Answer:
It will travel high enough
Step-by-step explanation:
Find the vertex of the parabola:
x=-b/2a
x=-11/2(-16)
x=-11/-32
x=11/32
Plug x=11/32 into quadratic to get the y-coordinate:
h=-16(11/32)^2+11(11/32)+5.5
h=7.391
Since 7.391>7.3, the volleyball will travel high enough (aka. yes)
Answer: The cost per game is $5.5
Step-by-step explanation:
Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.
This means that amount paid for x number of games = 20 - 3.5 = $16.5
If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3
If the total number of games played cost 16.5, therefore, the cost per game will be 16.5/3 = $5.5
D is correct I believe since the values has an outlier it automatically gets rid of using mean. The dots are somewhat symmetrical. And for something to be skewed the dots are to be “connected”
If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show
Let 
. Compute the inverse:
![f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}](https://tex.z-dn.net/?f=f%5Cleft%28f%5E%7B-1%7D%28x%29%5Cright%29%20%3D%20%5Csqrt%7B1%20%2B%20f%5E%7B-1%7D%28x%29%5E3%7D%20%3D%20x%20%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2-1%7D)
and we immediately notice that ![f^{-1}(x+1)=\sqrt[3]{x^2+2x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%2B1%29%3D%5Csqrt%5B3%5D%7Bx%5E2%2B2x%7D)
.
So, we can write the given integral as
Splitting up terms and replacing 
in the first integral, we get
T-m=25
3m=J
275=t+j+m
Matt spent 50 dollars
Jeff spent 150
and Tim spent 75
