Answer:
Recursive:
Explicit:
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
Explicit Rule:
The standard format for the explicit rule is:
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
Evaluate:
Hence, the 20th term is 225.
We have to draw the model for 42 divide 7 . In order to draw the model we use below steps.
- Draw 7 boxes to represent 7 groups.
- Assume 42 as the number which represents the total of these 7 groups.
- Put a question mark at the first box.
Attached is the model to represents 42 divide 7 .
In the question mark we should put 6. Hence, when we add 6 to 7 times that will be equal to 42.
Answer:
$40.50 for the miles and 1.75 x P (passangers)
Step-by-step explanation:
Since $2.25 is the fee for miles, 2.25 x 18 = $40.50
and since it depends on the group, ima say its probably 3, the passenger fee would be $5.25
that would add up to about $45.75
but if there is a different amount of passengers, just multiply it by $1.75 then add it to $40.50!
Base Surface Area = 2π×22 = 25.132741228718 feet2
Lateral Surface Area = 2π×2×15 = 188.49555921539 feet2
Total Surface Area = 213.62830044411 feet2
(Figure A)
Base Surface Area = 2π×52 = 157.07963267949 feet2
Lateral Surface Area = 2π×5×17 = 534.07075111026 feet2
Total Surface Area = 691.15038378975 feet2
(Figure B)
Base Surface Area = 2π×82 = 402.12385965949 feet2
Lateral Surface Area = 2π×8×22 = 1105.8406140636 feet2
Total Surface Area = 1507.9644737231 feet2
(Figure C)
