Disregarding air friction, the distance traveled by an object due to gravity is : H = 0.5*g*t^2. g is the gravitational constant at the surface of earth.
g= 9.81 m/s^2
After 3 seconds, Distance = .5*9.81*9 = 44.15 meters traveled.
Since it was dropped from a height of 90 meters, the current height is 90 - 44.15 = (a) 45.85 meters
(b) It has to travel 90 meters to hit the ground . So we must find t
Using the same equation
t = (2*H/g)^.5
t = (2*90/g)^.5 = 4.28 seconds until it hits the ground
No because...
3(d+12) =8
Distribute the 3.
3d+36=8
Subtract the 36.
3d = -28
Divide by 3 to isolate d.
d = -28/3 or 9.33
Answer:
y = 5x
D is the correct option.
Step-by-step explanation:
We have been given that sheltie puppy gets 2.5 cups of food twice per day.
It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.
The equation will be linear.
Let y be the number of cups of food she eat and x is the number of days.
Hence, we have
Slope = 5
And the equation that represents the number of cups of food she eats is given by
y = 5x
D is the correct option.
You can decide the size of the container by adding up the volume of all the ingredients and getting the appropriate size.
Common denominator = 12
1/4 gallons = 3/12, 2/3 gallons = 8/12 gallons, 1 & 1/4 gallons = 15/12 gallons.
3/12 gallons + 8/12 gallons + 15/12 gallons = 26/12 gallons.
Therefore you need a container that can hold 3 gallons for the recipe.