Answer:
Some of the 50 students should have been assigned to a control group that used the in-person course
Step-by-step explanation:
3^5
3*3*3*3*3 = 243
3*3 = 9 *3=27 *3 =81 *3 =243
I'm going to rewrite f(x) and g(x) so that I don't get confused.
Based on your description:
f(x) = (2x)
+ x - 1 simplified to 4x
+ x - 1
g(x) = x
+ 3x - 3
Now we handle parts A-D.
A. f(x) + g(x)
We combine like terms.
4x
+ 5x
+ x + 3x - 1 - 3 = 5x
+ 4x - 4
B. f(x) - g(x)
Again combine like terms like normal except this time subtracting.
4x
- x
+ x - 3x - 1 - (- 3) = 3x
- 2x + 2
C. 2f(x) + 2g(x)
Multiply, then again CLT
2f(x) = 8x
+ 2x - 2
2g(x) = 2x
+ 6x - 6
Combine like terms to get 10x
+ 8x - 8
D. 2f(x) - 2g(x)
Use the same 2f(x) and 2g(x) terms and this time just subtract.
You get 6x
- 4x + 4
Ken: 1/4 of 10,000 sq. Feet is 232.25 mowed in 12 minutes (1/5 of an hour). Ken has 9,767.75 left to mow which he’ll need 8 hours and 24 minutes to finish. Katie: 2/6 of 10,000 sq. Feet is 557.41 mowed in 20 minutes (2/6 of an hour). so Katie has 9,442.59 of the lawn left to mow, it’ll take 5 hours and 20 minutes for Katie to finish. So Katie mows the lawn faster
Answer:
t = 8.2 sec
Step-by-step explanation:
the ball will move with uniform deceleration due to gravity until it reaches the highest point at which v = 0 then will change its direction and continue with uniform acceleration until it hits the ground.
the time the ball takes to reach the highest point equals the time it takes to return to the ground again.
to calculate the total time, we calculate the first half then multiply it by 2
we use the first equation because we have all the variables except time
v = 0 , u = 40 , a = -9.8
0 = 40 - 9.8t
t = 4.1 sec
total time = 4.1 x 2 = 8.2 sec