Perform the following calculations without rewriting the numbers in decimal form.
1 answer:
Answer:
After multiplication number will be
Step-by-step explanation:
We have given numbers which has to multiply using scientific notation
That are
We have to multiply the above number using scientific notation
We know that when two number are multiplied then there exponent power is being added
So when we multiply there power will be added and after multiplication number will be
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The chairs in the auditorium illustrates an arithmetic sequence
- The recursive rule is: an = an-1 + 8; a1 = 26
- The explicit rule is: an = 18 + 8n
- There are 74 seats in the 7th row
- 840 chairs can fit the auditorium
From the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
<h3>The explicit rule</h3>In (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
<h3>The number of seats in the row 7</h3>This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
<h3>The sigma notation</h3>We have the maximum number of rows to be 12.
So, the sigma notation would be:
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
Read more about arithmetic sequence at:
Answer:
In B) y = x/7 , the constant of proportionality is 7.
Step-by-step explanation:
Two quantities X and Y are said to be in proportion if and only if
X = kY or, ,
where k = Proportionality Constant.
Here, 7 is the constant of proportionality. Then,
A . y = 14x
here, ≠ 7
B . y = x/7
here, = constant of proportionality .
C. y = x
here, ≠ 7