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3 years ago

5

Michael earns $6.50 an hour plus tips .Last night he received $36.50 in tips and earned a total of $65.75. How many hours did he

work?

2 answers:

Liono4ka [1.6K]3 years ago

8 0

$65.75-$36.50=$29.25
$29.25÷$6.50=4.5 hours
Michael worked 4.5 hours....

Ilya [14]3 years ago

5 0

Michael worked 6 hours

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Which of the following statements is true?

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slamgirl [31]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

• Method I:

y = cos² x

y = cos x · cos x

Differentiate it by applying the product rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
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The derivative of cos x is – sin x. So you have

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$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

—————

• Method II:

You can also treat y as a composite function:

$\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
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and then, differentiate y by applying the chain rule:

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and then you get the same answer:

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>

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3 years ago

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If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do: $\frac{smaller figure}{larger figure}$

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<em>(You should get the same number as long as the figures are similar.)</em>

<em />

Question #10:

Bottom edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{30}{24}$ = 1.25

<em>(There are no corresponding edges with measurements that we can compare.)</em>

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~Hope this helps!~

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