A(n) = a₁.(r)ⁿ⁻¹, where a₁ = 1st term, r= common ratio and n, the rank
In the formula given a₁ = 5, r = 3/2 and n = 6 (we have to find the 6th term value).
a₆ = 5.(3/2)⁶⁻¹ = 5.(3/2)⁵ = 1215/32 (answer C)
2/3 hour is 40 minutes. 1 3/4 hour is 1 hour and 45 minutes. So she spent 1 hour and 5 minutes or 1 1/12 hour longer doing homework.
Answer:
1092
Step-by-step explanation:
We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function
. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.
We will use average rate of change formula to solve our given problem.

Upon substituting our given values, we will get:






Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.
If you have several different sized pizzas, you can compare their areas. So the area of a pizza is the length of the crust (circumference) divided by two times the distance from the edge to the middle (radius). Mathematicians use a special number called pi to calculate the circumference of a circle.
Let t = the number of tacos sold
Let b = the number of burritos sold
3t + 7.25b = 595
B=2t