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Tcecarenko [31]
3 years ago
13

What is the height of a cylinder with a volume of 315 pi cubic meters and a radius of 6 meters?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0
V= Pi × radius squared × height
V= 315 pi
R=6

315 pi = pi 6^2 h

315 pi/ 36 pi = h

Answer: C) 8.75
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What is the inverse of f(x)=x^4+7 for x&gt;0 where function g is the inverse of function f?<br> -
Ann [662]

Answer:

g(x) = \sqrt[4]{x-7},~ x\geq 7

Step by step explanation:

y= f(x) = x^4+7\\\\\text{Replace x with y and solve for y:}\\\\~~~~~~~x = y^4 +7\\\\\implies y^4 = x-7\\\\\implies y = \pm\sqrt[4]{x-7}\\\\ \implies f^{-1}(x) = \pm\sqrt[4]{x-7}

7 0
2 years ago
Is the function in the table linear or nonlinear and why? x y 0,−100 and 1,-50 and 2,0 and 3,100 and 4,150. (A)The function is n
Studentka2010 [4]

Answer:

The correct option is c.

Step-by-step explanation:

Linear function: The rate of change of a linear function is always constant.

Non-Linear function: The rate of change of a non-linear function is not constant.

From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).

m=\frac{y_2-y_1}{x_2-x_1}

The slope of function for points (0,-100) and (1,-50) is

m_1=\frac{-50-(-100)}{1-0}=50

The slope of function for points (2,0) and (3,100) is

m_2=\frac{100-0}{3-2}=100

Since the slopes of function are different, therefore the given function is non-linear.

The function is not linear because the rate of change is not constant and option c is correct.

7 0
3 years ago
Read 2 more answers
Round 363 to the nearest ten and hundred
IRISSAK [1]
Its 400 because 363 is closer to 400 than 300
3 0
3 years ago
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A truck was carrying 2 and 1/8 tons of sand. When it arrived, only 1 and 1/2 ton of sand were left. How much sand was lost along
erica [24]
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3 years ago
A soccer field for a youth league has an area of 4000 square yards and is 60% longer than it is wide what is the length of the f
olasank [31]

Let

width,w

length, l = 1.6w ...eqn 1

area, a = l × w ...eqn 2

subst for l in eqn 2

a = 1.6 w × w = 4000

4000 = 1.6 w^2

w^2 = 2500

w = 50

subst for w in eqn 1

l = 50 x 1.6 = 80

length = 80 yds

width = 50 yds

4 0
3 years ago
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