\int \frac{x}{\left(1-x^2\right)^{\frac{3}{4}}}dx

a stack of 500 sheets of paper is 1.875 inches tall. Diego guess that each piece of paper and 0.015 inches thick. Explain how yo

just olya [345]

If there were 1000 sheets of paper, then the thickness of each sheet would be 1.875 in divided by 1000.

1.875/1000 = 0.001875

Since there are 500 sheets of paper, each one is twice as thick as 0.001875, so each sheet is 0.00375 inches thick. 0.015 is much greater than 0.00375, so it must be incorrect.

8 0

4 years ago

During quarantine your goal was to do a total of 36 pull-ups and push ups in a minute. You end up doin 8 times as many push-ups

Semmy [17]

Answer:

36 times 8 = 288

5 0

3 years ago

Read 2 more answers

Each sister bought a gift for their mom. Maggie spent 3 times as much as Karen. Karen spent half as much as Jasmine. Altogether,

snow_tiger [21]

Answer:

Maggie spent =30

Karen spent = 10

Jasmine spent =20

Step-by-step explanation:

In this we use algebra to solve.we give the sisters unknowns, to help us solve the equation.

we dont know how much jasmine used so we give her the unknown x.you can use any letter but ill us x.

karen used half as much as karen so we give her 1/2x because it was half of jasmine.maggie used 3 times that of karen so w give her 3(1/2x).

maggie =3(1/2x)

Karen =1/2x

jasmine =x

3(1/2x) + 1/2x + x = 60

3/2x + 1/2x + x = 60

2x + x = 60

3x=60

x=20

where we have x =we replace with 20

e.g karen 1/2x => 1/2 x 20 =10

if you need any clarifications please do tell me in the comment section.i would like to help more if you need help.thx

Hope this helps and if it does mark as branliest anwer thx

6 0

3 years ago

I need the domain range and function. With an explanation

erastovalidia [21]

<h3>Answers:</h3>

Problem 1

Domain = $-3 < x \le 3$ , interval notation (-3, 3]
Range = $-3 \le y < 3$ , interval notation [-3, 3)
Is it a function? Yes

Problem 2

Domain = $x \ge -2$ , interval notation $[-2, \infty)$
Range = All real numbers, interval notation $(-\infty, \infty)$
Is it a function? No

Problem 3

Domain = $-4 \le x < 3$ , interval notation [-4, 3)
Range = $-4 < y \le 3$ , interval notation (-4, 3]
Is it a function? Yes

Problem 4

Domain = All real numbers, interval notation $(-\infty, \infty)$
Range = $y \le 4$ , interval notation $(-\infty, 4]$
Is it a function? Yes

==================================================

Explanations:

The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore $-3 < x \le 3$ which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is $x \ge -2$ which in interval notation is $[-2, \infty)$ . The range is $(-\infty, \infty)$ to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is $y \le 4$ which is the same as saying $(-\infty, 4]$ in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

7 0

4 years ago

The mass of Earth is 5.97 >< 1024 kilograms. The mass of the Moon is 7.34 x 1022 kilograms. What is the combined mass of E

LuckyWell [14K]

Answer:

7.34x10^22 kg can also be written as 0.0734 * 10^24 kg

Since both numbers are * 10^24, you can just add 5.97 + 0.0734 = 6.043. Then you have to add the * 10^24 giving you 6.043 * 10^24 kg

The ratio of Earth / moon is 5.97x10^24 / 7.34x10^22 = 81. The mass of the Earth is 81 times the mass of the moon.

Step-by-step explanation: give me brainliest please :)

6 0

3 years ago