Answer:
M(t) = M(16 - 2·t)
Step-by-step explanation:
The function is just formed by using the concept of composite functions.
B is cups of blueberries, and n is cups of blueberries,
So by substituting values the required equations formed are given by :
B(t) = 2·(8 - t)
M(n) = 12·n
n = B(t)
M(t) = M(n)
= M(B(t))
= M(2·(8 - t))
= M(16 - 2·t)
Therefore, this is the required function muffins M
Answer:
293.38 pounds
Step-by-step explanation:
We are given that
Distance between poles=35 feet
Weight of cable=10.4 per linear foot
We have to find the weight of the cable.
Differentiate w.r.t
Let 
![s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B2%7D%7B0.0225%7D%5Ctimes%5Cfrac%7B2%7D%7B3%7D%5Bt%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5D%5E%7B17.5%7D_%7B0%7D)
![s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}](https://tex.z-dn.net/?f=s%3D2%5Ctimes%20%5Cfrac%7B2%7D%7B3%5Ctimes0.0225%7D%5B%281%2B0.0255x%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%5D%5E%7B17.5%7D_%7B0%7D)
s=28.21
Weight of cable=
pound
The answer would be 26.25
Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
__
For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
_____
<em>Additional comment</em>
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)
Answer:
1159
Step-by-step explanation:
She wants to read 1000 pages per week for five weeks.
So in total she wants to read 1000 * 5 = 5000 pages.
The first three weeks she read 894 pages per week.
So during the first three weeks she read a total of 894 * 3 = 2682 pages.
We want to find how many pages she must read per week for the last two weeks to reach her goal.
Goal: 5000 pages
Pages read so far: 2682
Weeks remaining: 2
To find how many pages she must read for the last two weeks we simply subtract the number of pages she read during the first 3 weeks (2682 ) by her goal ( 5000 )
5000 - 2682 = 2318
So she must read 2318 pages during the last 2 weeks.
If we want to find the amount of pages she must read per week during the last 2 weeks to reach her goal, we simply divide the amount of pages she must read during the last few weeks to reach her goal ( 2318 ) by the number of remaining weeks ( 2 )
2318 / 2 = 1159
So for the last two weeks she must average 1159 pages per week.
