<span>Let's find out the ball's acceleration
V^2 = U^2 + 2as
Where the distance S = 6 feet and U = 45.
Suppose he just took off so V = 0 and we are left with U^2 =2as
(45)^2 = 2a(6)
a = 2025/12 = 168.75 ft/s^2
Also S = ut + 1/2 at^2
Here S = 5ft and U= 0; a = 168.75. So we have 5 = (1/2) * 168.75 * t^2
So we have 5 * 2 = 168.75 t^2
T^2 = âš 10/ 168.75 = 0.00596 = âš0.006
T = 0.0077s</span>
The answer should be D.
The maximum amount she can add is 7 books and no more, so the first two are wrong. It’s also allowed to be exactly seven, which is why it would be a closed circle.
Hope this helps!
Answer:
Part a)
Part b)
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
Part a) What is the amount after 2 years?
we have
substitute in the formula above
Part b) How long will it take for the amount to be $8000?
we have
substitute in the formula above and solve for t
Applying ln both sides
Remember that
ln(e)=1
These are vertical angles so the opposite angle would equal each other.
Let’s start by solving for x:
52=x-15
Add 15 to both sides:
x=67 degrees
Now let’s solve for y:
4y=128
Divide 4 to both sides:
y=32 degrees
Answer:
-j, 0, j-k
Step-by-step explanation:
j is a positive number, so -j will be less than 0.
j is a number greater than k, so j - k will be greater than 0.
From least to greatest, the order is ...
-j, 0, j-k