The following table showes the number of hours a cleaning company spends on cleaning apartments

1 2 3 4
3 6 9 12

What does the rate of change represent? The number of hours it takes to clean one apartment or the number of apartments cleaned each hour.

When substituting the given values of a = 4 and b = 2 into the given expression, we find that the result is -60.

To evaluate the expression a+(-b)a+(−b)a, let's substitute the given values for a and b. We are given that a = 4 and b = 2.

First, we evaluate (-b)a as (-2)4, which equals -8. Then, we substitute this value back into the expression:

a+(-b)a+(−b)a becomes 4+(-8)4+(−8)4.

Next, we perform the multiplications:

4+(-8)4+(−8)4 simplifies to 4+(-32)+(-32).

To continue, we simplify the negative values:

4+(-32)+(-32) equals 4-32-32, which further simplifies to -60.

Therefore, a+(-b)a+(−b)a, where a = 4 and b = 2, is equal to -60.

In summary, when substituting the given values of a = 4 and b = 2 into the given expression, we find that the result is -60.

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Answer:answer is 1.43

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

Since 3 hours and $15 an hour

Answer:

2.

Step-by-step explanation:

Since 3 hours and $15 an hour

Answer:

Step-by-step explanation:

Can't see all the graphs, but the graph of \(y=-x^2\) is an upside down parabola with the vertex at the origin.

Answer:

(a) 40 units

Step-by-step explanation:

32/16=2

20 times 2=40

Answer:

A

Step-by-step explanation:

Since square pyramids A and B are similar, they need to have similar lengths.

Pyramid B's lengths are 2 times larger than that of pyramid A.

Pyramid A: 16 units, 16 units, 20 units.

                     *2            *2           *2

Pyramid B: 32 units, 32 units, ? units

So, the missing side length has to be 20 *2 = 40 units.

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Answer:

x<12

Step-by-step explanation:

Step 1: Simplify both sides

-1/4x > -3

Step 2: Multiply both sides by 4/-1

(4/-1) * (-1/4) > (4/-1) * (-3)

Final Conclusion: [x < 12]

By Cavalieri's Principle, the volume of that slanted cylinder will be the same volume of a non-slanted cylinder with the same altitude.

so we have a cylinder with a radius of 3 and a height of 7 and a cone hitching a ride on it, with a radius of 3 and a height of 3, so let's simply get the volume of each.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=3 \end{cases}\implies V=\pi (3)^2(7) \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=3\\ r=3 \end{cases}\implies V=\cfrac{\pi (3)^2(3)}{3} \\\\[-0.35em] ~\dotfill\\\\ \pi (3)^2(7)~~ + ~~\cfrac{\pi (3)^2(3)}{3}\implies 63\pi +9\pi \implies 72\pi ~~ \approx ~~ \text{\LARGE 226.19}~in^3\)

In triangle ABC, let D, E, and F be the Midpoints of sides BC, AC, and AB ,(GP)(GQ) equals to 15 in this geometry .

In triangle ABC, let D, E, and F be the midpoints of sides BC, AC, and AB, respectively. Let G be the centroid of triangle ABC.

The circle passing through points A, B, and C intersects the circumcircle of triangle DEF at points P and Q.

Given that the length of segment GP is 9 and the length of segment GQ is 6, find the value of (GP)(GQ).

we can start by observing some properties of the given figure. The centroid G divides the medians of the triangle in a 2:1 ratio. Therefore, we can express the lengths of segments GD, GE, and GF as (2/3)(GP), (2/3)(GQ), and (2/3)(GQ), respectively.

Now, let's consider the circumcircle of triangle DEF. Since points P and Q lie on this circle, we can use the intersecting chords theorem to determine the relationship between (GP)(GQ) and (GD)(GE).

