A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
Kade worked for 15 hours and theo worked for 12
Step-by-step explanation:
Answer:
The amount of Kroner that can be bought from 1/5 of one dollar.
Step-by-step explanation:
We have been given that goods that cost 1/5 of one dollar in the U.S. cost one kroner in Denmark. We are asked to find the the real exchange rate that would be computed as how many Danish goods per U.S. goods.
The real exchange rate tells us how much foreign currency can be exchanged for a unit of domestic currency.
It also tells us that how much the goods and services in the domestic country can be exchanged for the goods and services in a foreign country.
Therefore, the real exchange rate would be the amount of Kroner that can be bought from 1/5 of one dollar.
Answer:
C
Step-by-step explanation:
x + 6 not hard
