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MakcuM [25]
2 years ago
15

How many cords of wood could you fit in a room that is 4 yards long, 4 yards wide, and 2 yards high?

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
6 0

Hi there!

It depends on the dimensions of each cords of wood.  If each cord of wood is just one square yard large, then you could fit 4*4*2=32 cords of wood into a room that has the dimensions that you described.

-AwesomeRepublic  :)

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PLEASE HELP<br><br> Graph the ordered pairs for y = 3x + 3 using r = {-2, 1, 2}.
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Answer:

  (-2, -3), (1, 6), (2, 9) are plotted in the attached graph

Step-by-step explanation:

For x = -2, y = 3(-2) +3 = -3. The ordered pair is (-2, -3).

For x = 1, y = 3(1) +3 = 6. The ordered pair is (1, 6).

For x = 2, y = 3(2) +3 = 9. The ordered pair is (2, 9).

The graph is attached.

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Step-by-step explanation:

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Determine whether the events E and F are independent or dependent. Justify your answer. ​(a) ​E: A person living at least 70 yea
Gnoma [55]

Answer:

a) E & F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years.

Step-by-step explanation:

Independent Events. When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring.

Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.

Since Venomous snakes are species of the suborder Serpents that are capable of producing venom, which they use for killing prey, for defense, and to assist with digestion of their prey and the older you get the less active you become, Hence the handle of venomous snakes can affect the probability of a person living at least 70 years

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3 years ago
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Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circu
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Answer:

0.0221 feet per minute.

Step-by-step explanation:

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

If the Base Diameter = Height of the Cone

The 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}

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

Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

\dfrac{dV}{dt}=10$ ft^3/min

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.

We have:

\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10\\\\$When h=24$ feet$\\\dfrac{3\pi *24^2}{12}\dfrac{dh}{dt}=10\\144\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{144\pi}\\ \dfrac{dh}{dt}=0.0221$ feet per minute

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.

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