1. The table shows the minimum wage rates for the United States during different years.
Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009
Minimum hourly wage 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25
(a) Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage.
(b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work.

PLS ANSWER CORRECTLY WITH AN EXPLANATION

Answer:

14

Step-by-step explanation:

You add 50 and 26 together to get 76, then you subtract 90 and 76 to get 14

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

d+ 2d + 60 = 180

3d = 180 - 60

3d = 120

d = 40

The angles are 40, 80, 60

Answer:

x = 7

y = 4

Step-by-step explanation:

y + 12 = 3x - 5

5y - 4 = 3x - 5

So y + 12 = 5y - x

To solve the equation above, y =4

Sub y = 4,

x = 7

Answer:

50 grams

Step-by-step explanation:

From the above question:

Chicken : Turkey

= 4:1

Sum Proportions = 4 + 1 = 5

We have to find the weight in grams of the entire pie

Let us represent the weight in grams of the entire pie = x.

The pie contains 200g of Chicken.

Hence:

4/5 × x = 200g

4x/5 = 200g

Cross Multiply

4x = 200g × 5

x = 200g × 5/4

x = 250g

The amount turkey that is in the pie is calculated as:

Total weight of pie - Amount of Chicken in the pie

= 250g - 200g

= 50 g

Answer:

0

Step-by-step explanation:

F(1) = 1^3-1^2-1+1

F(1)=-1+1

F(1)=0

f(x)=x^3-x^2-x+1

f(1) = 1^3-1^2-1+1

f(1)=-1+1

f(1)=2

A function of an expression, rule, or law that defines the relationship between one variable (independent variable) and another (dependent variable) in mathematics. Functions are ubiquitous in mathematics and are essential for the formulation of physical relationships in the natural sciences.

Functions can be defined as a set of ordered pairs. Example: {(2,4), (3,5), (7, 3)} is a function that says. "2 is associated with 4," "3 is associated with 5," and "7 is associated with 3." Also note that the domain is {2,3,7} (input value). A

function is defined as a relationship between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or scope.

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Answer:

Step-by-step explanation:

2/6=33.33

Answer:

The Surface area is 148

Step-by-step explanation:

For the front and back each side is 30 since 6x5=30. Therefore total 60

For the left and right it is 5x4=20. Each side 20 therefore total 40

For top and bottom it is 6x4=24. 24x2 =48 so total 48.

In total combined: 40+60+48=148

Answer:

side AC =[tex]10\sqrt{3}[/tex]  , angle A=30 degree   , angle B=60 degree

Step-by-step explanation:

using pythagors theorem

a^2 + b^2 =c^2

here a and b are the legs of the triangle whereas c is hypotenuse so,

10^2 + AC^2 = 20^2

100 + AC^2 = 400

AC^2 =400-100

AC^2 =300

AC=[tex]\sqrt{300}[/tex]

AC=[tex]10\sqrt{3}[/tex]

For angle A

take angle A as reference angle

using sin rule

sin A =opposite/hypotenuse

sin A=[tex]\frac{10}{20}[/tex]

sin A=[tex]\frac{1}{2}[/tex]

A=[tex]sin^{-1} (\frac{1}{2} )[/tex]

A=30 degree

For angle B

angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)

30 + angle B + 90=180

120 + angle B =180

angle B =180-120

angle B =60 degree

Answer:

The answer to calculate this will be:

5

π

6

The required value of tan(7π/12) = √[(2+√3)/(2-√3)].

To find the exact value of tan(7π/12).

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]

tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
                 =  √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]

                  =  √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
                 =  √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]

Here, cos( π/6 ) = √3/2
                  =  √ [ (1 + √3/2 ) / (1 - √3/2 ]
                 =  √ [ (2 + √3)/2  / (2- √3)/2 ]
                 = √ [ (2 + √3) / (2- √3) ]

Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].

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Answer:B)360

Step-by-step explanation:

Answer:

B 360

Step-by-step explanation:

Answer:

Step-by-step explanation:

so u gotta do 1=1/9nk

Answer:

True, a translation is a slide of a congruent shapes.

Step-by-step explanation:

If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

the answer is in the image above

Answer:

mn = 4

Step-by-step explanation:

(m+n)^2 = m^2 + 2mn + n^2

(m-n)^2 = m^2 - 2mn + n^2 multply the second equation by (-1) then subtract it from first equation

m^2 + 2mn + n^2 - m^2 + 2mn - n^2 = 16

4mn = 16 divide both sides by 4

mn = 4

Answer:

6 boxes wide

6 boxes wide

or 2high 2high 2high 2high 2high 2high

Step-by-step explanation:

6 wide and 6 wide to make 12. 6x2=12

2 high ×6 2×6=12

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

Work Shown:

The order of length, width and height doesn't matter

SA = surface area of rectangular prism

SA = 2*(LW + LH + WH)

SA = 2*(2*6 + 2*9 + 6*9)

SA = 2*(12 + 18 + 54)

SA = 2*(30+54)

SA = 2*(84)

SA = 168 square cm

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

Answer:

1

Step-by-step explanation:

if y = 1 then [tex]y^{5} = 1 . 1 . 1. 1.1 = 1[/tex]

Answer: 1

Step-by-step explanation:

its just 1 because you just multiplied 1 by1 5 times

Answer:

A

Step-by-step explanation:

The midsegment is half the sum of the parallel bases, that is

21 - x = [tex]\frac{1}{2}[/tex] (17 + 11)

21 -x = [tex]\frac{1}{2}[/tex] × 28 = 14 ( subtract 21 from both sides )

- x = - 7 ( multiply both sides by - 1 )

x = 7 → A

The value of x is 7

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.

In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:

Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,

(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )

This is known as the midpoint theorem formula.

As, midsegment is half the sum of the parallel bases

21 - x = 1/2 (17 + 11)

21 - x= 12* 28

21-x= 14

x= 7

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Answer:

33 minutes

Step-by-step explanation:

Answer:

33 minutes

Step-by-step explanation:

To go from 13:49 to 14:00, that is 11 minutes

To go from 14:00 to 14:22 is 22 minutes

22 + 11 = 33

Hope this helps!

Answer:

The first one, A

Step-by-step explanation:

DJ costs $300 in total.

For every student there is $5.

We want a profit of 1,500, so the total money earned from students attending subtracted by the costs of the DJ should be 1,500.

5n - 300 = 1,500

For the second one, it'll be the DJ giving you $300.

The last Two answers has an n where it's supposed to be money when n represents each student.

Answer:

it would be A

Step-by-step explanation: MUHAMMADO AVDOLLLLLL

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

Answer: 0.421, 0.422, 0.423, 0.43, 0.434

Step-by-step explanation:

Answer:

should be y=-2/1x+2

Step-by-step explanation:

because the slope is going down 2 over 1 and the y-intercept is at positive 2

Complete question is;

The blueprint of a deck has a scale of 2 centimeters equals 9 feet.

A) What are the actual lengths of the sides of the deck?

B) Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answer:

A) actual lengths are;

27 ft, 36 ft and 45 ft

B) cost of entire deck = $850.5

Step-by-step explanation:

A) From the attached image, we see that the sides of the triangle deck are;

8cm, 10cm and 6 cm

Now, we know that 2cm represents 9 ft.

Thus;

8cm will be; 8 × 9/2 = 36 ft

10 cm will be; 10 × 9/2 = 45 ft

6 cm will be; 6 × 9/2 = 27 ft

Thus, actual lengths are;

27 ft, 36 ft and 45 ft

B) Area of deck is Area of triangle = ½ × base × height.

In this diagram, base = 6 cm = 27ft

Height = 8 cm = 36 ft

Thus;

Area of deck = ½ × 27 × 36

Area of deck = 486 ft²

We are told that the Decking costs $1.75 per ft²

Thus;

Cost of entire deck = 1.75 × 486 = $850.5

Given:

Consider the given equation is:

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                                      ...(i)

Where, m is the slope and b is y-intercept.

We have,

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{7}{2}[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{7}{2}[/tex].

Answer:

B, I don't remember the reasoning but I know that's the answer

Answer:

Isn't there anything else than that?