All Questions ⁺⁰237826 Questions

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need help mods

Find the units digit of $13*287$.

LiIIiam0216 Jul 26, 2024

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20

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+363

Let $m$ and $n$ be non-negative integers. If $m = 6n + 2$, then what integer between $0$ and $m$ is the inverse of $3$ modulo $m$? Answer in

Let m and n be non-negative integers. If m=6n+2, then what integer between 0 and m is the inverse of 3 modulo m? Answer in terms of n.

Lilliam0216 Jul 26, 2024

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42

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+2730

help me plz

Express 0.\overline{2123} as a base 10 fraction in reduced form.

LiIIiam0216 Jul 26, 2024

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43

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+2730

help help

Express 0.11012 as a base 10 fraction in reduced form.

LiIIiam0216 Jul 26, 2024

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69

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+2730

help with bases

What is 100000_{16} * E21A8_{16} in base 16?

LiIIiam0216 Jul 26, 2024

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64

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+2730

need help

Let N be a positive integer. The number N has three digits when expressed in base 7. When the number N is expressed in base 18, it has the same three digits, in reverse order. What is N? (Express your answer in decimal read more ..

LiIIiam0216 Jul 26, 2024

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25

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+363

Find all integers $n$, $0 \le n < 163$, such that $n$ is its own inverse modulo $163.$

Find all integers n, 0<=n<163, such that n is its own inverse modulo 163

Lilliam0216 Jul 26, 2024

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54

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+616

Algebra

Let
f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.
Find the inverse $f^{-1}(x)$.

onyuIee Jul 26, 2024

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70

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+616

Algebra

Let $f(x) = 3x - 8 + 4x^2$ and $g(x) = 15x + c - 3x^2$. Find $c$ if $(f \circ g)(x) = (g \circ f)(x)$ for all $x$.

onyuIee Jul 26, 2024

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26

4

+282

Euler's Totient Function Problems

For a positive integer $n$, $\phi(n)$ denotes the number of positive integers less than or equal to $n$ that are relatively prime to $n$.
What is $\phi(1200)$?
What is $\phi(181)$?
What is $\phi(212)$?

NotThatSmart ●●●●

BRAINBOLT Jul 26, 2024

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40

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+616

Algebra

Find all real numbers $x$ such that $f(x) = f(f(x))$, where $f(x) = x^2 - 3x + x^3 - 7x^2 + 5x.$

onyuIee Jul 26, 2024

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62

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+616

Algebra

The function $f(x,y)$ gives an ordered pair as output. It is defined according to the following rules:
* If $x > 4$, $f(x,y) = (x - 4,y)$.
* If $x \le 4$ but $y > 4$, $f(x,y) = (x,y - 4)$.
* Otherwise, $f(x,y) = (x + y + 11, read more ..

onyuIee Jul 26, 2024

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73

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+1317

Number Theory

The Fibonacci sequence is defined by F_1 = F_2 = 1 and F_{n + 2} = F_{n + 1} + F_n. Find the remainder when F_{1000} is divided by 17.

AnswerscorrectIy Jul 26, 2024

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65

1

+1317

Number Theory

The number $N$ is a multiple of $7$. The base $2$ representation of $N$ is
10011010011ABC110_2.
Compute the ordered triple of digits $(A,B,C)$.

AnswerscorrectIy Jul 26, 2024

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51

1

+1317

Number Theory

Find a six-digit multiple of $64$ that consists only of the digits $2$ and $4$.

AnswerscorrectIy Jul 26, 2024

+1

22

2

+35

simplify in radiacal expression

simplify in radiacal expression

AHGSIGMA Jul 26, 2024

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45

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+972

Counting

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

Rangcr897 Jul 26, 2024

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71

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+972

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

Rangcr897 Jul 26, 2024

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57

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+27

A* path finding for multi agent robots

Can someone please give me an idea of how i can apply A* path finding to muliple robots in a warehouse? please?

Tuckerrrr Jul 26, 2024

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54

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+1524

Number Theory

Let $a$ be an integer such that $0 \le a \le 7$ and $a^2 \equiv a \pmod{8}$. If $a \neq 0,$ then find the value of $a$.

learnmgcat Jul 26, 2024

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72

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+1524

Number Theory

Let $a$ be an integer such that $0 \le a \le 10$ and $a^2 \equiv a \pmod{11}$. If $a \neq 0,$ then find the value of $a$.

learnmgcat Jul 26, 2024

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46

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+1524

Number Theory

Let $a$ be an integer such that $a \equiv 5 \pmod{7}$. Find the value of $a + 1 \pmod{7}$. Express your answer as a residue between $0$ and the modulus.

learnmgcat Jul 26, 2024

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66

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+1524

Number Theory

Find the last two digits of $16*{37}$.
(Compute the remainder when $16*{37}$ is divided by 100.)

learnmgcat Jul 26, 2024

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