What are the largest numbers for each of the following sums of three consecutive numbers: n Correct answer is brainliest

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

If John has 1107 bars of chocolate and wants to give each of his 10 friends an even amount each, what would each friend get? Wha

Nutka1998 [239]

Divide 1107 by 10, for example:

1107/10= 110.7

The decimal point means the remainder, this means John will only get 7 chocolate bars.

If You want it split evenly between ALL of them, divide by 1107 by 11, for example:

1107/11= 100.6, which would leave six bars left, so I think the logical offer would be the first answer I gave you.

I hope this helped!

7 0

3 years ago

A group of volunteers for a clinical trial consists of 86 women and 79 men. 20 of the women and 21 of the men have high blood pr

Irina18 [472]

Answer:

Dear user,

Answer to your query is provided below

Probability that the person has high blood pressure given that it is a women = (20/41)

Step-by-step explanation:

Total no. Of high blood pressure = 20+21 = 41

Total no. Of women with high pressure = 20

Probability = 20/41

4 0

3 years ago

Solve the compound inequality,

Feliz [49]

Answer:

$\large\boxed{y\in(-6,\ \infty)}$

Step-by-step explanation:

$(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6$

$(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4$

$\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)$

7 0

4 years ago

Quadrilateral KLMN is similar to quadrilateral WXYZ, Which statement about these quadrilaterals must be true?

VARVARA [1.3K]

Answer:angle nkl is congruent to angle zwx

Step-by-step explanation: it is equal so it matches

7 0

3 years ago