Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let
be the depth of water in the barrel at time
, where
is measured in inches and
in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

where
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by

Multiply by 

Take integral

Integrate

Isolate 

We know that the water level starts at 36, this means
. We use this information to find the value of
.


At t = 1, y = 34

So our formula for the depth of water in the barrel is

To find the time,
, at which all the water leaks out of the barrel, we solve the equation

Thus, it will take about 35.49 hours for the water to leak out of the barrel.
<span>Shortest side = x, Longest Side = 4x-1, third side = 18
Equation is x + (4x-1) + 18 = 42 so 5x-1 = 42-18=24 and 5x=25 so x = 5, longest side = 4(5)-1=19, third side=18
Add all 3 (5+19+18) to get 42</span>
Answer:
it takes 48 days for 15 men to work
it takes 16 days for 15/48*16
the answer is 5 men
The research question is important to a researcher as it helps in solving the issue that the researcher wants to solve.
- The research topic will be "Social media has an effect on the behavior of children".
- The research question will be "what effect does social media has on the effects of the behavior of children".
- The null hypothesis will be "there is no statistical significance between social media and children's behavior".
- The alternative hypothesis will be "there is a statistical significance between social media and children's behavior".
- The null hypothesis will be rejected when the p-value is equal to the significance level or it's less than it.
Read related link on:
brainly.com/question/16790506
Answer:
It would be the second distribution in the fist picture, and the first distribution in the second picture
Step-by-step explanation:
The median is the middle number of a set of numbers, for example, the median in 3, 5, 9, 10, 11, 15, 20 would be 10, since it is the middle number. For the two distributions, that is the best measure of center