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3 years ago

Is 12, 13 or 14 a solution of the inequality 4x>52?

Mathematics

1 answer:

shusha [124]3 years ago

6 0

14, 14 times 4 Equals 66, which is greater than 52. Hope this helps!

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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

2 years ago

5 questions

zzz [600]

This is a comment---

Are you acually in middle school because this is algebra 2 and im learning this now in High school

4 0

3 years ago

PLEASE HELP ME I NEED THIS ANSWER ASAP!!! What is the area of this figure?

AnnZ [28]

A i am sure i hope this helps

8 0

3 years ago

A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produce

Jobisdone [24]

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation:

The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.

Slope = $\frac{rise}{run}$

Slope = $\frac{150}{2}$

Slope = 75

Hope this helps!

6 0

3 years ago

Read 2 more answers

Given the two half-reactions, what must be done in the next step before the reaction can be balanced? First: upper A u superscri

kenny6666 [7]

In the first reaction, Gold (Au) gets 3 electrons and became Gold. In the second reaction, Iodine (I) loses 2 electrons and became Iodine.

<h3>What are cations and anions?</h3>

When the atom loses the election then it is called a cation and when it gains the electron is called an anion.

Two reactions are given.

First reaction;

Au³⁺ + 3e⁻ ⇒ Au

In the first reaction, Gold (Au) gets 3 electrons and became Gold.

Second reaction;

2I⁻ ⇒ I₂ + 2e⁻

In the second reaction, Iodine (I) loses 2 electrons and became Iodine.

More about the cation and the anion link is given below.

brainly.com/question/1659592

8 0

2 years ago