Answer:
so in the begining mr. Lippman made 80$ so the ove
Step-by-step explanation:
Answer:
It should be t = 1.5 seconds if your equation is h(t) = -16*t^2 + 8t + 24
Step-by-step explanation:
h(t) = -16*t^2 + 8t + 24
We want to solve for t when h(t) = 0.
This is a parabolic equation so basically we can use the quadratic formula to solve this.
h(t) = -16*t^2 + 8t + 24
0 = h(t) = -16*t^2 + 8t + 24
take out the 8
0 = -2t^2 + t + 3
0 = -2t*t - 2t + 3t + 3
0 = -2t * (t + 1) + 3*( t + 1)
0 = (-2t + 3) * ( t + 1)
so time cannot be negative, so we choose 0 = (-2t + 3), t = 3/2 seconds
or t = 1.5 seconds
So we want to know the volume of a sphere in terms of pi if we know the area of the sphere is equal to A=9pi. So the area of the sphere is A=4*pi*r^2 and the volume V=(4/3)*pi*r^3. We can get the radius from the area: 9pi=4*pi*r^2 and we see the pi cancels out: 9=4*r^2. We divide by 4 and take the square root: r=sqrt(9/4)=3/2. So r=3/2 and we can input it into volume V.
V=(4/3)*(3/2)^3*pi=(4/3)*(27/8)*pi=(9/4)*pi.
So the volume of the sphere is V=(9/4)*pi cubic feet.
600 sixth-graders were surveyed.
Step-by-step explanation:
Step 1; Assume x is the total number of sixth-graders that were surveyed. According to the given circle graph, 5% of the sixth-graders that were surveyed have birds as their pets. If x is the total number of sixth-graders surveyed then 5% of x equals 30. So
5% of x = 30.
5% equals 
= 0.05, so 5% = 0.05.
Step 2; If 0.05 x = 30, we can solve by keeping the unknown value on one side and keeping all the known values on one side.
x = 
= 600.
So 600 sixth-graders were surveyed.
