All categories

3 years ago

(GIVING BRAINLIEST!!!)

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

Answer:

Step-by-step explanation:

5/30 = 1/6

You might be interested in

A tank has the shape of a surface generated by revolving the parabolic segment y = x2 for 0 ≤ x ≤ 3 about the y-axis (measuremen

Darina [25.2K]

Answer:

$100\pi\int\limits^9_0 {(\sqrt y)^2(14-y)} \, dy$ ft-lbs.

Step-by-step explanation:

Given:

The shape of the tank is obtained by revolving $y=x^2$ about y axis in the interval $0\leq x\leq 3$ .

Density of the fluid in the tank, $D=100\ lbs/ft^3$

Let the initial height of the fluid be 'y' feet from the bottom.

The bottom of the tank is, $y(0)=0^2=0$

Now, the height has to be raised to a height 5 feet above the top of the tank.

The height of top of the tank is obtained by plugging in $x=3$ in the parabolic equation . This gives,

$H=3^2=9\ ft$

So, the height of top of tank is, $y(3)=H=9\ ft$

Now, 5 ft above 'H' means $H+5=9+5=14$

Therefore, the increase in height of the top surface of the fluid in the tank is given as:

$\Delta y=(14-y)$ ft

Now, area of cross section of the tank is given as:

$A(y)=\pi r^2\\r\to radius\ of\ the\ cross\ section$

Radius is the distance of a point on the parabola from the y axis. This is nothing but the x-coordinate of the point.

We have, $y=x^2$

So, $x=\sqrt y$

Therefore, radius, $r=\sqrt y$

Now, area of cross section is, $A(y)=\pi (\sqrt y)^2$

Work done in pumping the contents to 5 feet above is given as:

$W=D\int\limits^{y(3)}_{y(0)} {A(y)(\Delta y)} \, dy$

Plug in all the values. This gives,

$W=100\int\limits^9_0 {\pi (\sqrt y)^2(14-y)} \, dy\\\\W=100\pi\int\limits^9_0 { (\sqrt y)^2(14-y)} \, dy\textrm{ ft-lbs}$

7 0

3 years ago

Graph y = sin^-1(-1/2x) the interval-5

Lana71 [14]

Not enough information

5 0

4 years ago

ASAP NO LINKS EXPLANATION PLEASE a boat traveled 400 miles in 8 hours find its rate of speed in miles per hours

Vladimir79 [104]

Answer:

50 miles per hours

Step-by-step explanation:

400 miles per 8 hours is the same as

200 miles for 4 hours which is the same as

100 miles for 2 hours which is still the same as

50 miles per hour

I just divided each one by two until I reached the unit rate

5 0

2 years ago

Read 2 more answers

ILL GIVE U BRAINLY IF U GET THIS RIGHT A paper company produces 2,295 notebooks in 3 days. How many notebooks can it produce in

solong [7]

Answer:

they will produce 8415 notebooks in 11 days.

3 0

3 years ago

Read 2 more answers

The concession stand made $1050 at this week’s football game that is three and out $375 less the last week how much the concessi

jeka57 [31]

The answer is $1425.

5 0

3 years ago