<h2>
Step-by-step explanation:</h2>
As per the question,
Let a be any positive integer and b = 4.
According to Euclid division lemma , a = 4q + r
where 0 ≤ r < b.
Thus,
r = 0, 1, 2, 3
Since, a is an odd integer, and
The only valid value of r = 1 and 3
So a = 4q + 1 or 4q + 3
<u>Case 1 :-</u> When a = 4q + 1
On squaring both sides, we get
a² = (4q + 1)²
= 16q² + 8q + 1
= 8(2q² + q) + 1
= 8m + 1 , where m = 2q² + q
<u>Case 2 :-</u> when a = 4q + 3
On squaring both sides, we get
a² = (4q + 3)²
= 16q² + 24q + 9
= 8 (2q² + 3q + 1) + 1
= 8m +1, where m = 2q² + 3q +1
Now,
<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>
Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.
Hence , it is clear that square of an odd positive is in form of 8m +1
Answer:
23 gallons of water
Step-by-step explanation:
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
This is calculated as:
33.9 % × 67.8 gallons of water
= 0.339 × 67.8 gallons of water
= 22.9842 gallons of water
Approximately = 23 gallons of water
Therefore, 23 gallons of water are used everyday for cooking
Your answer would be y=5/3x+8
A. Independent is 12.5
B. Domain
Minimum is 15 maximum is 25
C. When she works for 11 hours she will earn $137.5
Hope this helps!
Answer:
400- (200 + 41P) = E
Step-by-step explanation:
