Jojo likes to paint. She estimates the number of paintings she completes using the function P of w equals two thirds times w min
2 answers:
Answer:
Step-by-step explanation:
If Jojo completes P number of paintings working w weeks then the relation between P and w is given by . ........ (1)
Again, the function J(y) represents how many weeks per year she spends painting.
So, w = J(y). ...... (2)
Therefore, the composite function which represent how many paintings Jojo completes in a year, is given by
(Answer)
You might be interested in
Answer:
Step-by-step explanation:
Given,
The number of cartons = k,
Time taken by machine a = 8 hours,
So, the number of cartons made by machine a in one hour
=
=
Time taken by machine b = 4 hours ,
So, the number of cartons made by machine b in one hour
=
Total cartons made in 1 hour =
∵ for the whole number value of k,
i.e. machine b is faster,
Also, the percent of the cartons were sealed by the machine b
Hence, OPTION D is correct.
We assume you intend h(t) to be the usual equation of ballistic motion
h(t) = -16t² + 40t + 10
a. The function can be written in vertex form as
h(t) = -16(t² -5/2t) +10
h(t) = -16(t² -5/2t +(5/4)²) + 10 +5²
h(t) = -16(t -5/4)² + 35
This is the vertex form a(x-h)²+k where (h, k) is the vertex of the parabola. The maximum height will be "k" for a < 0, which it is.
The ball's maximum height is 35 ft.
b. h(t) = 0 for the value of t that satisfies
0 = -16(t -5/4)² + 35
(t -5/4)² = 35/16
t = (5 +√35)/4 ≈ 2.729
About 2.729 seconds have passed when the ball hits the ground.
_____
I find it convenient to let a graphing calculator tell you the answers to these questions. As above, the maximum height is the y-coordinate of the vertex. The elapsed time is the x-coordinate of the positive x-intercept.
h(t) = -16t² + 40t + 10
a. The function can be written in vertex form as
h(t) = -16(t² -5/2t) +10
h(t) = -16(t² -5/2t +(5/4)²) + 10 +5²
h(t) = -16(t -5/4)² + 35
This is the vertex form a(x-h)²+k where (h, k) is the vertex of the parabola. The maximum height will be "k" for a < 0, which it is.
The ball's maximum height is 35 ft.
b. h(t) = 0 for the value of t that satisfies
0 = -16(t -5/4)² + 35
(t -5/4)² = 35/16
t = (5 +√35)/4 ≈ 2.729
About 2.729 seconds have passed when the ball hits the ground.
_____
I find it convenient to let a graphing calculator tell you the answers to these questions. As above, the maximum height is the y-coordinate of the vertex. The elapsed time is the x-coordinate of the positive x-intercept.