Answer:
Darin drove '2m - 20' miles.
Step-by-step explanation:
We are given that Sam drove 'm' no. of miles.
As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.
Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.
Hence, in terms of m, Darin drove '2m - 20' miles.
Answer:
The average velocity of the ball at the given time interval is -122.3 ft/s
Step-by-step explanation:
Given;
velocity of the ball, v = 34 ft/s
height of the ball, y = 34t - 26t²
initial time, t₀ = 3 seconds
final time, t = 3 + 0.01 = 3.01 seconds
At t = 3 s
y(3) = 34(3) - 26(3)² = -132
The average velocity of the ball in ft/s is given as;
![V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s](https://tex.z-dn.net/?f=V_%7Bavg%7D%20%3D%20%5Cfrac%7By%283.01%29-y%283%29%7D%7B3.01%20-3%7D%5C%5C%5C%5CV_%7Bavg%7D%20%3D%20%5Cfrac%7B34%283.01%29-26%283.01%29%5E2-y%283%29%7D%7B3.01%20-3%7D%5C%5C%5C%5CV_%7Bavg%7D%20%3D%20%5Cfrac%7B-133.223-y%283%29%7D%7B0.01%7D%5C%5C%5C%5CV_%7Bavg%7D%20%3D%20%5Cfrac%7B-133.223-%28-132%29%7D%7B0.01%7D%5C%5C%5C%5CV_%7Bavg%7D%20%3D%5Cfrac%7B-1.223%7D%7B0.01%7D%5C%5C%5C%5CV_%7Bavg%7D%20%3D%20-122.3%20%5C%20ft%2Fs)
Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s
Answer: B) 70.50
Step-by-step explanation: john is buying 3 tickets for each of 2 movies total : 6 tickets each ticket costs 11.75
so 11.75*6
= 70.50
Okay, to start, when dividing fractions, one thing I use is to flip the numerator and denominator of the divisor and change the division sign to a multiplication sign so it would look like this:
-7/2*5/7
Then, you would multiply straight across and you would get -35/14 which simplifies to -5/2.