Answer:
110,323.7505 or 110,324
Step-by-step explanation:
We need to take the integral of b(t) - d(t) over the interval of [0, 10]. This will tell us the average population over a 10 year period.
We are counting all the birth (additions to the population) and counting the deaths (subtractions to the population), so overall population is calculated by:
Population = birth rate - death rate
We take the anti derivatives of b(t) and d(t), see all work on the attached photo
A common denominator for 2/5 is 4/10 because 2/5 times the denominator and numerator by 2 is 4/10
And the common denominator for 1/2 is 5/10 because 1/2 times the denominator and numerator by 5 is 5/10
So the equivalent denominators for both fractions is 4/10 and 5/10
Answer:
The answer is "3.51".
Step-by-step explanation:
![=\frac{960-945}{\sqrt{\frac{14^2}{20}+\frac{13^2}{20}}}\\\\=\frac{15}{\sqrt{\frac{196}{20}+\frac{169}{20}}}\\\\=\frac{15}{\sqrt{\frac{196+169}{20}}}\\=\frac{15}{\sqrt{\frac{365}{20}}}\\\\=\frac{15}{\sqrt{18.25}}\\\\=\frac{15}{4.27}\\\\=3.51](https://tex.z-dn.net/?f=%3D%5Cfrac%7B960-945%7D%7B%5Csqrt%7B%5Cfrac%7B14%5E2%7D%7B20%7D%2B%5Cfrac%7B13%5E2%7D%7B20%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B15%7D%7B%5Csqrt%7B%5Cfrac%7B196%7D%7B20%7D%2B%5Cfrac%7B169%7D%7B20%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B15%7D%7B%5Csqrt%7B%5Cfrac%7B196%2B169%7D%7B20%7D%7D%7D%5C%5C%3D%5Cfrac%7B15%7D%7B%5Csqrt%7B%5Cfrac%7B365%7D%7B20%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B15%7D%7B%5Csqrt%7B18.25%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B15%7D%7B4.27%7D%5C%5C%5C%5C%3D3.51)
Convert your feet to inches.
So 8 times by 12 = 96 inches
if you have 3/4 of the board used.
3/4= .75
if you were to times 96 by .75 = 72 inches.
So you used 72 inches and you have 24 inches left
now do 1/3= .33
times .33 by 24= 8
8 inches is how long you would give to Anthony's brother.
Answer:
151.5
Step-by-step explanation:
the ratios of the sides PQ:ST=4:3, and the perimeter of POQ is 202, so 3/4 of 202 is 151.5