Answer:
.
Step-by-step explanation:
just move the 15 the left and divide 5 and u should get c=3
2x +9 = 3x - 1
2x - 3x = -9 -1
-x = -10
x = 10
2(10) + 9 = 29
so angles 1 and 3 measure 29 degrees
360 - 2(29) = 302 degrees
302/2 = 151 degrees
so angles 1 and 3 measure 151 degrees
Answer:
work is shown and pictured
Complete Question
Bacteria culture A culture of the bacterium Rhodobacter sphaeroids initially had 30 bacteria and t hours later increases at a rate of 2e^2t 1 bacteria per hour. Find the population size after four hours
Answer:
3010
Step-by-step explanation:
We were given the rate: 2e^2t
Step 1
We would integrate
P = Population
dP/dt = 2e^2t
dP =( 2e^2t) dt
∫dP = ∫ 2e^2t dt
P(t) = (2e^2t)/2 + C
P(t) = e^2t + C
Step 2
We solve for C
The culture initially has 30 bacteria
When t = 0
P(0) = 30
P(0) = e^2t + C
30 = e^2× 0 + C
30 = 1 + C
C = 30 - 1
C = 29
Step 3
Find the population size after four hours
t = 4, C = 29
P(t) = e^2t + C
P(4) = e^2 × 4 + 29
P(4) = e^8 + 29
P(4) = 3009.957987
Approximately = 3010 bacteria
