Answer:
Step-by-step explanation:
9^8 to 9^10 involves a change (multiplication) of 9^8 by 9^2 (which is 81).
Over the given interval, f(x) increases by 81.
12 X 3 = 36ft of the area that Carlos will laminate
Answer: 1.106 s
Step-by-step explanation:
This situation is related to projectile motion and one the equation that models the height of the blueberry pie in time is:
![y=y_{o}+V_{o}sin(\theta) t-\frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=y%3Dy_%7Bo%7D%2BV_%7Bo%7Dsin%28%5Ctheta%29%20t-%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D)
Where:
is the blueberry pie final height (when it hits the ground)
is the blueberry pie initial height
is the blueberry pie initial velocity
is the angle, assuming the pie was shot horizontally
is the time
is the acceleration due gravity
Rewriting the equation:
![0=y_{o}-\frac{1}{2}gt^{2}](https://tex.z-dn.net/?f=0%3Dy_%7Bo%7D-%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D)
Isolating
:
![t=\sqrt{\frac{2y_{o}}{g}}](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cfrac%7B2y_%7Bo%7D%7D%7Bg%7D%7D)
![t=\sqrt{\frac{2(6 m)}{9.8 m/s^{2}}}](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cfrac%7B2%286%20m%29%7D%7B9.8%20m%2Fs%5E%7B2%7D%7D%7D)
Finally:
![t=1.106 s](https://tex.z-dn.net/?f=t%3D1.106%20s)
Answer:
$18.90 + $6.30 = $25.20
Step-by-step explanation:
A political machine is a political group in which an authoritative boss or small group commands the support of a corps of supporters and businesses (usually campaign workers), who receive rewards for their efforts. ... The term may have a pejorative sense referring to corrupt political machines.