Answer:
7.0 m/s
Step-by-step explanation:
We can solve this using the 2 kinematic equations and you can use either:

So let's use the first one.
Vi = initial velocity
Vf = final velocity
a = acceleration due to gravity (constant 9.8m/s²)
t = time
The marble is dropped so this means that it is in free fall. The initial velocity is always 0m/s.
We are given then the following:
d = 2.5m
t = 0.71s
Vi = 0 m/s
a = 9.8m/s²
So we plug in the values we know and solve:

Answer:
4 ml of the 63% milk drink
Step-by-step explanation:
Multiplying 15 ml by 0.15 results in 2.25 ml, the amount of whole milk in the drink. Let m represent the number of ml of a drink that is 63% milk.
The final amount of milk drink that is to be 45% milk will be 15 ml + m, and the amount of whole milk contained in this drink will be 0.45(15 + m).
Then:
0.15(15 ml) + 0.63(m) = 0.45(15 + m), where m is to be in milliliters.
2.25 + 0.63m = 6.75 + 0.45m
First: consolidate the m terms on the left. 0.63m less 0.45m yields 18 m; then we have:
2.25 + 18m = 6.75, or
18 m = 4.50, or m = 4 ml.
In conclusion: adding 4 ml of that 63% milk drink to the initial 15 ml of 15% milk will result in (15 ml + 4 ml) of a 45% milk drink.
Answer:
66
Step-by-step explanation:
11 - 9 + 8^2
11 - 9 + 64
= 66
Answer:
each month, Gina read 1 book
To solve this we are going to use the free distance fallen formula:

where

is the distance

is the gravity of Earth


is the time in seconds
We know from our problem that the
penny fell off the top of the building and hit the sidewalk below 3.1 seconds later, so

. Lets replace the value in our formula:



meters
We can conclude that the penny fell a distance of 47.098 meters