Given :
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.
To Find :
The total number of questions on Stephanie's exam.
Solution :
Let, number of questions in Part 1 is x :
Let, number of questions in Part 2 is y :
Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.
Hence, this is the required solution.
The number of years it will take for the world’s population to increase to 8,252,000,000 people is 16
<h3>How to determine the number of years?</h3>
This implies that we calculate the value of x
The equation is given as:
8252=(6080)(1.02)^x
Divide both sides by 6080
1.36 = (1.02)^x
Take the logarithm of both sides
log(1.36) = x * log(1.02)
Divide both sides log(1.02)
x = log(1.36)/log(1.02)
Evaluate the quotient
x = 16
Hence, the number of years is 16
Read more about exponential functions at:
brainly.com/question/2456547
#SPJ1
<span>Part
A:
a) What do the x-intercepts and maximum value of the graph represent?
The x-intercepts are the distances at which the ball is on the ground.
First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.
b) What are the intervals where the function is increasing and decreasing,
and what do they represent about the distance and height? (6 points)
The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)
The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.
The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.
Part B: What is an approximate average rate of change of the graph from x
= 22 to x = 26, and what does this rate represent
On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.
So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:
change on f(x) 7 - 12
average rate of change = --------------------- = ----------- = -5/4
change of x 26 - 22
That rate represents that the ball fell about 5 ft per 4 ft in that interval.
</span>
93.86 is your answer.
I hope this helps!
