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Vladimir79 [104]
3 years ago
6

Stella buys a one-pint bottle of juice for $2.72. What is the unit rate of the

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer: 0.17

Step-by-step explanation:

If she bought one pint of juice and there are 16 fluid ounces in one pint then you would take 2.72 the cost of it and divide ut by 16. So, 2.72/16 which is 0.17.

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Ms. Martino always gives a very easy 10-question quiz in the first week of her classes. Over the years, the number of questions
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Skewed Left

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When two numbers are not equal, an a0 is a sentence that uses the symbols &gt;, &lt;, ≥, ≤, or ≠ to show a relationship.
Naddik [55]

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what are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x- pi) from x = 0 to x= 2 pi?
julsineya [31]

Answer:

\frac{\pi }{2} and \frac{3\pi }{2}

Step-by-step explanation:

To find the max points we need to take the derivative of the function and then find the critical values.

First we take the derivative:

f(x) = 4cos(2x-\pi )\\f'(x)=-4sin(2x-\pi )(2)\\f'(x)=-8sin(2x-\pi )\\

Now we need to find when f'(x)=0 to find the critical values.

0=-8sin(2x-\pi )\\0=sin(2x-\pi )\\sin^{-1}0=2x-\pi \\0=2x-\pi \\\pi =2x\\\frac{\pi }{2} =x

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\frac{\pi }{2} n for any integer n

between 0 and 2 pi, the critical values will be

0, \frac{\pi }{2} ,\pi ,\frac{3\pi }{2},2\pi

We can determine if these are minimums or maximums by using the second derivative test.

So we need to take the second derivative;

f'(x)=-8sin(2x-\pi )\\f''(x) = -8cos(2x-\pi )(2)\\f''(x)=-16cos(2x-\pi)

We need to see if the second derivative is positive or negative to determine if it is a max or min.

f''(0) = 16\\f''(\frac{\pi}{2})=-16\\f''(\pi )=16\\f''(\frac{2\pi}{3}) = -16\\

Since the second derivative is negative at

\frac{\pi }{2} and \frac{3\pi }{2}

we know both of those are the x-values of maximums.

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The line y<br> =<br> - 12 has an undefined slope.<br> (True or false?)
likoan [24]

Answer: its slope is 0 so false

Step-by-step explanation:

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Can someone please help me with this easy math problem?
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