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Dovator [93]
3 years ago
13

Volume of a sphere with a diameter of 8 meters? Use 3.14 for pi.

Mathematics
1 answer:
kvasek [131]3 years ago
4 0
Answer:   " 267.95 m³ " .
______________________________________________________
Explanation:
________________________________________________________


V = (4/3) * \pi * r³ ;

Given: diameter, "d" = "8 m" ;

radius, "r" = 8 m / 2 = 4 m " 
    
V = (4/3) * \pi * r³

V = (4/3) * \pi *(4m)³

V = (4/3) * (3.14) * 4³ * m³  ; 

V = (4/3) * (3.14) * (4*4*4) * m³ ;

V = (4/3) * (3.14) * (64) * m³ ;

V = 267.9466666666666667 m³ ;

round to: " 267.95 m³ " .
_________________________________________________________
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Hello!

1.
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18 + 11 + 24 + 8 + 7 + 1 + 17 = 86

The answer is 86 people
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8 + 7 + 1 + 17 = 33

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3.
To find how many people likes only country music you look at the number that is only in the country circle

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8 0
3 years ago
Form quadratic functions given the following information:
nignag [31]

Answer:

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

or

f(x)=-\frac{4}{7}(x^2-6x+7)

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

so

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

f(x)=a(x-x1)(x-x2)

substitute

f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Find the value of the coefficient a

Remember that

f(1)=−8

so

For x=-1 -----> f(x)=-8

substitute

-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))

solve for a

-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))

apply difference of squares

-8=a(14)

a=-\frac{4}{7}

therefore

f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

simplify

Applying distributive property

f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)

f(x)=-\frac{4}{7}(x^2-6x+7)

5 0
4 years ago
a bag contains 5 red marbles 4 blue marbles and 6 yellow marbles if 3 marbles are selected in succession what is the probability
Alex

Answer:

5/243

Step-by-step explanation:

4/18 × 6/18 × 5/18 = 5/243

I think

6 0
4 years ago
I don't know how to do this. I have the formula but I'm confused. Help?
Rom4ik [11]
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3 0
3 years ago
Write an equation of a horizontal line tuat passes through the point (3,-3)
aniked [119]

Answer:

y = -3

Step-by-step explanation:

A horizontal line has all the same y values, but changing x values

y must equal -3 all the time if it goes through (3,-3)

y = -3

6 0
3 years ago
Read 2 more answers
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