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3 years ago

Simply (-8.5)(-5)(-2). Help 21 POINTS

Mathematics

2 answers:

Serggg [28]3 years ago

6 0

(-8.5)(-5)(-2)

= (-8.5)(10)

= -85

answer

- 85

kirill115 [55]3 years ago

3 0

To simplify this, we just have to multiply each of these values together. We don't have to worry about the order--we just have to multiply them correctly.

To help us multiply these values more easily, we can multiply -5 and -2 to get 10. Since it's each to multiply things by ten (you just move the decimal point one place to the right).

Now we have to multiply -8.5 and 10. Moving the decimal point one place to the right, we get our answer of -85.

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Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

2 years ago

There are two paths that one can use to go from Sarah’s house to James’ house. One way is to take C street, and the other way re

Anastaziya [24]

Answer:

2.5 < 3.5, 3.5 – 2.5 = 1.

C street is shorter by 1 mile

3 0

2 years ago

Can u help me find the area

kirill115 [55]

Answer:

640 units squared

Step-by-step explanation:

The shape below is a trapezoid.

The formula for the area of a trapezoid is average of the bases times the height.

The bases are the parallel lines that make up 2 of the sides of the trapezoid.

The height is the line dotted line that creates right angles and is the distance between the two bases.

The bases are 24 and 40.

To find the average, we add them together and divide by 2

(24+40)/2=64/2=32

Now, we multiply 32 by the height, which is given as the length of 20.

32*20=640

the area of the trapezoid is 640 units squared

Hope this helps!

6 0

2 years ago

Which is the least expensive per oz? 12 oz for $5.28 or 18 oz for $7.96. round to the nearest cent?

blondinia [14]

5.28 / 12 = 0.44 per oz
7.96 / 18 = 0.4422 rounds to 0.44 per oz

technically, by rounding to the nearest cent, they are the same cost.

6 0

2 years ago

Read 2 more answers

Given a = -3, b=4 and c= -5, evaluate a + b + c.<br> 04<br> 0-6<br> -12

Rainbow [258]

Answer: 0 - 4

Step-by-step explanation:

0 - 4 = -4

-3 + 4 = 1

1 - 5 = -4

6 0

3 years ago

Read 2 more answers