For each of the following congruences, find all integers N, with N>1, that make the congruence true.

$23\equiv 13(mod\text{}N)$ .

CMIIh
2020-12-21
Answered

For each of the following congruences, find all integers N, with N>1, that make the congruence true.

$23\equiv 13(mod\text{}N)$ .

You can still ask an expert for help

Ayesha Gomez

Answered 2020-12-22
Author has **104** answers

Concept used:

$x\equiv y(mod\text{}n)$ if and only if x and y differ by a multiple of n.

The given congruence is,

$23\equiv 13(mod\text{}N)$ .

The difference of the given congruence integers is calculated as,

$x-y=23-13=10$

The factors of 10 for N > 1 are 2,5, and 10 , so the integers for the given congruences are 2,5, and 10.

Thus, the integers for the given congruences are 2,5, and 10.

The given congruence is,

The difference of the given congruence integers is calculated as,

The factors of 10 for N > 1 are 2,5, and 10 , so the integers for the given congruences are 2,5, and 10.

Thus, the integers for the given congruences are 2,5, and 10.

asked 2021-03-07

The value of the operation [9][6] in

asked 2022-07-22

Finding the volume bounded by surface in spherical coordinates

$R=4-1\mathrm{cos}(\varphi )$

$R=4-1\mathrm{cos}(\varphi )$

asked 2021-10-17

Given a rectangular card that is 5 inches long and 3 inches wide, what does it mean for ]another rectangular card to have the same shape?

asked 2021-08-06

Calculate the volume of this shape. Leave your answer in terms of $\pi$ .

asked 2021-01-13

The base of a rectangular prism has an area of 19.4 square meters and the prism has a volume of 306.52 cubic meters. Write an equation that can be used to find the height h of the prism. Then find the height of the prism.

asked 2021-11-23

In the diagram, CD is tangent to circles A and B, and he circles are tangent to each other. Answer this question If CD = 15 and AB = 17 and CB = 6, find AD = ?

asked 2022-07-17

Triple integrals-finding the volume of cylinder.

Find the volume of cylinder with base as the disk of unit radius in the xy plane centered at (1, 1, 0) and the top being the surface $z=((x-1{)}^{2}+(y-1{)}^{2}{)}^{3/2}.$.

I just knew that this problem uses triple integral concept but dont know how to start. I just need someone to suggest an idea to start. I will proceed then.

Find the volume of cylinder with base as the disk of unit radius in the xy plane centered at (1, 1, 0) and the top being the surface $z=((x-1{)}^{2}+(y-1{)}^{2}{)}^{3/2}.$.

I just knew that this problem uses triple integral concept but dont know how to start. I just need someone to suggest an idea to start. I will proceed then.