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2 years ago

What percent of 300 is 51?

1 answer:

5 0

Is 250 basically in 50 but the percentage of the 100 is 50% of the hundred right does that mean in this question it would have to be 250 is half of 300

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

3 years ago

Thirteen equals one plus four s

victus00 [196]

13=1+4s
So you find S
So you take out 1, and subtract 1 from thirteen
12=4s so then you divide it by 4
12÷4=3
s=3

6 0

2 years ago

What is the slope of a line represented by the equation 2y = x – 4

wariber [46]

Answer:

the Slope is $\frac{x}{2}$

Step-by-step explanation:

6 0

2 years ago

Becky bought 11.5 meters of lace to put a border of equal length around the edge of 4 pillow covers. She was left with 2.5 meter

Charra [1.4K]

Probably it's the top sentence

4 0

2 years ago

Find the value of x so that the function has the given value.<br> f(x)=8x+2;f(x)=8

sesenic [268]

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2 years ago

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