(35 points) A student flips the coin and spins the spinner shown. Which correctly shows the probability the coin lands on heads and the spinner lands on blue?


1/8
3/8
3/4
5/4

Answer:

The increasing quickly part is B.

The decreasing quickly part is D

The decreasing slowly part is A.

The constant part is C.

And the increasing slowly part is E.

Step-by-step explanation:

See the attached graph.

Here, the graph represents the viewing trend of a reality show. We have to match each phrase to the section of the graph it describes.

Now, the increasing quickly part is B.

The decreasing quickly part is D

The decreasing slowly part is A.

The constant part is C.

And the increasing slowly part is E. ( Answer )

Answer:

2 : 3 dots up

2.25 : 3 dots up

2.5 : 4 dots up

2.75 : 4 dots up

3 : 2 dots up

3.25: 0 dots up

3.5 : 2 dots up

The dot plot for the considered data is plotted based  on how many times each observation occured (given by frequencies), as plotted in the image attached.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table.
Thus, if its written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 in the horizontal axis.

For this case, we're given the unique observation to frequency table as:

Diameter (cm)          Frequency

2                                       3

2.25                                  3

2.5                                    4

2.75                                  4

3                                       2

3.5                                   2

That means, over the value 2, plot 3 dots (as diameter 2 occured 3 times), and so on, over the value 3.5, plot 2 dots.

The dot plot of the considered data is attached below.

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Answer:

Function 1 has a negative y-intercept, and Function 2 has a positive y-intercept.

Step-by-step explanation:

As shown by the graph, Function 1 has a negative y-intercept.

Function 2 y-intercept:

y = mx + b

y = -0.5x + b

1 = -0.5(2) + b

1 = -1 + b

b = 2

Function 2 has a positve y-intercept.

The number of miles Mr Miller drive was 973 miles.

Step-by-step explanation:

Given,

Miles driven on first week = 568 miles

Miles driven on Tuesday this week = 308 miles

Miles driven on Wednesday this week = 97 miles

Total miles driven = Miles in first week + Miles on Tuesday + Miles on Wednesday

Total miles driven = 568 + 308 + 97 = 973 miles

The number of miles Mr Miller drive was 973 miles.

Keywords: addition

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Answer:q= (2C - fb)/f

Step-by-step explanation:

multiplying both sides by 2 we have,

2C = fb + fq,

subtract both sides by fb

fq = 2C - fb,

dividing both sides by f

q= (2C - fb)/f

Answer:

12x^3 - 4x^2 + 15x -5

Answer:

3 pounds duh

Step-by-step explanation:

Answer: 3 pounds

Step-by-step explanation: 16 oz are in 1 pound and 1 pound times 3 = 3 pounds and 16 times 3 equals 48 and the pack weighs 45 oz therefore 3 pounds is heavier by 3 oz

A. Yes the table represents a proportional relationship

B. The constant of proportionality is 1.2

Step-by-step explanation:

Two quantities are proportional if:

∵ Total wight in pounds ⇒ 12  ,  18  ,  30  ,  60

∵ Number of books ⇒ 10  ,  15  ,  25  ,  50

- Divide each two corresponding data to check if all they give

   the same constant or not

∵ 12 ÷ 10 = 1.2

∵ 18 ÷ 15 = 1.2

∵ 30 ÷ 25 = 1.2

∵ 60 ÷ 50 = 1.2

- That means the total wight is equal to constant times the

   number of books

∴ Total wight = 1.2 Number of books

∴ The total wight and the number of books are in a proportional

    relationship

A. Yes the table represents a proportional relationship

∵ Total wight = 1.2 Number of books

∴ The constant of proportionality = 1.2

B. The constant of proportionality is 1.2

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Answer:

48

Step-by-step explanation:

After 24 hours, Ms. Plumlee makes 288 brownies and Ms. Sed makes 240 brownies.

