Y - y1 = m(x-x1)
y - 7 = -3/2(x + 6)
Answer:
a. 73; b. 48.9; c. 2; d. 33.8; e. 73
Step-by-step explanation:
Assume the function was
S(t)= 73 - 15 ln(t + 1), t ≥ 0
a. Average score at t = 0
S(0) = 73 - 15 ln(0 + 1) = 73 - 15 ln(1) = 73 - 15(0) =73 - 0 = 73
b. Average score at t = 4
S(4) = 73 - 15 ln(4 + 1) = 73 - 15 ln(5) = 73 - 15(1.61) =73 - 24.14 = 48.9
c. Average score at t =24
S(24) = 73 - 15 ln(24 + 1) = 73 - 15 ln(25) = 73 - 15(3.22) =73 - 48.28 = 24.7
d. Percent of answers retained
At t = 0. the students retained 73 % of the answers.
At t = 24, they retained 24.7 % of the answers.

e. Maximum of the function
The maximum of the function is at t= 0.
Max = 73 %
The graph below shows your knowledge decay curve. Knowledge decays rapidly at first but slows as time goes on.
Answer:
2.
Step-by-step explanation:
We have been given an expression
and we are asked to find equivalent expression to our given expression.
Using fraction rule
we can write our expression as:
.
Upon dividing 10 by 5 we will get,
Upon using exponent property for quotient
we will get,
Therefore, our expression simplifies as
and 2nd option is the correct choice.
Answer:



Step-by-step explanation:
Use the Triangular Interior Angles Theorem to figure this out:
180° = [7x + 1]° + [6x - 6]° + 55°
180° = [−5 + 13x]° + 55°
180° = [50 + 13x]°
-50° - 50°
____________
![\frac{130°}{13} = \frac{[13x]°}{13} \\ \\ 10° = x](https://tex.z-dn.net/?f=%5Cfrac%7B130%C2%B0%7D%7B13%7D%20%3D%20%5Cfrac%7B%5B13x%5D%C2%B0%7D%7B13%7D%20%5C%5C%20%5C%5C%2010%C2%B0%20%3D%20x)
You then plug this back into all three expressions to get 71° as the measure of ∠G and 54° as the measure of ∠T.
I am joyous to assist you anytime.
The probability of the spinner stopping on a 1, 2, 3 or 4, would be 100%, since these are the only numbers on the spinner (it is always going to land one of these numbers).
The probability of landing on 1, would be 25%, because there are 4 sections, each with a different number on it. So 100% divided by 4, is 25%.
Now, for your question. What is the probability that it would land on 1, 2 or 3? The answer would be 75%, because now we are no longer dealing with one section of the spinner, but rather three sections, so we can multiply 25% by 3, and that gives us 75%.
Short answer:
75% because the sections 1, 2 and 3 take up 75% of the spinner.