What is the area of this figure?

Answer:

W=13 ft L=35 feet

Step-by-step explanation:

see detailed explanation below

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

The slope-intercept equation of the given line is 3x + y = 25

Slope-intercept is one of the special forms of linear equations where we can find the slope-intercept of any point with its coordinates and its slope.

The line is passing through the point(x₁,y₁) = (7,4)

The slope of the line line(m) = -3

Slope-intercept equation

y-y₁ = m( x- x₁)

Where (x₁,y₁)  is (7,4) and Slope,m is -3

Let us substitute these values in the slope-intercept equation, It becomes

y - 4 = -3(x - 7)

y - 4 = -3x + 21

3x + y  = 21 + 4

3x + y = 25  

which is the slope-intercept equation of the points (7,4) and slope -3

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Answer:

y /< 5/2 x +5

Step-by-step explanation:

y is less than or equal to 5/2 x plus 5

since its a solid line and shaded below you would use less than or equal to

Answer:

81x^(2)-1

Step-by-step explanation:

Rewrite 81^(2) as (9x)^(2)

Rewrite 1 as 1^(2)

Since they are perfect squares , factor using the perfect squares formula

(9x + 1) (9x - 1)

Answer:

Radius = 1 in.

Step-by-step explanation:

Let the radius be 'r'. Diameter = 2r

Perimeter of a semicircle = Circumference of semi circle + Diameter

[tex]=>\pi r + 2r = 5.14 in.[/tex] (Let the value of π be 3.14)

[tex]=> 3.14r + 2r = 5.14in.\\=>5.14r=5.14\\=>r =\frac{5.14}{5.14} =1in.[/tex]

Answer:

one way?

Step-by-step explanation:

huh? what do you mean by this question?

Answer:

The square of m reduced by 32

m^2 - 32

The product of 5 and r, and then increased by k

5r + k

A number x in tripled and then decreased by 10

3x - 10

8 reduced by the sum of x and y

8 - (x + y)

4 more than the product of 8 and n

8n + 4

6 less than the sum of 9 and d

(9 + d) - 6

Eighty less than four times a number

4x - 80

Yvonne (y) runs three times as fast as Xavier (x). What is an algebraic translation of this?  

y = 3x

n divided by 5

n/5

a takeaway 19

a - 19

I'm not sure what you mean but I'll provide both.

5/8 + 3/4

11/8 or 1 3/8.

The common denominator of 5/8 and 3/4 is 8. 3/4 with a denominator of 8 would be 6/8.

5/8 + 6/8 = 11/8 or 1 3/8.

5/8 × 3/4

15/32.

Multiply the numerator by the numerator and the denominator by the denominator.

5 times 3 is 15 and 8 times 4 is 32.

So you get 15/32. This cannot be simplified.

Answer:

it is not a function

Answer:

NUMBER PLEASE.

Step-by-step explanation:

Answer:

3 times x plus seven

Step-by-step explanation:

k

Answer:

-1/12

Step-by-step explanation:

The line passes through (0,10) and (-600,60)

So m = (60 - 10)/(-600 - 0) = 50/(-600) = -1/12

Answer:

Variance: 26.5

Standard Deviation: 5.1478150704935

Step-by-step explanation:

First, Add up all of the numbers: 6 + 7 + 11 + 12 + 19 = 55

Square the total, and then divided the number of items in the data set55 x 55 = 3025

3025 / 5 = 605

Take your set of original numbers from step 1, squared them individually this time, and added them all up:(6 x 6) + (7 x 7) + (11 x 11) + (12 x 12) + (19 x 19) = 711

Subtract the amount in step 2 from the amount in step 3:711 - 605 = 106

Subtract 1 from the number of items in my data set:5 - 1 = 4

Divide the number in step 4 by the number in step 5:106 / 4 = 26.5

Finally, take the square root of the number from step 6 (the variance),

√(26.5) = 5.1478150704935

The model that shows 33 1/3% is the first model that has one shaded box and two unshaded boxes.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency and the sign used to represent percentages is %.

