Answer:
1560
Step-by-step explanation:
The rate of Increase of the population (P) of the bacteria is given as:


Where k is a constant of Integration.
At t=0, P(t)=36

Therefore:

Answer:
165.8 ft (nearest tenth)
Step-by-step explanation:
We can use the tan trig ratio to calculate the height of the tower.

where:
= the angle- O = the side opposite the angle
- A = the side adjacent the angle
From inspection of the diagram:
= 37°
- O = height of tower (let's call this h)
- A = 220 ft
Substituting these values into the trig tan ratio:

Multiply both sides by 220:



Therefore, the height of the tower is 165.8 ft (nearest tenth)
A+b+c = 131
b = 7 + 2a and c = a - 12
so a + 7+2a + a-12 = 131
then 4a -5 = 131
then 4a = 136
and a = 34....so b= 75 and c = 22....check 34+75+22=131√
<span>Line A passes through points (5, 2) and (13, 6). Line B is parallel to Line A. Line C is perpendicular to Line B. What is the slope of Line C?
6-2 4
Line A and B both have the slope m = -------- = ------ = 1/2.
13-5 8
Line C, being perpend. to lines A and B, must have the slope m = -2 (answer)</span>