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nlexa [21]
3 years ago
13

Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, h

e needs to estimate the volume of a basketball. The diameter of a basketball is about 10 in. 
Which estimate best approximates the volume of a basketball? 5×10^1 in³ 
5×10^2 in³
5×10^3 in³ 
5×10^4 in³
Mathematics
1 answer:
Westkost [7]3 years ago
3 0
A basketball is the shape of a sphere.

The volume of a sphere is given by

V= \frac{4}{3} \pi r^3

Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.

Thus, the volume of the basketball is given by

V= \frac{4}{3} \pi(5)^3 \\  \\ = \frac{4\times125}{3} \pi=523.6\ in^3

Therefore, The best approximate of the volume of the basketball is 5\times10^2\ in^3
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Is (4,-5), (0,-5), (11,30), (17,10) a function
Ratling [72]

Answer:

Yes, it is a function

Step-by-step explanation:

A function is a set of ordered pairs where there is no two of the same domain. The domain is the first coordinate which is x. In this case, the x coordinates are 4, 0, 11, 17. There is no two of the same domain so this is a function.

Hope This Helps :)

4 0
3 years ago
Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 +
Artemon [7]

Answer:

Only equation 1 and 2 are equal.

Step-by-step explanation:

2 (x + 4)2 = 2

2( x² + 8x+ 16) = 2               Applying the square formula

2x² + 16x+ 32 = 2

2x² + 16x+ 32 -2= 0

2x² + 16x+ 30 = 0

2( x² + 8x+ 15)= 0           Taking 2 as common

x2 + 8x + 15 = 0------------eq 1

x2 + 8x + 15 = 0-------------eq 2

(x − 5)2 = 1

x²-10x+25= 1             Applying the square formula

x²-10x+25- 1= 0

x²-10x+24= 0-------------eq 3

x2 − 10x + 26 = 0 -------------eq 4

3(x − 1)2 + 5 = 0

3( x²-2x+1)+5= 0               Applying the square formula

3x²-6x+3+5= 0

3x²-6x+ 8= 0-------------eq 5

3x2 − 6x + 8 =1

3x2 − 6x + 8 -1=0

3x2 − 6x + 7 =0-------------eq 6

3 0
3 years ago
Which is true regarding the graphed function f(x)?
Sladkaya [172]
<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the graphed function comes from:

f(x)=\left(x-4\right)^{2}+5

So this is the equation of a parabola that opens upward and whose vertex lies on the point:

V(4,5)

The graph of this function is shown below. Which is true regarding the graphed function f(x)?

  • It is true that the domain is the set of all real numbers because this is a polynomial function.

  • It is true that the range is the set of all real numbers such that y ≥ 5

  • It is true that this parabola opens upward

  • It is true that it doesn't cut the x-axis

6 0
3 years ago
Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote
Murljashka [212]

Answer: C on edge

Step-by-step explanation:

5 0
3 years ago
(- 5x + 3y) (2x – 12y + 1)<br> Multiply
Sonbull [250]

The answer for this problem i −10x2+66xy−36y2−5x+3y

Let's solve it by step by step.

(−5x+3y)(2x−12y+1)

=(−5x+3y)(2x+−12y+1)

=(−5x)(2x)+(−5x)(−12y)+(−5x)(1)+(3y)(2x)+(3y)(−12y)+(3y)(1)

=−10x2+60xy−5x+6xy−36y2+3y

So, -10x2+66xy-36y2-5x+3y

If this didn't help you, you can also use blocks to help!

©HWsolver in brainly.com

3 0
3 years ago
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