3 years ago

Item 3 Simplify $\left(s^{-5}\right)^3$ . Write your answer using only positive exponents.

Mathematics

1 answer:

Alex Ar [27]3 years ago

7 0

Answer:

s^-15

Step-by-step explanation:

Given the expression

(S^-5)³

= s^5 × s^-5 × s^-5

= s^{-5-5-5}

= s^-15

Hence the resulting expression is s^-15

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damaskus [11]

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Divide both sides by 0.3,
0.3x / 0.3 ≥ 0.6/0.3
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Answer:

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Step-by-step explanation:

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One factor of x^3+x^2-14x-24 is x-4. Finding the remaining factors and it’s not -3

iren2701 [21]

Step-by-step explanation:

x³ + x² − 14x − 24

x³ + x² − 20x + 6x − 24

x (x² + x − 20) + 6 (x − 4)

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(x (x + 5) + 6) (x − 4)

(x² + 5x + 6) (x − 4)

(x + 2) (x + 3) (x − 4)

The other two factors are x + 2 and x + 3.

4 0

3 years ago

You provide a dog-walking service, and you report to the owners on the amount of exercise their dogs get on the walks. You walke

Neporo4naja [7]

Answer:

D. $2\frac{4}{7}\text{ mph}$

Step by step explanation:

First of all we will convert our given time from minutes to hour by dividing 35 by 60.

$35 \text{ minutes}=\frac{35}{60} \text{ hours}$

Let us find speed of dog during walk.

$\text{Speed of dog}=1.5 \div \frac{35}{60}$

Dividing a number by a fraction is same as multiplying the number by the reciprocal of the fraction.

$\text{Speed of dog}=1.5\times \frac{60}{35}$

$\text{Speed of dog}=\frac{1.5\times 60}{35}$

$\text{Speed of dog}=\frac{90}{35}$

$\text{Speed of dog}=\frac{18}{7}$

$\text{Speed of dog}=2\frac{4}{7}$

Therefore, speed of dog is $2\frac{4}{7}\text{ mph}$ and option D is the correct choice.

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4 years ago