Answer:
Step-by-step explanation:
A) 16.13 = 12(1.03)ⁿ
1.344 = (1.03)ⁿ
ln(1.344) = n(ln(1.03))
n = (ln(1.344)) / ln(1.03)
n = 10.0062...
so a domain of 0 ≤ n ≤ 10 is reasonable
B) y-intercept is the height of the plant on day 0 which would be 12 cm
C) f(3) = 12(1.03)³ = 13.11 cm
average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7
= 0.43 cm/day or average growth per day
Answer:
1.060
Step-by-step explanation:
I added 1 tenth to the answer.I'm sorry if the answer if wrong. math isnt my best just trying to help
Answer: Choice 2) A, B, C
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Explanation:
Use a calculator to find that,
- 946/32 = 29.5625
- 1157/11 = 105.1818 approximately
- 3524/44 = 80.0909 approximately
- 37392/82 = 456
The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.
As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.
Answer:
x = 32.6666667
Step-by-step explanation:
12(x - 2) + 3x = 12(x + 6) + 2
Distribute;
12x - 24 + 3x = 12x + 72 + 2
Collect like terms;
15x - 24 = 12x + 74
Subtract 12x from both sides;
3x - 24 = 74
Add 24 to both sides;
3x = 98
Divide both sides by 3;
x = 32.6666667
The area of the paper used to wrap the gift is 3 3/4 square feet
<h3>How to determine the total area?</h3>
The dimension is given as:
1 1/4 by 3
The area is the product of the dimensions.
So, we have
Area = 1 1/4 * 3
Express as an improper fraction
Area = 5/4 * 3
Evaluate
Area = 15/4
Rewrite as:
Area = 3 3/4
Hence, the area of the paper used to wrap the gift is 3 3/4 square feet
Read more about areas at:
brainly.com/question/24487155
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