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Phoenix [80]
2 years ago
8

PLEASE HELP 25 POINTS!

Mathematics
1 answer:
patriot [66]2 years ago
3 0

Answer:

46,666

Step-by-step explanation:

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3 years ago
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
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I think the answers True hope this helps
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You are at a concert and the seating area is shown below. Suppose you think each person takes up 2 square feet, estimate the att
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Answer:

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Step-by-step explanation:

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Simplify The expression <br> -5/8 (-3/8 - 1/4)
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Answer:

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Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

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2 years ago
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