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liq [111]
3 years ago
15

HELP PLEASE HURRY THANKS

Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

Step-by-step explanation:

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The surface area of a tabletop is 5760 square inches. What expression shows this number in scientific notation?
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Find the volumes of the solids generated by revolving the triangle with vertices (2, 2)​, (2, 6)​, and (5, 6) about ​a) the​ x-a
Vesna [10]
  • About the x-axis (washer method):

\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}

  • About the y-axis (shell method):

\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}

  • About x=7 (shell method):

\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}

  • About y=2 (washer method):

\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}

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3 years ago
How do I find the median for 77,82,87,85,32,78?
alisha [4.7K]

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80

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle

Arrange the data in ascending order ( smallest to largest )

32, 77, 78, 82, 85, 87

There is no value exactly in the middle, use the average

median = \frac{78+82}{2} = \frac{160}{2} = 80

5 0
2 years ago
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