Answer:
6y³ + 17y² + 22y + 15
Step-by-step explanation:
(2y + 3)(3y² + 4y + 5)
6y³ + 8y² + 10y + 9y² + 12y + 15
6y³ + 8y² + 9y² + 10y + 12y + 15
6y³ + 17y² + 22y + 15
Answer:
503
Step-by-step explanation:
For an arithmetic sequence, the n-th term is found by

To find
(the common difference) we can simply subtract one of the terms by the last, for example:

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

We also have to know that
stands for the first term of the sequence, which in this case is 311.
Now that we know this, let's find the 32nd term

Good luck!
Answer: The average velocity of the object over the time interval [3,6] is 20.
Step-by-step explanation:
Since we have given that
s(3) = 156
s(6) = 216
We need to find the average velocity over the time interval [3,6].
So, average velocity becomes

Hence, the average velocity of the object over the time interval [3,6] is 20.
Answer:
15.71m
Step-by-step explanation:
circumference of a circle = 2πr
where r = 2.5m
where π = 3.142
we have,
2*3.142*2.5 = 15.71m
therefore the circumference of a circle with a radius 2.5m = 15.71 m
Answer:
QT = 18
Step-by-step explanation: