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3 years ago

6

An open box with a square base is to be made from a square piece of cardboard 12 inches on a side by cutting out a square from e

ach corner and turning up the sides. what is the volume of the box if a 3-inch square is cut out?

1 answer:

const2013 [10]3 years ago

8 0

36 is your answer hope this helps

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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

the equation 4(x+9)=76 models this situation which choice shows the sequence of operations neede to slove this problem using bot

laiz [17]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4(x+9)=76 Equation/Question

Step 2

4(x+9)=76 Remove parenthesis by multiplying 4

4x+36=76

Step 3

4x+36=76 Subtract 36 from sides

4x=40

Step 4

4x=40 Divide sides by 4

answer

x=10

Hope this helps

5 0

2 years ago

How do you find the selling price for a video game that cost $16 to make and is then marked up 400%?

lisabon 2012 [21]

Answer:

80

Step-by-step explanation:

First find the markup

markup = 16 * 400%

= 16*4.00

= 64

Add the markup to the original price

new price = original price + markup

=16+64

=80

6 0

2 years ago

Plz hurry hurrrrrrrrrrrrrrrrry

SIZIF [17.4K]

It is C parallelogram and rumbus

5 0

2 years ago

Read 2 more answers

Original price: $95; Markdown: 10%...Show your work

Rasek [7]

$95.00 minus $9.50 equals $85.50

4 0

2 years ago