Let “t” represent the number of minutes Martha exercises each day. If she needs to exercise *at least* 30 minutes, t has to be equal to or greater than 30, so our inequality would be

t ≥ 30

4 0

3 years ago

Find f'(x) if f(x) = (2/(x^1/3)) + 3 cos x + x^pi

galben [10]

The derivative of $f$ is

$f'(x)=\left(2x^{-1/3}+3\cos x+x^\pi\right)'$

$f'(x)=\left(2x^{-1/3}\right)'+(3\cos x)'+\left(x^\pi\right)'$

By the power rule,

$f'(x)=-\dfrac23x^{-4/3}+(3\cos x)'+\pi x^{\pi-1}$

The derivative of $\cos x$ is $-\sin x$ :

$f'(x)=-\dfrac23x^{-4/3}-3\sin x+\pi x^{\pi-1}$

3 0

3 years ago

what is the total cost of a pair of shoes for 78.95 in two sweaters at 36.99 each with a 7% sales tax

Llana [10]

Hello!

The Question asked is simpler then you may expect! All you need to do is multiply the two numbers by 1.07 to find the answer which is,

$84.48 <em>and </em>$39.58

if the question is asking for them to be combined it would be $124.06.

<h3>Hope this helps!</h3>

3 0

2 years ago

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