Given:
An exponential function 
passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
Taking square root on both sides.
For an exponential function b cannot be negative. So, 
.
Therefore, the value of a is 12000 and the value of b is 
.
So the first thing you want to do is solve what's in the parentheses (4^2-3) before you subtract, you get rid of the exponent by doing 4 times 4 (also known as 4^2) to get 16. you then subtract 3 from 16 getting 13. you then multiply7 by 13 to get 91, where you add the 8 to get 99 which would be the final answer
Answer:
A) 24*m + 40 ≤ 256
B) She could leave the house running for at most 9 minutes
Step-by-step explanation:
The missing questions are:
<em>Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.
</em>
<em>
Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.</em>
A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:
24*m + 40 ≤ 256
B) Solving the previous equation:
24*m ≤ 256 - 40
m ≤ 216/24
m ≤ 9
Hello!
To solve this we have to find what 82% of 50 is
So we do 50 * 0.82 where 0.82 is 82% as a decimal.
This gives us 41
So the answer is D
Hope this helps!
If you start with a ratio in the form p/q and want a ratio with a denominator of 1, simply divided p by q.
So suppose you are given the ratio 35/10 (so that p = 35, q = 10).
Then divide 35 by 10 which gives 3.5.
<span>So the units ratio is 3.5:1 or (7/2):1</span>
