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2 years ago

Select all of the following equations that would have the point (4, 16) located on their graph.

Mathematics

1 answer:

geniusboy [140]2 years ago

3 0

The 3, 4, and 5 :) hope it helps

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2 years ago

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Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If the height increases at a consta

Cerrena [4.2K]

Answer:

$125\pi \frac{\text{ft}^3}{\text{min}}$ .

Step-by-step explanation:

Let x represent height of the cone.

We have been given that Sand pouring from a chute forms a conical pile whose height is always equal to the diameter.

We know that radius is half the diameter, so radius of cone would be $\frac{x}{2}$ .

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$

Upon substituting the value of height and radius in terms of x, we will get:

$V=\frac{1}{3}\pi (\frac{x}{2})^2(x)$

$V=\frac{1}{3}\pi\frac{x^2}{4}(x)$

$V=\frac{1}{12}\pi x^3$

Now, we will take the derivative of volume with respect to time as:

$\frac{dV}{dt}=\frac{1}{12}\pi\cdot 3x^2\cdot \frac{dx}{dt}$

$\frac{dV}{dt}=\frac{1}{4}\pi\cdot x^2\cdot \frac{dx}{dt}$

Upon substituting $x=10$ and $\frac{dx}{dt}=5$ , we will get:

$\frac{dV}{dt}=\frac{1}{4}\pi\cdot (10)^2\cdot 5$

$\frac{dV}{dt}=\frac{1}{4}\pi\cdot 100\cdot 5$

$\frac{dV}{dt}=\pi\cdot 25\cdot 5$

$\frac{dV}{dt}=125\pi$

Therefore, the sand is pouring from the chute at a rate of $125\pi \frac{\text{ft}^3}{\text{min}}$ .

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3 years ago

Over what interval is the function in this graph decreasing?

Studentka2010 [4]

Answer:

Hence, the graph is decreasing in the interval: –4 ≤ x ≤ 2 ( option: B is correct)

Step-by-step explanation:

We have to define the interval in which the graph of the given function is decreasing.

Clearly by looking at the graph we could see that the graph is first increasing till x<-4.

and then it decreases in the interval [-4,2] since the value of y changes from y=9 at x= -4 to y= -9 at x=2.

also after x=2 the graph increases till x=6 and after x=6 the graph is constant i.e. the graph is represented by the line:

y=5 in the interval x≥6.

Hence, the graph is decreasing in the interval:

–4 ≤ x ≤ 2 ( option: B is correct)

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2 years ago

What is the maximum possible vault of

Anna007 [38]

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2 years ago

help pls i really need help like really so pls i will giv brainly est and money pls 20 dollar i need help pls pls pls i cant do

Nikitich [7]

Answer:

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2 years ago