15 points to help me out.

The slope intercept form of equation of the line is  y = 4x - 2

The slope intercept form of equation of the line that includes the point (3,10) has a slope of 4. is  y = 4x - 2

This is an equation of the form y = mx + c, where:

the coefficient of x is the slope

c is the intercept

To calculate the equation of the line that include point  (3,10) has a slope of 4 we solve as follows

( y - y' ) / ( x - x' ) = 4

( y - y' )  = ( x - x' ) = 4

where y' = 10, and x' = 3

y - 10 = (x - 3 ) * 4

y - 10 = 4x - 12

y = 4x - 12 + 10

y = 4x - 2

The slope intercept form of equation of the line is  y = 4x - 2

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When a person is 3 feet from a street light, the length of the shadow grows at a rate of 4 feet per second.

See the figure that illustrates the in question statement, attached.

making use of the related triangle theorem;

4/y = 12/x+y

Cross multiply

4(x+y)=12y

4x+4y = 12y

4x=8y

x/y =2

x=2y

Divide the two sides of the equation by t, where dx/dt = 2 dy/dt. The speed at which the person is walking away from the street light is expressed as dx/dt 

The growth rate of the shadow's length is measured by the ratio dy/dt.

Given that dx/dt = 8ft/s

by solving,

dy/dt = 4 ft/s

Hence the rate at which the length of the shadow growing when the person is 3 feet from the street light is 4ft/s

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The interval is from 0.9330 to 0.9350

For given condition;

mean = 0.9340

standard deviation = 0.0030

z-score at 98% = 2.33

n = size of sample = 47

Step 1: calculate the standard error of the mean

standard error of mean  =  z-score * standard deviation/sqrt(n)

                                        =  2.33 * 0.0030/[tex]\sqrt{47}[/tex]

                                        = 0.0010

step 2: upper limit  =  mean + standard error

                                =  0.9340 + 0.0010

                                = 0.9350

           lower limit  =  mean - standard error

                              =  0.9340 - 0.0010

                              = 0.9330

Hence, the interval is from 0.9330 to 0.9350

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The value of question are 65+[tex]\underline{115}[/tex]=180, [tex]11x+\underline{48}=180^o[/tex], [tex]11x=\underline{132}[/tex] and [tex]x=\underline{12}[/tex].

In the given question we have to find the value of missing term.

(1) 65+......=180

(2) 11x+.......=180

(3) 11x=.........

(4) x=........

To solve this question we have to use some theorem.

Firstly solving the first question.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So from the diagram

[tex]65+z=180^o[/tex]

Subtract 65 on both side

[tex]65+z-65=180^o-65[/tex]

[tex]z=115[/tex]

Hence, 65+[tex]\underline{115}[/tex]=180.

Now finding the value of second question.

Using Alternate Exterior Angles Theorem

According to theorem the angle beside 11x - 17 is 65.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So  11x-17+65=180[tex]^o.[/tex]

Simplifying

So [tex]11x+\underline{48}=180^o[/tex]

Now finding the value of third question.

From the second question answer we get [tex]11x+{48}=180^o[/tex]

Now solving this equation to find the value of 11x

Subtract 48 on both side

[tex]11x+{48}-48=180^o-48[/tex]

[tex]11x=132[/tex]

Hence, [tex]11x=\underline{132}[/tex]

Now solving the fourth question.

To find the value of fourth question we further simplify the answer of third question.

[tex]11x=132[/tex]

Divide by 11 on both side

[tex]\frac{11}{11}x=\frac{132}{11}[/tex]

[tex]x=12[/tex]

Hence, [tex]x=\underline{12}[/tex]

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Answer:

The area is 196π, or 615.752160 when evaluated to 6 decimal places.

Step-by-step explanation:

There is an equation for the area of a circle:

A=π[tex]r^{2}[/tex], Where A is the area and r is the radius. π is π, it is its own number. Plugging in the radius stated we can evaluate:

A=π([tex]14^{2}[/tex])

A=196π

If we write out π and evaluate with an (un)reasonable amount of decimal places:

π≅3.1415926536

A=196×(3.1415926536)

A≅615.752160

Answer:

A = [tex]\pi ^{2}[/tex]

Step-by-step explanation:

A≈615.75

Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend.

According to the question,

We have the following information:

Devon has $15.

Cost of 1 candy bar = $1

Cost of 1 sports drink = $3

Devon wants to purchase at most 10 items.

It means that the total items should be less than or equal to 10.

Now, we have to spend $15 in such a way that number of items should be less than or equal to 10.

Now, we will look for the number of items for sports drink and change the number of candy bars accordingly.

Let's take 1 sports drink:

$3

We are left with $12. Now, there will be 12 candy bars.

So, this can not satisfy our conditions.

Let's take 2 sports drink:

$6

We are left $9. Now, there will be 9 candy bars. And the number of items is 11.

(This is not satisfying our condition.)

Let's take 3 sports drink:

$9

We are left with $6. Now, there will be 6 candy bars. And the number of items is 9.

This is satisfying all the conditions.

Hence, Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend on snacks.

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Variable used to write the equation are x,  Number of pennies and y, Number of nickels and the system of equations used is x+y=0.81 and  x+9=y.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Let the variables defined to form the system of equation are as follows:

x= Number of pennies

y= Number of nickels

Total worth of  pennies and nickels is 0.81

mathematically, x+y=0.81

Given condition,  she has 9 more nickels than pennies

mathematically, x+9=y

So, the system of equation which can be used to determine the number of pennies and the number of nickels that Kennedy has are x+y=0.81 and  x+9=y, where variables used are x and y.

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Box plots present the shape of the distribution (density curve), Box plots can involve a categorical variable and a continuous numerical variable, Box plots show where the peak of the distribution is are the correct statement.

Instead of showing the raw data points, Box Plots takes the sample data and then present the ranges of values based on the quartiles and also display the asterisks for outliers that generally falls outside the whiskers.

Yes, the shape of distribution can be understood from a Box Plot. It can show whether a statistical data set is normally distributed or skewed.

A Box plot is a graph of the distribution that has Continuous variables. It is also applicable for Categorical variables.

Box Plot generally shows the below parameters: Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.

A size can be determined by using these parameters but is not directly seen in a Box Plot

Generally a Standard Deviation is not visualized by Box Plot. It mainly visualizes Maximum, Minimum, Median, 75th Percentile, 25th Percentile and Interquartile Range.

Yes, the peak of the distribution can be analyzed from Box Plot

Generally for Normal Distribution, Mean = Median and this is the point where the peak is seen.

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The sequence is given by the following formula:

Finally, the answers are 41 and 49.

Since the expression 5p represents the total price of buying 5 movie tickets, divide the expression 5p by 5 to find the price of a single ticket:

Then, the price of a ticket is p.

Therefore, the variable p represents the ticket price, while the number 5 represents the number of tickets.

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent then corresponding angles are congruent, then

∠ C = ∠ D , that is

x + 18 = 132 ( subtract 18 from both sides )

x = 114

Answer:

- 48.00

Step-by-step explanation:

Add all the debt up.

Answer: -48

Step-by-Step Explanation:

Money that Chad owes his Sister = $15

Money that Chad owes his Brother = $9

Money that Chad owes his Friend = $24

Total Money he owes = 15 + 9 + 24 = $48

Hence, Total Money he has = -48 (since he doesn't have any money)

Answer:

A function is a relation where each input value is assigned to only one output value. The domain of a function is the set of all input values, or x-values, for which the function is defined. The range of a function is the set of all output values, or y-values, for which the function is defined. To write the equation y = ax + b in function notation, substitute f(x) for y.

Step-by-step explanation:

Brainlest, Please!

180°

Answer: Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04in²

Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04 in²

Radius (r) 0.999493 in

Diameter 1.998986 in

Circumference (c) 6.28 in

Area 3.13841 in²

Radius (r) 8.49569 in

Diameter 16.99138 in

Circumference (c) 53.38 in

Area 226.75 in²

Radius (r) 2.5 cm

Diameter 5 cm

Circumference (c) 15.70796 cm

Area 19.63495 cm²

Radius (r) 1.1 yd

Diameter 2.2 yd

Circumference (c) 6.9115 yd

Area 3.80133 yd²

Radius (r) 2 in

Diameter 4 in

Circumference (c) 12.56637 in

Area 12.56637 in²

Step-by-step explanation: I hope this helps.

Answer:

x = 30°

Step-by-step explanation:

The angles of a pentagon add up to 540°

Make an equation adding up the angles to equal 540°

x + 4x + 4x + 135° + 135° = 540°

Simplify

9x = 270°

Divide

x = 30°

Answer:

Tip- $5.16

Total cost- $33.86

Step-by-step explanation:

To find a 18% tip, turn 18% into 0.18.

Multiply 28.67 by 0.18.

28.67x0.18=

5.16

If you add that to the bill, it would be 33.86

The room numbers of two adjacent classrooms are 359 and 361.

What is consecutive odd numbers?

Consecutive odd numbers are odd integers that are separated by 2 and come after one another.

Suppose the first odd number is x, then the another consecutive odd number is x + 2.

The sum of these two numbers is 720.

So,

x + (x + 2) = 720

2x + 2 = 720

2x = 718

x = 359

Therefore, the first odd number is 359 and the second add number is 361 which gives the sum 720.

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When the pile is 22 feet high, the height of the pile changes to 20/1089π.

Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?

The volume of cone is V = 1/3 * pi * r ^ 2 * h

d=3h

2r = 3h

r = (3h)/2

V = 1/3 * pi * r ^ 2 * h

= 1/3 * pi * ((3h)/2) ^ 2 * h

= 1/3 * pi((9 * H ^ 2 )/4) * h

= (9pi)/12 * h ^ 3

Differentiate w.r.to t

(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)

(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)

(dV)/(dt)=20, h=22 feet

20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)

(dh)/(dt) = 80/ (9pi * (22^ 2))

h^ t = 20/ 1089 *pi   ft / min

Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π

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Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour then Karen working alone will paint a house in 3 hours.

Since Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour.

Karen can even paint 1/x in 1 hour

Both of them will paint the house in 3/2 hours.

We then add them together which gives:

1/6 + 1/x = 3/2x

The lowest common multiple is 6x

1x/6x + 6/6x = 9/6x

We then leave out the denominators

1x + 6 = 9

simplifying the above equation, we get

x = 9 - 6

x = 3

Therefore, the value of x = 3.

Karen working alone will paint a house in 3 hours.

The complete question is:

Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 14 h to paint a house alone. Betty takes 6 h to paint a house alone.

Required:

How long does it take Karen to paint a house working alone?

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Step 1

The measures of variance include;

Step 2

For a bar chart, we have that;

Answer:

10:12

Step-by-step explanation:

15-5=10

24-12=12

og ratio is 15:24

new ratio is 10:12

The height is the sum of 39 and 9 times the number of boxes, n. The rule is 9n + 39.

An algebraic expression is defined as the type of expression that is made up of a variable, a coefficient and a constant.

From the given box of nails,

The height of 2 boxes of nails = (9× 2) + 39 = 57 In

The height of 3 boxes of nails = ( 9 × 3) + 39 = 66 In

The height of 4 boxes of nails = ( 9× 4) + 39 = 75 ln

That is to say that the height of the box above the floor can be calculated by the sum of 39 and 9 times the number of boxes, n.

Therefore, the rule of heights is 9n + 39 where n is the number of boxes present.

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Linear pair angles are the ones that form a straight line, in other words they will form a 180º angle. Therefore if the angle 2 measures 44 degrees we can find the angle 1 by doing as follows:

The angle one is equal to 128 degrees.

Answer:

3.16

Step-by-step explanation:

Answer:

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

Segment EF with:

Use midpoint equation:

Find unknown coordinates of the point F:

So the point is F = ( - 22, 4)

Answer:

F = (-22, 4)

Step-by-step explanation:

Midpoint between two points

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\\\\ \textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.}[/tex]

Given information:

Define the endpoints of the line segment EF:

Substitute the given information into the formula:

[tex]\implies (x_M,y_M)=\left(\dfrac{x_F+x_E}{2},\dfrac{y_F+y_E}{2}\right)[/tex]

[tex]\implies (-6,-2)=\left(\dfrac{x_F+10}{2},\dfrac{y_F-8}{2}\right)[/tex]

Find the x-coordinate of M:

[tex]\implies \dfrac{x_F+10}{2}=-6[/tex]

[tex]\implies x_F+10=-12[/tex]

[tex]\implies x_F=-22[/tex]

Find the y-coordinate of M:

[tex]\implies \dfrac{y_F-8}{2}=-2[/tex]

[tex]\implies y_F-8=-4[/tex]

[tex]\implies y_F=4[/tex]

Therefore, the coordinates of endpoint F are (-22, 4).

Answer:

x = 1

Step-by-step explanation:

Horizontal asymptotes are the y-values for which a particular function is undefined;

Finding the horizontal asymptote for linear reciprocal function is quite simple;

For this kind of function, where there is no x term in the numerator, the horizontal asymptote is just equivalent to the constant added to the fraction (note: having no added constant is the same as having an added 0);

so:

f(x) = 1/(x - 1) = (1/( - 1 )) + 0

The horizontal asymptote is y = 0 for this function.

If it was F(x) = (1/(x - 1)) + 1, the horizontal asymptote would be  y = 1

hope it help!! :)

Answer:

The answer is C

Step-by-step explanation:

If you substitute every x value for 5, you know that every equation can have 5 as an answer but C.

A. 3x+2=4x-3

Isolate the x(s) and combine like terms

3x+2-2=4x-3-2

3x=4x-5

3x-4x=4x-4x-5

-x=-5

-x(-1)=-5(-1)

x=5

Therefore A is a solution

B. (x+2)(x-5)=0

Substitution--Substitute every x for a 5

(7)(0)=0

anything multiplied by 0 will be 0

B. Is a solution because it is true.

C. 4x+2=15

Isolating the x(s) and combine like terms

4x+2-2=15-2

4x=13

4x÷4=13÷4

x=3.25

C is not a solution because x should equal to 5 but in this equation x can only be equal to 3.25. C is wrong.

We know our answer so we don't have to keep solving the rest of the equations.

But I'll just do D

D. 3x-10=x

Isolate the x(s) and combine like terms

3x-x-10=x-x

2x-10=0

2x=10

2x÷2=10÷2

x=5

D is a solution.

Answer:

5/42 or 0.1190

hope this helps :)

An integer number is a number that can be written without using a rational component. In other words, if a number can be written without using a fraction, then that number is considered an integer.

For example, let's take the first number:

This number is written as a fraction. But, this is also equivalent to:

Since it can also be written without making use of a fraction then this number is an integer.

Also, there are numbers that are written in decimal form. For example:

These types of numbers are not integers.