please type the write answer​

Answer:

$8.61 (nearest cent)

Step-by-step explanation:

The graphed data with the line of best fit (attached).

From the graphing calculator, the given line of regression is:

y = 0.125873x - 7.11916

To estimate the minimum hourly wage in 2025:

⇒ x = 2025 - 1900 = 125

Substitute x = 125 into the equation:

⇒ y = 0.125873(125) - 7.11916

⇒ y = 8.614965

Therefore, minimum hourly wage = $8.61 (nearest cent)

Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points before we start, to avoid confusion and mistakes

[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{9-1}{3--1}[/tex]

Simplify

m=[tex]\frac{9-1}{3+1}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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The two linear equations in this problem are:

a) First, we know the relation:

distance = speed*time.

In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:

d(t) = (3.1 mi/h)*t

This is the linear equation that gives the distance as a function of time.

b) Now we want to get the time as a function of the distance, so we just need to isolate t,

t(d) = d/(3.1 mi/h).

This linear equation gives the time as a function of the distance d.

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                   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

            Find the equation of the line passing through (4, 5) and parallel to

                3x-2y=4.

 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

[tex]\rightarrow[/tex] First, add 2y on both sides:-

                            [tex]\Large\textsf{3x+2y=4}[/tex]

[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-

                  [tex]\Large\textsf{2y=-3x+4}[/tex]

[tex]\rightarrow[/tex] Divide by 2 on both sides

    [tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]

[tex]\rule{300}{3}[/tex]

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]

Now let's write the equation in point-slope form:-

[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]

Replace numbers with letters, as follows:-

[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]

Now, Add 5 on both sides:-

[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]

[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]

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[tex]\rule{300}{1}[/tex]

The answer is 0.8-

2/5=.4

1.2=.5

1/10=.1

Answer:

9

Step-by-step explanation:

because 3*4=12 then divide 108 by 12 giving you 9

The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

The substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.

From the question, we are to determine the reason that best supports Statement 3

In the diagram, statement 3 is

m∠A ÷ 5 = 20°

From the given expressions,

m∠A ÷ 5 = m∠B and m∠B = 20°

By the substitution property, we can substitute 20° for m∠B in the first expression

That is,

m∠A ÷ 5 = m∠B  becomes

m∠A ÷ 5 = 20°

Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

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Answer:

$7,657.69

Step-by-step explanation:

To find this, use the interest formula:

[tex]A = P(1+r)^{t}[/tex]
A = final amount

P = principal amount ($6,000)

r = interest rate (5% or 0.05)

t = time (5 years)

Given this formula, we can plug in the information and find how much Aiden has after 5 years:

[tex]A = 6000(1+0.05)^{5}[/tex]

[tex]A = 6000(1.05)^{5}[/tex]

[tex]A = 7657.69[/tex]

Therefore, after 5 years Aiden will have $7,657.69.

I hope this helps! Good luck!

Answer:

It would be C.

Step-by-step explanation:

Hope this helps! :)

Answer:

x = 67°

Step-by-step explanation:

The sum of the exterior angles of a convex pentagon is 360°.

Hence, by adding the given angle measures, we can find x.

⇒ x + 77 + 72 + 64 + 80 = 360

⇒ x + 149 + 144 = 360

⇒ x + 293 = 360

⇒ x = 67°

Answer:

Step-by-step explanation:

We know that exterior angles of any polygon sum to 360°.

Use the given angle measures to find the sum

Solve it for x

Answer:

A. -1 ≤ x ≤ 3

Step-by-step explanation:

According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:

[-1, 3] or -1 ≤ x ≤ 3

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]

Answer:

x = 10.

Step-by-step explanation:

By similar triangles:

3x - 5 / (3x - 5 +10) = 20 / 28

3x-5 / 3x+5 = 5/7

7(3x - 5) = 5(3x + 5)

21x - 35 = 15x + 25

6x = 60

x = 10.