The mathematics problem involves calculating the total number of brownies made by Ms. Plumlee and Ms. Sed. Ms. Plumlee makes 12 brownies per hour, and Ms. Sed makes 10 brownies per hour. We need to find out the number of brownies each of them makes after 24 hours.

For Ms. Plumlee: 12 brownies per hour x 24 hours = 288 brownies.

For Ms. Sed: 10 brownies per hour x 24 hours = 240 brownies.

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[tex]x< \frac{-10}{7}[/tex]

Solution:

Given inequality is –7x > 10.

To reduce this inequality to solve for x.

⇒ –7x > 10

Multiply by –1 on both sides of the inequality to reverse the expression.

⇒ –7x × (–1) < 10 × (–1)

⇒ 7x < –10

To simplify the expression, divide by 7 on both sides of the expression.

⇒ [tex]\frac{7}{7}x< \frac{-10}{7}[/tex]

⇒[tex]x< \frac{-10}{7}[/tex]

Hence [tex]x< \frac{-10}{7}[/tex].

Answer:

See the explanation.

Step-by-step explanation:

Given function is [tex]6x^2+7x-49[/tex]

We will find its root by factoring.

In any quadratic function of the form [tex]ax^2+bx+c[/tex]

We will two numbers that when multiplied gives [tex]ac[/tex]. And when that two numbers are added it turns to [tex]b[/tex].

So, in [tex]6x^2+7x-49[/tex].

[tex]a=6,\ b=7.\ c=-49[/tex]

And [tex]ac=-294[/tex]

So, we need to find two numbers that when multiplied give [tex]-294[/tex],and when added give [tex]7[/tex].

Now, we can see

[tex]-14\times21=-294\\And\ -14+21=7[/tex]

In this manner, we can rewrite [tex]7x[/tex] as [tex]-14x+21x[/tex].

Answer:

all work is shown and pictured

Final answer:

To find the equation of a line perpendicular to y = -4x + 1 that passes through the point (-7, 1), determine the slope, use the point-slope form, and convert it to slope-intercept form.

Explanation:

To find the equation of a line perpendicular to y = -4x + 1 that passes through the point (-7, 1), we first determine the slope of the perpendicular line. The slope of a line perpendicular to a line with slope m is the negative reciprocal of m. So, the slope is 1/4. Next, we use the point-slope form of a line y - y₁ = m(x - x₁) and plug in the point to find the equation in slope-intercept form, y = mx + b.

Plugging in (-7, 1) and slope 1/4 into the point-slope form, we get y - 1 = (1/4)(x + 7). Simplifying gives us y = (1/4)x + 2. Hence, the equation of the line perpendicular to y = -4x + 1 that passes through the point (-7, 1) is y = (1/4)x + 2.

Answer:

59 in2

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of rectangle plus the area of two triangles

so

Find the area of rectangle

[tex]A_1=LW[/tex]

we have

[tex]L=7\ in\\W=4\ in[/tex]

substitute

[tex]A_1=(7)(4)=28\ in^2[/tex]

Find the area of triangle with height of 6 in

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

we have

[tex]b=7\ in\\h=6\ in[/tex]

substitute

[tex]A_2=\frac{1}{2}(7)(6)=21\ in^2[/tex]

Find the area of triangle with height of 5 in

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

we have

[tex]b=4\ in\\h=5\ in[/tex]

substitute

[tex]A_3=\frac{1}{2}(4)(5)=10\ in^2[/tex]

The total area is

[tex]A=A_1+A_2+A_3=28+21+10=59\ in^2[/tex]

Answer:

The answer is 59 in2

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

7x +4=3x-20

4x=-24

x= -6

The given problem can be translated into the equation 7x + 4 = 3x - 20. By solving this equation, we find out that the number x is -6.

In this mathematical problem, we can define the number we are looking for as x. Based on the problem, we have the equation 7x + 4 = 3x - 20. This equation comes from the problem statement that 'four more than seven times a number is the same as twenty less than three times the number'.

