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Aleks04 [339]
4 years ago
8

Two functions are graphed on the coordinate plane. Which represents where f(x) = g(x)?

Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
3 0
I think a word is missing here:  '<span>Which { ? } represents where f(x) = g(x)?

If the graph of f(x) intersects the graph of g(x), the coordinates of the point of intersection constitute the "solution" of f(x) = g(x).

If you were to share functions f(x) and g(x), you'd likely be able to determine the point of intersection, either algebraically or graphically.</span>
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Find the sum of series 4/(4n-3) (4n+1)
ANTONII [103]
\dfrac4{(4n-3)(4n+1)}=\dfrac1{4n-3}-\dfrac1{4n-1}

Assuming the sum starts at n=1, the Nth partial sum is

\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=\left(1-\frac15\right)+\left(\frac15-\frac19\right)+\cdots+\left(\frac1{4N-7}-\frac1{4N-3}\right)+\left(\frac1{4N-3}-\frac1{4N+1}\right)
\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=1-\frac1{4N-1}

As N\to\infty, you're left with simply 1.
8 0
3 years ago
Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumferenc
Rom4ik [11]
The complete question is
Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumference of a tennis ball is 8 inches. a) Find the volume of a tennis ball b) There are 3 tennis ball in the container Find the amount of space within the cylinder not taken up by the tennis balls. Round your answers to the nearest hundredth.

Part a) 

we know that
length of a circumference=2*pi*r----------> r=length/(2*pi)---> 8/(2*pi)
r=1.27 in------> radius of tennis ball

volume of a tennis ball is equals to the volume of a sphere
[volume of a sphere]=(4/3)*pi*r³----> (4/3)*pi*1.27³---> 8.58 in³

the answer Part a) is
the volume of a tennis ball is 8.58 in³

Part b)
[volume of the container]=pi*r²*h-----> pi*1.43²*8----> 51.39 in³

[volume of 3 tennis balls]=8.58*3-----> 25.74 in³

the amount of space within the cylinder not taken up by the tennis balls is
51.39-25.74-----> 25.65 in³

the answer Part b) is
25.65 in³


8 0
3 years ago
Drag the tiles to the boxes to form correct pairs. In the diagram, transversal t cuts across the parallel lines a and b. Match t
yarga [219]
Where are the type of answers for this question
7 0
3 years ago
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How many hours of training would you need to have a monthly pay of $1500. (Hours of Training 10. Monthly pay 1220.)
White raven [17]

Answer:you will need about 12.29508197 hours of training

Step-by-step explanation:

7 0
4 years ago
Milo and Noah are visiting the new play area at the park. It is rectangular in shape. Milo says he knows that it has a perimeter
liberstina [14]

Answer:

The length of the play area in feet is 1

Step-by-step explanation:

we know that

The perimeter of rectangle is given by the formula

P=2(L+W)

we have

P=44\ yd\\W=21\ ft

substitute

44=2(L+21)

solve for L

simplify

22=L+21\\L=22-21\\L=1\ ft

4 0
3 years ago
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