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Post New Question
All Questions
+0
234620 Questions
0
3
1
+2651
help me quick
Compute
4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4}}}}
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LiIIiam0216
Jul 27, 2024
0
8
0
+2651
need help
Write the following expression as a fraction in lowest terms:
2 + \cfrac{3}{3 + \cfrac{3}{3 + 3}}.
LiIIiam0216
Jul 27, 2024
0
2
1
+2651
help help
How many lattice points (points with integer coordinates) are on the line segment whose endpoints are $(3,17)$ and $(82,150)?$ (Include both endpoints in your count.)
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LiIIiam0216
Jul 27, 2024
0
5
1
+355
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.
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.
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Lilliam0216
Jul 27, 2024
0
9
0
+2651
need help
When fractions are expressed in different bases, they can be terminating or repeating. For example, when $\frac{1}{5}$ is expressed in base $3,$ the result is
0.\overline{0121}_3 = 0.01210121 \dots,
which is repeating.
When
read more ..
LiIIiam0216
Jul 27, 2024
0
1
1
+2651
help mods
Find the smallest positive integer $N$ such that
N &\equiv 2 \pmod{3}, \\
N &\equiv 2 \pmod{7}, \\
N &\equiv 2 \pmod{10}.
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LiIIiam0216
Jul 27, 2024
0
1
1
+2651
help with mods
Find the smallest positive integer $N$ such that
N &\equiv 2 \pmod{5}, \\
N &\equiv 2 \pmod{7}.
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LiIIiam0216
Jul 27, 2024
0
3
1
+2651
help me
(a) Find the last two digits of $9*5*3$.
(b) Find the last two digits of $1^{2^3}$. (By convention, exponent towers are evaluated from the top down, so $1^{2^3} = 1^{(2^3)}$.)
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LiIIiam0216
Jul 27, 2024
0
3
1
+2651
i need help
Given
a &\equiv 1 \pmod{7} \\
b &\equiv 2 \pmod{7} \\
c &\equiv 6 \pmod{7}
read more ..
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LiIIiam0216
Jul 27, 2024
0
2
1
+2651
help help
Find the remainder when $1! + 2! + 3! + \dots + 100!$ is divided by $2$.
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LiIIiam0216
Jul 27, 2024
0
8
0
+2651
need help
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.
LiIIiam0216
Jul 27, 2024
0
5
0
+2651
Number Theory
Which of the residues $0,$ $1,$ $2,$ $\dots,$ $11$ satisfy the congruence $3x \equiv 8 \pmod{5}?$
Give your answer as a list, separated by commas, in order from least to greatest.
LiIIiam0216
Jul 27, 2024
0
5
0
+2651
help number theory
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 $\phi(191)$?
LiIIiam0216
Jul 27, 2024
0
2
1
+2651
help me help
The number $100$ has four perfect square divisors, namely $1,$ $4,$ $25,$ and $100.$
What is the smallest positive integer that has exactly $2$ perfect square divisors?
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LiIIiam0216
Jul 27, 2024
0
4
0
+2651
need help
A terminal zero is a $0$ that appears at the end of a number. For example, the number $3,800$ has two terminal zeros.
How many terminal zeroes does $40 \cdot 6 \cdot 75 \cdot 12$ have?
LiIIiam0216
Jul 27, 2024
Jul 26, 2024
0
4
1
+2651
help number theory
What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{7}$ is written in base $16$?
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LiIIiam0216
Jul 26, 2024
0
6
0
+2651
need help
On planet Enigma, the residents use a currency called the confusion. There are only two confusion bills on Enigma, one worth $7$ confusions and the other worth $12$ confusions. There are also some coins of smaller value, but each weighs over
read more ..
LiIIiam0216
Jul 26, 2024
+1
3
3
+38
I have been trying to do my homework all day and i need help please and thank you
The position of a particle is given by the parametric equations
as t ranges over all real numbers.
x=3+2sin(2t)
y=4+2cos(2t)
The particle visits the points P, Q, R, S at times -pi/6, 0, pi/3, pi/2 in some order. Order
read more ..
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JRFPLSHelp
Jul 26, 2024
0
5
1
+617
Number Theory
Given
a &\equiv 1 \pmod{7} \\
b &\equiv 2 \pmod{7} \\
c &\equiv 6 \pmod{7}
read more ..
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AnswerscorrectIy
Jul 26, 2024
0
3
1
+617
Number Theory
Find the remainder when $1! + 2! + 3! + \dots + 100!$ is divided by $2$.
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AnswerscorrectIy
Jul 26, 2024
0
9
0
+617
Number Theory
For a certain positive integer $n$, the number $n^{6873}$ leaves a remainder of $3$ when divided by $23.$ What remainder does $n$ leave when divided by $23$?
AnswerscorrectIy
Jul 26, 2024
0
8
0
+617
Number Theory
For an integer $n,$ let $f(n)$ be the remainder when $n^8 + n^{16}$ is divided by $5.$ Compute $f(0) + f(1) + f(2) + f(3) + f(4).$
AnswerscorrectIy
Jul 26, 2024
0
4
0
+2651
help with mods
Find the last three digits of $35*{781}$.
LiIIiam0216
Jul 26, 2024
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