The data show the traveler spending in billions of dollars for a recent year for a sample of the states. find the range, variance, standard deviation for the data. 20.1, 33.5,21.7,58.4,23.2,110.8,30.9,24.0,74.8,60.0

Answers

Answer 1
The range of the values is 90.7The variance of the values is 802.71The standard deviation of the values is 8.96

What is the standard deviation?

We know that the measures of dispersion tend to see how numbers are scattered around the mean. In this case, we are asked to find three of the measures of dispersion which are; range, variance and standard deviation.

We first have to arrange the data in the proper order as follows;

20.1, 21.7, 23.2, 24.0, 30.9, 33.5, 58.4, 60.0, 74.8, 110.8

It is now easier for us to find the range of the data set as the difference between the largest and the smallest value; 110.8 – 20.1 = 90.7

The mean of the dataset is = 20.1 +  21.7+  23.2 + 24.0 + 30.9 + 33.5 + 58.4 + 60.0 + 74.8 + 110.8/10

= 45.74

Now;

Variance = (20.1 - 45.74)^2 + (21.7 - 45.74)^2 + (23.2 - 45.74)^2 + (24.0 - 45.74)^2 + (30.9 - 45.74)^2 + (33.5 - 45.74)^2 + (58.4 - 45.74)^2 + (60.0 - 45.74)^2 + (74.8 - 45.74)^2 + (110.8 - 45.74)^2/10

= 657.4 + 577.9 + 508.1 + 472.6 + 220.2 +149.8 + 160.3 + 203.3 + 844.5 + 4233/10

= 802.71

Standard deviation = √variance = √802.71

= 8.96

Learn more about standard deviation:https://brainly.com/question/13905583

#SPJ1


Related Questions

Please estimate 11% of 17.

Answers

Answer:

1.87

Step-by-step explanation:

The first step in this problem is to get rid of the percent by making it a number. The way you do this is divide by 100.

11%/100=0.11

The "of" after 11% means multiply, so you multiply 0.11 and 17

0.11*17=1.87

14. Evaluate the expression
17 ÷ (6.5-1-21)-(-5)² - 53
4 12

Answers

Answer: 53412

Step-by-step explanation:

17

6.5−1−21

−(−5)2−


Simplify each expression.
(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Answers

The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃  using the exponent rules is -3

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃

(-3)³/₃

(-3)¹

-3

What is an exponent?

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

??? need this answer asap :,)

Answers

Answer:

[tex]\frac{1}{8b^6 a^12}[/tex]

Step-by-step explanation:

Hope this helps you :))

what is the correct set of ordered pairs

Answers

Answer: B

Y= 5/3x +2

Replace x with the domain options. It’s easy to start with 0, so 2= 5/3(0)+2. The ordered pair would be (0,2) Therefore, based on your answer choices you don’t need to work further because the answer seems to be B. Hope this helps.

if DM= 25 what is the value of r

Answers

A. 12 (12+2+2(12) - 13 = 25)

Please help no links tho
Michael is 10 years younger than Wanda. Linda is 5 years older than Wanda. The sum of
all their ages is 31 years. Which equation represents the sum of their ages in terms of
Wanda's age (w)?
A.
2w+15=31
B.
3w+15=31
C.
2w-5=31
D.
6
3w-5=31

Answers

Answer is D. 3w-5=31

Step by step

We know Wanda is w
We know Michael is w-10
We know Linda is w + 5
We know they equal 31

Put this into an equation

w + w - 10 + w + 5 = 31

Combine terms

3w -5 = 31 is the equation

If you wanted to solve it, 3w = 36, w= 12

Substitute w value of 12 into equation

(3)(12) -5 = 31

31 = 31

So they equal proving you are right
You can check your work with ages too

Wanda = 12
Michael is 12- 10 = 2
Linda is 12 + 5 = 17

Add together 12 + 2 + 17 = 31
All their ages = 31

Problem solved!


Solve using the Quadratic Formula. 3 x²+9 x=27

Answers

The correct answer of the question is 3{-1+√5}/ 2 or 3{-1-√5}/ 2 .

The given quadratic equation is 3 x²+ 9 x=27

To begin, we must transform the equation in the form

ax² + bx + c = 0, then apply the quadratic formula i.e.

x = {-b±√(b²- 4ac)}/ 2a .

