3. Consider the multiplication operations below and choose whether the fosuit com
be rational, Inational, or both.
Irrational
Expressions
Rational
8. VE
О
tvo. V
V3.12
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The volume of the given figure us = 36 cubic units

The formula for calculating the volume of rectangular prism is expressed as:

V =lwh

where

l is the length

w is the width

h is the height

T of the given figure is expressed as:

V = 2(3)(5) + 2(3)(1)

V = 30 + 6

V = 36 cubic units

Hence the volume of the given figure is 36 cubic units

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Answer:

Step-by-step explanation:

Remember:

[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]

[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]

[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]

[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]

Answer:

mid point is (1, 8)

Step-by-step explanation:

[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]

x1 is 2

x2 is 0

y1 is 8

y2 is 8

[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]

Answer:

A

Step-by-step explanation:

For each point along it goes 1 point up, if it was 4x it'd go 4 points up

The domain is a description of the x-values used in the graph. It's the "how far left and right does the graph go?" description.

In the attached graph, you'll see this highlighted against the x-axis.

How far left does the graph go? How far right? Does it include the endpoints?

The expression for the perimeter of the rectangle is 63.2x - 14.6.

Given that,

We Know that

Perimeter of the rectangle is

[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]

= 63.2x - 14.6

Here the above formula should be applied for measuring the perimeter of the rectangle.

Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

24.3

Step-by-step explanation:

First you solve the sides:

24.6-10.4 =14.2

7+3.1=10.1

After that ,you will add because perimeter is adding up the side lengths of various shapes.

14.2+10.1=24.3

Answer:

O (6, -12)

Step-by-step explanation:

For 8x + 2y = 24, the point (6, -12) lies in the graph.

Step-by-step explanation:

initial velocity= 27

final velocity= 0

time = 3 sec

now

a= 0-27/3

a=-9 m/s^2

Answer:

If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245

Answer:

8 or 9

Step-by-step explanation:

4 times 8 equals 32, and 4 times 9 equals 36

Answer:

x⁴/4

Step-by-step explanation:

(20x‐³/10x‐1)‐²

= > 20/10 = 2

so = (2x-³/x-¹)-²

= (2/x²)-²....................(a/b)-²=(b/a)²

= (x²/2)²

= x⁴/2

Answer:

I will help

Step-by-step explanation:

This value is approximate.

====================================================

Explanation:

Let's convert x = 30 to its corresponding z score

z = (x-mu)/sigma

z = (30-63)/11

z = -33/11

z = -3

This score is 3 standard deviations below the mean.

Repeat for x = 52

z = (x-mu)/sigma

z = (52-63)/11

z = -11/11

z = -1

This score is 1 standard deviation below the mean.

The task of finding P(30 < x < 52) is the same as P(-3 < z < -1)

We converted to z scores so we could use the Empirical Rule.

Refer to the chart below. We'll be focusing on the left green portion that is between z = -3 and z = -2 and the left blue portion which is between z = -2 and z = -1.

Those two approximate areas add to:  (2.35%) + (13.5%) = 15.85%

Answer:

[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]

Subtract 5 from both sides:

[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

I hope this helps!

Answer:

1.-4

2.7

3.-11

4.18

5.13

Step-by-step explanation:

0-4=-4

-2+9=7

-2-9=-11

5+13=18

-10+23=13

Answer:

in this figure B: 32 square units

Answer:

x = ±12

Step-by-step explanation:

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = ±12

Answer:

Choice 3

Step-by-step explanation:

[tex]\sqrt{144}[/tex] is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

2+4 6(8)

Step-by-step explanation:

pls give brainliest

Answer:

2+4=6/6×8=48

hope this helped

Answer:

y = [tex]\frac{2}{3} x + 9[/tex]

Step-by-step explanation:

I. If y = mx + b

  when y is output, x is input , m is slope and b is addition

 so y - 2x = 9

      y = 9 + 2x

      y = 2x + 9

Replace 2 with [tex]\frac{2}{3}[/tex]

     y = [tex]\frac{2}{3} x[/tex] + 9

Answer:

a is 3

Step-by-step explanation:

[tex]ay - 2x = 9 \\ ay = 2x + 9 \\ y = \frac{2}{a} x + \frac{9}{a} [/tex]

General equation:

[tex]{ \bf{y = mx + c}}[/tex]

m is slope; m = ⅔

by comparison:

[tex] \frac{2}{3} = \frac{2}{a} \\ \\ 2a = 6 \\ a = 3[/tex]

Answer:

$192

Step-by-step explanation:

→ Set up equation

3.40h + 0.20u

→ Substitute in the numbers

( 3.40 × 40 ) + ( 0.20 × 280 )

→ Simplify

192

Answer:

192

Step-by-step explanation:

Make a formula, multiply the hourly wage by the number of hours she worked and add that to the number unit price multiplied by the number of units assembled. Then you 192

Answer:

0.51

Step-by-step explanation:

-32÷(-61)

in this case the subtraction have to cancel themselves

so it'll remain

32÷61

=0.508

approximately ~=0.51

Answer: There is an association because the distribution of correct guesses is the same among the mint groups.

Step-by-step explanation:

We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.

Answer:

y = -1/4x + 7

Step-by-step explanation:

Plug in the point and slope into y = mx + b, and solve for b:

y = mx + b

8 = -1/4(-4) + b

8 = 1 + b

7 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -1/4x + 7

So, the equation of the line is y = -1/4x + 7

Answer:

X=6+3y

y=x-6/3

Step-by-step explanation:

1)x-3y+3y=6+3y

            x=6+3y

2)3y+6=x

      3y=x-6

       y=x-6/3

Answer:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]

Distribute:

[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]

Rearrange:

[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]

Combine like terms:

[tex]\displaystyle = a^2 + 3a -20[/tex]

In conclusion:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Even numbers are closed under addition.

Answer: True

Answer:

Even numbers are closed under addition.

Answer: True

Step-by-step explanation:

Answer:

340 inch²

Step-by-step explanation:

Side of the square is equal to the base of the triangle.

Area of square base

= side²

= (10 inch)²

= 100 inch²

Area of each triangle

= ½ × base × height

= ½ × 10 inch × 12 inch

= 10 inch × 6 inch

= 60 inch²

So, area of 4 triangles used

= Area of each triangle × 4

= 60 inch² × 4

= 240 inch²

Total surface area of pyramid

= Area of square base + area of 4 triangles

= 100 inch² + 240 inch²

= 340 inch²