Answer:
y=25600
y=100(2)^{2t}
y=252
Step-by-step explanation:
A bacteria culture starts with 100 bacteria and doubles in size every half hour.
where x represents the number of hours
(a) t= 4 hours
Plug in 4 for t and find out the number of bacteria y
25600 bacteria
convert 40 seconds into hour
40 divide by 60 =2/3
The graph is attached below
Answer:
A) x+5
B) 121
Step-by-step explanation:
A) If Tim is 5 pounds heavier than Amy, an equation for this situation can be modeled by x+5, where Amy is <em>x </em>pounds.
B) If Tim is 126 pounds, then Amy's weight is 126-5=121 pounds.
Answer:
Step-by-step explanation:
In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.
Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:
The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:
This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as
The radius is the square root of the constant. So the radius is 6.
D is the graph you want.
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work 
Sheri's commute to work 
John's commute to work in miles per hour = 
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.
Answer:
a. 10
Step-by-step explanation:
Profit = Total Cost - Total Revenue
The profits are charted on the chart attached.
Profit is maximized when the quantity is 6. At this quantity, the difference between marginal cost and marginal revenue is $10.