Now,

3 x²+ 9 x=27

⇒ 3 x²+ 9 x - 27 = 0

⇒  3(x²+ 3 x - 9 )= 0

⇒  x²+ 3 x - 9 = 0

Here, a = 1, b = 3 and c = --9

Now, applying quadratic formula

{-b±√(b²- 4ac)}/ 2a

= {-3±√(3²- 4 × 1 × -9)}/ (2 × 1)

= {-3±√(9 + 36)}/ 2

= {-3±√45}/ 2

= {-3±3√5}/ 2

= 3{-1 ±√5}/ 2

= 3{-1+√5}/ 2 or 3{-1-√5}/ 2

Therefore, the ultimate answer to the given equation is 3{-1+√5}/ 2 or 3{-1-√5}/ 2 .

Learn more about Quadratic formula here- brainly.com/question/1214333 "

#SPJ4

FIRST PERSON TO ANSWER BRAINLIEST!!

Quadrilateral ABCD is rotated 90 degrees CCW about the origin THEN reflected across the x - axis.
What will be coordinate of C''? (no spaces in answer, use parentheses)

Answers

Answer:   (-6, -5)

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

Explanation:

CCW = counter-clockwise

The rule for a 90 degree CCW rotation is this

[tex](\text{x}, \text{y})\to(-\text{y}, \text{x})[/tex]

it only works if the center of rotation is the origin.

The x and y coordinates swap places. Then you change the sign of the first coordinate after the swap occurred.

Applying that rotation rule to point C(5, 6) gets us to C ' (-6, 5).

Then to reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. The notation would be [tex](\text{x}, \text{y})\to(\text{x}, -\text{y})[/tex]

So we go from C ' (-6, 5) to C '' (-6, -5)

A rectangle has a perimeter of 64 cm. If the length is 6cm more than the width of the rectangle,
what are the dimensions of the rectangle? SHOW ALL work

Answers

Answer:

the length is 19

the width is 13

Step-by-step explanation:

well since a rectangle has two even sides the width have to be the same and the lengths have to be the same

perimeter is all the sides added together

since the length is the bigger size choose a sensible number (for example 15) and add another 15 to get the length and since it's 6cm smaller take 6 away from 15 which is 9 and add the two 9s together but 15+15+9+9 isn't 64 so you try again with a higher number until you each a total of 64

[tex]\huge\mathcal{\fcolorbox{aqua}{azure}{\red{Answer:-}}}[/tex]

To solve this problem, let's denote the width of the rectangle as $w$ (in cm).

According to the given information, the length of the rectangle is 6 cm more than the width, so the length can be represented as $w + 6$ (in cm).

The perimeter of a rectangle is given by the formula:

$$\text{{Perimeter}} = 2(\text{{length}} + \text{{width}})$$

Substituting the values, we have:

$64 = 2((w + 6) + w)$

Now, let's solve for $(w)$:

$64 = 2(2w + 6)$

$64 = 4w + 12$

$4w = 64 - 12$

$4w = 52$

Dividing both sides of the equation by 4, we get:

$w = \frac{{52}}{{4}}$

$w = 13$

So, the width of the rectangle is 13 cm.

Substituting the value of $w$ back into the expression for the length:

$$\text{{Length}} = w + 6 = 13 + 6 = 19$$

Therefore, the dimensions of the rectangle are 13 cm (width) and 19 cm (length).

The price of gasoline is currently $3.11, this is a 14% increase from a year ago. What was the price of gas a year ago.

Answers

Answer:

2.97%

Step-by-step explanation:

Answer:

2.72807     (aprox)

Step-by-step explanation:

14% = 14/100 = 0.14

100% = 100/100 = 1

It was a increase

then 14% = 100% + 14% = 1 + 0.14 = 1.14

3.11 / 1.14 = 2.72807    (aprox)

Check:

2,72807 + (2.72807*0.14) = 2.72807 + 0.38193 = 3.11

30 x 1/3=1 What is the property of this equation.

Answers

Answer:

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

Step-by-step explanation:

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

Multiply both sides by 3

[tex]\frac{3\cdot \:30x^1}{3}=1\cdot \:3[/tex]

Simplify

[tex]30x=3[/tex]

divide both sides by 30

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

Simplify

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

A publisher sells 106 copies of a new book. Each book has 102 pages. How many pages total are there in all of the books sold?

Write the answer using exponents.

Answers

Answer:

10812

Step-by-step explanation:

books sold=106

number of pages=102

106 × 102=10812

Answer:

106^102

Step-by-step explanation:

Because there are 106 copies of the book and each book has 102 pages


Solve each equation.
log 5 x+3=3.7

Answers

After solving the given inequality the answer is x = 0.7/5log.

When we talk about inequality, what do we really mean?Inequality is a relationship in mathematics that results from a non-equal comparison of two numbers or other mathematical expressions.On a number line, it is most commonly used to compare the sizes of two numbers.

So,

Given: log5x+3 = 3.7

Then,

Log·5x+3 = 3.75logx+3 = 3.7(5logx+3)+(-3) = 3.7 + (-3)x = 0.7/5log

Therefore, after solving the given inequality the answer is x = 0.7/5log.

Know more about inequality here:

brainly.com/question/24372553

#SPJ4

7.) The height of a triangle is twice its base. The total area is 49 ft². Find the triangle's dimensions. Be sure to define
a variable, and write an equation.

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

now we also know that

the height in that triangle is twice its baseline.

so,

height = 2×baseline

so, for the given area we have

49 = baseline × 2 × baseline / 2 = baseline²

baseline = 7 ft.

therefore,

height = 2×baseline = 2×7 = 14 ft.

and now we run into a problem. as we don't have any further information about the triangle, the lengths of the sides cannot be determined.

the reason is that the height can be placed anywhere on the baseline (from the left end point all the way over to the right end point). all these triangles created by the moving height have the same area (49 ft²), but different lengths of the legs.

the lengths of the legs are calculated via Pythagoras, because the height splits the main triangle into 2 smaller right-angled triangles.

so, if I assume e.g. an isoceles triangle (both legs are equally long), then I know that the height splits the triangle into 2 equal triangles and the baseline in half.

then I can calculate :

leg² = (baseline/2)² + height² = 3.5² + 14² =

= 12.25 + 196 = 208.25

(each) leg = 14.43086969... ft

if I assume the height is at an endpoint of the baseline then the whole triangle is by itself a right-angled triangle.

and the height is one leg and the other leg is again via Pythagoras

leg² = baseline² + height² = 7² + 14² = 49 + 196 = 245

leg = 15.65247584... ft

all the possible solutions for the leg lengths are between 14 ft (the height) and 15.65247584... ft.

Hi! i have this question thats on my homework, and its due tomorrow. im no sure if its correct, can you double check for me? if you earn a manager point every 30 minutes, how many minutes would you need to work for 50 manager points?

Answers

If you earn a manager point every 30 minutes, then the number of minutes you would need to work for 50 manager points is equal to 1500.

The number of minutes needed to work for 50 manager points can be calculated using multiplication. Multiplication is one of the arithmetic parts and is thought to be the opposite of division. It represents the basic idea of the repeated addition of groups of equal sizes.

As,

one manager point = 30 minutes

50 manager points = x

Here x represents the number of minutes required to earn 50 manager points

Cross multiplying,

30 × 50 = x

x = 1500

Hence the number of minutes required to earn 50 manager points if a manager point is earned every 30 minutes is calculated to be 1500 minutes.

To learn more about multiplication, click here:

https://brainly.com/question/1135170

#SPJ4

3x+2y−z=82x+2z=−4x+3y=4



Enter your answer, in the form (x,y,z), in the boxes in simplest terms.

Answers

Answer: (1/14, 10/7, -13/14)

Step-by-step explanation:

