Answer:
2.82 seconds (3 sf)
Step-by-step explanation:
s = ut + 0.5at²
6 = -95(sin25)t + 0.5(32)t²
16t² - 40.14873487t - 6 = 0
t = 2.818501699, -0.1419193751
t is time so can't be negative.
Therefore, t = 2.82s (3 sf)
Answer
1/2 and -4/3
Step-by-step explanation:
Answer: A. 20%
Step-by-step explanation:
First, to find the total number of teachers, we can add 25+32+18+5+20=100
Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:
20 ÷ 100 = 0.2
Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20
Therefore, the correct answer is A.
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: 
where 
is the slope and 
is the y-intercept
<u>1) Solve for the slope (</u><u>)</u>
The equation to solve for the slope is 
when the two points are 
and 
. Plug the coordinates of these points into the equation and solve for .
Then, plug into .
<u>1) Solve for the y-intercept (</u><u>)</u>
Then, take any of the given points and plug it into along with the slope. Isolate to get the y-intercept. Then, plug both m and b back into to get your final equation.
I hope this helps!
2, 8, 32, 128,
Multiply by 4 for each number
8/2= 4
32/8= 4
128/32= 4
128*4=512
512*4= 2,048
Answer: D 512, 2,048
