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4 years ago

The computer rendering of a mural in a town's square uses

Mathematics

1 answer:

rjkz [21]4 years ago

7 0

Answer:

The highest point of the mountain defined by the function is 16 feet.

ED 2020

Step-by-step explanation:

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The difference between an observational study and an experiment is that

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In an observational study, we measure or survey members of a sample without trying to affect them. In a controlled experiment, we assign people or things to groups and apply some treatment to one of the groups, while the other group does not receive the treatment

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3 years ago

What do the word segment mean?

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Each of the parts into which something is or may be divided

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4 years ago

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Which number sentence is always true? Select all that apply!

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Negative+positive=positive

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4 years ago

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Hello!! I Need HElp ASAP PLEAASSEE

MatroZZZ [7]

Answer:

a = -1

Step-by-step explanation:

The line of symmetry for the parabola given by ...

y = ax² +bx +c

x = -b/(2a)

Using the given values, we have ...

-2 = -(-4)/(2a)

Multiplying by -a/2, we get ...

a = (4/2)(-1/2) = -1

The value of "a" is -1.

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3 years ago

g Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that it forms a pile in the sh

Maslowich

Answer:

0.3537 feet per minute.

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

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

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

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

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

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

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10$

We want to determine how fast is the height of the pile is increasing when the pile is 6 feet high.

$When h=6$ feet$\\\dfrac{3\pi *6^2}{12}\dfrac{dh}{dt}=10\\9\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{9\pi}\\ \dfrac{dh}{dt}=0.3537$ feet per minute$

When the pile is 6 feet high, the height of the pile is increasing at a rate of 0.3537 feet per minute.

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4 years ago