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Jobisdone [24]
3 years ago
6

If a shoebox measures 6 cm high, 7 cm wide, 20 cm long, what is its volume?

Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer:

420cm cubed

Step-by-step explanation:

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Determine the next step for solving the quadratic equation by completing the square.
Studentka2010 [4]

Answer:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

Step-by-step explanation:

we have

0=-2x^{2}+2x+3

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-3=-2x^{2}+2x

Factor the leading coefficient

-3=-2(x^{2}-x)

Complete the square. Remember to balance the equation by adding the same constants to each side.

-3-0.5=-2(x^{2}-x+0.5^{2})

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Rewrite as perfect squares

-3.5=-2(x-0.5)^{2}

7/4=(x-0.5)^{2}

square root both sides

x-0.5=(+/-)\sqrt{\frac{7}{4}}

x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}

x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}

x=\frac{1+\sqrt{7}}{2}

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4 0
3 years ago
Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number
Sladkaya [172]

Answer:

B=2\times 3^n

Step-by-step explanation:

<u>Exponential Growing </u>

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By the second year, he should read

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By the third year, he should read

2*3^3 = 54\ books

We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n

\boxed{B=2\times 3^n}

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The answer is d) 0 and 1.
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