<h2>
If we are considering upward direction as positive, vertical component of acceleration is -9.81 m/s².</h2>
Step-by-step explanation:
A soccer ball is kicked with a velocity of 25 m/s at an angle of 45° above the horizontal.
Here we need to find vertical component of its acceleration as it travels along its trajectory.
Vertical component of acceleration is acceleration due to gravity.
That is vertical component is 9.81 m/s² downward.
If we are considering upward direction as positive, vertical component of acceleration is -9.81 m/s².
Answer:
population will be 79806.
Step-by-step explanation:
Population of a town 4 years ago was 50,000
Population of town had grown exponentially and present population is 63,124.
So the formula of the population growth will be
Where 
= Final population n = number of years.
= Initial population
r = rate of increase in population per year.
so 63124 = 50,000 
= 1.0813
Now we have to find the population after 4 years from now.
= 
= 
= 63124 × 1.264
= 79806
Therefore, after 4 years from now population will be 79806.
Part A:
Luke's original box of cereal costs $2 more than the super-saving brand.
y=9(1)
y=9
11-9=2
Part B:
y=9(6)
y=54
11x6=66
66-54=12
Luke saves $12 each month if he buys 6 boxes of the super-saving brand.
Solution -
The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.
If the length of side of the cibe = a , then radius of the sphere is 
Volume of the cube = a³, volume of the sphere = 
π(radius)³ = π()³
volume of the cube outside the sphere = volume of the cube - volume of the sphere
= 
π()³
= 
=a³(1 - 
)
Answer:
No. pp you can fit in a van: 6,
No. pp you can fit in a bus: 20
Step-by-step explanation:
Let v = # of pp in vans, and let b = # of pp in buses:
8v + 9b = 228,
4v + 5b = 124
If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:
v = 228-9b/8,
Substitute v = 228-9b/8 into bottom eq:
[4 * 228-9b/8 + 5b = 125]
[228+b/2=124]
[228+b = 248]
[b = 20]
Now substitute 20 to find no. of pp in the vans:
v = 228 - 9(20)/8 = 228 - 180/8 = 48/8 = 6
