1. 21j-26+4j=21+6-2j
2. 25j-26=27-2j
3. 27j=53
4. j=53/27
hope this helps!!
Answer:
Only the 3rd table shows a proportional relation between x and y.
Step-by-step explanation:
The first table is
x 2 3 5 6
y 3 4 7 9
Here y is not increasing in uniform rate with x. So, the relation is not proportional.
The second table is
x 4 6 8 10
y 6 8 10 12
Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.
The third table is
x 1 5 8 10
y 15 75 120 150
Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.
The fourth table shows
x 3 9 10 15
y 1 3 4 5
Here also y is not increasing in uniform rate with x. So, the relation is not proportional.
Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)
Answer:
1). 
2). 
Step-by-step explanation:
First term of an arithmetic sequence is (-1) and common difference is 5.
Then we have to find twenty fifth term of this arithmetic sequence.
Since explicit formula of an arithmetic sequence is represented by
Where 
represents nth term of the sequence.
a = first term
n = number of term
and d = common difference
Now we will find 25th term of this sequence.
= (-1) + 120
= 119
Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which
and
Now from the explicit formula
17 = a + (21 - 1)d
17 = a + 20d --------(1)
75 = a + (50 - 1)d
75 = a + 49d --------(2)
Now we subtract equation 1 from 2
75 - 17 = 49d - 20d
29d = 58
d = 
By putting d = 2 in equation 1
17 = a + 20×2
17 = a + 40
a = 17 - 40
a = -23
Therefore, first three terms of this sequence will be
9514 1404 393
Answer:
1.49283
Step-by-step explanation:
8.1% as a decimal is 0.081
The product of that and 18.43 is ...
0.081 × 18.43 = 1.49283
__
If this is a monetary value, it would round to 1.49.
