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3 years ago

Modular arithmetic Pls a little explaine it

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

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Which set of points includes all of the solutions for y = negative three halves times x plus two? line going through 0 comma 2 a

worty [1.4K]

Answer:

$(x,-\frac{3}{2} x+2)$

Step-by-step explanation:

For $y= \frac{-3}{2} x+2$ the set of points that include all solutions are $(x,y)$ such that $y= \frac{-3}{2} x+2$ ; then we have $(x,y)=(x,\frac{-3}{2} x+2)$ .

What is important to stress here is that $(x,-\frac{3}{2} x+2)$ represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)

5 0

3 years ago

Several friends bought flowers to make table centerpieces. write the ratios of purple flowers to white flowers for each friend.

Zina [86]

The ratio for Rowan = 4:1.

The ratio for Marcia = 10:1.

The ratio for Jillian = 5:1.

The ratio for Lulua = 6:1.

The smallest ratio among these for purple to white flowers is for Rowan, that is, 4:1.

Ratios are fractions in the simplest form representing the relationship between two quantities.

The ratio of purple to white flowers for each friend can be shown as:-

Rowan:

The number of purple flowers = 8

The number of white flowers = 2

Thus, the fraction of purple to white flowers = 8/2 = 4/1.

Thus, the ratio for Rowan = 4:1.

Marcia:

The number of purple flowers = 10

The number of white flowers = 1

Thus, the fraction of purple to white flowers = 10/1.

Thus, the ratio for Marcia = 10:1.

Jillian:

The number of purple flowers = 10

The number of white flowers = 2

Thus, the fraction of purple to white flowers = 10/2 = 5/1.

Thus, the ratio for Jillian = 5:1.

Lulua:

The number of purple flowers = 18

The number of white flowers = 3

Thus, the fraction of purple to white flowers = 18/3 = 6/1.

Thus, the ratio for Lulua = 6:1.

The smallest ratio among these for purple to white flowers is for Rowan, that is, 4:1.

Learn more about ratios at

brainly.com/question/3989414

#SPJ4

4 0

2 years ago

-2 3/4 - 4 7/10 + 2.6 - (1.9) I need it asap as a decimal

Drupady [299]

Answer:

The answer is -6.75

5 0

3 years ago

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:

Alex

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

Subtract 14 from both sides

Goal:

To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

$\boxed{\boxed{\bold{x=49}}}$

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

$\rule{200}{2}$

7 0

3 years ago

In the diagram below, the perimeter of the triangle is equal to the perimeter of the square. What is the length of a side of the

kondaur [170]

The perimeter of each is the sum of the lengths of its sides.

Triangle Perimeter = 16 + 4x-3 +3x = 7x+13

Square Perimeter = 2x +2x +2x +2x = 8x

If these are equal, you have

$7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}$

The length of a side of the square is 26 units.

3 0

3 years ago