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astraxan [27]
3 years ago
11

X∞n=0 (2 n + 1) x 2 n

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer:3

If x=0 or x=1 it is trivial, so 0<x<1. Define a=1−x2, then 0<a<1.

Step-by-step explanation:

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Select the correct answer.
Gemiola [76]

Answer:

ypur answer would be a.

7 0
3 years ago
A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the
xxMikexx [17]

Answer:

5127079.21 cubic feet

Step-by-step explanation:

The silo is in the shape of a cylinder and a cone.

The volume of the silo will be the sum of the volumes of the cylinder and the cone.

Therefore, its volume is:

V = \pi r^2h + \frac{1}{3} \pi rH

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:

130 - 25 = 105 feet

Therefore, the volume of the silo is:

V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3

The volume of the silo is 5127079.21 cubic feet.

3 0
3 years ago
The following triangles are similar. Find side AB.
tankabanditka [31]

Answer:

4

Step-by-step explanation:

Set up ratios of corresponding sides.  x+2 is to 6 as 2 is to 3:

\frac{x+2}{6}=\frac{2}{3}

Now cross multiply to get

3(x + 2) = 12 and

3x + 6 = 12 so

3x = 6 and

x = 2.  That means that side AB, x + 2, is 2 + 2 which is 4

4 0
3 years ago
In the basketball game, Rachel scored 6 points less than twice the number of points Trina scored. Together they scored 36 points
Vesnalui [34]

Answer:

36=2x-6

Step-by-step explanation:

36=total

2x= Trina

6= Rachel

5 0
3 years ago
What is the average rate of change of the line whose equation is:
dedylja [7]

Answer:

Rate of change = -12

Step-by-step explanation:

y − 3 = −12(x + 4)

Expanding, we have;

y - 3 = -12x - 48

y = -12x - 48 + 3

y = -12x - 45

Now, formula for rate of change is;

Rate of change = (y(x + h) - y)/h

y(x + h) is; y = -12(x + h) - 45

This gives;

Rate of change = (-12(x + h) - 45 + 12x + 45)/h

Rate of change = (-12x - 12h - 45 + 12x + 45)/h

Rate of change = -12h/h

Rate of change = -12

3 0
3 years ago
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