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3 years ago

Please help! (ignore the answer I chose)

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

The numerator factors as (t-8)(t+4), so the whole thing is (t-8)(t+4)/(t-8). Now we can cancel the t-8 AS LONG as t isn't equal to 8, otherwise, we are canceling a zero from both numerator and denominator which is invalid. What is left is t+4.

So your choice was right.

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Which expression is NOT equal to 125?

kenny6666 [7]

Where are your choices? Is there more?

8 0

2 years ago

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$

I leave the details of integrating to you.

3 0

2 years ago

A builder is installing a fence on all four sides of a backyard. The yard is 40 feet long and 50 feet wide. How much fencing wil

Brums [2.3K]

50•2=100
Then 40•2=80
Than add 100+80=
180! Please Thank me!

5 0

3 years ago

Read 2 more answers

Mrs James is a boutique owner who recently started selling Over-The-Knee boots. She buys them from her supplier for $300 per set

Lelechka [254]

Answer: $39.60

Step-by-step explanation:

300/10 for one pair of boots is $30

30/100=x/132

x is the selling price

Cross multiply: 100x=3960

Divide: x=39.60

3 0

2 years ago

Read 2 more answers

What the awnser is and how to work it out because my teacher didn't show me how to

taurus [48]

The most likely answer is B.
Highlighting the corresponding parts from the original in the copy is just coloring in the parts of the copy that have the same scale, for example, if the center of the scaled copy is one unit, the original could be 3 units.

7 0

3 years ago