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Firlakuza [10]
3 years ago
8

PLEASE HELP 40 POINTS pls answer the full question and show the process of how you found too NEED quick response.

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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the volume of a cone of radius r and height h is given by v=1/3pir^2h. If the radius and height is both increasing at a constant
Tamiku [17]

Answer:

The rate of change of the volume \frac{dV}{dt} when the height is 9 centimeters and the radius is 6 centimeters is 24\pi \:\frac{cm^3}{s}

Step-by-step explanation:

This is a related rate problem because you know a rate and want to find another rate that is related to it. If 2 variables both vary with respect to time and have a relation between them, we can express the rate of change of one in terms of the other.

From the information given we know:

  • \frac{dr}{dt}=\frac{1}{2}\:\frac{cm}{s}
  • \frac{dh}{dt}=\frac{1}{2}\:\frac{cm}{s}
  • The volume of a cone of radius r and height h is given by V=\frac{1}{3} \pi r^2 h

We want to find the rate of change of the volume \frac{dV}{dt} when the height is 9 centimeters and the radius is 6 centimeters.

Applying implicit differentiation to the formula of the volume of a cone we get

\frac{dV}{dt}=\frac{1}{3}\pi [r^2\frac{dh}{dt}+2rh\frac{dr}{dt} ]

Substituting the values we know into the above formula:

\frac{dV}{dt}=\frac{1}{3}\pi [(6)^2\frac{1}{2}+2(6)(9)\frac{1}{2} ]\\\\\frac{dV}{dt}=\frac{1}{3}\pi[18+54]\\\\\frac{dV}{dt}=\frac{72\pi}{3}=24\pi \:\frac{cm^3}{s}

5 0
4 years ago
Whats 3,000 - 2345 then add 10,000 more to your total then subtract it from 2345
mel-nik [20]
<span>3,000 - 2345
655

655 + 10000
10655

2345 - 10655
(-8310)</span>
3 0
4 years ago
Carla bought 66 inches of pink ribbon and 36 inches of white ribbon. She wanted to cut each ribbon into 6 equal pieces.
ludmilkaskok [199]
The question is a little confusing. I would probably say multiplication? You need to divide both by 6, because she wants 6 pieces to fit into both values. So 66/6=11 and 36/6=6. Then I suppose a subtraction to find the difference, which would be 11-6=5, so 5 inches difference between one piece of pink and one piece of white. Hope I got this right and that was actually what the question was asking haha. Sorry if not
8 0
3 years ago
I need help with these questions!!<br> 25 points!!!!<br> That’s what I have
Troyanec [42]

Answer:

7. D

8. A

9. D

10. B

11 A)  640 = 0.8j

11 B)   \frac{0.8j}{1.15}

Step-by-step explanation:

7.

Let Emmet work for "m" minutes

Since, Cal worked 4times as this, we can say Cal worked for "4m" minutes

Now, the total time (CAL + EMMET) is 720, so we SUM UP their individual times' expression and equate to 720. Shown below:

4m + m = 720

This is Answer choice D

8.

Let s be the price of each shirt

Each shirt costs "s" each, so 4 shirts cost "4s" in total.

4 shirts costs 60 AFTER 10 dollar discount, so before discount, it was:

60 + 10 = 70 dollars

Hence, 4 shirts cost 70 dollars BEFORE discount, so we can say:

4s = 70

But none of the choices are this, we need to simply manipulate this equation to get our answer (from choices).

<em>How did we get 70? We added 60 and 10. So we can put "60" on the right hand side and "-10" on the left hand side to get:</em>

<em>4s - 10 = 60</em>

<em />

<em>This is ultimatley 4s = 70</em>

<em>So the correct answer choice is A</em>

9.

Let Tony's age be "y"

We know grandmother is "3 years MORE than 6 times TONY (y)", thus we can write:

Grandmother is "6y + 3"

Total sum of them both is 87. Thus we can SUM both these expressions and equate to 87. Thus,

y + 6y + 3 = 87

D is the correct choice.

10.

THe total length is "f"

Each piece cut is 3/4

So the number of pieces is the total by each piece, so that is

\frac{f}{\frac{3}{4}}

All these "number of pieces" makes 6 shelves (since he used all), so we equate this expression to "6".   Now we have:

\frac{f}{\frac{3}{4}}=6

That is answer choice B

11 A)

Let Jocelyn's computer's price be "j",

Adrian's is 640, which is 20% LESS THAN Jocelyn's (j), so we can say:

640 is 20% less than "j"

or

"20% less than j" would be:

j - 0.2j = 0.8j

Now, we can write:

640 = 0.8j

11 B)

We can say:

Adrian is 15% more than Corbin

or

A = 0.15C + C

A = 1.15C

[note: let adrian's computer price be A and Corbin's computer price be C]

Also we know

0.8j = Adrian

We can put this in to get:

A = 1.15C

C = A/1.15

C = 0.8j/1.15

THis is an expression for Corbin's computer price in terms of j:

\frac{0.8j}{1.15}

5 0
3 years ago
Find four consecutive odd integers whose sum is 8
oksano4ka [1.4K]

Answer:

4x + 12 = 8; 4x = -4; x = -1. Therefore the four consecutive odd integers are -1, 1, 3, 5.

Step-by-step explanation:

8 0
3 years ago
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