3x+2y−z=82x+2z=−4x+3y=4 ==> convert this to system of equations

3x+2y−z=4

82x+2z=4

−4x+3y=4

(3x+2y−z=4)*2

6x+4y−2z=8 ==> add this equation

82x+2z=4 ==> add this equation

88x+4y=12 ==> add the top 2 equations

(−4x+3y=4)*4

-16x+12y=16

(88x+4y=12)*3   ==> multiply by 3 to get 12y

264x+12y=36

-16x+12y=16

264x-(-16x)=36-16

264x+16x=20

280x=20

280x/280=20/280

x=1/14

−4x+3y=4

−4(1/14)+3y=4

-4/14 + 3y=4

-2/7 + 3y=4

(-2/7 + 3y=4)*7 ==> multiply equation by 7 to remove fractions

-2+21y=28

21y=30

y=30/21

y=10/7

3x+2y−z=4

3(1/14)+2(10/7)−z=4

3/14 + 20/7 - z=4

(3/14 + 20/7 - z=4)*14 ==> multiply equation by 14 to remove fractions

3 + 20*14/7 - 14z=56

3 + 280/7 - 14z=56

3+40-14z=56

43-14z=56

43-43-14z=56-43

-14z=13

z=-13/14

Answer: (1/14, 10/7, -13/14)

A theater holds a total of 2,013 chairs. 197 chairs are in the VIP section. How many chairs are not in the
VIP section?

Answers

Answer:1,816

2,013 minus 197 equals 1,816

What does |-5| + |7| equal?

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

|-5|+|7|

|-5|=5

|7|=7

=5+7

=12

hope this helps u ; )

Someone pleaseeeeee help me :

What measurement is represented on the x-axis and what unit is it measured in?

Answers

Answer:

It looks like the chart says time and hours.

Step-by-step explanation:

Using the axis title we found that the time is the measurement represented on the x- axis  and and time is measured in hours

What is Axis Title in a graph?

The axis title is a title in the form of words or numbers that describes the  entire axis . The title that describes that what quantity varies along x-axis is called x-axis title and the title which describes what quantity varies along y- axis is called y- axis title.

Some times units of the quantities measured along the respective axis  is also mentioned in the title of the axis in a bracket.

From the Given graph in the question we can see that a Distance vs Time graph is given

And the title of the x- axis is Time (hours )

Therefore , the measurement along the x- axis is of time and unit of time is hours.

Also, Learn more about graphs from the link below:

https://brainly.com/question/13298277

#SPJ5

Which statements are true regarding the area of circles and sectors? Check all that apply.

A. The area of a circle depends on the length of the radius.
B. The area of a sector depends on the ratio of the central angle to the entire circle.
C. The area of a sector depends on pi.
D. The area of the entire circle can be used to find the area of a sector.
E. The area of a sector can be used to find the area of a circle.

ANSWER IS A, B, D, E

Answers

The statements are true regarding the area of circles and sectors are:

1). The area of a sector depends on the ratio of the central angle to the entire circle.

2) The area of the entire circle can be used to find the area of a sector.

3)The area of a sector can be used to find the area of a circle.

Option (B) ,(D) and (E) is correct.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

The statements are true regarding the area of circles and sectors.

According to given question we have

WE know that

Area of a circle= π[tex]r^{2}[/tex]

So, area is dependent only on the radius.

The area of a sector depends on the ratio of the central angle to the entire circle is   1: 5.

The area of the sector of a circle is /360° *([tex]r^{2}[/tex]) where r is the radius of the circle and is the angle of the sector,.

Therefore, statements are true regarding the area of circles and sectors are:

1). The area of a sector depends on the ratio of the central angle to the entire circle.

2) The area of the entire circle can be used to find the area of a sector.

3)The area of a sector can be used to find the area of a circle.

Learn more details about circle here:

https://brainly.com/question/11833983

#SPJ1

Qwhat is the value of 2x^2-10x+13

Answers

The value of the quadratic equation 2x^2 - 10x + 13 when x = 2 is 1

What are quadratic equations?

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to determine the value of the quadratic equation?

The quadratic equation is given as

2x^2 - 10x + 13

When the value of x is 2, the quadratic equation becomes

2x^2 - 10x + 13 = 2 x 2^2 - 10 x 2 + 13

Evaluate the exponent

So, we have

2x^2 - 10x + 13 = 2 x 4 - 10 x 2 + 13

Evaluate the product

So, we have

2x^2 - 10x + 13 = 8 - 20 + 13

Evaluate the difference

So, we have

2x^2 - 10x + 13 = -12 + 13

Evaluate the sum

So, we have

2x^2 - 10x + 13 = 1

Hence, the value of the quadratic equation 2x^2 - 10x + 13 when x = 2 is 1

Read more about quadratic equation at

https://brainly.com/question/1214333

#SPJ1

Complete question

What is the value of 2x^2-10x+13 when x = 2

What are the slope of the two lines?

Answers

Answer:

AB has the slope of 4/3

CD has the slope of 3/2

Step-by-step explanation:

CD I chose the points (0,2) and (3,0)

[tex] \frac{y2 - y1}{x2 - x1} \\ \frac{0 - 2}{3 - 0} \\ m = \frac{ - 2}{3} [/tex]

AB I chose the points (0,6) and (8,0)

[tex] \frac{y2 - y1}{x2 - x1} \\ \frac{0 - 6}{8 - 0} \\ m = \frac{ - 3}{4} [/tex]

please answer the questions listed below in the SS

Answers

The answer to the following listed algebra questions are below:

6 = a/4 + 2

substract 2 from both sides

6 - 2 = a/4

4 = a/4

cross product

4 × 4 = a

a = 16

-6 + x/4 = -5

x/4 = -5 + 6

x/4 = 1

x = 4 × 1

x = 4

9x - 7 = -7

Add 7 to both sides

9x = -7 + 7

9x = 0

x = 0/9

0 = 4 + n/5

0 - 4 = n/5

-4 = n/5

-4 × 5 = n

-20 = n

-4 = r/20 - 5

-4 + 5 = r/20

1 = r/20

1 × 20 = r

r = 20

How to solve algebraic expression

-1 = (5+x) / 6

-1 × 6 = (5 + x)

-6 = 5 + x

-6 - 5 = x

x = -11

(v+9)/3 = 8

v + 9 = 8 × 3

v +9 = 24

v = 24 - 9

v = 15

2(n + 5) = -2

2n + 10 = -2

2n = -2 - 10

2n = -12

n = -12/2

n = -6

-9x + 1 = -80

-9x = -80 - 1

-9x = -81

x = -81/-9

x = 9

-6 = n/2 - 10

-6 + 10 = n/2

4 = n/2

4 × 2 = n

n = 8

-2 = 2 + v/4

-2 - 2 = v/4

-4 = v/4

-4 × 4 = v

-16 = v

144 = -12(x + 5)

144 = -12x - 60

144 + 60 = -12x

204 = -12x

x = 204 / -12

x = 17

Read more about Algebra:

https://brainly.com/question/4344214

#SPJ1

Need help now pleaseeeeeeeee
What is the probability that a boy selected at random is a Junior?

P( Answer

J | B


)= Answer


Please begging of some help to finish this due today

What is the probability of randomly choosing a student who is a Junior and a boy?

P(J Answer




B)= Answer

Answers

The probability that a boy selected at random is a Junior is 0.23 and the probability of randomly choosing a student who is a Junior and a boy is 0.14

What is probability?

The probability of an event is the chance or the likelihood that the event would occur.

Note that the chance or the likelihood is represented as a numerical value

How to determine the probability that a boy selected at random is a Junior?

The table that completes the question is added as an attachment

From the table, we have the following values

n(Boys and Junior) = 65

n(Boys) = 285

So, the probability that a boy selected at random is a Junior is

P = n(Boys and Junior)/n(Boys)

This gives

P = 65/285

Evaluate

P = 0.23

How to determine the probability of randomly choosing a student who is a Junior and a boy?

From the table, we have the following values

n(Boys and Junior) = 65

Total = 465

So, the probability of randomly choosing a student who is a Junior and a boy is

P = n(Boys and Junior)/Total

This gives

P = 65/465

Evaluate

P = 0.14

Hence, the probability of randomly choosing a student who is a Junior and a boy is 0.14

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

a driver of a car took a day trip around the coastline driving at two different speeds. he drove 50 miles at a slower speed and 300​ miles at a speed 20 miles per hour faster. if the time spent driving at the faster speed was thrice that spent driving at the slower​ speed, find the two speeds during the trip.

Answers

The slower speed is 20 miles per hour and the higher speed is 40 miles per hour.

time is calculated using the formula

[tex]Time=\frac{Distance}{Speed}[/tex]

In the given question

driver drove 50 miles at slower speed.

Let the slower speed be x miles per hour.

So the time taken to cover 50 miles at slower speed = [tex]\frac{50}{x}[/tex]    ...(i)

driver drove 300 miles at faster speed.

given speed is 20 miles per hour faster i.e. speed = (x+20) miles per hour So the time taken to cover 300 miles at (x+20) mph speed = [tex]\frac{300}{(x+20)}[/tex]....(ii)

According to the question

the time spent driving at the faster speed was thrice that spent driving at the slower​ speed.

From equation (i) and (ii) we get

[tex]3*(\frac{50}{x} )=\frac{300}{x+20}[/tex]

[tex]\frac{150}{x} =\frac{300}{x+20}[/tex]

Cross Multiplying we get

[tex]150(x+20)=300x\\ \\ 150x+3000=300x\\ \\ 300x-150x=3000\\ \\ 150x=3000\\ \\ x=20[/tex]

Slower speed = x = 20mph.

Faster speed = (x+20) = 20+20 = 40mph.

Therefore , The slower speed is 20 miles per hour and the higher speed is 40 miles per hour.

Learn more about Speed, Time and Distance here  https://brainly.com/question/14975450

#SPJ4


Suppose you invest a dollars to earn an annual interest rate of r percent (as a decimal). After t years, the value of the investment with interest compounded yearly is A(t)=a(1+r) t . The value with interest compounded continuously is A(t)=a . e rt
c. For each situation find the unknown quantity, such that continuous compounding gives you an $ 1 advantage over annually compounded interest. Show your work.
- How much must you invest for 1 year at 2 % ?
- At what interest rate must you invest $ 1000 for 1 year?
- For how long must you invest $ 1000 at 2 % ?

Answers

The sum a = 4966.7 is invested at a rate of r = 4.439% for a period of t=4.621 years.

What exactly is a continuous compounding formula?The continuous compounding formula should be used when an issue expressly states that the amount is "constantly compounded."This formula makes use of the mathematical constant "e," which has a value of approximately 2.7182818.

The continuous compounding formula is as follows:

A = Pe^rtWhere P represents the starting sum, A represents the total sum, r represents the interest rate, t represents time, and e is a mathematical constant.

So,

According to the first point, we know that atr = 0.02,  and t = 1.

a(e^rt) - a(1+r)^t = a[ e^(0.02) - 1.02]= 0.00020134 a

Thus for advantage > 1$ we need is as follows:

0.00020134 a > 1a > 1/ 0.00020134a~4966.7

According to the second point, we got that:

t1= 1, a= 1000

Then,

1000[e^r-1-r]> 1>> e^r-1-r > 0.001>>e^r-1-r - 0.001 > 0 ......(1)

Now we hold that r > 0.04439:

r~ 0.04439 r~ 4.439%

According to the third point, we got to know that:

a = 1000, r = 0.02,1000[e^0.02t - (1.02)^t] > 1>>e^0.02t - (1.02)^t > 1 ......(2)

Now 2nd equation holds t > 4.621.

Therefore, the sum a = 4966.7 is invested at a rate of r = 4.439% for a period of t=4.621 years.

Know more about continuous compounding formula here:

https://brainly.com/question/14303868

#SPJ4

What is the equation of the line that passes through the point (4,-8) and has a slope of -3/4

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{y = -3/4x - 5}[/tex]

-------------------------------------------------------------------------------------------------------------

Given: [tex]\textsf{Slope = -3/4 and passes through (4, -8)}[/tex]

Find:  [tex]\textsf{Determine the equation of the line that fits the criteria}[/tex]

Solution:  The first thing that we need to do is plug the information that was provided into the point-slope formula, distribute, and solve for y.

Plug in the values

[tex]\textsf{y - y}_1 = \textsf{m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-8) = -3/4(x - 4)}[/tex]

Distribute and simplify

[tex]\textsf{y + 8 = (-3/4 * x) + (-3/4 * -4)}[/tex][tex]\textsf{y + 8 = -3/4x + (-3 * -4)/4}[/tex][tex]\textsf{y + 8 = -3/4x + (12)/4}[/tex][tex]\textsf{y + 8 = -3/4x + 3}[/tex]

Solve for y

[tex]\textsf{y + 8 - 8 = -3/4x + 3 - 8}[/tex][tex]\textsf{y = -3/4x + 3 - 8}[/tex][tex]\textsf{y = -3/4x - 5}[/tex]

Therefore, the final equation of the line that passes through the point (4, -8) and has a slope of -3/4 is [tex]\textsf{y = -3/4x - 5}[/tex]

Which of the following transformations best describes how to sketch the graph of (look at picture)

Answers

The order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is: A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ y-axis.

