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allsm [11]
4 years ago
9

A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note

that the volume of a cube a square is s(2) , where is the side length. Explain.
Mathematics
1 answer:
Mariulka [41]4 years ago
6 0

Answer:

The difference between their volumes is 237.375ft^3

Step-by-step explanation:

The attachment completes the question.

For cube 1:

s_1 = 8ft

For cube 2:

s_2 = 6.5ft

Required

The difference in their volumes

First, we calculate the volume of box 1

V_1 = s_1^3

Substitute 8 for s1

V_1 = 8^3

V_1 = 512ft^3

Next, we calculate the volume of box 2

V_2 = s_2^3

Substitute 6.5 for s2

V_2 = 6.5^3

V_2 = 274.625ft^3

The difference is then calculated as:

Difference = |V_1- V_2|

Difference = |274.625- 512|

Difference = |-237.375|

Difference = 237.375

Hence, the difference between their volumes is 237.375ft^3

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Hayden invested $750 for 3 years at an interest rate of 0.035 how much interest did he earn in that time
4vir4ik [10]

Answer:

78.75 (simple)    81.54 (compound)

Step-by-step explanation:

Simple interest without compounding : I = P * (1 + rt) -P  

I: interest         P: primary investment       r: annual rate   t: time in year

I = =750 * (1+ 0.035*3) -750 =  78.75

Compound interest      I = (P *(1 +r)^ t)-P

I' = 750*(1+0.035)*(1+0.035)*(1+0.035) - 750 = 81.54

7 0
3 years ago
Please help me round to nearest hundredth
Masteriza [31]

Answer:

  (a) 2.27 lb/$

  (b) 0.10 mi/min

Step-by-step explanation:

<h3>(a)</h3>

Pounds per dollar is found by dividing pounds by dollars:

  (25 lb)/($11.00) ≈ 2.272727... lb/dollar

The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.

  2.27 pounds per dollar

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<h3>(b)</h3>

Speed in miles per minute is found by dividing miles by minutes:

  (6 mi)/(58 min) ≈ 0.103448... mi/min

Rounding to hundredths is done the same way as above.

  0.10 miles per minute

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If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.

5 0
3 years ago
Can anybody tell the answer of -12xy+4xy<br> Step By Step because I am really confused.
UkoKoshka [18]
-12xy+4xy
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5 0
3 years ago
Which pattern folds into the triangular prism above?
netineya [11]

Answer:

the answer will be the letter Y

Step-by-step explanation:

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7 0
4 years ago
How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer
Lera25 [3.4K]

The question is incomplete, the complete question is;

If in 0.5 min the tank gets 0.8 gallons of the water then

how many gallons will be in 1 min ?

how many gallons will be in 3 min?

and how long it takes for 40 gallons?

Answer:

1.6 gallons

4.8 gallons

25 mins

Step-by-step explanation:

This question has to do with proportion.

If it takes 0.5 mins for the tank to get 0.8 gallons

in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons

In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons

if it takes 1 min to get 1.6 gallons

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x = 1 * 40/1.6 = 25 mins

5 0
3 years ago
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