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sveticcg [70]
3 years ago
13

Simplify: 3^2 · 3^4 A) 3^6 B) 3^8 C) 3^2 D) 9^6

Mathematics
1 answer:
bonufazy [111]3 years ago
8 0
A. If you're adding numbers with exponents with the same base, keep the same base and add the values of the exponents together.

3^2 * 3^4 = 3^(2+4) = 3^6
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on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several q
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Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.

The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.

In this problem:

  • In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is \frac{21}{25} = 0.84.
  • In the next n observations, mean of 1.

Hence, the mean is:

M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}

We want the mean to be of 0.9, thus:

M = 0.9

\frac{4.2 + n}{5 + n} = 0.9

4.2 + n = 0.9n + 4.5

0.1n = 0.3

n = \frac{0.3}{0.1}

n = 3

3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.

A similar problem is given at brainly.com/question/25323941

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3 years ago
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V125BC [204]
Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

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3 years ago
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I believe it would be D.
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