For every change in x, y changes 2/pi.
In order to find this we first need to evaluate the expression at the intervals.
x = 0
f(x) = 1 + sinx
f(0) = 1 + sin0
f(0) = 1 + 0
f(0) = 0
x = pi/2
f(x) = 1 + sinx
f(pi/2) = 1 + sin(pi/2)
f(pi/2) = 1 + 1
f(pi/2) = 2
So the total change in y is 1. So we divide that by how much x has changed in that interval to find the average rate of change.
1 / (pi/2) = 2/pi
The converse of a mathematical statement involves simply switching the hypothesis and the conclusion, thus:
"If a triangle is isosceles, then it is equilateral."
Answer:
d. 24,000 at 3% and 8,000 at 5.5%
Step-by-step explanation:
Let the principal for the 3% loan be and that for the 5.5% loan be . Let their respective interests be and .
Then
From the question, the sum of the interests is 4640.
Also, the total amount borrowed is 32000.
To solve the last two equations simultaneously, multiply the second by 0.12 and subtract from the first (this eliminates ).
From ,
Hence, $24,000 was borrowed at 3% and $8,000 was borrowed at 5.5%.
First you need to find the area of the park which would be 4.0 x 4.6 = 18.4 km^2
Then you divide that area by 8 which would be 18.4 / 8 = 2.3 km^2 for each section.
Your answer would be 2.3 km^2.
Answer:
A: 80
Step-by-step explanation:
As we know that the trend line is , we can plug in x=3 in order to find out the estimated score for 3 hours of studying
y=80.4 is closest to A: 80