h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So

divide whole equation by -16

we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
The answer is y=3(x-1)^2+6
Answer: The total number of different types of labels will the manufacturers have to produce = 24.
Step-by-step explanation:
Given: Choices for flavours = 4
Choices for sugar = 2 {either sugar or sugar free}
Choices for the qunatity = 3
By Fundamental counting principle,
Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )
= 4 x 2x 3
=24
Hence, the total number of different types of labels will the manufacturers have to produce = 24.
The answer is d!!! Hope that helps!!
Let, number of double rooms and single rooms are d and s.
d + s = 26 ....1 )
Hotel rents double rooms at $34 per day and single rooms at $27 per day.
34d + 27s = 807 ....2)
Solving equation 1 and 2, we get :
34( 26 - s ) + 27s = 807
884 - 34s + 27s = 807
7s = 77
s = 11
And d = 26 - 11 = 15
Therefore, number of double rooms and single rooms are 15 and 11.
Hence, this is the required solution.