33 1/3 % is expressed as a mixed fraction, that is it is made up of a whole number and a proper fraction. In order to convert 33 1/3 % to a fraction, divide 33 1/3 % by 100

33 1/3 % ÷ 100 = 1 / 3

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Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

[tex]g(x) = x^2 + 5[/tex]

[tex]r(x) = \sqrt{x + 7}[/tex]

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

[tex]g(x) = x^2 + 5[/tex]

[tex]g(2) = 2^2 + 5[/tex]

[tex]g(2) = 4 + 5[/tex]

[tex]g(2) = 9[/tex]

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

[tex]r(x) = \sqrt{x + 7}[/tex]

[tex]r(9) = \sqrt{9 +7{[/tex]

[tex]r(9) = \sqrt{16}[/tex]{

[tex]r(9) = 4[/tex]

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

[tex]r(x) = \sqrt{x + 7}[/tex]

[tex]r(2) = \sqrt{2 + 7}[/tex]

[tex]r(2) = \sqrt{9}[/tex]

[tex]r(2) = 3[/tex]

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

[tex]g(x) = x^2 + 5[/tex]

[tex]g(3) = 3^2 + 5[/tex]

[tex]g(3) = 9 + 5[/tex]

[tex]g(3) = 14[/tex]

Hence:

(q o r)(2) = 14

The wavelength measurement of the figure is,

⇒ 2 meter

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The figure is shown in image.

Since, We know that;

Wavelength is the distance between identical points in the adjacent cycles of a waveform signal propagated in space or along a wire.

Hence, We get;

The wavelength measurement of the figure is,

⇒ 3.5 - 0.5 meter

⇒ 2 meter

Thus, The wavelength measurement of the figure is,

⇒ 2 meter

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Answer:

PLEASE BE CAREFUL NightmareMech14 IS A PREDATOR HE ASKS FOR VIDEOS OF GIRLS AND TRYS TO GET THEM TO EMAIL HIM DONT GIVE HIM ANY INFORMATION STAY SAFE COPY AND PASTE THIS EVERYWHERE

Step-by-step explanation:

Answer:

The coordinates of point Q are [tex]\mathbf{(4,2\frac{1}{2})}[/tex]

Step-by-step explanation:

The coordinates of point Q can be found looking at the graph

We need to find the value of x-coordinate and y-coordinate by looking at graph.

Check the value of x-coordinate that matches point Q similarly check the value of y-coordinate that matches point Q

Looking at the graph Point Q is at x=4 and y=2.5 or [tex]2\frac{1}{2}[/tex]

So,  The coordinates of point Q are [tex]\mathbf{(4,2\frac{1}{2})}[/tex]

Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

[tex]y\le -\frac{3}{4}x-1[/tex]

substituting (-1, -5)  to check whether it satisfies the inequality or not

[tex]-5\le \:-\frac{3}{4}\left(-1\right)-1[/tex]

[tex]-5\:\le \:\frac{3}{4}-1[/tex]

[tex]-5\:\le -\frac{1}{4}[/tex]

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

x+8+2x-(2x+13)=0

We add all the numbers together, and all the variables:

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

We add all the numbers together, and all the variables:

x-5=0

We move all terms containing x to the left, all other terms to the right:

x=5

Answer:

A)

Step-by-step explanation:

The correct expression which represents ''3 less than 5 times a number'' would be,

A) 5n - 3

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that,

A mathematical expression is,

''3 less than 5 times a number''

Let us assume that,

A number = x

Hence, the expression to represent ''3 less than 5 times a number'' is,

⇒ (5 × n) - 3

⇒ 5n - 3

So, the correct option is,

A) 5n - 3

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Answer:

181

Step-by-step explanation:

7× (82 - 60) + 3³

or. 7 × 22 + 27

or 154 + 27

or. 181