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3 years ago

Will give brainliest

Mathematics

1 answer:

Bond [772]3 years ago

4 0

What are the options to put the word in? Let me know in the comments then I’ll help you.

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Water is poured into a conical paper cup at the rate of 3/2 in3/sec. If the cup is 6 inches tall and the top has a radius of 6 i

Leto [7]

So.. hmm notice the picture below

r = h, due to similar triangles ratio, whatever "h" may be

now, we're given how much water is being poured into the cup per sec
namely dv/dt the volume's rate

so.. hmmm $\bf \textit{volume of a cone}=V=\cfrac{\pi r^2 h}{3}\quad however\implies r=h
\\\\\\
thus\implies V=\cfrac{\pi h^2 h}{3}\implies V=\cfrac{\pi h^3}{3}\\\\
------------------------\\\\
now
\\\\\\
\cfrac{dv}{dt}=\cfrac{\pi }{3}\cdot 3h^2\cdot \cfrac{dh}{dt}\implies \cfrac{dv}{dt}=\pi h^2\cdot \cfrac{dh}{dt}
\\\\\\
\cfrac{\frac{dv}{dt}}{\pi h^2}=\cfrac{dh}{dt}\quad 
\begin{cases}
\frac{dv}{dt}=\frac{3}{2}\\\\
\left. \frac{dh}{dt} \right|_{h=4}
\end{cases}\implies \cfrac{\frac{3}{2}}{\pi 4^2}=\cfrac{dh}{dt}$

8 0

3 years ago

The diameter of a car's tire is 5oem. While the car is being driven, the tire picks up a nail. It takes 1

AnnZ [28]

Answer:

RESULT

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00:04

01:32

Step-by-step explanation:

7 0

3 years ago

Lindsey earns 5% commission off all sales in the clothing boutique she works at. If a customer bought $124.50 in merchandise, ho

postnew [5]

Answer:

Lindsey earned a commission of $6.23

Step-by-step explanation:

Given that:

Commission rate = 5%

Amount of merchandise bought by customer = $124.50

Commission amount = 5% of 124.50

Commission amount = $\frac{5}{100}*124.50$

Commission amount = 0.05 * 124.50

Commission amount = $6.225

Rounding off to nearest cent

Commission amount = $6.23

Hence,

Lindsey earned a commission of $6.23

3 0

3 years ago

the system 5y=8x + 8 and 7y = -8x + 16 is graphed as shown which choice of the point is the point of intersection ?

xenn [34]

Answer:

c= (1/4,2)

Step-by-step explanation:

i did the test and it came out correct i promise !

3 0

3 years ago

3-2/7 divided by 1-1/4

Arada [10]

3-2/7 = 0.14285714
1-1/4 = 0/4

5 0

3 years ago