Answer/Step-by-step explanation:
Total Distance = 3Ft
a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.
Amplitude = 3/2 = 1.5 period = 10 second
No ph. Shift
b) Write an equation of a function that models the buoy with x=0 at its highest point.
y= 1.5 cos ( 
)
Discriminant = square root (b^2 -4*a*c)
square root (64 -4*1*12) =
square root (16) =
4
Therefore it has 2 rational soltions
Answer:
L = 18 and w = 16
Step-by-step explanation:
The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.
To solve for w, move 288 to the other side by subtraction. Then factor and solve.
Set each factor equal to 0 and solve.
w - 16 = 0 so w = 16
w + 18 = 0 so w = -18
Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.
This means the length is 16 + 2 = 18.
Answer:
The volume is multiplied by 8.
Step-by-step explanation:
The volume of a cone with a radius of 3.8 and a height of 7.6 is 114.92. Now let’s double them, the results come out to be 919.39, we divide these by each other and we get roughly 8 when you round. Therefore, your answer is 8.
Answer:
A = 2
D = 1
B = 4
C = 3
Step-by-step explanation:
Height of water in bathtub is a function of water in bathtub.
P(t) = w ; t = time ; w = height of water.
A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub
2: The bathtub starts out with no water.
D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.
1: After 20 minutes, the bathtub is empty.
B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10
4: The height of the water is 10 inches after 4 minutes
C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches
3: After 10 minutes, the height of the water is 4 inches.
.
