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3 years ago

A small pool is being filled with water using a garden hose. The graph shows the percentage of the pool that is full over time.

Mathematics

2 answers:

allsm [11]3 years ago

6 0

I believe its c hope it helps

denis-greek [22]3 years ago

5 0

The answer is B).....

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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

Trabajadores 360 180 120 80 60

My name is Ann [436]

Answer:

Step-by-step explanation:

answer is b

3 0

3 years ago

After telling tickets to a dance for $3.25 each, the student council brought in $1020.50 from ticket sales. How many tickets did

Scilla [17]

$1020.50 \div 3.25 = 314$
So that means that they sold 314 tickets

4 0

3 years ago

Read 2 more answers

I need help with these 2

Slav-nsk [51]

Answer:

Step-by-step explanation: Hey for the second one I got y = -3/4x -0.5 I'm not sure if its correct though sorry if not
ill try my best to explain my solution though
1. From the parallel equation (3x + 4y = 12) all we need to do is find the slope

So the easiest way to do so is to put the said equation in <u>y-intercept </u>form

y=mx +b
m= slope

b= y intercept

so 1. 3x + 4y = 12

4y = 12-3x

divide that by 4 to get only y

y=3-3/4x

-3/4 is our slope

y=-3/4x+b

than we have a point -2, -2

if we put -2 for y

-2=-3/4x+b

and then we put our -2 for x
-2 = -3/4 * -2 + b

-2 = -1.5 +b
b=-0.5

Answer : y=-3/4x-0.5

4 0

2 years ago

What is 5/6 - (-3/4)

Vladimir [108]

20/24-(-18/24)=38/24
Subtracting a negative is adding a positive.
20/24+18/38
38/24
24 goes into 38 once and 14/24 is left over.
1 14/24
Divide the fraction by two for simplest form.
1 7/12

6 0

3 years ago

Read 2 more answers