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dmitriy555 [2]
3 years ago
10

Which expression gives the volume of a sphere with radius 5

Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

V ≅ 523.33

Step-by-step explanation:

V = 4/3(π*r³)

here r is 5 then

 = 4/3 (π*5³)

≅ 523.33

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What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
2 years ago
Istanbuldaki marmaray hattında tren maksimum 100km/sa'tir Trenin saniyedeki hızı kaç m/sn'dir​
Tanzania [10]

Answer:

27,77

1 saatte 3600 saniye var

100 km de 100.000 metre yapar o halde

100.000/3600 = 27,77 m/sn yapar

alıntıdır (◍•ᴗ•◍)

7 0
3 years ago
A car can average 140 miles on 5 gallons of gasoline. Write any equation for the distance d in miles the car can travel on g gal
ser-zykov [4K]

d=28g I might be wrong, but we can find this by dividing 140 by five, which equals 28.

7 0
3 years ago
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How do I find the angle of aed, please help
insens350 [35]

Answer:

you can find angle E by

Step-by-step explanation:

sum of angles of traingle is 180 degree

5 0
2 years ago
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What is the axis of symmetry for f(x) = -3x2 + 18 - 7
solong [7]

The vertex form:

y=a(x-h)^2+k\\\\(h,\ k)-vertex

The axis of symetry is x = h.

y=ax^2+bx+c\to h=\dfrac{-b}{2a}

We have

f(x)=-3x^2+18x-7\to a=-3,\ b=18,\ c=-7

Substitute:

h=\dfrac{-18}{(2)(-3)}=\dfrac{-18}{-6}=3

<h3>Answer: x = 3</h3>
6 0
3 years ago
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