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Mariulka [41]
3 years ago
5

To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2022 is 20222022. Is

there a positive integer whose echo is a perfect square
Mathematics
1 answer:
Lynna [10]3 years ago
8 0

The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281.

<h3>What echo number is a perfect square</h3>

An <em>echo</em> number has a <em>perfect</em> square if its square root is also a <em>natural</em> number. After some iterations we found that <em>echo</em> number 20222022202220222022 is a <em>perfect</em> square:

\sqrt{20222022202220222022} = 4496890281

The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281. \blacksquare

To learn more on natural numbers, we kindly invite to check this verified question: brainly.com/question/17429689

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The equation table below represents Lavaughn's earnings in dollars and
ra1l [238]

The rate of change is also known as the slope. The formula to find the slope of a line is (y2 - y1) / (x2 - x1).

You can use any two points, as long as both are on the line.

Point 1 = (2, 55)

Point 2 = (8, 220)

slope = (220 - 55) / (8 - 2)

slope = 165 / 6

slope = 55 / 2 = 27.5 / 1

Lavaughn earns $27.50 for working one hour.

Hope this helps!

5 0
2 years ago
What is the product if a-3 and -2a^2+15a+6b2
Ierofanga [76]

The product if a-3 and -2a^2+15a+6b^2 is: -2a^3+21a^2+6ab^2-45a-18b^2

Step-by-step explanation:

In order to find the product of 2 expressions, distributive property can be used.

Given expressions are:

a-3\\and\\-2a^2+15a+6b^2

Product of given expressions

= (a-3)(-2a^2+15a+6b^2)\\= a(-2a^2+15a+6b^2)-3(-2a^2+15a+6b^2)\\= -2a^3+15a^2+6ab^2+6a^2-45a-18b^2

Combining like terms

= -2a^3+15a^2+6a^2+6ab^2-45a-18b^2\\=-2a^3+21a^2+6ab^2-45a-18b^2

Hence,

The product if a-3 and -2a^2+15a+6b^2 is: -2a^3+21a^2+6ab^2-45a-18b^2

Keywords: Expressions, product

Learn more about expressions at:

  • brainly.com/question/3269852
  • brainly.com/question/3280369

#LearnwithBrainly

3 0
4 years ago
Solve the following multiplication problem.<br><br> 11 cu. yd. 17 cu. in. × 135
Gekata [30.6K]

Answer:

69,286,455 cu inches

Step-by-step explanation:

<u>Step 1: Convert yards to inches</u>

1 cu yard = 46656 cu inches

11 cu yard = y cu inches

<em>Cross multiply</em>

y = 11 x 46656

y = 513216 cu inches

<u>Step 2: Find total inches</u>

513216 + 17 = 513233 cu inches

<u>Step 3: Multiply total inches by 135</u>

513233 x 135 = 69,286,455 cu inches

!!

8 0
3 years ago
Write an equation for a translation of the parent function y = |x| to translate it 7 units left.
hoa [83]

9514 1404 393

Answer:

  B.  y = |x +7|

Step-by-step explanation:

The translations represented by the answer choices are ...

  A. up 7 units

  B. left 7 units . . . . the choice we want

  C. right 7 units

  D. down 7 units

___

In general, the effects of adding things to x and y are summarized by ...

  y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units

Translations left or down are accomplished by using negative values for 'a' and/or 'b.

__

We want translation 7 units left, so a=-7 and b=0

  y = |x|   ⇒   y = |x -(-7))|  or  y = |x+7|

4 0
3 years ago
Solve the equation below pls show your work no links pls.<br> <img src="https://tex.z-dn.net/?f=%289%5E%7B2%7D%20%29%5E%7B-1%2F3
avanturin [10]

Given :-

  • (9^{2} )^{-1/3}

To Find :-

  • To solve the expression .

Solution :-

Given expression to us is ,

(9^{2} )^{-1/3}

We know that ,

9 = 3^2

So our expression becomes ,

\{ (3^2)^2\}^{\frac{-1}{3}}

And , (a^m)^n =a^{mn} . Using this ,

(3^4)^{\frac{-1}{3}}

Again using the same law ,

3^{\frac{-4}{3}}

We know that , a^{-m}=\frac{1}{a^m} . Therefore ,

(3^{-4})^{\frac{1}{3}}

\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}

\\ \dfrac{1}{\sqrt[3]{3^4}}

Simplify ,

\dfrac{1}{3\sqrt[3]{3}}

This is the simplified expression.

<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>

3 0
2 years ago
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