Suppose we want to choose 5 colors, without replacement, from 18 distinct colors.

(a) If the order of the choices does not matter, how many ways can this be done?

(b) If the order of the choices matters, how many ways can this be done?

Answer:

it is not a function

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:

C. x - y = 0

Step-by-step explanation:

First find write the equation in slope-intercept form, then rewrite to convert to standard form as Ax + By = C.

Equation in Slope-intercept form:

Find m and b

m = rise/run = 1/1 = 1

b = y-intercept = 0 (where the line intercepts the y-axis)

Substitute m = 1, and b = 0 into y = mx + b

Thus:

y = (1)(x) + 0

y = x

Rewrite to convert to standard form.

Thus, the equation in standard form would be:

x - y = 0

Answer:

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Step-by-step explanation:

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:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

Answer:

NUMBER PLEASE.

Step-by-step explanation:

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

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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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:

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:

3 times x plus seven

Step-by-step explanation:

k

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:

W=13 ft L=35 feet

Step-by-step explanation:

see detailed explanation below

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:

181

Step-by-step explanation:

7× (82 - 60) + 3³

or. 7 × 22 + 27

or 154 + 27

or. 181

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:

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:

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

Answer:

Veronica will have $310.04 at the end of first five years.

Step-by-step explanation:

Principal Amount P = $230

Interest Rate r = 6%

Time t = 5 years

Compounded monthly n = 12

We need to find the future amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]

So, Veronica will have $310.04 at the end of first five years.

(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

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