Which two wholes numbers does 3 2/10 lie between?

y = kx

30 = 6k

k = 5

a) y = 5x

y = 5 × 12

b) y = 60

The equation that connects y and x here is y = 5x, found by realizing y is directly proportional to x. Substituting the given values into this equation reveals that when x = 12, y = 60.

In the given question, y is directly proportional to x. This can be written as y=kx, where 'k' is the constant of proportionality. When y=30 and x=6, substituting these values into the equation gives us 30=k*6. Solving for 'k', we get k=30/6 = 5, meaning our equation becomes y = 5x.

For part b), we can find the value of y when x=12 by substituting the value of x in our equation, y = 5x. This gives us y = 5*12, which results in y = 60.

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Answer:

The equation of the line of best fit is y = (-9/7)x + 13.

Step-by-step explanation:

The y-intercept of this straight line is (0, 13); we could also say that b = 13.

Two points on the graph are (0, 13) and (7, 4).  As we go from x = 0 to x = 7, x increases by 7; at the same time, y decreases by 9.  

From this observation, we can easily calculate the slope of this line:

m = rise / run = -9/7.

Then the equation of the line of best fit is y = (-9/7)x + 13.

The equation which represents the line that best fits the given data points is [tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

Certainly! Let's go through the steps to find the equation of the line using the points (0, 15) and (10, 0).

1. Calculate the Slope [tex](\(m\))[/tex]:

The slope of a line [tex](\(m\))[/tex] is given by the formula:

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

Using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex]:

[tex]\[ m = \frac{0 - 15}{10 - 0} \][/tex]

[tex]\[ m = \frac{-15}{10} \][/tex]

[tex]\[ m = -\frac{15}{10} \][/tex]

This can be simplified further by dividing the numerator and denominator by 5:

[tex]\[ m = -\frac{3}{2} \][/tex]

So, the slope[tex](\(m\))[/tex] is [tex]\(-\frac{3}{2}\).[/tex]

2. Find the Y-Intercept [tex](\(b\))[/tex]:

The y-intercept [tex](\(b\))[/tex] is the y-value when (x = 0). We are given the point [tex]\((0, 15)\),[/tex] so the y-intercept is 15.

3. Write the Equation of the Line:

The equation of a line is in the form (y = mx + b), where (m) is the slope and (b) is the y-intercept.

Now we substitute the slope [tex]\(-\frac{3}{2}\)[/tex] for (m) and the y-intercept 15 for (b) in the equation (y = mx + b):

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

So, the equation of the line of best fit in slope-intercept form using the points [tex]\((0, 15)\)[/tex] and [tex]\((10, 0)\)[/tex] is:

[tex]\[ y = -\frac{3}{2}x + 15 \][/tex]

This equation represents the line that best fits the given data points.

Question

(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 15 and 0.5, 14 and 1, 13 and 2, 12 and 3, 11 and 4, 9 and 5, 8 and 6, 6 and 7, 4.5 and 8, 2.3 and 9, 2 and 9.8, 0.5 are shown on the graph. A straight line joins the ordered pairs 0, 15 and 10, 0. What is the approximate equation of this line of best fit in slope-intercept form?

Answer:

9/2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 times 8 is 48 and i divided that by 2

Answer:

The answer is 24

Step-by-step explanation:

So simple

1) just Multiply

6 x 8 = 48

then divide by 2

48/2 = 24

Hope this help you!

D.

If you look at the circle the point O is most is obviously in the center .

Answer:

D) Point O is the center.

Step-by-step explanation:

Given : Circle.

To find : Which point represents the center of the circle below.

Solution : We have given Circle.

The center of a circle is the point which is equidistant from all points on the circle.

Point O is equidistant from point R and S and A.

So, Center of the circle is O.

Therefore, D) Point O is the center.

Answer:

h = 12x^5y^3

Step-by-step explanation:

The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.

A = b*h

36x^6 y^5 = 3xy^2 * h

36x^6 y^5 ÷ 3xy^2 = h

12x^5y^3 = h

Answer:

8 days

Step-by-step explanation:

question

how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day

1 st how long before all her apples Finnish

8 days how

count by twos until u reach 16

so x= 8

Final answer:

Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.

Explanation:

Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.

The function describing the remaining apples after x weeks can be constructed as follows:

Start with the total number of apples Abigail has, which is 16.

Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.

Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.

This equation represents the remaining apples as a function of the number of weeks.

Answer: I would say Independent

Step-by-step explanation:

Answer:

k= -89

Step-by-step explanation:

k = 10t - 19 and t = -7

k=10 (-7) - 19

k= -70 - 19

k= -89

Answer:

-89

Step-by-step explanation:

x equals 7,-1 :)))))))))))

Answer:

D

Step-by-step explanation:

given x² - 6x - 7 = 0 ← in standard form

To factor the quadratic

Consider the factors of the constant term ( - 7 ) which sum to give the coefficient of the x- term ( - 6)

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, thus

(x - 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

The solution to the equation is D

Answer:

y = -3, -4

Step-by-step explanation:

Formula is (b/2)^2

So...