The types of transformation.

Generally, there are different types of transformation and these include the following:

RotationTranslationDilationReflection

What is a reflection?

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In conclusion, we can reasonably and logically deduce that the order of transformation which best describes how the graph of h(x) = ∛1 - x should be sketched is to start by plotting the graph of the basic function y = ∛x, and then horizontally shift the graph of function y = ∛x to the left one​ unit, and then reflect the graph about the​ y-axis.

Read more on reflection of graphs here: https://brainly.com/question/17782705

#SPJ1

Complete Question:

Which of the following order of transformations best describes how to sketch the graph of h(x) = ∛1 - x?

A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ y-axis.

B. Starting with the graph of the basic function y = ∛x, vertically shift the graph up one​ unit, and then reflect the graph about the​ y-axis.

C. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ x-axis.

D. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the right one​ unit, and then reflect the graph about the​ y-axis.

what property of integer is this?

Answers

The expression given as -15 + 0 is a representation of the identity property of integer

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the property of integer?

The expression is given as

-15 + 0

The identity property of integer states that

x + 0 = x

This means that

-15 + 0 is a representation of the identity property of integer

Hence,  the expression given as -15 + 0 is a representation of the identity property of integer

Read more about identity property at

https://brainly.com/question/2364391

#SPJ1

Other Questions
Rio has 3/4 liters of milk. He uses 1/3 of the milk to make tea. How much milk does Rio use for the tea? Which of the following is a trial court?District CourtCircuit CourtCourt of AppealsSupreme Court when a firm increases the number of new employees they recruit per year, but the average number of employees stays the same, then turnover has blank . PLS HELP WHY NOBODY ANSWERING ME ? Help solve the perimeter of this shape. Please answer this question. pls help with this question attached In the crowdsourcing and crowdfunding video case, what term related to crowdsourcing is used to describe connecting with an on-demand, scaleable workforce that can perform a broad range of tasks by companies such as the amazon mechanical turk marketplace?. PLEASE PLEASE HELP ME!! the longest one-syllable word that starts with s and ends with d Constructing a decision tree to visually represent the logic in a multi-outcome if problem is often recommended before translating it into excel pseudo code and then the nested if function. True or false?. Select the word or phrase that is redundant and can be removed without changing themeaning of the text.Researchers believe that early humans might have possibly faced extinction nearly onemillion years ago. Absolute value what is greater |-4.3| or |-7.2| Determine how the equilibrium price and equilibrium quantity in the market for coffee changes if the price of tea, a substitute for coffee, decreases, and due to better weather, the price of coffee beans also decreases. Where does bone formation occur during endochondral ossification? multiple choice a. hyaline cartilage model b. fibrous membranous sheet c. adipose tissue d. fibrocartilage model e. synovial membrane Who was Petrarch?a fourteenth-century Italian scholar who proposed a new educational program that became known as humanisma fourteenth-century Italian scholar who proposed a new educational program that became known as humanisma fourteenth-century Italian painter who was inspired by the art of classical Rome and Greece to paint lifelike figuresa fourteenth-century Italian painter who was inspired by the art of classical Rome and Greece to paint lifelike figuresa sculptor from classical Rome who created lifelike statues that were copied during the Renaissancea sculptor from classical Rome who created lifelike statues that were copied during the Renaissancea fourteenth-century Italian author who wrote about the human quest to reach heaven while still living a meaningful life 2=2 how to get the answer for this Graph the function y equals 12 times the quantity 1 over 3 end quantity to the x power. Does the function represent growth or decay? What is the equation of the asymptote? Which graph represents the inequality 0.5 is greater than the product of 2.5 and a number? number line with open circle on point 0.2 and arrow shaded to the left number line with open circle on point negative 5 and arrow shaded to the left number line with open circle on point negative 0.2 and arrow shaded to the right number line with open circle on point negative 5 and arrow shaded to the right Subtract.(2x + 5) - ( 3x + 5)