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Alex_Xolod [135]
2 years ago
6

How much air can the basketball hold? With a radius of 3 inches. Round to the nearest hundredth.

Mathematics
1 answer:
choli [55]2 years ago
3 0

Answer:

113.10 if you use the pi button

113.04 if you use 3.14

Step-by-step explanation:

We want to find the volume

V = 4/3  pi r^3

The radius is 3

V = 4/3 pi (3)^3

Using the pi button for pi

V = 113.09734

Rounding to the nearest hundredth

V = 113.10

If you use 3.14 for pi

V = 113.04

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For what value of x is (2x^2+8x)/(x+4)(x^2-9) undefined?
irakobra [83]

Answer:

The value at x =3 is undefined for the given expression

Step-by-step explanation:

Given expression is \frac{2x^2+8x}{(x+4)(x^2-9)}

To find for what value of x is undefined in the given expression :

\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{2x(x+4)}{(x+4)(x^2-9)}

=\frac{2x}{x^2-9}

\frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{2x}{x^2-9}

If we put x=3 in the above expression we get

\frac{2x}{x^2-9)}=\frac{2(3)}{3^2-9}

=\frac{6}{9-9}

=\frac{6}{0}

Therefore \frac{2x^2+8x}{(x+4)(x^2-9)}=\frac{6}{0}

The value at x =3 is undefined for the given expression

7 0
3 years ago
1) An average soccer ball has a mass of .4 kg. If a soccer ball is kicked with a force of 750 Newtons, what is the acceleration
tangare [24]

Answer:

<u>1) 187.5ms^2</u>

<u>1) 187.5ms^22) 307.5m</u>

Step-by-step explanation:

1) You can use the formula:

Force = Mass x Acceleration

750 = 4 x a

750 = 4a

750/4 = a

<u>187.5ms^2</u>

2)

For every one second it travels 12.3 meters therefore you can just do 12.3x25 = 307.5m

8 0
2 years ago
Solve for x. enter your answer in interval notation using grouping symbols. x^2+15x&lt;-36
Oliga [24]
X²+15x+36<0

at first solve quadratic equation

D=b²-4ac= 225-4*1*36= 81

x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3

we can write x²+15x+36<0 as (x+12)(x+3)<0

(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
 1 case)      x+12<0, and x+3>0,                                            
                       x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set

or second case)  x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3)  they are crossing , so (-12, -3)  is a solution of this inequality


3 0
3 years ago
13 = 5 + 3b - 13<br><br> show work explained
IrinaVladis [17]
13 = 5 + 3b - 13\\&#10;3b=21\\&#10;b=7
8 0
3 years ago
According to the Sleep Foundation, the average night's sleep is 6.8 hours (Fortune, March 20, 2006). Assume the standard deviati
vivado [14]

Let X be the random variable for the time a given person from the population spends sleeping. With X\sim\mathcal N(6.8,0.4^2) we have

P(X>8)=P\left(\dfrac{X-6.8}{0.4}>\dfrac{8-6.8}{0.4}\right)=P(Z>3)\approx0.0013

where Z\sim\mathcal N(0,1^2).

P(X\le6)=P\left(\dfrac{X-6.8}{0.4}\le\dfrac{6-6.8}{0.4}\right)=P(Z\le-2)\approx0.0228

P(7

Rounded to the nearest whole number, that comes out to about 31%.

5 0
3 years ago
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