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2 years ago

6

The side of a square is Two raised to the seven halves power inches. Using the area formula A = s2, determine the area of the sq

uare.

2 answers:

AlladinOne [14]2 years ago

4 0

Answer:

Step-by-step explanation:

Area of a square = s²

s is the side length of the square

Given

s = 2^{7 1/2}

s = 2^15/2

Area = ( 2^15/2)²

Area = 2^15

Hence two area of the square is 2^15 inches

ololo11 [35]2 years ago

4 0

Answer:

A = 128 square inches

Step-by-step explanation:

A square is a figure with equal length of sides.

Given a square of side, s, $2^{\frac{7}{2} }$ inches.

Area of a square, A = length of side x length of side

= s x s

= $s^{2}$

Thus,

A = $s^{2}$

= $(2^{\frac{7}{2} } )^{2}$

= $2^{\frac{14}{2} }$

= $2^{7}$

= 128

A = 128 square inches

The are of the square is 128 square inches.

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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

3 years ago

The temperature in the late afternoon

Fantom [35]

Answer:

-7.5 - (8.5 + 5)

Step-by-step explanation:

We just add together the values of how much it dropped at different parts of the day, and subtract them from what we started with. The parenthesis are important cause we want to know what the total temperature drop for the day was before we subtract it to get the actual temperature we end up with.

6 0

3 years ago

Read 2 more answers

An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual b

Nady [450]

The length of the building in the scale drawing is 31. 25 Inches

<h3>How to determine the value</h3>

From the information given, we have that;

Scale drawing was used
0. 25 inches represents 2 feet
The length of the building is 250 feet

Then,

If 0. 25 inches = 2 feet

Then x inches = 250 feet

cross multiply
x × 2 = 0. 25 × 2500

Multiply through, we have;

2x = 62. 5

Make 'x' the subject by dividing both sides by 2

2x/2 = 62. 5/ 2

x = 31. 25 Inches

Thus, the length of the building in the scale drawing is 31. 25 Inches

Learn more about scale drawing here:

brainly.com/question/25324744

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6 0

1 year ago

Solve the systems of equations by the elimination method:<br> -2x + 2y = 2<br> -4y - 2x = -22

bekas [8.4K]

Answer:

(3,4)

Step by step explanation:

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3 years ago

Three friends jogged last month. Richard jogged 9 miles last month. Jenna jogged 2 times as many as Richard. Brian jogged 4 time

gavmur [86]

Answer:

richard = 9

jenna = 9x2, jenna = 18

brian = 9x4 brian = 36

7 0

3 years ago

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