The scatter plot shows the height of an alfalfa plant over a period of time. Click on the table that best matches the data in the scatter plot.

The Scatter Plot Shows The Height Of An Alfalfa Plant Over A Period Of Time. Click On The Table That

Answers

Answer 1

Based on the information provided, the table that best matches the data in the scatter plot is shown below.

What is a scatter plot?

A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

Based on the information provided, the table that best matches the data in the scatter plot is given by:

Data                       1    2    4    5.5    6.3

Height (cm)            1    2    3     4       5

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

The Scatter Plot Shows The Height Of An Alfalfa Plant Over A Period Of Time. Click On The Table That

Related Questions

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

Answers

[tex]3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24 + 30 < 6x + 12x \\ 54 < 18x \\ \frac{54}{18} < \frac{18x}{18} \\ x > 3[/tex]

Solution : ] 3 , + ♾️ [

PLEASE GIVE BRAINLIEST

please help!! The dot plots below show the ages of students belonging to two groups of salsa classes:
Based on visual inspection, which group most likely has a lower mean age of salsa students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.

Im thinking group A but at this point im just plain out confused

Answers

Group A I’m pretty confident with that answer

The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number, the result is 7. Find the numbers. The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first number , the result is 7 . Find the numbers . Or as points ​

Answers

Answer: 4, 1

Step-by-Step Explanation:

Let the First Number be ‘x’
Let the Second Number be ‘y’

Framing 2 Equations :-

=> 3x + 2y = 14 (Eq. 1)
=> 2x - y = 7 (Eq. 2)

Multiplying Eq. 2 by 2 :-

=> 4x - 2y = 14 (Eq. 3)

Adding Eq. 1 and Eq. 3 we get :-

7x = 14 + 14
7x = 28
x = 28/7
=> x = 4

Therefore, x = 4

Substitute value of ‘x’ in Eq. 1 :-

3x + 2y = 14
3(4) + 2y = 14
12 + 2y = 14
2y = 14 - 12
2y = 2
y = 2/2
=> y = 1

Therefore, y = 1

Hence,
First Number = 4
Second Number = 1

Chris lost $8.59 playing poker in one week. If this continued, what would be his net
winnings or losses after five weeks?

Answers

Answer:

$42.95

Step-by-step explanation:

If Chris lost $8.59 playing poker in one week, in five weeks he would lose $42.95.

$8.59 lost per week.

5 weeks.

$8.59 x 5 = $42.95.

Hope this helps!

If not, I am sorry.

The population of a small town was 3,150 last year. After a new factory opened close by, the population increased by 8%. What
is the new population of the town?

Answers

3,402

8% of 3150 is 252, 3150 + 252 = 3402.

The width of a rectangle measures (10u + 3) centimeters, and its length measures (7u - 8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? The width of a rectangle measures ( 10u + 3 ) centimeters , and its length measures ( 7u - 8 ) centimeters . Which expression represents the perimeter , in centimeters , of the rectangle ? ​

Answers

Answer:

Perimeter of a rectangle: 2L + 2W

2(7u - 8) + 2(10u + 3)

= 14u - 16 + 20u + 6

= 34u - 10

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle.

P = 2 ( length + width)

The perimeter of the rectangle is represented by the expression

(34u - 10) centimeters.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The width of a rectangle = (10u + 3) centimeters.

The length of the rectangle =  (7u - 8) centimeters.

The perimeter of a rectangle is given as,

P = 2 ( length + width)

P = 2 ( 7u - 8 + 10u + 3)

P = 2 (17u - 5)

P = (34u - 10) centimeters.

Thus,

The perimeter of the rectangle is represented by the expression

(34u - 10) centimeters.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

(75 POINTS PLEASE RESPOND ASAP)

Explain how to solve 4x + ^3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

Answer:

1.596

Step-by-step explanation:

So you can rewrite log as: [tex]log_{b}a=x = > b^x=a[/tex] So in this case it's already in exponential form which we'll use to rewrite into logarithm form.