Next, we can solve for x by subtracting 3x from both sides to get 4x + 4 = -20. Then, to isolate x, we subtract 4 from both sides to get 4x = -24. Finally, we divide by 4 on both sides and find that x = -6, which is the solution.

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Answer:

I would predict that 6 marigolds would bloom

Answer:109

Step-by-step explanation:

The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given statement; 8 less than 5 times a number

We know that the 8 is less than 5 times a number So, we first put 8 <.

From the given, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.

Thus, the inequality;

8< 5x

Hence, The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.

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54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s

time taken to reach water surface= distance/speed=54/1.8=30 sec

Answer:

The slope is -3

Step-by-step explanation:

Hello!

Slope is measured by lattice points on the graph, and the formula is Rise/Run.

To calculate the slope of this graph, we must find two points that intersect coordinates. I will choose coordinates (0,2) and (1,-1).

Now to find the rise, we must find the difference in the y coordinates.

To find the run, we must find the difference in the x coordinates.

Now divide:

Answer:

yes, the remainder is 6.

Step-by-step explanation:

the remainder is how many is left over if the divisor doesn't go perfectly into the dividend.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The remainder of the division $35,286 by 7 using long division is 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

$35,286 ÷ 7

Now,

7) 35286 ( 540

  -35      

       286

     -280

            6

7 x 5 = 35

7 x 40 = 280

We see that,

Using long division,

The remainder is 6.

Thus,

The remainder of the division $35,286 by 7 using long division is 6.

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Answer:

The pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]

Step-by-step explanation:

We can see the given pairs have the same ratio.

Let us find the ratio of pair [tex](8,20)[/tex]

So, the common ratio is  [tex]\frac{8}{20}=\frac{2}{5}[/tex]

Now, we will check each pair, Let the missing number be [tex]x[/tex]

Case-I

[tex](x,5)\\\frac{x}{5}=\frac{2}{5}\\ x=2[/tex]   So,the  pair is [tex](2,5)[/tex]

Case-II

[tex](4,x)[/tex]

[tex]\frac{4}{x}=\frac{2}{5}\\\\\frac{4}{x}=\frac{2\times 2}{5\times 2}=\frac{4}{10}\\ x=10[/tex]So, the pair is [tex](4,10)[/tex]

Case-III

[tex](6,x)[/tex]

[tex]\frac{6}{x}=\frac{2}{5}\\\\\frac{6}{x}=\frac{2\times 3}{5\times 3}=\frac{6}{15}\\x=15[/tex]So, the pair is [tex](6,15)[/tex]

Now, the required pairs are [tex](2,5)[/tex], [tex](4,10)[/tex] and [tex](6,15)[/tex]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 7x + 9y = 18 into this form

Add 7x to both sides

9y = 7x + 18 ( divide all terms by 9 )

y = [tex]\frac{7}{9}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{7}{9}[/tex] and y- intercept c = 2

The force exerted on victim is 20 newton

Solution:

An attacker swings a board with a mass of 2 kg toward a victim

The acceleration is 10 [tex]m/s^2[/tex] when the board hits the victim

To find: Force exerted on victim

The force is given by formula:

[tex]F = mass \times acceleration[/tex]

From given,

[tex]mass = 2 \text{ kg }\\\\Acceleration = 10[/tex] [tex]m/s^2[/tex]

Substituting the values in formula,

[tex]Force = 2 \times 10 = 20[/tex]

Thus force exerted on victim is 20 newton

A mass of 2 kg and an acceleration of 10 m/s², the force is calculated to be 20 Newtons.

To determine the force exerted by the board on the victim, we can use Newton's second law of motion, which states:

⇒ Force (F) = Mass (m) x Acceleration (a)

Given that the mass of the board is 2 kg and the acceleration when it hits the victim is 10 m/s², we substitute these values into the equation:

⇒ F = 2 kg x 10 m/s²

⇒ F = 20 N

Thus, the board exerts a force of 20 Newtons on the victim.

Complete question:

An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s² when the board hits the victim. How much force did the board exert on the victim?

