Answer:
4 sin (2x - 4).
Step-by-step explanation:
The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.
Our formula is 4 sin (2(x - 2))
= 4 sin (2x - 4).
Answer:
4 mph
Step-by-step explanation:
The average speed of an object is given by the total distance covered by the time taken:

where
d is the total distance covered
t is the time taken
in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

Then the distance covered in the second part is
, so the total distance is
(1)
The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

So we can write the average speed as
(1)
We want the average speed to be 5 mph,
v = 5 mph
Therefore we can rearrange eq.(1) to find d2:

And therefore, the speed in the second part must be

Answer:
Step-by-step explanation:
julia : 20 miles in 1.2 hrs = (20/1.2) = 16.67 miles per hr
katie : 20 miles in 1.6 hrs = (20 / 1.6) = 12.5 miles per hr
how much faster does julia ride then katie...
16.67 - 12.5 = 4.17 rounds to 4.2 miles per hr faster <==
1:6
i got my answer for using ratios
Answer:
The unknown is 100
Step-by-step explanation:
A straight line is 180 degrees
We have two angles x, and 80
x+80 = 180
x = 180-80
x= 100