Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

8 0

2 years ago

What is the perimeter of a swimming pool that is 97 feet in length and 17 feet wide?

Lubov Fominskaja [6]

Answer:

228 ft

Step-by-step explanation:

P = 2(l+w)

We know the length is 97 and the width 17

P = 2(97+17)

= 2(114)

=228

6 0

2 years ago

Read 2 more answers

Nathan usually drinks 38 ounces of water per day. He read that he should drink 60 ounces of water per day. If he starts drinking

lesya692 [45]

Answer:

$58\%$

Step-by-step explanation:

First, we need to find how much extra water Nathan drinks.

$60-38=22$ extra ounces.

To find the percent increase:

$\frac{22}{38} =58\%$ (to the nearest percent)

Hope this helps :)

7 0

2 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

vredina [299]

Answer:

$6t + \frac{t^2}{2}+2/5t^{5/2} + C$

Step-by-step explanation:

Given the expression;

g(t) = 6 + t + t²/√t

This can be rewritten as;

g(t) = 6 + t +t²/t^1/2

g(t) = 6 + t +t^{2-1/2}

g(t) = 6 + t +t^3/2

Integrate the result

$\int\limits {(6 + t+t^{3/2}}) \, dt\\$

Using the formula x^{n+1}/n+1

$\int\limits {(6 + t+t^{3/2}}) \, dt\\ = 6t + \frac{t^2}{2}+\frac{t^{3/2+1}}{3/2 + 1} \\ = 6t + \frac{t^2}{2}+\frac{t^{5/2}}{5/2} \\= 6t + \frac{t^2}{2}+2/5t^{5/2} + C$

5 0

2 years ago