Answer:
a. 6
b. 9
Step-by-step explanation:
a. The product modulo 7 can be found from the product of the individual numbers modulo 7:
(88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7
= (4·4·1·3) mod 7 = 48 mod 7 = 6
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b. Powers of 4 mod 11 repeat with period 5:
4 mod 11 = 4
4^2 mod 11 = 5
4^3 mod 11 = 9
4^4 mod 11 = 3
4^5 mod 11 = 1
So, 4^83 mod 11 = 4^3 mod 11 = 9
Leticia made a mistake in her step 2. She did subtraction before multiplication.
<h3 />
<h3>How to simplify an expression?</h3>
The expression can be simplified as follows;
4.5 ÷ 0.25 + 2.5 - 0.75 × 8
Hence, using Pemdas rule,
4.5 ÷ 0.25 + 2.5 - 0.75 × 8
18 + 2.5 - 0.75 × 8
18 + 2.5 - 6 = 14.5
Therefore, she made mistake in her step 2 because she was suppose to solve the multiplication before subtraction.
learn more on expression here: brainly.com/question/13545210
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Answer: y=2/3x-5
Explanation: The first thing I do is look for the y-intercept which is where the line goes through the y-axis, for this equation it's -5; then the slope the point goes up one and goes right 1.5, then put it into whole numbers so I'll times them by 2 so the slope is 2/3
With those you can put it into slope-intercept form: y=2/3x-5
Answer:
I would probably say 4
Step-by-step explanation:
Considering the given area of the square, it is found that it's side length is an irrational number.
<h3>What is the missing information?</h3>
This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.
<h3>What is the formula for the area of a square?</h3>
The area of an square of side length s is given by s squared, as follows:
A = s².
In this problem, the area is of 89 cm², hence:
s² = 89.
s = sqrt(89).
The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.
More can be learned about the area of a square at brainly.com/question/10489198
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