[tex]4^{x+3} = 7\\log_47=x+3\\\\\frac{log7}{log4}=x+3\\1.404\approx x+3\\x\approx1.596[/tex]

Answer:

x = -1.596

Explanation:

[tex]\rightarrow \sf 4^{x + 3} = 7[/tex]

take log on both sides

[tex]\rightarrow \sf log(4^{x + 3}) = log(7)[/tex]

[tex]\rightarrow \sf (x + 3)log(4) = log(7)[/tex]

[tex]\rightarrow \sf x + 3= \dfrac{log(7)}{log(4)}[/tex]

[tex]\rightarrow \sf x= \dfrac{log(7)}{log(4)} -3[/tex]

calculate

[tex]\rightarrow \sf x= -1.596322539[/tex]

[tex]\rightarrow \sf x= -1.596 \quad (rounded \ to \ nearest \ thousand)[/tex]

The two-way table shows the estimated number of students who will enroll in three area high schools next year. a 5-column table has 4 rows. the first column has entries mount woodson high school, valley high school, riverside high school, total. the second column is labeled tenth grade with entries 110, 180, 160, 450. the third column is labeled eleventh grade with entries 120, 150, 140, 410. the fourth column is labeled twelfth grade with entries 80, 120, 200, 400. the fifth column is labeled total with entries 310, 450, 500, 1,260. in decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade? 0.2 0.3 0.4 0.5

Answers

Answer:

A. 0.2

Step-by-step explanation:

First make the table.

                                          10-grade  11-grade  12-grade  Total

Woodson high school    |     110     |     120    |      80     |   310   |

Valley high school          |     180    |     150    |     120     | 450   |

Riverside high school     |     160    |     140    |     200    | 500   |

Total                                 |     450   |     410    |     400    | 1260 |

Question: In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade?

First, find 12-grade and riverside high school number. 200. Take the total lined up with total number, which is 1260, and divide 200 divided by 1260.

200/1260=0.2

The answer is 0.2.

Hope this helps!

If not, I am sorry.

Answer:

its .4

Step-by-step explanation:

i got it wrong when i tried it says it is .4 or the third option c

Change the decimal to a fraction. (Use the “/“ in your fraction.) 0.45454545….

Answers

The decimal: 0.4545...

Can be written in fraction form as 45/99.

How to write the number as a fraction?

Here we have the number:

N = 0.4545...

Notice that the repeating digits are two, 4 and 5.

Then we can multiply our number by 100 (same number of zeros as repeating digits) so we get:

100*0.4545... = 45.4545...

Now if we subtract the original number, we get:

45.4545... - 0.4545... = 45

This means that:

(100 - 1)*0.4545... = 99*0.4545... = 45

Then we can multiply and divide our number by 99, so we get:

[tex]0.4545... = 0.4545...\frac{99}{99} = \frac{45}{99}[/tex]

So the fraction is 45/99

If you want to learn more about fractions:

https://brainly.com/question/11562149

#SPJ1

3. Jeff Ruiz wants to purchase chocolates. The price of a 2-ounce box is $1.10, a 16-ounce box is $8.98, and a
32-ounce box is $17.98.

Answers

Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .

What is an ounce ?

Ounce is defined as 1/16 part of a pound.

It is given that

price of a 2-ounce box is $1.10,

a 16-ounce box is $8.98

a 32-ounce box is $17.98.

As Jeff wants to purchase total 48 ounce chocolates , the box which is more cheaper has to be determined  

The price of 1 ounce in a 2 ounce box is $1.1 /2 = $ 0.55

The price of 1 ounce in a 16 ounce box is $8.98 /16 = $ 0.56

The price of 1 ounce in a 32 ounce box is $17.98 /32 = $ 0.56

Therefore Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .

To know more about Ounce

https://brainly.com/question/26950819

#SPJ1

1. Identify your variables using let statements.

2. Determine the equations for the linear system.

3. Determine the solution to the linear system (point of intersection)

4. Explain the meaning of the solution using a therefore statement.

Chris is mixing 2 different types of fruit juice together for a summer drink. The two types of juices he is using is one that is 30% strawberry concentrate and the other is 55% lemon concentrate. If he wants 2 L that is 40% concentrate of the fruit juices, how much of each should be used to create the drink?

Answers

The meaning of the solution is; Therefore, 1.2 liters of the strawberry concentrate and 0.8 liters of the lemon concentrate.

What is the solution to the system of equations?

It follows from the task content that the variables are;

let x be the amount of 30% strawberry concentrate.

let y be the amount of 55% lemon concentrate.

The equations of the linear system according to the task content are as follows;

x + y = 20.30x + 0.55y = (2 ×0.4)

From the first equation; x = 2-y;

Hence, upon substitution; we have;

0.30(2-y) + 0.55y = 0.8

0.25y = 0.2.

y = 0.2/0.25 = 0.8L.

Hence, x = 2- 0.8 = 1.2L.

Read more on simultaneous equation;

https://brainly.com/question/148035

#SPJ1

can someone please help mee (20 points and i will give brainliest!!!)

Answers

Answer:

a. y-intercept:(0,  -6), x-intercepts: (3, 0) and (-2, 0). vertex: (0.5, -6.25)

b. y-intercept: (0, 6), x-intercepts(3, 0) and (-2, 0). vertex: (0.5, 6.25)

Step-by-step explanation:

a:

 So finding the y-intercept is really easy and is simply when x=0. If you plug in 0 as x it makes [tex]y=(0)^2-0-6[/tex] which simplifies to -6, which is the y-intercept. As for the x-intercepts you can calculate that by using the quadratic equation [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]. In this case a=1, b=-1, c=-6. So plugging those values in you get [tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-6)}}{2(1)}[/tex], which simplifies to [tex]x=\frac{1\pm5}{2}[/tex]. This gives you the x-intercepts 6/2 and -4/2 which are 3 and -2. The vertex can be calculated by manipulating the equation so it's in the form of [tex]y=(x-h)^2+k[/tex] where (h, k) is the vertex of the parabola. This is done by moving c to the other side and then completing the square and the isolating y. So the first step will be

Move c to the other side

[tex]y+6=x^2-x[/tex]

Complete the square by adding (b/2)^2

[tex]y+6+0.25 = x^2-x+0.25[/tex]

Rewrite as square binomial

[tex]y+6.25 = (x-0.5)^2[/tex]

Isolate y

[tex]y=(x-0.50)^2-6.25[/tex]

(h, k) = 0.50, -6.25 which is the vertex

b: To identify the y-intercept you plug in 0 as x which will only leave c which in this case is 6 which is the y-intercept. (0, 6). To identify the x-intercepts you can simplify plug in the values a, b, c into the quadratic equation which was stated in the previous answer. In this case a, b, c = -1, 1, 6. Plugging these values in gives the equation [tex]y=\frac{-(1)\pm\sqrt{1^2-4(-1)(6)}}{2(-1)}[/tex]. which simplifies to [tex]x=\frac{-1\pm5}{-2}[/tex] which gives the values -2 and 3. To find the vertex it's the same process as before

Factor out -1

[tex]y=-(x^2-x-6)[/tex]

Add 6 to both sides (on the left side add -6 since -1 was factored out).

[tex]y-6=-(x^2-x)[/tex]

Complete the square by adding (b/2)^2 to both sides (add -(b/2)^2 to left side since -1 was factored out)

[tex]y-6-0.25 = -(x^2-x+0.25)[/tex]

Rewrite as square binomial

[tex]y-6.25=-(x-0.5)^2[/tex]

Add 6.25 to both sides

[tex]y=(x-0.50)^2+6.25[/tex]

(h, k) = (0.50, 6.25)

When you graph the parabolas you'll notice there just flipped relative to the x-axis. This can be deduced by simply looking at the two equations, since the two equations have the same absolute value coefficients, the signs are just different, and more specifically they're all opposite. If you took the first equation and multiplied the entire right side by -1 you would get the same equation. And since that equation really represents the value of y (since it's equal to y) you're reflecting it across the x-axis.

Answer:

a) y-intercept (0,  -6); x-intercepts (3, 0) and (-2, 0); vertex (0.5, -6.25)

b) y-intercept (0, 6); x-intercepts (3, 0) and (-2, 0); vertex (0.5, 6.25)

Step-by-step explanation:

Given the equation y = x – 2, you substitute 5 for x. Check all true statements below.

Answers

The correct value of the given function at x = 5 is y =3.

What is Equation?

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

Here, the given equation :

         y = x - 2

put x = 5 in the given equation, we get

        y = 5 - 2

        y = 3

Thus, the correct value of the given function at x = 5 is y =3.

Learn more about Equations from:

https://brainly.com/question/10413253

#SPJ1

all natural numbers (N) are integers (Z), but not all integers are natural numbers true or false

Answers

True. All natural numbers N are integers Z, but not all integers are natural numbers.

Natural numbers:

Natural numbers starts from zero to infinity are all positive.All the natural numbers are whole numbers.It is denoted by NThe set of natural numbers are N = 1,2,3, ...

Integers:

Integers are the whole numbers that contain positive numbers, zero and negative numbersIt is denoted by ZThe set of integers are Z = ... ,-3,-2,-1,0,1,2,3, ...

Since natural numbers are all positive, N is positive integers but not all integers are natural numbers.

Learn more about Number system here:

https://brainly.com/question/17200227

#SPJ10

30 point!!!! Help me fast!!!PLS!!Question is attached!!!

Answers

Answer:

This is an extremely easy question bro!

1.

2. 3 (Base) ² (Exponent)

3. Expanded form: (9 * 1)

   Standard form: 9

Step-by-step explanation:

Well, there's none.

Please mark me as Brainliest! Thanks! :)
Detailed Answers:

1) 5^3

2) Base = 5; Exponent = 2

3) Expanded Form = 5 * 5
Standard Form = 25

The volume of a box is 5x^3 + 20x^2 + 15x cm^3. If the height of the box is 5x cm, find the width and length of the box.

Answers

Answer:

The product of the Width and Length is x^2 + 4x + 3 cm^2.

Step-by-step explanation:

The volume of a box = 5x^3 + 20x^2 + 15x cm^3.

Volume of a Box = W*L*H       [Width(W), Length(L), and Height(H)]

W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3

W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm

W*L = x^2 + 4x + 3 cm^2

We know the area of the base of the box (W*L).  It is x^2 + 4x + 3 cm^2.

To find the actual width and length, we need to know one of the variables, L or W.  Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.

Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)

Answers

Answer:

12 is the answer

Step-by-step explanation:

FIRST do 23 - 11 and you will find your answer

Add/Subtract the linear expression. -4(3x - 2) - 2(7x + 1)​

Answers

Answer:

10

Step-by-step explanation:

multiply -4 and 3 to get -12

multiply -12 and -2 to get 24

multiply 2 and 7 to get 14

multiply 14 and 1 to get 14

subtract 14 from 24 to get 10

evaluate: (36/49)^1/2

Answers

Answer:

6/7, -6/7

Step-by-step explanation:

Which one is it? I need help

Answers

The statement that must be true about square WXYZ are as follows;

WX ≅ XYWX ≅ YZ∠W is a right angle.

Properties of a Square.All sides are equal to each other.Opposite sides are parallel to each other.All the angles are right angle.The diagonals bisect each other and are perpendicular.

