Answer:
True
Step-by-step explanation:
True.
Like the cubic term -3x^3 is negative, for small values of "x", the dependent variable "y" will rise. All this can be verified by looking at the graph.
At 3:00 p.m., Jamie leaves her house and drives north to the beach. She arrives at 5:30 p.m. Also leaving at 3:00 p.m., her brot
1 answer:
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Answer:
Aaron needs <u>2 more rolls</u> to complete the path.
Step-by-step explanation:
Given:
Total rolls Aaron has = 4
Part of path covered by using of a roll =
So, in order to find the number of rolls required to cover the complete path is given using the unitary method.
Rolls used for of a path =
Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,
Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.
So, he will need 6 - 4 = 2 rolls more to complete the path.
First part of question:
Find the general term that represents the situation in terms of k.
The general term for geometric series is:
= the first term of the series
= the geometric ratio
would represent the height at which the ball is first dropped. Therefore:
We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:
Our general term would be:
Second part of question:
If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.
represents the initial height:
represents the number of times the ball bounces:
Plugging this back into our general term of the geometric series:
represents the highest height of the ball after 6 bounces.
Third part of question:
If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time.
This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:
We already know these variables:
Therefore: