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Sunny_sXe [5.5K]
3 years ago
11

Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor

{blue}{\bf\circledast}$ key chops off the first digit and moves it to the end. For example, if $6138$ is on the screen, then pressing the $\textcolor{blue}{\bf\circledast}$ key changes the display to $1386$. Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again. After all these steps, the calculator displays $243$. What number did Thea originally enter?
Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

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3 years ago
Please send help my way ty :)​
galina1969 [7]

Answer:

○ A. Graph C

Step-by-step explanation:

Starting from the y-intercept of \displaystyle [0, -4],you do \displaystyle \frac{rise}{run}by either moving one block <em>south</em><em> </em>over four blocks <em>west</em><em> </em>or one block <em>north</em><em> </em>over four blocks <em>east</em>. Now, you have to figure out which graph follows the inequality symbol in the inequality. In this case, two answer choices match this because the <em>less</em><em> </em><em>than</em><em> </em>inequality will result in a <em>dashed</em><em> </em><em>line</em>,<em> </em>so we can automatically eliminate answer choices D. and B.. Now, to figure out our graph once in for all, we need to use the zero-interval test [test point [0, 0]] to ensure if we either shade the opposite portion [the portion that does NOT contain the origin] or the portion that DOES contain the origin. We then need to verify it as false or true:

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I am joyous to assist you anytime.

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