Answer:
The rate of study is 5 items per hour.
Step-by-step explanation:
Number of items a person can learn after t hours of instruction, w(t) is given by:
![w(t)=15\sqrt[3]{t^{2}}](https://tex.z-dn.net/?f=w%28t%29%3D15%5Csqrt%5B3%5D%7Bt%5E%7B2%7D%7D)
We want to determine the rate of learning at any time t. The rate is the derivative of w(t) with respect to time.
![\frac{dw(t)}{dt} =\frac{d}{dt} 15\sqrt[3]{t^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%28t%29%7D%7Bdt%7D%20%3D%5Cfrac%7Bd%7D%7Bdt%7D%2015%5Csqrt%5B3%5D%7Bt%5E%7B2%7D%7D)
![\frac{dw(t)}{dt} =15\frac{d}{dt} {t^{2/3}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%28t%29%7D%7Bdt%7D%20%3D15%5Cfrac%7Bd%7D%7Bdt%7D%20%7Bt%5E%7B2%2F3%7D%7D)
![\frac{dw(t)}{dt} =15X\frac{2}{3} {t^{2/3-1}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%28t%29%7D%7Bdt%7D%20%3D15X%5Cfrac%7B2%7D%7B3%7D%20%7Bt%5E%7B2%2F3-1%7D%7D)
![\frac{dw(t)}{dt} =10 {t^{-\frac{1}{3} }}=\frac{10}{t^\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%28t%29%7D%7Bdt%7D%20%3D10%20%7Bt%5E%7B-%5Cfrac%7B1%7D%7B3%7D%20%7D%7D%3D%5Cfrac%7B10%7D%7Bt%5E%5Cfrac%7B1%7D%7B3%7D%7D)
Therefore, the rate of learning at any time t
![\frac{dw(t)}{dt} =\frac{10}{t^\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%28t%29%7D%7Bdt%7D%20%3D%5Cfrac%7B10%7D%7Bt%5E%5Cfrac%7B1%7D%7B3%7D%7D)
At the end of 8 hours, t=8
![\frac{dw(t)}{dt} =\frac{10}{8^\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdw%28t%29%7D%7Bdt%7D%20%3D%5Cfrac%7B10%7D%7B8%5E%5Cfrac%7B1%7D%7B3%7D%7D)
=5
The rate of study is 5 items per hour.
Answer:
its d cuz im a big brain :)
Step-by-step explanation:
1.8×10 to the power of 8
8.0×10 to the power of 6
1.2 ×10 to the power of 6
2.4×10 to the power of 2
Answer:
AB = PQ
Step-by-step explanation:
ABC = PQR
The angles are equal and the segments are equal
for the angles
A = P
B = Q
C = R
For the segments
AB = PQ
BC = QR
AC = PR
22,000 x 2= 44,000
120%
So I think it would equal to 345,600,0
I am not sure
P.S. I am not good at math sorry if it is wrong...