Answer:
Runner B
Step-by-step explanation:
speed = distance ÷ time
Runner A: 1 ÷ 8 = 0.125m/ms
Runner B: 2 ÷ 10 = 0.2m/ms
Runner C: 3 ÷ 20 = 0.15m/ms
Runner D: 5 ÷ 30 = 0.17m/ms
Runner B has the highest speed so he is the fastest runner.
Answer:
Mr. Johnson has 12 possibilities.
Step-by-step explanation:
The information provided are:
- Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
- Mr. Johnson has four pairs of pants, black, brown, gray, and white.
- He chooses one shirt and one pair of pants.
Compute the number of ways to select a shirt and a pair of pants as follows:
Total number of ways = Number of Shirts × Number of pair of pants
Thus, Mr. Johnson has 12 possibilities.
Answer:
m = -3/2 and b = 4
Step-by-step explanation:
m = slope and u go down 3 and over 2 so its -3/2
b = your y intercept and its intercepting through 4 on the y-axis
You must earn 243 points to have earned 93% of all possible points.
We first multiply each percentage on the previous tests by 150:
0.88*150 = 132
0.94*150 = 141
0.9*150 = 135
The total number of points possible is given by adding up the possible points for the three previous tests and the 250 for the last test:
150+150+150+250 = 700
93% of the 700 points would be 0.93(700) = 651 points.
Now we have 132+141+135+x (last test) = 651
408 + x = 651
Subtract 408 from both sides:
408+x-408 = 651-408
x = 243
Answer:
-sqrt(3) -i = 2 cis (7pi/6)
Step-by-step explanation:
-sqrt(3) -i
We can find the radius
r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)
= sqrt( 3 + 1)
= sqrt(4)
= 2
theta = arctan (y/x)
arctan (-1/-sqrt(3))
arctan (1/sqrt(3))
theta = pi/6
But this is in the first quadrant, and we need it in the third quadrant
Add pi to move it to the third quadrant
theta = pi/6 + 6pi/6
=7pi/6
-sqrt(3) -i = 2 cis (7pi/6)