Answer:

3

Step-by-step explanation:

3 times 3 is 9

1/3 of 3 is 1

add them to get 10

Answer:

3

Step-by-step explanation:

[tex]3x \times \frac{1}{3} x = 10 \\ \frac{10}{3} x = 10 \\ 10x = 30 \\ x = 3[/tex]

x-wanted number

Answer:

The volume of shipping cube is  [tex]15\frac{5}{8}\ cubic\ feet.[/tex]

Step-by-step explanation:

Given:

The dimensions of a shipping cube of 2 1/2 feet.

Now, to find the volume of shipping cube.

Side of cube = [tex]2\frac{1}{2}\ feet.[/tex]

Side = [tex]\frac{5}{2}\ feet[/tex]

So, to get the volume of cube we put formula:

[tex]Volume=(side)^3[/tex]

[tex]Volume=(\frac{5}{2})^3[/tex]

[tex]Volume=\frac{125}{8}[/tex]

[tex]Volume=15\frac{5}{8} \ cubic\ feet.[/tex]

Therefore, the volume of shipping cube is  [tex]15\frac{5}{8}\ cubic\ feet.[/tex]

Answer:

b

Step-by-step explanation:

The answer is [tex](f+g)(x)=10x-5[/tex]

Step-by-step explanation:

Given that [tex]f(x)=2x+5x[/tex] and [tex]g(x)=3x-5[/tex]

To find : [tex](f+g)(x)[/tex]

Now, assign the value [tex]g(x)=3x-5[/tex] in [tex](f+g)(x)[/tex]

[tex](f+g)(x)=(f+3x-5)[/tex]

Also, assign the value [tex]f(x)=2x+5x[/tex] in [tex](f+g)(x)[/tex]

[tex](f+g)(x)=(2x+5x+3x-5)[/tex]

Now, adding the like terms , we get,

[tex](f+g)(x)=10x-5[/tex]

Thus, the value of [tex](f+g)(x)[/tex] is [tex](f+g)(x)=10x-5[/tex]

Answer:

[tex]10x-5[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5x[/tex]

[tex]g(x)=3x-5[/tex]

[tex](f+g)(x)[/tex]

[tex]f(x)+g(x)[/tex]

[tex]2x+5x+3x-5[/tex]

[tex]10x-5[/tex]

The total cost to rent the Kayak will be $50.50

Step-by-step explanation:

Let h be the number of hours

Given

Charges per hour = $8.50

Renting Charges = $25.00

The renting charges are constant and will be used only once while the per hour charges will be calculated as number of hours change.

The function will be written as:

[tex]f(h) = 8.50h +25.00[/tex]

Here h is the number of hours.

From 11:30 AM to 02:30 PM makes three hours. So, to find the cost for 3 hours we have to put h = 3

[tex]f(h) = 8.5(3) + 25.00\\= 25.5+25.00\\= 50.5[/tex]

Hence,

The total cost to rent the Kayak will be $50.50

Keywords: Linear functions,, slope

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Answer:

Vertical lines

Step-by-step explanation:

Linear relations are not functions when they appear graphically are vertical lines.

" Function is defined as  when the relation between variables are such that each input has one and only one output."

According to the question,

Linear relation are defined as y = ax + b

A. Horizontal lines  is expressed by equation y = 0x + b

For each x = 0 , 1, 2, 3, .... value of y = b. For each input single output 'b' is defined.

Horizontal lines represent the function.

B. Linear relation represents straight line .

For example y = 2x +3

For each x we have single output y.

Therefore linear relation represents function.

C. Vertical lines x = k , here for x=k there are many outputs y = 0,1, 2, 3....

Vertical line does not represent function.

Hence, linear relations are not functions when they appear graphically are vertical lines.

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Answer:

4 7/12

Step-by-step explanation:

3 19/12 = 3 + 19/12 = 3 + 12/12 + 7/12 = 3 + 1 + 7/12 = 4 7/12

Answer:

.

Step-by-step explanation: