Using an exponential function, it is found that:
a) 
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
Item b:
This is N when t = 3.8, hence:
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
StartFraction 2 A Over b EndFraction = h
Step-by-step explanation:
Total tickets = 70
Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
Subtract 5y - 8 from 2y + 8
To subtract two numbers, we can do it like this:
10 - 4 = 10 + (-4)
That is, add the first number with the second number with its sign changed. For simple numbers, it does not make much difference, but for algebraic expressions, it can help a lot.
To subtract both binomials, we write the first plus the second with changed signs:
2y + 8
-5y + 8
---------------
-3y + 16
The result of the subtraction is -3y+16
