Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20
We also know that he shot total of 1250 shots:
50a + 100 b = 1250
We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15
Mark shot 100 shots on 5 days.
Answer:
The answer is below
Step-by-step explanation:
The growth of the bacteria is in the form of an exponential growth. It is given by the formula:
At 2 hours, the population is 62 cells, hence:
After another 2 hours (4 hours), the population is 1 million:
Put r = 4.844 in equation 1
45(v - 7) = 2...divide both sides by 45
v - 7 = 2/45...add 7 to both sides
v = 2/45 + 7
v = 2/45 + 315/45
v = 317/45 or 7 2/45
