a) Simplify
X-2
7(x - 2)2

We have been given that two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. We are asked to find the height of M.

First of all, we will find the ratio between sides of rectangle M and N using proportions.

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{ Volume of N}}{\text{ Volume of M}}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{136\text{ cm}^3}{17\text{ cm}^3}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{8\text{ cm}^3}{1\text{ cm}^3}\)

Now we will take cube root on right side to find length in cm.

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\sqrt[3]{\text{8 cm}^3}}{\sqrt[3]{\text{1 cm}^3}}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{2 cm}}{\text{1 cm}}\)

Therefore, sides of rectangle N is 2 times greater than sides of rectangle M.

To find height of rectangle M, we will divide side of rectangle N by 2.

\(\text{Height of rectangle M}=\frac{18}{2}=9\)

Therefore, height of rectangle M is 9 cm.

Answer:

3 two foot and 3 four foot

Step-by-step explanation:

In order to find how many of each he used, you have to find how much pipe in total with the options that were given you.

(3*2)+(3*4)=6+12=18 feet of pipe

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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Answer:

Kiki earned $614 in three days.

Step-by-step explanation:

Given that:

Per day salary of Kiki = $150

Commission = 8% of sales

Worth of sold items = $350+$500+$1200 = $2050

Amount of commission = \(\frac{8}{100}*2050\\\)

Amount of commission = 0.08*2050 = $164

Total amount earned in three days = Base salary per day * Number of days + Commission

Total amount earned = 150*3 + 164

Total amount earned = 450 + 164 = $614

Hence,

Kiki earned $614 in three days.

Answer:

614

Step-by-step explanation: please mark brainliest

The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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the NPV of the ambulance, rounded to the nearest dollar, is approximately $10,731. Option b

To calculate the NPV (Net Present Value) of the ambulance, we need to determine the present value of the net cash flows over the five-year period.

The formula for calculating NPV is:

NPV = (Cash Flow / (1 + r)^t) - Initial Investment

Where:

Cash Flow is the net cash flow in each period

r is the required rate of return

t is the time period

Initial Investment is the initial cost of the investment

In this case, the net cash flow per year is $50,000, the required rate of return is 9%, and the initial cost of the ambulance is $200,000.

Using the formula, we calculate the present value of each year's cash flow and subtract the initial investment:

NPV =\((50,000 / (1 + 0.09)^1) + (50,000 / (1 + 0.09)^2) + (50,000 / (1 + 0.09)^3) + (50,000 / (1 + 0.09)^4) + (75,000 / (1 + 0.09)^5) - 200,000\)

Simplifying the equation, we find:

NPV ≈ 10,731

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Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Answer:

the first option is correct:  t(n) = 125(\(\frac{1}{5}\))ⁿ

Step-by-step explanation:

Answer:

40.63

8+5= 13 put the 1 over the 2 gives you 3, 3+3 = 6, 9+1 = 10 put the 1 over 3 which makes it 4 then you have your answer

Answer:

D

Step-by-step explanation:

When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.

Answer:

D.) 16

Step-by-step explanation:

Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Given

Find

Express as a single term

Explanation

now,

Final Answer

Therefore, the single expression is

Answer:

96

Step-by-step explanation:

year 1: 6

year 2: 12

year 3: 24

year 4: 48

year 5: 96

Answer:

96

Step-by-step explanation:

Answer:

1. 12/35 ft²

2. 9/20mile²

3. 1/4 meter²

4. 7/40in²

5. 18/35ft²

6. 3/16mile²

1: is 12/35 2: is 9/20 3: is 1/4 4: 7/40 5: 18/35 6: 3/16

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:

Given the sequence:

You need to remember that:

- In a Geometric Sequence, each term is found by multiplying the previous term by a constant called "Common ratio".

- In an Arithmetic Sequence, the difference between a term and its previous term is constant.

In this case, you can check if it is a Geometric Sequence by dividing the terms by the corresponding previous term:

It is not a Geometric Sequence, because it does not have a Common Ratio.

To check it if is an Arithmetic Sequence, find the difference between the terms:

As you can see, it is not an Arithmetic Sequence, because the difference between the terms is not constant.

Then, the sequence is neither geometric nor arithmetic.

Knowing this, you need to find a Recursive Formula for the sequence. You can identify that:

However, as you can notice, there is not a defined pattern between the terms shown in the exercise. Therefore, it cannot be solved.

Therefore, you can determine that the answer is: It is a Recursive Pattern. It cannot be solved.

Answer:

0

Step-by-step explanation:

The total number of events is

45+37+52+94+72 = 300

P(purple) = purple/total

               = 0/300

                 =0

The solution of given expression 12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y after evaluation is 14.5 .

The given expression is 12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y.

We have x = 2 and y = -2 as per the question.

To evaluate the expression, first we need to simplify the given expression and then we can substitute the given value of  x and y in simplified expression.

The given expression can be simplified as,

   12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y

⇒ 9x - (1/2)y - 3x - (3/4)y

⇒ 6x - ((1/2)+(3/4))y

On taking LCM of coefficient of y, we will get

6x - (5/4)y

Now on substituting x = 2 and y = -2, we get

6(2) - (5/4)(-2)

= 12 + (5/2)

= 29/2 = 14.5

The solution of given expression 12(3/4)x - (1/2)y - 6(1/2)x - (3/4)y after evaluation is 14.5 .

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The appropriate hypothesis test for this scenario is the paired t-test.

The paired t-test is used when we have paired or matched observations, such as in this case where each rat is tested twice (with and without the drug). The test compares the mean difference between the paired observations to determine if there is a significant difference.

In this study, the researcher is interested in whether the drug affects appetite in rats, and the number of times each rat climbed the slope (feeding behavior) is recorded for both the drug and no drug conditions. The goal is to compare the mean difference in feeding behavior between the two conditions.

Since the data are not normally distributed, non-parametric tests such as the Mann-Whitney test, sign test, or Wilcoxon-signed rank test are not suitable in this case. The paired t-test is a parametric test that can still be used as long as the assumptions of the test are met, even if the data are not normally distributed.

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The inverse square law is given below.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Inverse square law states that the intensity of the radiation is inversely proportional to the square of the distance.

If intensity = I and distance = x

Then

I ∝ 1/x²

Thus,

The inverse square law is given above.

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Step-by-step explanation:

the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer

The x- and y-intercepts of the function f(x) = 2x² + x + 5 is A.

we put x as equal to 0 first and we get y = 5 (y=f(x))

once we get y = 5 we can replace it in the equation and we get 2x^2+x=0 solving the quadratic equation, we get x=0, -1/2

The quadratic equation can be solved by taking x common then we are left with (2x+1).

the x we take common is equal to 0

(2x+1) = 0 gives x=-1/2

hence the x intercept = -1/2, 0 and y intercept =5

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Conservation of number, which is the understanding that the quantity of an object remains the same even if its appearance or arrangement changes.

Four-year-old Dimitri has not acquired the concept of conservation.

Conservation refers to the understanding that certain properties of objects, such as quantity, remain the same even when their appearance changes, as long as nothing is added or removed.

In this case,

Dimitri incorrectly believes that increasing the spacing between nickels in one row results in more nickels, failing to understand that the quantity remains the same.

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9514 1404 393

Answer:

  p = 20

Step-by-step explanation:

Collecting terms gives ...

  (4/5 -3/5)p - 4 = 0

  1/5p - 4 = 0

Multiplying by 5, we get ...

  p - 20 = 0

Then, adding 20 gives the solution:

  p = 20

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

Answer:

Let's do this step by step

Since there are 72 apples, the pears are 3 times as much. So multiply by 3

\(72 * 3=216\)

So there would be 216 pears.

Now for Kiwis

They are 2 times as much, Multiply by 2

\(72 *2=144\)

All together with the kiwi and the pears are

\(216+144=360\)

And all the fruits together it would be

432

Hope this helps

Answer by

Fishylikeswater

The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.

Number of apples = 72 apples

Number of kiwis = 2 × 72

= 144 kiwis

Number of pears = 72 × 3

= 216 pears

Therefore, Peggy has 144 kiwis

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Answer:

Radius

Step-by-step explanation:

On the circle here, means on the boundary of the circle(i.e on its circumference)

Hence, it is called radius

Hello.

The distance from the center to any point on the circle is called the radius.

Answer:

y. 100

------ = -------

600. 120

120y= 60000

y = 60000÷ 120

= $500

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10