Therefore, the statement that must be true about square WXYZ are as follows;

WX ≅ XYWX ≅ YZ∠W is a right angle.

learn more on square here: https://brainly.com/question/15019502

#SPJ1

Question 2 multiple choice worth 1 points)
(01.02 lc)
solve for x: 6x + 3 = 5x - 8
0-11
11
0-5
5

Answers

[tex]6x+3=5x-8[/tex] (given)

[tex]x+3=-8[/tex] (subtract 5x from both sides)

[tex]x=\boxed{-11}[/tex] (subtract 3 from both sides)

Which ordered pair is included in the solution set to the following system?

y > x2 + 1
y < x2 – x + 1


(–3, 4)
(–2, 6)
(0, 2)
(2, 4)

Answers

Inequalities help us to compare two unequal expressions. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair which will satisfy both the inequalities will be the solution to the system of inequalities. Therefore, let's substitute each solution in the given inequalities,

A.) (–3, 4)

y > x² + 1

          4 > (-3)² + 1

Since the first inequality is not satisfied this is not a part of the solution.

B.) (–2, 6)

y > x² + 1

          6 > (-2)² + 1

          6 > 5

y < x² – x + 1

          6 < (-2)² - (-2) + 1

          6 < 7

Since both the inequalities are satisfied this is the solution to the given system of inequalities.

C.) (0, 2)

y > x² + 1

          2 > 0 + 1

          2 > 1

y < x² – x + 1

          2 < (0)² - (0) + 1

          2 < 1

Since the second inequality is not satisfied this is not a part of the solution.

B.) (2,4)

y > x² + 1

          4 > (2)² + 1

          4 > 5

Since the first inequality is not satisfied this is not a part of the solution.

Hence, the correct option is B.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment

Answers

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

The steps to copy a line segment are given below:

1. Let's start with a line segment AB that we have to copy.

2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so that the compass width is equal to the length of AB.

5. Without changing the compass width, now place the compass tip on point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

To learn more about the construction of the line segment visit:

https://brainly.com/question/19449402.

#SPJ1

A square its diagonal length = 12cm then its area =

Answers

Answer:

72  sq cm

Step-by-step explanation:

For any rectangle, the diagonal is the hypotenuse of the right triangle formed by the base of the rectangle(b) and the height (h) of the rectangle

By the Pythogorean formula

[tex]d^{2} = b^{2} + h^{2}[/tex]

where d is the diagonal

For a square, all sides are equal so b = h = a and we get the formula

[tex]d^{2} = a^{2} + a^{2} = 2a^{2}[/tex]

[tex]a^{2} = d^{2} /2[/tex]

In this case we have d =12 so

[tex]a^{2} = 12^{2} /2 = 144/2 = 72[/tex]

But for a square of side a, the area is [tex]a^{2}[/tex] so 72 is the area

Answer:

72 square cm

Step-by-step explanation:

Area of square:

       [tex]\sf \boxed{\bf Area = \dfrac{d^{2}}{2}}[/tex]  , here d is the length of the diagonal

                  [tex]\sf =\dfrac{12* 12 }{2}\\\\ = 6*2\\\\= 72 \ cm^2[/tex]

HELP ITS ABOUT ANGLES :((((

Answers

Answer:

its D. 2 and 3

Step-by-step explanation: supplementary angles are angles that add up to 180 (or that make a straight line) the angle pairs that make a straight line are 1 and 2, 2 and 3, 3 and 4, and 4 and 1.
So D would be correct

Two candles are light at the same time one burns for 6 hours and the other one lasts 2 hours. The first candles flame is 3 times longer than the other ones. How long do the both candles burn for? (please write with the way you found the answer I will give brainliest.)

Answers

At  150 minutes the length of the first candle is 3 times that of the other.

The complete question is

There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in 5 hours and the second one burns in 2 hours. Both the candles are lit together. After how many minutes the length of the first candle is 3 times that of the other?

What is an Equation ?

When two algebraic expression are equated using an equal sign an equation is formed.

First candle burns for 5 hours

Second candle burns for 2 hours

Let the length of candle be l.

