this answer is 9% it is bigger than 0.5
Given:
The height h of an object after t seconds is
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
Here, t is the time in seconds.
For t=-2,
For t=5,
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
We need 75 quarts of 3% butterfat milk. How much of 2% and 5% do we need to mix? (t = 2% and f = 5%)
A) t + f = 75
B) .02 t + .05 f = (.03 * 75)
B) .02 t + .05 f = 2.25
Solving for t and f:
t = 50 quarts of 2 % and
f = 25 quarts of 5%
Double-Check
50 * .02 = 1 quart of buttermilk
25 * .05 = 1.25 quarts of buttermilk
2.25 quarts divided by 75 quarts = 3 % buttermilk
9514 1404 393
Answer:
- Age (decreasing): Jason, Tim, Michael, Nick
- Height: (decreasing): Tim, Michael, Nick, Jason
- Weight: (decreasing): Nick, Jason, Tim, Michael
Step-by-step explanation:
The given tallest, oldest, lightest, and heaviest are easy to fill in.
Michael is already 4th in weight, so cannot be 1st or 4th in age. If Tim is older, then the age rank must be Jason, Tim, Michael, Nick.
Michael cannot be 1st, 3rd, or 4th in height, so must be second. If Jason is shorter than Nick, then the 3rd and 4th in height must be Nick and Jason.
The only remaining possibilities for weight are that Tim is 3rd (cannot be 2nd), so Jason is 2nd.
