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Nostrana [21]
1 year ago
12

Leo reads 14 pages in 1/3 hourWhat is the unit rate for pages per hour

Mathematics
1 answer:
pogonyaev1 year ago
7 0

To determine the unit rate of pages, that is, the number of pages Leo reads in one hour you can use cross multiplication

1/3h _____14 pages

1h______x pages

\begin{gathered} \frac{14}{\frac{1}{3}}=\frac{x}{1} \\ 14\cdot3=x \\ x=42 \end{gathered}

Leo reads 42pages/hour

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Step-by-step explanation:

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Laptops that sell for $660 are on sale with a percent discount of 7%. Find the sale price. Round your answer to the nearest cent
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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line
anastassius [24]

The volume generated by rotating the given region R_{3} about OC is \frac{4}{g}  \pi

<h3>Washer method</h3>

Because the given region (R_{3}) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

y=2(x)^{\frac{1}{4} }

x=(\frac{y}{2} )^{4}

y=2x

x=\frac{y}{2}

\int\limits^a_b {\pi } \, (R_{o^{2} }  - R_{i^{2} } )       dy

R_{o} = x = \frac{y}{2}

R_{i} = x= (\frac{y}{2}) ^{4}

a=0, b=2

v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} )  dy

v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }}  ] dy

v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]

v=\pi [\frac{1}{4} \frac{y^{3} }{3}  \int\limits^2_0 - \frac{1}{2^{8} }  \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0
1 year ago
The quotient of a number and 3 is 9.
solong [7]
I need help my self lol
8 0
2 years ago
Read 2 more answers
your mother gave you 14.28 with which to buy a present. this covered 3/4 of the cost. how much did the present cost?
saul85 [17]

$19.04. If your mom gave you $14.28, and it only covered 3/4 of the cost, you have to first find 3/4 as a percentage, and then put it into a decimal. It would be 0.75. So then you have to divide 14.28÷0.75. It turns out to be $19.04.

8 0
2 years ago
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