A is the initial value of the quantity at the beginning (t = 0).
0.5 is the factor that represents a 50% decrease, as we are considering half-life.
t is the time that has passed.
half-life is the time it takes for the quantity to reduce to half its initial value.

In this equation, the half-life is used to determine how much of the initial quantity (A) remains after a certain amount of time (t). By dividing t by the half-life in the exponent, we can calculate the remaining quantity (y) after the specified time.

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So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

We need to use the principle of multiplication. We first choose the position of the first person in the row, which can be any of the n men or n women. Without loss of generality, let's say we choose a man. Then, for the next position, we need to choose a woman since we are alternating genders. There are n women to choose from. For the third position, we need to choose another man, and there are n-1 men left to choose from (since we already used one). For the fourth position, we need to choose another woman, and there are n-1 women left to choose from. We continue this pattern until all n men and n women are placed in the row.

Using the principle of multiplication, we can find the total number of ways to arrange the people by multiplying the number of choices at each step. Therefore, the total number of ways to arrange the people in a row if the men and women alternate is:

n * n-1 * n * n-1 * ... * 2 * 1

This can be simplified to:

(n!)^2

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

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Answer:

50,000,000 centímetros cúbicos.

Step-by-step explanation:

En la pregunta anterior, se nos dan las dimensiones de este cubo en metros como:

Longitud = 5m

Ancho = 4 m

Altura = 2.5 m

Nos dijeron que encontraramos el volumen en centímetros cúbicos

Paso 1

Convierta todas estas dimensiones a centímetros

1m = 100cm

Por lo tanto:

Longitud = 5 m = 5 × 100 cm = 500 cm

Ancho = 4 m = 4 × 100 cm = 400 cm

Altura = 2.5 m = 2.5 × 100cm = 250cm

Paso 2

Fórmula para el volumen de un cubo = Largo × Ancho × Alto

Volumen = 500 cm × 400 cm × 250 cm

Volumen = 50,000,000 centímetros cúbicos.

Por lo tanto, el volumen, en centímetros cúbicos, de la habitación es de 50,000,000 centímetros cúbicos.

The sum of all the conditional probabilities of X given that value of Y must also equal 1. This can be written as Σ P(X | Y = y) = 1.

If X and Y are random variables, the sum of all the conditional probabilities of X given a specific value of Y will always be 1. This is because conditional probabilities are defined as the probability of an event occurring given that another event has already occurred. In this case, the other event is a specific value of Y. Since the probability of all possible outcomes of X given a specific value of Y must add up to 1, the sum of all the conditional probabilities of X given that value of Y must also equal 1.

Conditional probability is defined as the probability of an event occurring given that another event has already occurred. For example, the probability of getting a head on a coin flip given that the coin is fair is 0.5. This is written as P(H | F) = 0.5, where H is the event of getting a head and F is the event of the coin being fair. In the case of random variables X and Y, the conditional probability of X given a specific value of Y is written as P(X | Y = y), where y is a specific value of Y.

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Two samples are paired if the sample values are paired.

Paired samples are a type of dependent samples where each observation in one sample is uniquely paired or matched with an observation in the other sample. The pairing is usually based on a natural association, such as measuring the same variable on the same subject before and after a treatment, or measuring two variables on the same subject at the same time. Paired samples are often analyzed using methods such as paired t-test or Wilcoxon signed-rank test, which take into account the dependency between the samples. Pairing can also help to reduce variability and increase statistical power in the analysis.

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The image of each vertex as an ordered pair include the following:

A → A' (-5, -1).

B → B' (0, -6).

C → C' (-3, -9).

In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.

By translating the pre-image of triangle ABC horizontally right by 2 units and vertically down 5 units, the coordinates of triangle ABC include the following:

(x, y)                               →                  (x + 2, y - 5)

A (-7, 4)                        →                  (-7 + 2, 4 - 5) = A' (-5, -1).

B (-2, -1)                        →                  (-2 + 2, -1 - 5) = B' (0, -6).

C (-5, -4)                        →                  (-5 + 2, -4 - 5) = C' (-3, -9).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

To learn more about  mass-produced good: -

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

--------------------

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)