Answer:
Step-by-step explanation:
The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48,
where t is the time (in seconds) after he throws the marshmallow.
The equation is a quadratic equation. When the marshmallow hits the ground, its height from the ground will be zero. Therefore
−16t^2+8t+48 = 0
- 2t^2 + t + 6 = 0
Multiplying through by the negative sign. It becomes
2t^2 - t - 6 = 0
2t^2 + 3t - 4t - 6 = 0
t(2t + 3) - 2(2t + 3) = 0
(t - 2)(2t + 3) = 0
t - 2 = 0 or 2t + 3 = 0
t = 2 or t = - 3/2
The time cannot be negative
So it will take 2 seconds to hit the ground
So, we need to do the distance she travelled (21 miles) divided by the rate at which she travelled (4 hours). Therefore, because 21 divided by 4 is 5.25, she biked at a speed of 5.25 mph (Miles per hour). So, if she bikes 5.25 miles every hour we can divide 42 by 5.25 to get the time it would take her to travel 42 miles. Now, 42 divided by 5.25 equals 8, so that means for Shelly to bike 42 miles at her average speed of 5.25 mph, it would take her 8 hours.
Answer:
4 option D
Step-by-step explanation:
Note that log2(2^n)=n
Thus we have:
Log2(2)+log2(8)=1+log2(2³)=1+3=4
Answer:
The lateral area rectangular prism is 
.
The area of the two bases of rectangular prism together is 
.
The total surface area rectangular prism is 
.
Step-by-step explanation:
Height of the rectangular prism = h = 4 units
Length of the base of the rectangular prism = l = 6 units
Width of the base of rectangular prism = b = 5 units
Rectangular prism = Cuboid
Lateral surface area of cuboid = L.S.A = 2 × h × (l+b)
Lateral surface area of rectangular prism :
Area of the base = l × b
Area of the base of the rectangular prism = 
Area of the two bases = 
Total surface area of cuboid = T.S.A = 2 ×(lb+bh+hl)
Lateral surface area of rectangular prism :
