The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.
The explicit formula for the terms of an arithmetic sequence is
an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
B. a(n) = 7+(n-1)·12
Answer:
2.871*10^9
Step-by-step explanation:
add a decimal point at the end of the number ( 2,871,000,000.) then count how many places it takes to move the decimal point between the first and second number (2.8) then write the rest of the numbers higher than "0" after, giving you the 2.871
to show that the number written is in scientific notation you add 10 to the power of the amount of times you moved the decimal place. In this case, because the decimal point was moved a total of 9 times, it would be 10 to the 9th power (10^9).
The perimiter is 4 times 1 side
currently, it is 9 times 4 or 36
increased by 3
I think y mean times 3
so 9*3=27
new perimiter is 27*4=108
how much larger is it?
108-36=72
it is 72cm larger
it is the first answer
(it isn't cm² because that is for area and we are calculating perimiter)
Answer:
the pair that is not a solution is d
Step-by-step explanation:
5 > 2(2) + 1
5 > 4 + 1
5 > 5
it is equal to and not greater than
<u>Part 1)</u> Use the fact that there are 12 inches in a foot
a) How many inches tall is a 7 foot basketball player?
we know that
1 foot=12 inches
so by proportion

therefore
<u>the answer Part 1a) is</u>

Part b) If a yard is a 3 feet long, how many inches are in a yard?
we know that
1 yard=3 feet
1 foot=12 inches
so
Convert 3 feet to inches
by proportion
therefore
<u>the answer Part 1b) is</u>

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?
by proportion
therefore
<u>the answer Part 2) is</u>

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.
Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
we know that
<u>Find the cost of the bananas</u>

<u>Find the cost of the apples</u>

Sum the cost of the bananas and the cost of the apples

------> Janice's mother didn't give her enough money
She needs more money
She needs-------> 
therefore
<u>the answer part 3) is</u>
She needs
more