# Recent questions tagged number

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Show that $\operatorname{trace}(A B C)=\operatorname{trace}(C A B)=\operatorname{trace}(B C A)$.
Show that $\operatorname{trace}(A B C)=\operatorname{trace}(C A B)=\operatorname{trace}(B C A)$.Let $A, B$, and $C$ be any $n \times n$ matrices. a) Show that $\operatorname{trace}(A B)=\operatorname{trace}(B A)$. b) Show that $\operator ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ? 0 answers 6 views The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ?The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Interactive Drag n Drop: Fill in missing words in the paragraph 1 answer 9 views Interactive Drag n Drop: Fill in missing words in the paragraph Interactive Drag n Drop: Fill in missing words in the paragraph &nbsp; &nbsp; ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine $D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)$ 1 answer 8 views Determine $D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right)$Determine \ D_{x}\left(\frac{x^{3}+3 x^{2}+6 x+8}{x+2}\right) \ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove by induction that for every natural number n, n^{3}+2 n is divisible by 3 0 answers 3 views Prove by induction that for every natural number n, n^{3}+2 n is divisible by 3Prove by induction that for every natural number n, n^{3}+2 n is divisible by 3 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is a control variable? 1 answer 3 views What is a control variable?What is a control variable? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is \(f(x) = \dfrac{x}{x-1}$ for $x = 1$?
What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$?What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$? ...
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Determine the value of the number shown rounded to each digit's place value
Determine the value of the number shown rounded to each digit's place value &nbsp;Determine the value of the number shown rounded to each digit&#39;s place value &nbsp; ...
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Can someone show me how to determine the place value of each digit of a number
Can someone show me how to determine the place value of each digit of a numberCan someone show me how to determine the place value of each digit of a number ...
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What is a quadratic number pattern?
What is a quadratic number pattern?What is a quadratic number pattern? ...
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Without using a calculator, determine the value of: $\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}$
Without using a calculator, determine the value of: $\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}$Without using a calculator, determine the value of: \\sum_{y=3}^{10} \frac{1}{y-2}-\sum_{y=3}^{10} \frac{1}{y-1}\ ...
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Consider the sequence: $\frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots$
Consider the sequence: $\frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots$Consider the sequence: \ \frac{1}{2} ; 4 ; \frac{1}{4} ; 7 ; \frac{1}{8} ; 10 ; \ldots \ldots \ a) If the pattern continues in the same way, write ...
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Find the number of digits (base 10) of the smallest number that is divisible by all numbers from 1 to 20
Find the number of digits (base 10) of the smallest number that is divisible by all numbers from 1 to 20Find the number of digits (base 10) of the smallest number that is divisible by all numbers from 1 to 20 ...
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Evaluate $8 \div 2(2+2)=?$
Evaluate $8 \div 2(2+2)=?$Evaluate $8 \div 2(2+2)=?$ ...
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What is the closed form for the Fibonacci number?
What is the closed form for the Fibonacci number?What is the closed form for the Fibonacci number? ...
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Prove that $A \cup A=A$
Prove that $A \cup A=A$Prove that $A \cup A=A$ ...
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How can we represent the intervals on the real number line using set notation?
How can we represent the intervals on the real number line using set notation?How can we represent the intervals on the real number line using set notation? ...
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Prove that $\sqrt{2}+\sqrt{6}<\sqrt{15}$
Prove that $\sqrt{2}+\sqrt{6}<\sqrt{15}$Prove that $\sqrt{2}+\sqrt{6}&lt;\sqrt{15}$ ...
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Prove the following theorem:
Prove the following theorem:Prove the following theorem: Let $n$ and $m$ be integers. Then i. if $n$ and $m$ are both even, then $n+m$ is even, ii. if $n$ and $m$ ...
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There are 3 spoons, 4 forks and 4 knives on the table. What fraction of the utensils are forks OR knives?
There are 3 spoons, 4 forks and 4 knives on the table. What fraction of the utensils are forks OR knives?There are 3 spoons, 4 forks and 4 knives on the table. What fraction of the utensils are forks OR knives? ...
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What is a random variable in statistics?
What is a random variable in statistics?What is a random variable in statistics? ...
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In poker, what is the number of possible hands?
In poker, what is the number of possible hands?In poker, what is the number of possible hands? ...
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If $X$ and $Y$ are independent random variables, then $\operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y)$
If $X$ and $Y$ are independent random variables, then $\operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y)$If $X$ and $Y$ are independent random variables, then \ \operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y) \ ...
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Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)$
Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)$Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)$ ...
Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(c X)=c^{2} \operatorname{Var}(X)$
Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(c X)=c^{2} \operatorname{Var}(X)$Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then \(\operatorname{Var}(c X)=c^{2} \operatorname{Var} ...