Answer:
We have 250 sixth-grade students are at the school
Step-by-step explanation:
Let the total number of sixth graders be represented as x
Therefore we solve the question nas shown below:
40% of x = 100 sixth grade students that prefer Hip -pop
= 40/100 × x = 100
= 40x /100 = 1000
Cross y
40x = 100 × 100
40x = 10000
x = 10000/40
x = 250 students
Hence, we have 250 sixth-grade students are at the school
Answer: 540 km/h is about 150 meters per second.
Step-by-step explanation:
Simply divide 540 by 3.6.
540/3.6 = 150
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
