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3 years ago

6

which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rationa

l and whole numbers

1 answer:

IgorC [24]3 years ago

3 0

Answer:

Rational and whole numbers

Step-by-step explanation:

7x7=49 which is a whole number which automatically makes it rational!

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If f^-1(x) is the inverse of f(x), which statement must be true?

k0ka [10]

F(f-1x) will be equal to x

take a simple example

f(x) = 2x

so x = f(x) / 2

f-1(x) = x/2

f(f-1x) = 2 ( x/2) = 2 * x/2 = x

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3 years ago

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On September 25, 2014 Colson Corp. sold 200,000 widgetrons to Cavanaugh Corp at $5 per unit. Half of the units were delivered on

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On September 25.2014 Colson Corp. sold 200.000 widgetrons for 5$ per unit.
200.000*5$=1.000.000$. Same day company was paid for 40% which is 400.000$.
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3 years ago

Find the inverse of ????−7 −2

Masja [62]

Answer:

$A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

Step-by-step explanation:

$A=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}$

$det\ A=-7\times 1-(-2)\times 4\\\Rightarrow det\ A=1$

$A^{-1}=\frac{1}{det\ A}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\frac{1}{1}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$\therefore A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$A.A^{-1}=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}\times \begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}\left(-7\right)\cdot \:1+\left(-2\right)\left(-4\right)&\left(-7\right)\cdot \:2+\left(-2\right)\left(-7\right)\\ 4\cdot \:1+1\cdot \left(-4\right)&4\cdot \:2+1\cdot \left(-7\right)\end{pmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}1&0\\ 0&1\end{pmatrix}$

Hence, confirmed

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4 years ago

A certain mathematics contest has a peculiar way of giving prizes. Five people are named as Grand Prize winners, but their finis

bixtya [17]

Answer:

The number of complete award announcements possible are 19,554,575,040.

Step-by-step explanation:

Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.

Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.

The number of people entering this year is 22.

The number of ways to select 5 people for Grand Prize is, ${22\choose 5}=\frac{22!}{5!(22-5)!} =26334$ .

The remaining number of people is, 22 - 5 = 17.

It is provided that the other 5 are selected according to an order.

The number of ways to select other 5 winners is,

$^{17}P_{5}=\frac{17!}{(17-5)!} =742560$

The total number of ways to select 10 winners of 22 is:

Total number of ways = 26334 × 742560 = 19,554,575,040.

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3 years ago

Pamela is 6 years older than jiri. The sum of their ages is 74. What is jiri’s age?

schepotkina [342]

Answer:

Jiri is 34 years old.

Step-by-step explanation:

The first thing you want to do is subtract 6 from 74, since Pamela is 6 years older than jiri and their ages summarized is 74, this spans the age difference.

Next you want to divide the answer you got earlier (68, from subtracting 6 from 74) and divide it by two since there are two people. The answer is 34, Jiri is 34 years old and Pamela is 40 years old.

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