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2 years ago

Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

7 0

Answer:

Volume of the cube: $8n^{18}$

Step-by-step explanation:

A cube is a solid figure consisting of 6 squared faces arranged in a structure at right angle with each other.

The volume of a cube is given by:

$V=L^3$

where

V is the volume

L is the length of one side of the cube

In this problem, the length of the side of the cube is

$L=2n^6$

Therefore, the volume of the cube is

$V=(2n^6)^3 = 2^3 (n^6)^3 = 8n^{18}$

pickupchik [31]2 years ago

3 0

Answer:

Its A

Step-by-step explanation:

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BARSIC [14]

Calculate the volume of sand, the cone will be completely filled and the cylinder will have sand up to the 30 mm level.

Volume of sand will = the volume of the cone:
= 1/3 * pi * (6 mm)^2 * 15
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the cylinder will have a volume of sand equal to:
= pi * (6 mm)^2 * 30 mm
= pi * 36 sq mm * 30 mm
= 1080 pi cubic mm

The total sand is the sum:
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2 years ago

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Allushta [10]

Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

Accounts payable = $50,000

Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

= 120,000 × 40%

= $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000) × 40%

= $28,000

Calculate increase in retained dividend :

calculate the increase sales :

increased sales = 200,000 × (1 + 0.40)

= 280,000

calculate profit margin for next year on increase sales :

Profit margin on increased sales = 280,000 × 20%

= $56,000

Calculate retained earning :

Retained earning = profit - payout of profit

= 56,000 - ( 56,000 × 25% )

= 56,000 - 14,000

= $42,000

Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

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= -$22,000

Option B. is the answer.

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2 years ago

Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________

lora16 [44]

Answer: To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

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1 year ago

In each of Problems 5 through 10, verify that each given function is a solution of the differential equation.

WARRIOR [948]

Answer:

For First Solution: $y_1(t)=e^t$

$y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution: $y_2(t)=cosht$

$y_2(t)=cosht$ is the solution of equation y''-y=0.

Step-by-step explanation:

For First Solution: $y_1(t)=e^t$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_1(t)=e^t$

First order derivative:

$y'_1(t)=e^t$

2nd order Derivative:

$y''_1(t)=e^t$

Put Them in equation y''-y=0

e^t-e^t=0

0=0

Hence $y_1(t)=e^t$ is the solution of equation y''-y=0.

For 2nd Solution:

$y_2(t)=cosht$

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

$y_2(t)=cosht$

First order derivative:

$y'_2(t)=sinht$

2nd order Derivative:

$y''_2(t)=cosht$

Put Them in equation y''-y=0

cosht-cosht=0

0=0

Hence $y_2(t)=cosht$ is the solution of equation y''-y=0.

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