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timofeeve [1]
3 years ago
14

A baseball has a 45 cm diameter. What is the volume of the contents of the ball?

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
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Suppose f′(6)=5 and g′(6)=7. <br> Find h′(6) where h(x)=4f(x)+5g(x)+1.
Nimfa-mama [501]

The value of the derivative of functions h'(6) as requested in the task content is; 55.

<h3>What is the value of h'(6)?</h3>

Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.

Hence, the derivative of h(x) can be evaluated as;

h'(x)=4f'(x)+5g'(x)

On this note, by substitution, it follows that;

h'(6)=4(5)+5(7)

h'(6) = 55.

Read more on functions;

brainly.com/question/6561461

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3 0
2 years ago
Help me find Sample variance and standard deviation
AnnZ [28]
First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
5 0
3 years ago
Find ( f - g)(x).<br><br> f (x) = -2x2 - 2x - 3 and g(x) = 3x2 - 4x - 4
Kruka [31]

Answer:

\large\boxed{(f-g)(x)=-5x^2+2x+1}

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1

3 0
3 years ago
Find the perimeter and area of each figure 70. A square with length 4.5 inches.
il63 [147K]

Area = 4.5 x 4.5 = 20.25 in²

Perimeter = 4 x 4.5 = 18 in

3 0
3 years ago
A scale factor of 2 is used to enlarge a figure as shown below. A rectangle with an area of 18 inches squared. How many square i
qwelly [4]

Answer:

36

Step-by-step explanation: All you have to do is multipy the area of the original figure by the scale factor. (18 times 2) which is 36.

You're welcome <3

3 0
3 years ago
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