All categories

1 year ago

How many non-square numbers lie between the 215to the power of 2 and 216 to the power of 2

Mathematics

1 answer:

Vaselesa [24]1 year ago

7 0

There are 430 non square numbers that lie between $215^{2}$ and $216^{2}$ .

Given two numbers $215^{2}$ and $216^{2}$ and we are require to find non square numbers that lie between them.

Numbers can be consecutive numbers or non consecutive numbers. In our question we will find the consecutive numbers.

Square numbers are those numbers whos square is in a proper number means decimal should not be there.

First number= $215^{2}$

Second number= $216^{2}$

First we have to find the exact value of numbers by finding the square of these numbers.

First number=215*215=46225

Second number=216*216=46656

Numbers that lie between them=(46656-46225)-1

=431-1

=430

Hence 430 numbers lie between $215^{2}$ and $216^{2}$ .

Learn more about product at brainly.com/question/10873737

#SPJ4

You might be interested in

Factor the polynomial completely. Use synthetic division. F(x) = x^3-7x-6

aleksklad [387]

Answer:

The factors of given polynomial x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial

f(x) = x³ - 7x -6

put x =-1

f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

x³ x² x constant

x=-1 ↓ 1 0 -7 -6

↓ 0 -1 1 6

1 -1 -6 0

The polynomial x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

x = -1 and x² - x - 6 =0

x =-1 and x² - 3x + 2 x - 6 =0

x =-1 and x (x -3) + 2( x-3) =0

x =-1 and (x+2)(x-3) =0

Final answer:-

The factors of given polynomial x =-1 , -2 and x =3

6 0

2 years ago

Which answer best describes (n k)

trasher [3.6K]

The answer is A

Have to add characters to get to 20

8 0

2 years ago

Read 2 more answers

What is the area of this parrelogram

Dmitrij [34]

Answer:

no parallelogram, mr clean thus cannot answer.

7 0

1 year ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

2 years ago

Dion has a pizza with a diameter of 10 1/3 in . Is the square box shown big enough to fit the pizza inside? The box is 10.38 in

Artemon [7]

Yes, the box is wide enough because 10 1/3 is 10.33 repeating and the box is 10.38 (.05 inches wider than the pizza)

7 0

2 years ago