128 inches
for area , you multiply length times height so it’d be 16 x 8 :)
Step-by-step explanation:
You see the 90 degree angle marking at the top left so that angle is 90 degrees. However, it is bisected into two so both sections of that 90 degree angle equal 45. One triangle is equal to 180 degrees, so the triangle at the tops' missing angle is 52. I don't know if you heard of vertical angles but that angle opposite 83, because it is a vertical angle, is also 83 degrees. This is as far as I've gotten. Not sure how to solve the rest without more information
Answer: The probability of you drawing a dime is 0.24
Step-by-step explanation:
5 quarters, 6 dimes, 2 nickels, 12 pennies
5+6+2+12= 25
6/25= 0.24 or 24%
Answer: a) -24
b) 
c) 4
Step-by-step explanation:
a) To determine the value of (fg)', use the product rule of derivative, i.e.:
(fg)'(x) = f'(x)g(x) + f(x)g'(x)
(fg)'(5) = f'(5)g(5) + f(5)g'(5)
(fg)'(5) = 6(-5) + 3(2)
(fg)'(5) = -24
b) The value is given by the use of the quotient rule of derivative:
![(\frac{f}{g})'(x)=\frac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%27%28x%29%3D%5Cfrac%7Bf%27%28x%29g%28x%29-f%28x%29g%27%28x%29%7D%7B%5Bg%28x%29%5D%5E2%7D)
![(\frac{f}{g})' (5)=\frac{f'(5)g(5)-f(5)g'(5)}{[g(5)]^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%27%20%285%29%3D%5Cfrac%7Bf%27%285%29g%285%29-f%285%29g%27%285%29%7D%7B%5Bg%285%29%5D%5E2%7D)
c) ![(\frac{g}{f})'(5)=\frac{g'(5)f(5)-g(5)f'(5)}{[f(5)]^{2}}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bg%7D%7Bf%7D%29%27%285%29%3D%5Cfrac%7Bg%27%285%29f%285%29-g%285%29f%27%285%29%7D%7B%5Bf%285%29%5D%5E%7B2%7D%7D)
Answer: 1,599,960
Step-by-step explanation:
Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:
= (1.2 million - 900000) / 900000 × 100
= 300000/900000 × 100
= 33.33%
Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:
= (100% + 33.33%) × 1.2 million
= 133.33% × 1.2 million
= 1.3333 × 1.2 million
= 1,599,960
The population in 2012 is 1,599,960
