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KengaRu [80]
2 years ago
8

Find the volume of the rectangular prism. Write your answer as a fraction.

Mathematics
1 answer:
suter [353]2 years ago
8 0

Answer:

V = 8/125 cubic units

Step-by-step explanation:

This prism is actually a cube of side length 2/5.

The volume of a cube of side length s is V = s^3.

Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or

V = 8/125 cubic units

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614.40 because 204.80 divided by 4 is 51.20 and 51.20 multiplied by 12 is 614.40
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The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm. What is the approx
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Answer:

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Step-by-step explanation:

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Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13
Rama09 [41]

Answer:

common ratio: 1.155

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Step-by-step explanation:

The model for exponential growth of population P looks like: P(t)=P_i(1+r)^t

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and r is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and  initial population), and solve for the unknown common ratio and its related rate of growth:

P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

1+r=1.155273\\r=1.155273-1=0.155273

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

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Kipish [7]

Answer:

-10

Step-by-step explanation:

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