Answer:
A. 7,348
Step-by-step explanation:
P = le^kt
intitial population = 500
time = 4 hrs
end population = 3,000
So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.
A = Pe^rt
3,000 = 500e^r4
now we can solve for r
divide both sides by 500
6 = e^r4
now because the variable is in the exponent, we have to use a log

ln(6) = 4r
we can plug the log into a calculator to get
1.79 = 4r
divide both sides by 4
r = .448
now lets plug it back in
A = 500e^(.448)(6 hrs)
A = 7351.12
This is closest to answer A. 7,348
Answer: B is correct, 40 degrees.
Step-by-step explanation:
70 is the given angle, z is equivalent to that angle, so z is 70. So add those together, and you have 140. According to the rule, a triangle will always add up to 180. So 180-140=40 and there's your answer. Hope this helps!
If we substitute 2 into x it'll be:
Answer:

Step-by-step explanation:

- First, lets get rid of the fraction. I did this by multiplying both sides by
.

- We want to isolate
on one side of this equation. Let's put any values with
on one side of the equation, and normal integers on the other.

- Divide both sides by
.

- If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

Answer:
![\frac{ \sqrt[3]{x} }{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20%7D%7B9%7D%20)
Quotient means the answer after dividing two numbers.