Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be
low: Occurrence Year Seen 1- 1949 2 1956 3 1963 4 1970 Use the table for Items 1-5. Describe any pattern you see in the table. Write the values in the second column at the table as a sequence. Identify the common difference. If the pattern continues, in which of the following years will the comet be visible again? A. 2017 B. 2018 C. 2019 D. 2020 About how many times would the Johnson comet be visible during a typical person’s lifetime? Explain your reasoning. 5. Reason abstractly. A man was born during a year in which the Johnson comet was visible in the sky. The next time that the comet was visible after the man’s birth year was in 2005. In what year was the man born? The table to use is attached to the question.
1 answer:
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Answer:
Step-by-step explanation:
Provided
Height = 10cm
Refer to the attachment for the complete question
Required
Calculate the volume of the circle
Volume is determined as follows:
We'll take
Thus; Volume now becomes
Insert 10 for h
Given that the radius is unspecified;
The volume of the circle is:
Answer: 11, 13
Explanation:
We need to identify two consecutive integers whose product is 143. If we let x represent the larger of the two integers, the smaller integer can be expressed as (x-2). Their product equals 143, which gives us
By solving the equation:
this results in a second-order equation with two real roots: x=13 and x=-11. We disregard the negative outcome, leaving us with x=13. Hence, the two numbers are
x=13
x=13-2=11