According to the intersecting chords theorem, when two chords intersect in a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In this case, we have:

(GP)(GQ) = (GD)(GE)

Substituting the expressions for GD and GE, we get:

(GP)(GQ) = ((2/3)(GP))((2/3)(GQ))

          = (4/9)(GP)(GQ)

We are given that GP = 9 and GQ = 6. Substituting these values, we have:

(GP)(GQ) = (4/9)(9)(6)

            = 15

Therefore, (GP)(GQ) equals 15 in this geometry problem.

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Answer:

\(m = \frac{2.90 - 2.50}{20 - 0} = \frac{.40}{20} = .02\)

\(f(x) = .02x + 2.50\)

\(f(30) = .02(30) + 2.50 \)

\(f(30) = 3.10\)

In 2030, the price of oil would be $3.10.

Answer: x=40 y=56

Step-by-step explanation:

Multiply the entire equation by the common denominator to get rid of the denominator.

then the equation becomes when multiply first by 4 and second equation by 20

4(-3x+2y=-2)            mult 4

3(4x-5y=-120)           mult 3 to get rid of the x term

-12x+8y=-32

12x-15y=-360      add 2 equations

-7y=-392

y=56

4x-5(56)=-120      find easiest equation to plug y to solve for x

4x=160

x=40

Answer:

y=-1/2x+80

Step-by-step explanation:

Answer:

y = 1/2 + 80

I just divided the whole sequence by 6.50, so that y could end as 1y = etc.

Answer:

Answers below

Step-by-step explanation:

1) 31

2) 1

3) 7

4) 23

5) 21

6) 11

7) 5

To test a trading rule for statistically and economically significant alpha, follow these steps: gather data, formulate a hypothesis, measure performance, conduct statistical tests, assess economic significance, and perform robustness testing.


To determine if a trading rule generates a statistically and economically significant alpha, several steps can be followed. Alpha refers to the excess return generated by a trading strategy beyond what would be expected from market movements. Here's a summary of the testing process:

To test a trading rule's alpha, you can follow these steps:

1. Data Preparation: Gather historical price data for the assets being traded and any relevant market indices. Ensure the data is clean, consistent, and properly adjusted for dividends and corporate actions.

2. Hypothesis Formulation: Clearly define the trading rule being tested, specifying the entry and exit criteria. Formulate a null hypothesis assuming no alpha exists and an alternative hypothesis suggesting the presence of statistically and economically significant alpha.

3. Performance Measurement: Apply the trading rule to the historical price data and calculate the strategy's performance metrics, including returns, volatility, and risk-adjusted measures like the Sharpe ratio or information ratio.

4. Statistical Significance: Conduct hypothesis testing using appropriate statistical methods such as t-tests or regression analysis to determine if the strategy's excess returns are statistically significant. This helps assess whether the alpha is due to skill or randomness.

5. Economic Significance: Evaluate the economic significance of the alpha by considering transaction costs, liquidity constraints, and realistic trading scenarios. Adjust the returns for these factors to assess if the strategy generates meaningful profits after accounting for expenses.

6. Robustness Testing: Perform sensitivity analysis by varying key parameters of the trading rule and assessing the stability and consistency of the alpha. This helps determine if the strategy's performance is robust across different market conditions and time periods.

By following these steps, you can systematically evaluate a trading rule's alpha generation potential. Remember, it's important to consider statistical significance, economic significance, and robustness to draw meaningful conclusions about a trading strategy's effectiveness.

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Answer:

Step-by-step explanation:

If x varies directly as y and inversely as z, then we can write:

x = k * (y / z)

where k is a constant of proportionality.

We can find the value of k by substituting the given values of x, y, and z:

3 = k * (4 / 8)

Simplifying the right-hand side:

3 = k * 0.5

k = 6

Now we can use this value of k to find x when y is 3 and z is 2:

x = 6 * (3 / 2)

x = 9

Therefore, when y is 3 and z is 2, x is equal to 9.

Answer: 12 cups

Step-by-step explanation:

Answer:

12 cups

Step-by-step explanation:

1 pint = 2 cups

6 pints = 6 × 2 cups = 12 cups

The intrinsic value of the stock is $47.80.

The intrinsic value of a stock is calculated using the dividend discount model (DDM).

The DDM formula is as follows:

Dividend / (Required Rate of Return - Dividend Growth Rate)

Given the dividend stream of $2.65, $5.15, and $4, we must first calculate the dividend growth rate.

The dividend growth rate is computed using the formula below:

Dividend Growth Rate = (Dividend in year 2 - Dividend in year 1) / Dividend in year 1= ($5.15 - $2.65) / $2.65= 94.34%

We are given that the dividends will begin declining at a rate of 7% for the foreseeable future.

As a result, we must decrease the dividend growth rate from 94.34% to 7%.

Next, we can now solve for the intrinsic value of the stock using the following equation:

Dividend / (Required Rate of Return - Dividend Growth Rate)Initial Dividend = $2.65

Dividend in year 1 = $5.15

Dividend in year 2 = $4

Required rate of return = 14%

Dividend growth rate = 7%

When we plug these values into the formula, we get:

2.65 / (0.14 - 0.07) + 5.15 / (1.14) + 4 / (1.14)²= $47.80

Therefore, the intrinsic value of this stock is $47.80 when the required return is 14%.

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Answer:

Parabola

Step-by-step explanation:

Answer:

HEY BABY

Step-by-step explanation:

9% of the volume of the original volume is removed.

Given that the dimensions of solid box is 15 cm by 10 cm by 8 cm.

So the volume of solid box = 15*10*8 cubic cm = 1200 cubic centimeter

The volume of the cube with side 3 cm = 3*3*3 = 27 cubic centimeter

For each corner one cube so the number of cube is 4

So total volume removed = 4*27 = 108 cubic centimeters

The percent of volume is removed = (108/1200)*100% = 9%

Hence the percentage of volume removed is 9%.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

Step-by-step explanation:

Let the total is x.

10% or total is 66, find x:

Answer:

Question 5: Reduction. 1/3

Question 6: Dilation. 2.5

Step-by-step explanation:

In 5 it's getting smaller, and it was 1/3 the size

In 6 it's getting bigger, and it was 2.5 times the size

pls brainliest :D

Answer:

Step-by-step explanation:

6

Answer:

6

Step-by-step explanation:

Let d1 be the distance of the first boat to the lighthouse.  Then

     tan(36) = 50/d1

or

     d1 = 50/tan(36) ≈ 68.819096023558677

Let d2 be the distance of the second boat to the lighthouse.  Then

     tan(25) = 50/d2

or

     d2= 50/tan(25) ≈ 107.225346025477931

107.225346025477931 - 68.819096023558677 ≈ 38 (to the nearest meter)

Answer:

arithmetic progression with d = 6

Step-by-step explanation:

If the progression has a common difference d between consecutive terms then it is arithmetic

a₂ - a₁ = - 6 - (- 12) = - 6 + 12 = 6

a₃ - a₂ = 0 - (- 6) = 0 + 6 = 6

a₄ - a₃ = 6 - 0 = 6

a₅ - a₄ = 12 - 6 = 6

There is a common difference of 6 between consecutive terms.

Thus the sequence is arithmetic

There are 302,400 number of ways to give three baseball tickets, three soccer tickets, and three opera tickets to nine friends.

To determine the number of ways to give three baseball tickets, three soccer tickets, and three opera tickets to nine friends, you can follow these steps:

1. First, we will distribute the three baseball tickets among the nine friends. Since there are nine friends, there are 9 ways to choose the first friend, 8 ways to choose the second friend, and 7 ways to choose the third friend. So there are 9 x 8 x 7 ways to distribute the baseball tickets.

2. Next, we will distribute the three soccer tickets among the remaining six friends who didn't get a baseball ticket. There are 6 ways to choose the first friend, 5 ways to choose the second friend, and 4 ways to choose the third friend. So there are 6 x 5 x 4 ways to distribute the soccer tickets.

3. Finally, we will distribute the three opera tickets among the remaining three friends who didn't get a baseball or soccer ticket. There are 3 ways to choose the first friend, 2 ways to choose the second friend, and 1 way to choose the third friend. So there are 3 x 2 x 1 ways to distribute the opera tickets.

4. Now, we multiply the number of ways to distribute each type of ticket to find the total number of ways to distribute all the tickets: (9 x 8 x 7) x (6 x 5 x 4) x (3 x 2 x 1) = 302,400.

So, there are 302,400 ways to give three baseball tickets, three soccer tickets, and three opera tickets to nine friends.

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The total number of ways to give the tickets is 9!/3!3!3! = 1680.

The total number of ways to give nine tickets to nine friends is 9! (9 factorial) which equals 362,880. However, since we have three types of tickets and each type has three tickets, we need to divide this number by the number of ways to arrange the three tickets of each type, which is 3! (3 factorial) for each type.

To solve this problem, we need to use the permutation formula which is n!/(n-r)!, where n is the total number of objects and r is the number of objects we need to choose. In this case, we have nine tickets and nine friends, so n = r = 9. Therefore, the total number of ways to give the tickets is 9!/9! = 1.

However, since we have three types of tickets and each type has three tickets, we need to divide this number by the number of ways to arrange the three tickets of each type, which is 3! for each type.

This is because we don't care which baseball ticket or soccer ticket or opera ticket each friend gets, we only care about how many of each type of ticket they get. Therefore, we need to divide the total number of ways by 3!3!3!. This gives us 1680, which is the final answer.

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Out of those who took the exam, 3/5 passed. So, 100 * 3/5 = 60 is the number of students passed the exam. Therefore, the correct answer is: c ) 60.

To solve this problem, we'll follow these steps:

Step 1: Determine the number of nursing students who were required to take the exam.

Since 1/2 of the nursing students were required to take the exam, we calculate: (1/2) * 200 = 100.

Step 2: Determine the number of students who took the exam.

Since all of the students who were required to take the exam actually took it, the number of students who took the exam is also 100.

Step 3: Determine the number of students who passed the exam.

Since 3/5 of those who took the exam passed, we calculate: (3/5) * 100 = 60.

University X required 1/2 of the 200 nursing students to take the exam, which means 200 * 1/2 = 100 students took the exam.

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A singleton set has only one element, and the number of proper subsets it has is 0.

A proper subset of a set A is a subset that is not equal to A itself. In other words, a proper subset is a subset that contains at least one element less than A. Since a singleton set has only one element, it is not possible to form a subset that has fewer elements than the original set. Therefore, the number of proper subsets of a singleton set is zero.

For example, if we have a singleton set containing the element {1}, then the only subset of this set is the set {1} itself, which is not a proper subset. Therefore, the singleton set {1} has zero proper subsets.

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Answer:

672

Step-by-step explanation:

40% of 480 is 192. Add that to the original price and you get 672

(a) The complete Venn diagram is in the image attatched.

(b) The probability that a number chosen from the universal set is a member of A ∩ B is  1/15 = 6.67 %.

The complete Venn diagram is calculated by applying the following formula.

The given elements of the set include the follow;

U = {odd numbers less than  30}

A = {9, 15, 17, 19 }

B = {5, 15, 25}

C = {9, 15, 21, 27}

The elements of A intercept B, A intercept C and B intercept C is ;

A ∩ B = {15}

A ∩ C = {9, 15}

B ∩ C = { 15}

A ∩ B ∩ C = { 15 }

(b) The probability that a number chosen from the universal set is a member of A ∩ B.

total number of samples in the universal set = {29, 27, 25, 23, 21, 19, 17, 15, 13, 11, 9, 7, 5, 3, 1}

= 15

P (A ∩ B) = 1/15 = 6.67 %

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