After t time (in minutes), length of first candle =l−(lt/300)

Length of second candle =l− (lt/120)

From the data given

l -  (lt/120) = 3 * (l−(lt/300))

On simplifying

4t = 600

t = 150 minutes

Therefore after 150 minutes the length of the first candle is 3 times that of the other.

To know more about Equation

https://brainly.com/question/10413253

#SPJ1

A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.

(see attachment for table)

Based on the information, which statement about the eggs is correct?

Given the egg has _______, the egg was kept warmer than room temperature.

answer choices for blank: hatched, not hatched

Answers

Given the egg has hatched, the egg was kept warmer than room temperature.

Given:

                      Cool      Room temperature        Warm             Total

Hatched           5              16                                21                  42

Unhatched        18           10                                 4                   32

Total                 23            26                                25                    74

To fill the blank we need to analyse the temperature carefully if see the table then cool hatched eggs are 5 , unhatched cool eggs are 18, eggs on room temperature and hatched are 16, eggs on room temperature and unhatched are 10, warm hatched eggs are 21 and warm unhatched eggs

So we can notice that hatched eggs are more in room temperature.

Hence hatched eggs are more in room temperature.

Learn more about temperature at https://brainly.com/question/25677592

#SPJ10

Answer:

Given the egg has hatched the egg was kept warmer than room temperature.

Hope this helped!

(a − b)(2x − 3) + (6x + 7)(a − b)
factorise and ignore the first question it was wrong

Answers

Answer:

8ax - 8bx + 4a - 4b

Step-by-step explanation:

(a - b)(2x - 3) + (6x + 7)(a - b)

2ax -3a -2bx +3b + 6ax - 6bx + 7a -7b

8ax + 4a - 8bx - 4b

What are the first 10 digits after the decimal point (technically the hexadecimal point...) when the fraction frac17 is written in base 16?

Answers

We happen to have

[tex]\dfrac17 = \dfrac18 + \dfrac1{8^2} + \dfrac1{8^3} + \cdots[/tex]

which is to say, the base-8 representation of 1/7 is

[tex]\dfrac17 \equiv 0.111\ldots_8[/tex]

This follows from the well-known result on geometric series,

[tex]\displaystyle \sum_{n=1}^\infty ar^{n-1} = \frac a{1-r}[/tex]

if [tex]|r|<1[/tex]. With [tex]a=1[/tex] and [tex]r=\frac18[/tex], we have

[tex]\displaystyle \sum_{n=1}^\infty \frac1{8^{n-1}} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac1{1-\frac18} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac87 = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac17 = \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots[/tex]

Uniformly multiplying each term on the right by an appropriate power of 2, we have

[tex]\dfrac17 = \dfrac2{16} + \dfrac{2^2}{16^2} + \dfrac{2^3}{16^3} + \dfrac{2^4}{16^4} + \dfrac{2^5}{16^5} + \dfrac{2^6}{16^6} + \cdots[/tex]

Now observe that for [tex]n\ge4[/tex], each numerator on the right side side will contain a factor of 16 that can be eliminated.

[tex]\dfrac{2^n}{16^n} = \dfrac{2^4\times2^{n-4}}{16^n} = \dfrac{2^{n-4}}{16^{n-1}}[/tex]

That is,

[tex]\dfrac{2^4}{16^4} = \dfrac1{16^3}[/tex]

[tex]\dfrac{2^5}{16^5} = \dfrac2{16^4}[/tex]

[tex]\dfrac{2^6}{16^6} = \dfrac4{16^5}[/tex]

etc. so that

[tex]\dfrac17 = \dfrac2{16} + \dfrac4{16^2} + \dfrac9{16^3} + \dfrac2{16^4} + \dfrac4{16^5} + \dfrac9{16^6} + \cdots[/tex]

and thus the base-16 representation of 1/7 is

[tex]\dfrac17 \equiv 0.249249249\ldots_{16}[/tex]

and the first 10 digits after the (hexa)decimal point are {2, 4, 9, 2, 4, 9, 2, 4, 9, 2}.

