A school sing games played 160 games and won 65 percent of them how many games did the team win?

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

Need help solving this problem

natka813 [3]

Answer:

Part 1: $\frac{11-x}{5}$ or $\frac{11}{5}-\frac{x}{5}$

Part 2: $\frac{9}{5}$

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get $5y=11-x$ (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

$\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}$

$y=\frac{11}{5}-\frac{x}{5}$

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is $\frac{11}{5}-\frac{x}{5}$ .

For the second part you must replace x with 2 since you need to find f(2).

$\frac{11-2}{5}$

Your answer for part 2 is $\frac{9}{5}$ .

3 0

2 years ago

Graph: y – 3 = } (x + 2)

Natalija [7]

Answer:x2 355b. Hhgguyuy

Step-by-step explanation:

7 0

2 years ago

How to simplify -12 divided by 3•(-8+(-4) to the seccond power-6)+2

ehidna [41]

-12/3<span>•(-8(-4)^2-6)+2 Original Equation
-12/3</span><span>•(-8+16-6)+2 Simplify the (-4)^2
-12/3</span><span>•(2)+2 Simplify everything inside the equation
-8+2 Using PEMDAS, you multiply -12/3</span><span>•(2)
-6 You add from there</span>

7 0

3 years ago

Bowling alley A charges to rent shoes and per game. Bowling alley B charges to re shoes and per game. a. For what numbers of gam

matrenka [14]

The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.

<h3>How to illustrate the information?</h3>

Fron the information given, the equation will be:

s + 4g = 13

s + 8g = 23

4g = 10

g = 2.5

Therefore, the price of each game is $2.5

The price of shoe rental will be:

s + 4g = 13

s + 4(2.50) = 13

s = 13 - 10.

s = 3

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

4 0

1 year ago