Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
Answer:
D) 1/4
Step-by-step explanation:
To solve this, first lets figure out what this variable is. We know we must multiply by t. Well, looking at it, we know that t is one. So lets plug that in.
2*1/2^3(1)
Now we need to figure out what the exponent is that 2 will be raised to. To find that, find out what 3 times one is.
2*1/2^3
Now we need to solve the exponent.
2*1/8
Remember, 2 cubed is eight.
Now we need to find out what 2*1/8 is. To solve this more easily, I am going to turn two into a fraction. This will give us 2/1*1/8. Now we cross multiply, multiplying the numerators by the numerators, and the denominators by the denominators. Remember, the numerator is the top number, and the denominator is the bottom number.
If we do that, we get:
2/8
If we simplify it, we get 1/4. So the asnwer is D) 1/4
Answer:
-3 < x < -2
Step-by-step explanation:
Here, we want the interval in which g is increasing
The interval are the point in which we have an upward curve
From the given graph, we can see an upward curve at -3 < x < -2
And that is our answer
to get the equation of any straight line, we simply need two points off of it, let's use the ones in the picture below.
