Answer:
.
Step-by-step explanation:
We have been given an equation . We are asked to find the constant of proportionality.
We know that two directly proportional quantities are in form , where y is directly proportional to x and k is the constant of proportionality.
Upon looking at our given equation, we can see that , therefore, the constant of proportionality is
for our given equation.
Answer:
By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.
Step-by-step explanation:
For examples,
Let's consider squares of 3, 11, 25, 37 and 131.
8 is a multiple of 4, and 9 is more than 8.
120 is a multiple of 4 and 121 is one more than it.
624 is a multiple of 4 and 625 is one more than it.
1368 is a multiple of 4 and 1369 is one more than 1368.
17160 is a multiple of 4.
Answer:
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Step-by-step explanation:
Papaya rosette pieces on first day = 5890
Papaya rosette Pieces on second day = 7020
Papaya rosette Pieces of third day = 8150
Let
We can check if these numbers are part of a sequence.
In order to check, common difference will be found first.
It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.
The formula for arithmetic sequence is given by:
Putting the values
The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.
So,
Hence,
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.