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Lunna [17]
3 years ago
10

Which of the following is a perfect cube? A. 243 B. 143 C. 443 D. 343

Mathematics
2 answers:
seropon [69]3 years ago
3 0

Answer:

D. 343

Step-by-step explanation:

The cube root of 343 is seven.

Lyrx [107]3 years ago
3 0

Answer:

D. \: 343

Step-by-step explanation:

Hope this helps!

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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. If​po
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
Three balls are selected at random without replacement from an urn containing two white balls and four blue balls. Find the prob
guapka [62]

<u>Answer:</u>

P(3 blue) = 1/5

<u>Steps:</u>

P(3 blue) = 2/3 × 3/5 × 1/2

P(3 blue) = 6/30

P(3 blue) = 1/5

<em>that's 20%</em>

4 0
3 years ago
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, ​ 1.5 pounds of grapes, and a watermelon that weighed 6.78 p
Anit [1.1K]

Answer:

10.54 pounds is right answer

Step-by-step explanation:

bananas 2.26  pounds

Grapes  1.5 pounds

water melon 6.78 pounds

total weight = 10.54 pounds

6 0
3 years ago
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A reel of electrical cable holds 80 metres when full.
kaheart [24]
I3/I6(8O)= 65m of electrical cable left
6 0
3 years ago
And another MATH question. There more after this one too just to let you know! I suck at math PLEASE HELPPPPPPPPPP
love history [14]

Answer:

11 hours babysitting

7 hours music lesson

Step-by-step explanation:

(11*5) + (7*12) = 139

6 0
3 years ago
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