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motikmotik
3 years ago
8

1. Write the product using exponents. (1 point) 7.7.7

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

For this case we must rewrite the following expression:

7 * 7 * 7

We have that by definition of multiplication of powers of the same base, we place the same base and add the exponents, example:

a ^ n * a ^ m = a ^{ n + m}

So:

7 * 7 * 7 = 7 ^ {1 + 1 + 1} = 7 ^ 3

Thus, the expression is rewritten as 7 ^ 3, using exponents.

Answer:

7 * 7 * 7 = 7 ^ 3

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Step-by-step explanation:

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3 years ago
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What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?
Anvisha [2.4K]

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

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4 0
4 years ago
A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. find the height and radius of the cup that will use the
NemiM [27]

The formula for volume of cone is:

V = π r^2 h / 3

or

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Simplfying in terms of r:

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S = π r sqrt (h^2 + r^2)

S = π sqrt(108 / π h) * sqrt(h^2 + 108 / π h) 

S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h] 

Surface area = sqrt (108) * sqrt[(π h + 108 / h^2)] 

<span>Getting the 1st derivative dS / dh then equating to 0 to get the maxima value:</span>

dS/dh = sqrt (108) ((π – 216 / h^3) * [(π h + 108/h^2)^-1/2] 

Let dS/dh = 0 so,

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h = 4.10 cm

Calculating for r:

r^2 = 108 / π (4.10)

r = 2.90 cm

 

Answers:

 h = 4.10 cm

<span>r = 2.90 cm</span>

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