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Ber [7]
3 years ago
13

A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a sto

rage container for the prism that has a volume of 35 cubic centimeters. What is the difference between the volume of the prism and the volume of the storage container?
Mathematics
2 answers:
Anna007 [38]3 years ago
6 0
First we must find the volume of the rectangular prism.
 We have then:
 V = (l) * (w) * (h)
 Where,
 l: long
 w: width
 h: height
 Substituting the values we have:
 V = (2 1/2) * (2 1/2) * (5)
 V = 31.25 cm ^ 3
 The difference between the container and the prism is:
 35-31.25 = 3.75 cm ^ 3
 Answer:
 the difference between the volume of the prism and the volume of the storage container is:
 3.75 cm ^ 3
SCORPION-xisa [38]3 years ago
6 0

Answer:

the difference between the volume of the prism and the volume of the storage container is:

3.75 cm ^ 3

Step-by-step explanation:

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2y(n) + xy(n) + ny(n - 1) = 0

Let x = 0: 2y(n) + ny(n - 1) = 0

2y(n) = -ny(n - 1)

∴ y(n) = -ny(n - 1)/2 for n ≥ 1

For n = 1: y = 0

For n = 2: y(1) = -y

For n = 3: -3y(2)/2

For n = 4: -2y(3)

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2 years ago
What is 4 square root of 81 to the fifth power in exponential form
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B is the answer.

Step-by-step explanation:

x^{\frac{m}{n} }  = \sqrt[n]{x^{m} }  

\sqrt[4]{81^{5} } =  81^{\frac{5}{4} }

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Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

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g = Growth rate

D = $50,000

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r = 7/100

r = 0.07

g = 4%

g = 4/100

g = 0.04

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PV = $50,000/0.03

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So the Present Value of the perpuity is $1,666,666.67

4 0
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he following data set shows the number of dogs counted in a local park each Saturday for 4 months. 33, 36, 31, 37, 37, 38, 31, 3
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General Idea:

To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.

Applying the concept:

33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38

Listing the data in ascending order we get

31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38

We need to plot <u>three </u>circles above 31, <u>one</u> circle above 32, <u>two</u> circles above 33, <u>one</u> above 35, <u>two </u>above 36, <u>three </u>above 37, and <u>three</u> above 38.

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2 years ago
Read 2 more answers
Peter's salary is twice Anne's salary and half of David's salary. Then the average salary of Anne and David is _ of Peter's sala
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<h3><u>Answer:</u></h3>

Average of salary of Anne and David is 1.25 of Peter's Salary

<h3><u>Explanation:</u></h3>

In the question, relations between salaries of Peter, Anne, and David is given. From the given relations, we need to make few equations and calculate the average of Anne and David in terms of Peter's Salary.

Let us assume Peter's Salary as P.

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Average = 1.25 \times P

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