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3 years ago

Divide. ÷ A.8/15 B.5/6 C.1 1/5 D.1 7/8

Mathematics

1 answer:

poizon [28]3 years ago

6 0

I think the question that you posted is incomplete. Check it again and make sure you post with the correct information.

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Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. Ifpo

steposvetlana [31]

The two curves $y=x$ and $y=x^{1/15}$ intersect at $x=0$ and $x=1$ , with $x^{1/15}\ge x$ over $0\le x\le1$ .

Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$

6 0

3 years ago

There are two square roots of 25. Which best explains why there is only one answer for the radius of the button?

Brrunno [24]

5 times5 is the one 5 times itself is 25 hents 25

4 0

3 years ago

0.32 as a mixed number

torisob [31]

Answer:

Hi! The answer to your question is 0 8/25

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

6 0

2 years ago

Two groups went bowling. Here are the scores from each group.

vladimir2022 [97]

Answer:

Group A has greater variability

Step-by-step explanation:

Group A: 80, 100, 190, 110, 70, 90, 130

The variability of group A data :

Taking the range :

Maximum = 190 ; Minimum = 70

Range = Maximum - Minimum ; 190 - 70 = 120

Group B : 50, 110, 100, 120, 107, 140, 150

The variability of group B data :

Taking the range :

Maximum = 150 ; Minimum = 50

Range = Maximum - Minimum ; 150 - 50 = 100

Hence, Group A has greater variability

6 0

2 years ago

Can the sides of a triangle have lengths 3, 6, and 14?

fomenos

Answer:

No, the first two numbers have to be more than the last number when added up.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers