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laiz [17]
4 years ago
10

Find the midpoint of the segment with the following endpoints. (-8,7) and (0,1)

Mathematics
1 answer:
Mamont248 [21]4 years ago
6 0
(-8 + 0 / 2) (7 + 1 / 2)
(-8/2) (8/2)
(-4) (4)
Midpoint = (-4,4) [Answer]
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ПОЖАЛУЙСТА ПОМОГИТЕ РЕШИТЬ ДАЮ 23 ОЧКА!!!
posledela

(Простите, пожалуйста, мой английский. Русский не мой родной язык. Надеюсь, у вас есть способ перевести это решение. Если нет, возможно, прилагаемое изображение объяснит достаточно.)

Use the shell method. Each shell has a height of 3 - 3/4 <em>y</em> ², radius <em>y</em>, and thickness ∆<em>y</em>, thus contributing an area of 2<em>π</em> <em>y</em> (3 - 3/4 <em>y</em> ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ <em>y</em> ≤ 2, thus given by the integral

\displaystyle 2\pi \int_0^2 y \left(3-\frac34 y^2\right) \,\mathrm dy = 2\pi \left(\frac32 y^2 - \frac3{16} y^4\right)\bigg|_0^2 = 6\pi

Or use the disk method. (In the attachment, assume the height is very small.) Each disk has a radius of √(4/3 <em>x</em>), thus contributing an area of <em>π</em> (√(4/3 <em>x</em>))² = 4<em>π</em>/3 <em>x</em>. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ <em>x</em> ≤ 3, or by the integral

\displaystyle \pi \int_0^3 \left(\sqrt{\frac43x}\right)^2 \,\mathrm dx = \frac{2\pi}3 x^2\bigg|_0^3 = 6\pi

Using either method, the volume is 6<em>π</em> ≈ 18,85. I do not know why your textbook gives a solution of 90,43. Perhaps I've misunderstood what it is you're supposed to calculate? On the other hand, textbooks are known to have typographical errors from time to time...

8 0
3 years ago
in a game involving a pair of fair dice a player rolls the dice until he gets a sum of 7 let z equal the number of rolls it take
Anarel [89]

Answer:

z = 36 rolls , probability for getting 7 = 1/6

Step-by-step explanation:

A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.

The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

There the probability of getting a sum dice of 7 is:

= 6 / 36 = 1/6

8 0
3 years ago
Please help thank you!
Verizon [17]

Answer:

18/(10-7)+2=8

(48/2)-4^2 +2*2=12

I hope you have a nice day!

3 0
3 years ago
The mark obtained by Belij in an exam is 28 out of 40, express his obtained marks in percentage​
Brut [27]

Marks

= 28/40

= 28/40 × 2.5/2.5

= 70/100

= 70%

5 0
3 years ago
Read 2 more answers
In which division will the quotient be a three digit number ?
ruslelena [56]

Answer:

b)612÷6

Step-by-step explanation:

6)612(102

-6

01

- 0

12

-12

0

=102

5 0
3 years ago
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