Answer:
we choose f(x) = π cos(πx)
Step-by-step explanation:
Given the information:
Let analyse all possible answers;
1/ f(x) = -2 sec(x)
when x= 0 we have: f(0) = -2 sec(0) = -2
= -2 wrong
2. f(x) = 7sin(x/4 - 1/29)
when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong
3. (x) = π cos(πx)
when x= 0 we have: f(0) = πcos(π0)
= cos(0) = π0 = 0
when x= 2 we have: f(2) = πcos(π2)
= πcos(0) = π
True
4. f(x) = 2π cos(x - π/2)
when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0
when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong
So we choose f(x) = π cos(πx)
Answer:
Therefore, the distance between points A and B is approximately equal to 6.4 inches.
The side on the front of 30° is 1/2 of hypytenuse
Then 1/2 of 4=2 and the ather side with theorem of pytagore is squares root of(4^2-2^2)=sq .root of 12
This side(square root of 12) is 1/2 of hypotenuse then
Hypotenuse is 2*square root 12
X^2=(2*sq .root12)^2 -(square root 12)^2
X^2=48-12=36
X=6
Answer: -273
Step-by-step explanation:
This is an arithmetic progression and the formula to find the nth term is given as:
= a + (n-1)d
Therefore, the 100th term will be:
= a + (n-1)d
= a + (100 - 1)d
= a + 99d
where a = 222
d = -5
Therefore, a + 99d = 222 + 99(-5)
= 222 + (-495)
= 222 - 495
= -273
Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116
By using the standard normal distribution table for z , we have
Hence, the required probability = 0.2119
