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1 year ago

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Tim, paco, maria, and jenny are standing in line for lunch. jenny is standing between paco and maria, and paco’s position in lin

e is an odd number. tim is not standing on either end of the line, and he is in front of jenny. which friend is standing third in line?

1 answer:

Assoli18 [71]1 year ago

4 0

Answer:

the order is Paco, Tim, Jenny, Maria

Step-by-step explanation:

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What is the approximate volume of the cylinder? Use 3.14 for п.

Veseljchak [2.6K]

<u>Given</u>:

Given that the radius of the cylinder is 4 cm.

The height of the cylinder is 9 cm.

We need to determine the volume of the cylinder.

<u>Volume of the cylinder:</u>

The volume of the cylinder can be determined using the formula,

$V=\pi r^2 h$

where r is the radius and h is the height of the cylinder.

Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;

$V=(3.14)(4)^2(9)$

$V=(3.14)(16)(9)$

$V=452.16 \ cm^3$

Thus, the volume of the cylinder is 452.16 cm³

Hence, Option B is the correct answer.

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3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

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2 years ago

Please help and explain if you can

finlep [7]

You're pretty much screwed

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3 years ago

Find the average rate of change between n=1 and n=3

Vitek1552 [10]

Answer:

there is not enough information to solve

Step-by-step explanation:

You need two ordered pairs to calculate the average rate of change.

Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is

(b - a)/(3 - 1) = (b - a)/2

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1 year ago

What is the sum of the liner expressions -3x + 4 and -12x -27

NISA [10]

-3x+ 4=1 and -12x -27=324

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3 years ago