Answer:
9 hundreds, 2 tens, 4ones
900+20+4
Step-by-step explanation:
Answer:
The recursive formula defines the sequence is .
Step-by-step explanation:
Three terms of an arithmetic sequence are
f(1) = 6
f(4) = 12
f(7) = 18
It means first term is 6, fourth term is 12 and seventh term is 18.
The formula for nth term of an arithmetic sequence is
where n is number of term, a is first term and d is common difference.
4th term of the AP is
Subtract 6 from both sides.
Divide both sides by 3.
The common difference is 2.
The recursive formula for an AP is
Substitute d=2 in the above equation.
It can be written as
Therefore the recursive formula defines the sequence is .
10^7
B.
10^8
C.
10^–7
D.
10^–8
The unit rate of boxes produced per hour by the machine is 1200 boxes per hour. This is obtained by multiplying the number of boxes made in 15 minutes (300 boxes) by 4 to account for the 4 15-minute intervals in an hour.
To find the unit rate of boxes produced per hour, we first need to determine how many minutes are in an hour. There are 60 minutes in 1 hour.
Then, we need to figure out how many 15-minute intervals fit into 60 minutes. To do this, we divide 60 by 15, which gives us 4. This means there are 4 15-minute intervals in an hour.
Given that the machine makes 300 boxes in 15 minutes, we multiply this quantity by 4 to find out how many boxes it makes in an hour. Therefore, the expression for the unit rate in boxes per hour is 300 boxes * 4, which equals 1200 boxes per hour.
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