Answer: A) 
B) H = 5.10
C) Yes
Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: 
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:



Using a natural logarithm property called <em>power rule:</em>



The decay function for concentration of DDT through the years is 
B) The value of H is calculated by 


Again, using power rule for logarithm:



H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model
to determine concentration of DDT in 1995:

y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.
a) The linear function that models the amount of water after t minutes is given by:

b) It takes 92 minutes to completely fill the pond.
Item a:
- Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
- Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.
Then, the function is:

Item b:
It takes t minutes to fill the pond, t is found for which:

Then




It takes 92 minutes to completely fill the pond.
A similar problem is given at brainly.com/question/16302622
It would be 2^12 (to the twelfth power) What you do is you multiply the power that's inside of the parentheses and the one on the outside. Since they are both negative, the power will end up being positive. And if you need to multiply it out, it would be 4096.
Answer:
32 and 33
Step-by-step explanation:
65-33=32
32+33=65 hope this helps