Answer:
See verification below
Step-by-step explanation:
We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

Now, differentiate to obtain


To obtain the required form, extract a factor in both the numerator and denominator:

It could be written like 400 or four hundred.
Answer:
x + 3 + 
Step-by-step explanation:
Using long division
x + 3 ← quotient
--------------------------
x - 3 | x² + 0x + 4
x² - 3x ↓
------------------------
3x + 4
3x - 9
-----------------------
13 ← remainder
Thus
= x + 3 + 
a.
f = total cab fare
m = distance travelled
f = 2 + 0.50m
b.
7.50 = 2 + 0.50m
c.
7.50 = 2 + 0.50m
7.50 - 2 = 0.50m
5.50 = 0.50m
5.50/0.50 = m
m = 11
Sara travelled 11 miles.
d.
f = 2 + 0.50m
f = 2 + 0.50 x 10
f = 2 + 5
f = 7
When the cab fare is over $7.00 on the holidays, $1 is discounted off the fare.
e.
Yes, Lupe traveled more than 10 miles. (refer to calculations used in c.)
So, to find the find the amount of fencing required, or the circumference of the gardening, pot...
Area = pi * r^2
125 square feet = pi *r^2
125/ pi = r^2
39.79 = r^2
root square of 39.79 = r
6.31 = r
To find the circumference, the formula is: pi * D (or Pi * r * 2)
therefore,
C = pi * 6.31 *2
C = 39.65 feet
therefore, 39.65 feet of fencing is needed.
hope this helps