Answer:

x= 10

Step-by-step explanation:

By similar triangles:

3x - 5 / (3x - 5 +10) = 20 / 28

3x-5 / 3x+5 = 5/7

7(3x - 5) = 5(3x + 5)

21x - 35 = 15x + 25

6x = 60

x = 10.

Answer:

n = 9 / 2 or 4.5

Step-by-step explanation:

2/3 = 3/N

cross multiply

2 x n = 2n

3 x 3 = 9

2n = 9

divided both sides by 2

2n / 2 = 9 / 2

n = 9 / 2

Answer:

  1, 5, 10, 10, 5, 1

Step-by-step explanation:

The coefficients for the expansion of the 5th power of a binomial are found on the 5th row of Pascal's triangle. They are ...

  1, 5, 10, 10, 5, 1

__

Algebraically, they are computed using the formula for 5 things taken k at a time:

  5!/(k!(5-k)!)

Answer:

[tex]y \: intercept = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

The y intercept form for the equation of a line is

[tex]y = mx + c[/tex]

You should note that c represents the y-intercept of the line (where the line touches the y-axis)

[tex]y = mx + c \\ \\ we \:were\: given \:the \:equation \:y = x - \frac{3}{2} \\ \\ therefore \: the\: value \:of \:c \:is\: - \frac{3}{2} \:or -1 \frac {1}{2}[/tex]

The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm y = \dfrac{cos(x)}{x}[/tex]

From the definition of the even and odd function:

If f(-x) = f(x) then it is an even function

If f(-x) = -f(x) then it is an odd function

[tex]\rm y(-1) = \dfrac{cos(-x)}{-x}[/tex]

[tex]\rm y(-1) = -\dfrac{cos(x)}{x}[/tex]

cos(-x) = cosx

Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.

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Answer :

Explaination :

Here we are given with two equations,

So in order to calculate the number of hours (h). We would simply substitute the value of f in first equation. (i.e., keeping them equal)

>> 7h + 20 = 10h + 5

>> 10h - 7h = 20 - 5

>> 3h = 15

>> h = 15 / 3

>> h = 5

Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.

Answer:

G, F, H

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the correct statement is given by:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]

In this problem, for sophomores, we have that:

np = 32 x 0.18 = 5.76 < 10.

Hence the distribution cannot be normal, which means that the correct statement is:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

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Answer:

[tex] \approx58\%[/tex]

Step-by-step explanation:

Answer: The function h because the graphs of f and h are symmetrical about the line y=x.

Answer:

It would most likely be 65

Step-by-step explanation:

180 - 115 = 65

Answer:

115°

Step-by-step explanation:

The measure of an arc is the measure of its central angle.

Since the central angle is 115°, its intercepted arc (which is marked with the questionmark) is also going to be 115°.

Answer:

the surface area of a rectangular prism

Step-by-step explanation:

Answer:

312cm2

Step-by-step explanation:

16*12=192

10*6/2=30

30*4=120

192+120=312

Answer:

D. 5/6 and 10/12

Step-by-step explanation:

Answer:

A≈391.18

Step-by-step explanation:

The formula to find the surface area of a triangular prism is as follows:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Plug in . .

A=ah+bh+ch+[tex]\frac{1}{2}[/tex][tex]\sqrt{ a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4}[/tex]

A = 6 * 20 + 6 * 20 + 6 * 20 + [tex]\frac{1}{2}[/tex] * [tex]\sqrt{64 + 2 * (6 * 6)2 + 2 * (6 * 6)2 - 64 + 2 *(6 * 6)2 * 64}[/tex]

A≈391.18

Answer:

391.2 square cm

Step-by-step explanation:

  l = 20 cm  

Base area = 15.6 square cm

   [tex]\sf \boxed{\text{Surface area of triangular prism = Perimeter of base * l + 2*base area}}[/tex]

                                                        = (6+6+6)*20 + 2*15.6

                                                        = 18*20 + 31.2

                                                        = 360 +31.2

                                                         = 391.2 square cm

Answer:

3.5

Step-by-step explanation:

17.50 divided by 5 is 3.5 so 1 pound is 3.5