Completion of question:
The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?
Answer:
4.78 s
Step-by-step explanation:
Given the equation :
h = - 16^t2 + 64t + 60
Using the quadratic formula ; where
a = - 16 ; b = 64 ; c = 60
Dropping to the ground, h = 0
16^t2 + 64t - 60 = 0
-b ± (√b²- 4ac) / 2a
-64 ± (√64²- 4(-16)(60)) / 2(-16)
-64 ± (√7936) / - 32
(-64 ± 89.08) / - 32
(-64 + 89.08) / - 32 = - 0.783 OR
(-64 - 89.08) / - 32 = 4.78
Reject the negative
t = 0.783 seconds
The cat will take 0.8 seconds to catch up with the mouse
Step-by-step explanation:
Given:
The distance between the cat and the mouse = 4 feet
cat's speed = 17 feet per second.
mouse's speed = 12 feet per second
To Find:
how long will it take the cat to catch up with the mouse = ?
Solution:
We know that
distance = speed x time
Rewriting the equation for time we get
time =
now we know that distance is 4 feet
and the speed is 17 -12 = 5 feet per second
Thus the time is
= 
= 0.8 seconds
Sample Equation: 3x - 3 = 27
Multiple step:
3x - 3 = 27
<u> + 3 +3</u> Step1. Remove the -3 by adding 3 to both sides
3x = 30
<u>÷3 ÷ 3</u> Step2. Remove the multiplicand 3 by dividing both sides by 3
x = 10
To check: substitute x by its value
3x - 3 = 27
3(10) - 3 = 27
30 - 3 = 27
27 = 27
I think it's $16.432 but I'm not sure.
11 x - 10 = 4 ( x + 2 ) + 10
11 x - 10 = 4 x + 8 + 10
11 x - 4 x = 8 + 10 + 10
7 x = 28
x = 28 : 7
x = 4
Answer: A ) 4