(y+7/2)^2 - 1/4 = 0

Add 1/4 to each side

(y+7/2)^2 = 1/4

Square root...

y+7/2 = +-1/2

Add

y = -3, -4

Answer:

15-x

Step-by-step explanation:

x subtracted from 15 - key word is subtracted from

that means flip it when it is written so it is 15-x

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ The algebraic expression for x subtracted from 15 is:

15-x

This is because it says x subtracted from 15, meaning x is taken out of 15.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

176.08952318965774 or 176.1

Step-by-step explanation:

Tan(64) = h/75

Tan(64) * 75

= 176.08952318965774

Answer:

At = 27.225 ft2

Step-by-step explanation:

Hello

The triangle area is:

At = (b*h)/2

At = (9.9*5.5)/2

At = 27.225 ft2

Best regards

Answer:

311

Step-by-step explanation:

Answer:

2 11/12

Step-by-step explanation:

first we need to convert 3/4 and 2/3 to even denominators. I used the number 12.

9/12 + 8/12 = 17/12

1/2 = 6/12

17/12 + 6/12 = 23/12

23/12 = 1 11/12

But we still have 1 from the 1 1/2 so add that

1 + 1 11/12 = 2 11/12

2 11/12

Hope this helps! Please mark as brainliest! Thanks!

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}[/tex]

The distance between (-3, 2) and (5, -6) is [tex]\(8\sqrt{2}\)[/tex] units.

The distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a two-dimensional Cartesian plane can be found using the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

In this case, the points are (-3, 2) and (5, -6). Let's plug in these values into the formula:

[tex]\[ d = \sqrt{(5 - (-3))^2 + ((-6) - 2)^2} \][/tex]

Simplify the expression inside the square root:

[tex]\begin{aligned}& d=\sqrt{(5+3)^2+(-8)^2} \\& d=\sqrt{8^2+64} \\& d=\sqrt{64+64} \\& d=\sqrt{128} \\& d=8 \sqrt{2}\end{aligned}[/tex]

Without the line plot data for Josh's basketball game points, we cannot determine how many games he scored more than six points. However, to create a side-by-side stem-and-leaf plot, you separate the tens and ones to form stems and leaves and compare wins and losses.

To answer the question of how many games Josh scored more than six points, you would need to refer to the specific line plot data, which is not provided here. Since we don't have the actual line plot, we cannot accurately determine the number of games in which Josh scored more than six points.

In general, if you have a line plot illustrating the points scored by Josh in his basketball games, you would count the number of times the data points exceed the number six on the plot. That count would represent the number of games he scored more than six points.

For the task of creating a side-by-side stem-and-leaf plot for the wins and losses of a sports team over 42 seasons, you would first separate the tens and the ones to make the stems and leaves. For example, if a team won 10 games in a season and lost 9 games, the stem would be '1' for both, and the leaves would be '0' for wins and '9' for losses. This process would repeat for all 42 seasons, organizing the data side-by-side to easily compare wins and losses.

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Step-by-step explanation:

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Answer:

a negative number makes fractions. a positive one makes bigger number

Step-by-step explanation:

Answer:

The best estimate of the area of the larger figure is [tex]693\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=12\ cm[/tex]

[tex]y=9\ cm[/tex]

substitute

[tex]z=\frac{12}{9}=\frac{4}{3}[/tex] -----> the scale factor

step 2

Find the area of the larger figure

we know that

If two figures are similar, then the ratio of its  areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

so

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]z=\frac{4}{3}[/tex]

[tex]y=390\ cm^{2}[/tex]

substitute and solve for x

[tex](\frac{4}{3})^{2}=\frac{x}{390}[/tex]

[tex](\frac{16}{9})=\frac{x}{390}[/tex]

[tex]x=390*16/9=693.33\ cm^{2}[/tex]

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

Answer:

0.3.

between 20.3 and 20.9

Step-by-step explanation:

ANSWER

k=-9

EXPLANATION

The given function is

[tex]h(x) = {x}^{2} + 3[/tex]

and

[tex]g(x) = {x}^{2} - 6[/tex]

We want to rewrite g(x) in terms of f(x).

[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]

This implies that,

[tex]g(x) = h(x) + - 9[/tex]

When we compare, we realize that

[tex]k = - 9[/tex]

Answer:

A. Hope this helps.

[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies LA=\pi (3)\sqrt{3^2+3^2} \\\\\\ LA=3\pi \sqrt{2(3^2)}\implies \boxed{LA=9\pi \sqrt{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=3 \end{cases}\implies SA=\boxed{9\pi \sqrt{2}}+\pi 3^2 \\\\\\ SA=9\pi \sqrt{2}+9\pi \implies SA\approx 68.26[/tex]

Answer:

200.34 cm²

Step-by-step explanation:

Answer:

13.6 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ← b is the base and h the height

here A = 216.24 and h = 15.9, hence

15.9b = 216.24 ( divide both sides by 15.9 )

b = [tex]\frac{216.24}{15.9}[/tex] = 13.6 cm

Answer:

Step-by-step explanation:

10 x = x - 3     Subtract x from both sides

10x - x = - 3    Combine like terms on the left

9x = - 3           Divide both sides by 9

9x/9 = -3/9

x = - 1/3 or x = - 0.333333

Answer:

[tex]\large\boxed{25^\frac{5}{2}=3,125}[/tex]

Step-by-step explanation:

[tex]a^n\cdot a^m=a^{n+m}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\======================\\\\25^\frac{5}{2}=25^{2\frac{1}{2}}=25^2\cdot25^\frac{1}{2}=625\sqrt[2]{25^1}=625\sqrt{25}=625(5)=3,125[/tex]