Answer:
Ben's rate is greater than Kate's rate.
Step-by-step explanation:
1. If it takes Ben 2 days to write reports, then his rate is of reports per day.
2. If it takes Kate 3 days to write reports, then her rate is of reports per day.
3. Ben's rate is
greater than Kate's rate.
Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,
So,
Therefore, number of terms is 6
Answer:
The correct option is A) 3 square inches; .
Step-by-step explanation:
It is given that the length of the frame is (2x-3) and the width is (x-2)
The area of the rectangle is:
Where, A is the area l is the length and w is the width of the rectangle.
Put and
in the area of the rectangle.
The area of the frame expressed as a polynomial is .
Now substitute x=3 in .
The area of the frame is 3 square inches.
Hence, the correct option is A) 3 square inches; .
Answer:
= 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
= 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3