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xz_007 [3.2K]
3 years ago
13

What is seventeen thousand and one hundred six thousandths in standard form

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0
17,000+100+6

I think I hope I'm right
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Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis
guapka [62]

Answer: V = \frac{64}{3}\pi

Step-by-step explanation: A solid formed by revolving the region about the x-axis can be considered to have a thin vertical strip with thickness Δx and height y = f(x). The strip creates a circular disk with volume:

V = \pi. y^{2}.Δx

Using the <u>Disc</u> <u>Method</u>, it is possible to calculate all the volume of these strips, giving the volume of the revolved solid:

V = \int\limits^a_b {\pi. y^{2} } \, dx

Then, for the region generated by  y = - x + 4:

V = \int\limits^4_0 {\pi.(-x+4)^{2} } \, dx

V = \pi.\int\limits^4_0 {(x^{2}-8x+16)} \, dx

V = \pi.(\frac{x^{3}}{3}-4x^{2}+16x )

V = \pi.(\frac{4^{3}}{3}-4.4^{2}+16.4 - 0 )

V = \frac{64}{3}.\pi

The volume of the revolved region is V = \frac{64}{3}.\pi

8 0
3 years ago
Does (-15, -691) make the equation y = -51x - 74 true?<br><br><br>​
dimulka [17.4K]

Well, we can input both variables to check and see if the numbers hold.

-691 = -51(-15) - 74

-691 = 765-64

-691 = 701

(-15, -691) does not make the equation true.

3 0
3 years ago
Read 2 more answers
Can someone help me out my grads are bad
Pani-rosa [81]

Answer:

162

Step-by-step explanation:

9 x 6 = 54

18 x 6 = 108

108 + 54 = 162

8 0
2 years ago
If \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} =3xy<br>​
tankabanditka [31]

Answer:

Given

x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) 3 =(−z) 3

⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3

⟹x 3 +y 3 +3xy(x+y)=−z 3

⟹x 3+y 3+3xy(−z)=−z 3

⟹x 3 +y 3−3xyz=−z 3

⟹x 3 +y 3 +z 3 =3xyz

Step-by-step explanation:

Hope it is helpful.....

8 0
2 years ago
By what percent will the fraction increase if its numerator is increased by 60% and denominator is decreased by 20% ?
seropon [69]

Answer:

100%

Step-by-step explanation:

Start with x.

x = x/1

Increase the numerator by 60% to 1.6x.

Decrease the numerator by 20% to 0.8.

The new fraction is

1.6x/0.8

Do the division.

1.6x/0.8 = 2x

The fraction increased from x to 2x. It became double of what it was. From x to 2x, the increase is x. Since x was the original number x is 100%.

The increase is 100%.

8 0
3 years ago
Read 2 more answers
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