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Otrada [13]
3 years ago
11

Julio cubes a number then takes the cube root of the result. He ends up with 20. What number did Julio start with

Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Let us say that the number is x.

So the first step that Julio do is to cube the number so that:

x^3

Then the next he did was take cube root of the number, so that:

(x^3)^(1/3)

 

Solving this would result in:

x^(3/3) = x^1 = x

Since he ends up with 20, therefore:

x = 20

 

<span>Julio started and ended with the same number which is 20.</span>

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8 0
3 years ago
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velikii [3]

Answer: The scale factor is 4

Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is  13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

V_1=13,824ft^3\\V_2=216ft^3

By Similar solids theorem, if two similar solids have a scale factor of \frac{a}{b}, then corresponding volumes have a ratio of \frac{a^3}{b^3}

Then:

\frac{V_1}{V_2}=\frac{a^3}{b^3}

Knowing this, we can find the scale factor. This is:

\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4

3 0
3 years ago
A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
Margaret [11]

Answer:

Step-by-step explanation:

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Repeat another 4 times

8 0
3 years ago
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4 0
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Slide 1:

1. Solution = (-3,2)

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Slide 2:

3. Solution = (1, -6) ONE SOLUTION

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p.s i attached the graphs for problems 3 and 4. The first picture is for problem 3 and the second picture is for problem 4

I really hope this helped :)

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