Answer:
L(t) = 5·sin(πt) +7
Step-by-step explanation:
The middle of the oscillation of the given function occurs when t=0. At that point, ...
L(0) = d = 7
The next maximum of the oscillation occurs when the argument of the sine function is π/2.
b·t = π/2
b = π/(2t) = π/(2·0.5) = π
At that maximum, the length is 12, so we have ...
L(0.5) = a·sin(0.5π) +7 = 12
a = 5
The function L(t) is ...
L(t) = 5·sin(πt) +7
Answer:
0
Step-by-step explanation:
0, because there are no white marbles in the jar. So it is impossible.
Answer:
Which of the following is the scaling factor a of the function f(x) = 3|x|?
Step-by-step explanation:
Answer:
22.43
Step-by-step explanation:
three points ==> it's a triangle
so we will just have to calculate the length of each side
U & V has the same y-coordinate, which means UV is a horizontal line ==>
UV = 3 - (-2) = 5
V & W has the same x-coordinate, which means VW is a vertical line ==>
VW = 4 - (-4) = 8
UW is not a horizontal line nor a vertical line, so we will have to calculate it using distance formula
UW = sqrt { [3 - (-2)]^2 + [-4 - 4]^2 } = sqrt{25 + 64} = sqrt(89) ~~ 9.43
so the perimeter of the polygon is UV + VW + UW = 5 + 8 + 9.43 = 22.43
