dP/dt = 1000 * 9^t is the bacteria population's growth rate.where:P(t) is the population at time t, andP(0) = 6000.
The population after one hour would be:
P(1) = P(0) + <Integral of dP/dt from 0 to 1>
P(1) = P(0) + [ 1000 * 9^1 / ln(9) - 1000 * 9^0 / ln(9) ]
P(1) = 6000 + 3641 = 9461 would be the answer
Answer: divide 5 by 2; 2 will go into five 2 times with a remainder of 1. This means the whole number portion of the mixed number is 2, and the remainder of the fraction is 1; this gives us 2 1/2. To plot 2 1/2, plot a point halfway between 2 and 3.
Step-by-step explanation:
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A tangent meets with the radius to form a right angle
Thus, we can use Pythagoras' theorem
b^2 = c^2 - a^2
Sub the values in:
b^2 = 5^2 - 3^2
b^2 = 16
Square root for the answer:
b = 4
Thus, the answer is option A.
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Group like numbers
6-3-4i-2i
3-6i
Answer:
12.5%
Step-by-step explanation:
There are two types of spinners here and the outcome of them is independent. That means
P(odd number,C) = P(odd number) * P(C)
There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:
P(odd) = 2/(2+2)= 1/2= 50%
There are four letters and the desired outcome is C. The chance for C will be:
P(C)= 1/4= 25%
Then the chance will be:
P(odd number,C) = P(odd number) * P(C)
P(odd number,C) =50% * 25% = 12.5%