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3 years ago

9t - 6 - 6t = 6 show work

Mathematics

2 answers:

kotegsom [21]3 years ago

8 0

$9t - 6 - 6t = 6\\
3t=12\\
t=4$

ICE Princess25 [194]3 years ago

7 0

9t-6-6t=6 -- add 6 to both sides
9t-6t=12 -- combine like terms
3t=12 -- divide by 3

t=4

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Find the perimeter

Inga [223]

Answer:

Step-by-step explanation:

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3 years ago

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

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

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

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$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

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3 years ago

What is 5/12 + 1/3?

Anika [276]

Here is the answer. Addition of fraction sometimes needs L.C.M. (Lowest Common Multiple)

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2 years ago

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Hi everyone!! Can someone tell me how do I find the mode on a list of numbers? REMEMBER even if 2 people have the same answer th

Alexus [3.1K]

Mode, is very easy to understand.

You have a list of numbers; 1,2,3,4,5,5,4,5

You have the question, "What is the Mode for this list of numbers?"

First off, what is Mode?

Mode is the value (number) that appears most often in a set of data. That being said, go back to the list given above.

1,2,3,4,5,5,4,5

The numbers that appear most often is 4 and 5.

4 appears 2 times
5 appears 3 times

But, remember, Mode is the value that appears most OFTEN;

Thus, the Mode for this example is 5.

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2 years ago

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lapo4ka [179]

Answer: I think it's 163

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2 years ago