The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).
This means any speed below 48.99 miles per hour would stop before hitting the tree.
The fastest the car can go would be 48.98 miles per hour.
Justify by replacing s in the equation with 48.98 and solve for d:
48.98 ^2 = (sqrt( 30(0.8)d)
2399.04 = 24d
D = 2399.04/24
D = 99.96 feet
This is less than 100 feet so the car will not hit the tree.
<span>|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16 OR 4x - 12 = 16
4x = 16-12 OR 4x = 16 + 12
4x = 4 OR 4x = 28
x = 4/4 OR x = 28/4
x = 1 OR x = 7
In short, Your Answer would be either 1 or 7
Hope this helps!</span>
Answer:
The probability is 
Step-by-step explanation:
The probability of guessing correctly, P = 0.54
Probability of not guessing correctly, q = 1 – P
q = 1 – 0.54 = 0.46
Number of trials, n = 32
Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.
Below is the calculation using binomial distribution.

Answer:
Step-by-step explanation:
Through -3 , -2 slope = -2/3
y1 = -2 & x1 = -3 and m = -2/3
y - y1 = m(x - x1)
y - (-2) = -2/3(x - (-3))
y + 2 = -2/3(x + 3)
Multiply each term by 3
3y + 6 = -2(x + 3)
3y + 6 = -2x - 6
3y = -2x - 6 - 6
3y = -2x - 12
Multiply 3.6666 by 3.25 to get 11.9167 cups.