Answer:
The average force applied to the baseball is 8.25kN
Step-by-step explanation:
This problem bothers on the impulse of a force
We know that the change in momentum is expressed as
Ft= mv-mu
Given
Ft=16.5 kg-ms
Time t of impact =0.00200s
The force applied can be solved for
By making F subject of formula
F= (mv-mu)/t
F=16.5/0.002
F= 8250N
F= 8.25kN
Answer: 45 years old
Step-by-step explanation:
<u>Given:</u>
- Father's age is thrice the sum of ages of his two children
- After five years, his age will be twice the sum of their ages
Let x be the two children's current age and 3x be the father's current age
<u>Solve:</u>
Set equation
3x + 5 = 2 ( x + 10 )
Expand parenthesis
3x + 5 = 2x + 20
Subtract 5 on both sides
3x + 5 - 5 = 2x + 20 - 5
3x = 2x + 15
Subtract 2x on both sides
3x - 2x = 15
x = 15
15 × 3 = 45 years old
Hope this helps!! :)
Please let me know if you have any questions
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers.
Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)
y < 4
-1 < 4 (TRUE)
x < 6
1 < 6 (TRUE)
Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)
y < 4
2 < 4 (TRUE)
x < 6
5 < 6 (TRUE)
Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)
y < 4
-2 < 4 (TRUE)
x < 6
4 < 6 (TRUE)
Answer:
$290.
Step-by-step explanation:
We have been given that Rachel Perez rented a car for 3 days at $40.00 per day.
We are also told that she pays $0.20 per mile for renting the car. As she covered a total distance of 500 miles, so cost of renting car foe 500 miles will be:
As Rachel purchased the collision deductible for $10.00 per day to protect herself in case of an accident, so cost of collision deductible for 3 days will be:
She also paid $40 for gasoline to cover 500 miles, so we can find total cost to rent the car for 3 days to cover 500 miles by adding all the expenses.
Therefore, the total cost to rent the car was $290.
