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2 years ago

Cuanto me da como resultado

Mathematics

1 answer:

Likurg_2 [28]2 years ago

4 0

Step-by-step explanation:

1) $(-4)^2{\cdot}(-4)$

We know that, $a^x{\cdot}a^y=a^{x+y}$

$(-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64$

2) $(-2)^5{\cdot} (-2)^3$

Again using above property,

$(-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256$

3) $5^{-3}$

We know that,

$a^{-x}=\dfrac{1}{a^x}$

So,

$5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}$

4) $2.5^2=2.5\times 2.5\\\\=6.25$

Hence, this is the required solution.

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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 y ², radius y, and thickness ∆y, thus contributing an area of 2π y (3 - 3/4 y ²). The total volume of the solid is going to be the sum of infinitely many such shells with 0 ≤ y ≤ 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 x), thus contributing an area of π (√(4/3 x))² = 4π/3 x. The total volume of the solid is the sum of infinitely many such disks with 0 ≤ x ≤ 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 6π ≈ 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...

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3 years ago

Write the nth term of the following sequence in terms of the first term of the sequence.

vovikov84 [41]

Givens

Sequence 2, - 4, 8, -16, 32 ....

First term = a = 2

Problem

Find the nth term

tn = (-1 )^(n -1) * (a)^n answer or

tn = (-1)^(n - 1) * 2^n

where a is defined as the first term (it usually is given that designation).

Try a few to make sure the formula is correct

n = 1

t1 = (-1)^(1 - 1) * 2^1

t1 = (-1)^0 * 2

t1 = 1 * 2 = 2

n =2

t2 = (-1)^(2 - 1) * 2^2 = (-1)^1 * 4 = -4

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2 years ago

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Sunny_sXe [5.5K]

If you distribute the 6(x-2) you would get 6x-12 so zero would equal zero

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2 years ago

The walls of a square room need painting. each of the four walls is 12ft wide by 8.5 feet tall. one gallon of paint covers 75fts

miv72 [106K]

The surface to be paint is 4 * 12*8.5= 408 ft squared

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3 years ago

Monica has 2 gallons of milk to make milkshakes. Each milkshake contains 1 cup of milk. There are 128 ounces in 1 gallon and 8 o

OlgaM077 [116]

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Step-by-step explanation:

The first thing to do is to convert the gallons of milk to milkshakes so that you are able to convert easier to cups.

There are 128 ounces in 1 gallon and Monica has 2 gallons. The amount of milk Monica has in ounces is:

= 128 * 2

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= 256 / 8

= 32 cups of milk

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3 years ago