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2 years ago

Complete the table Please help meee

Mathematics

1 answer:

alukav5142 [94]2 years ago

7 0

Answer:

$3^{1}$ - 3

3² - 9

3³ - 27

$3^{4}$ - 81

$3^{5}$ - 243

$3^{6}$ - 729

$3^{7}$ - 2,187

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Is 0.99 an repeating number

Black_prince [1.1K]

Answer:

Step-by-step explanation:

0.99 is not a repeating decimal because it terminates, meaning that it "ends". We know this because there are no more digits after 9 and there is no "..." at the end of the decimal.

3 0

3 years ago

Find the length of AE if BD || AE and BD is a midsegment of ▲ACE

11Alexandr11 [23.1K]

AC = 2 BD

Distance BD = √[(2.5+1)^2 +(3-3)^2]

Distance BD = √(3.5)^2

Distance BD = 3.5

AC = 2 * 3.5 = 7

Answer

d. 7

7 0

3 years ago

Read 2 more answers

Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

700+a=3944-b=c-80=3000

velikii [3]

Answer:

A = 3244

B = 864

C = 3080

Step-by-step explanation:

700 + a = 3944

-700 -700

a = 3244

3944 - b = c - 80 = 3000

c - 80 = 3000

+80 +80

c = 3080

3944 - b = c ---> 3944 - b = 3080

-3944 -3944

-b = -864 ---> $\frac{-b}{-1} = \frac{-864}{-1}$

7 0

2 years ago

maria purchased a new jacket for 78.12. the orginal price of the jacket was discounted 20% and Maria had to pay 5% sales tax. wh

prohojiy [21]

20 percent of the discount minus 5 percent sales tax equals to 15 percent.
know calculate the 15 percentage out of 78,12 so x on 78,12 equals to 20 on 100 so 78,12 equals to 100 percent and x equals to 15 percent so 78,12 times 15 divided by 100 is 15 percent or the number you found discount and and sales tax combined know you substact 15 percent out of your original price.

7 0

2 years ago