Quadrilateral ABCD was rotated 360° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

A (x, y)-(x,y)

B(x, y)(x, y)

c(x, y)-(x, y)

D (x, y)-(x, y)

Answers

The rules describes the transformation is (x, y)(x, y).

The correct option is (B)

what is Transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

If the figure is rotated 360 degrees then the coordinates remains unchanged.

This is because when from where it started it stops there again.

As the 360 degree rotation is complete circle rotation.

Learn more about this concept here:

https://brainly.com/question/16775925

#SPJ1

Other Questions
Question ProgressFind the following, giving your answersto 1 decimal place.10 cm/Homework Progress17/21 Marks6 cm8 cma) The volume of the cone.b) The curved surface area of the cone.Vol = Curvedsurface area In early April, an investor buys 1 XYZ Oct 60 call for $9 and sells 1 XYZ Jul 70 call for $4. If the investor buys back the Jul call for $1 and sells the Oct call for $12, what will the pretax profit or loss be? 13. How does propaganda influence people?Propaganda share facts so you don't have to use the web to search for information.Propaganda is a fun way to help people live happier lives.Propaganda delivered facts and useful information.Propaganda convinces people to reconsider their beliefs and actions. Which of the following shows that polynomials are closed under subtraction when polynomial 5x 6 is subtracted from 3x2 6x + 2? a woman relates to the nurse that she understands that dietary fat is bad for her and that she should avoid it during pregnancy. how should the nurse respond? Three out of every 20 students in ms. jones Math class earned a grade of A. What percent of the students earned a grade of A? Question 3 of 20All of the following are examples of associate's degrees except.O A. Associate of Medicine.OB. Associate of Science.OC. Associate of Arts.OD. Associate of Applied Science. How does Hucks use of dialect to describe the setting affect this part of the story?The expressions he uses decrease the conflict by showing that Huck and the others will be good sports about the townspeoples retaliation.The expressions he uses increase the conflict by revealing how frightened Huck and the others are at the thought of the townspeoples revenge.The expressions he uses add humor and lessen the tension that is building as the townspeople file in to exact their revenge on Huck and the others.The expressions he uses heighten the suspense that is building as the townspeople file in to exact their revenge on Huck and the others. Reflect on the importance of stoichiometry and rate of chemical reaction in the design of car airbags A muscle cell with high concentration of carbon dioxide and a low concentration of oxygen is surrounded by blood with a high concentration of oxygen and a low concentration of carbon dioxide. No ATP was used by the cell for cell transport of the carbon dioxide or oxygen molecules which of the following events will most likely happen? Suppose a population parameter is 0.8, and many large samples are takenfrom the population. If the sample proportions are normally distributed, with95% of the sample proportions falling between 0.684 and 0.916, what is thestandard deviation of the sample proportions? 123Click on each graph to enlarge it.4Suppose f(x) = x. Find the graph of f(x) + 4.Click on the correct answer.graph 1graph 3graph 2graph 4 In the diagram, DG = 12, GF = 4, EH = 9, and HF = 3.Triangle D E F is shown. Line G H is drawn parallel to side D E within the triangle to form triangle G F H. The length of D G is 12, the length of G F is 4, the length of E H is 9, and the length of H F is 3.To prove that DFE ~ GFH by the SAS similarity theorem, it can be stated that StartFraction D F Over G F EndFraction = StartFraction E F Over H F EndFraction andDFE is 4 times greater than GFH.FHG is One-fourth the measure of FED.DFE is congruent to GFH.FHG is congruent to EFD. Read the passage from Sugar Changed the World.Sugar was the connection, the tie, between slavery and freedom. In order to create sugar, Europeans and colonists in the Americas destroyed Africans, turned them into objects. Just at that very same moment, Europeansat home and across the Atlanticdecided that they could no longer stand being objects themselves. They each needed to vote, to speak out, to challenge the rules of crowned kings and royal princes. How could that be? Why did people keep speaking of equality while profiting from slaves? In fact, the global hunger for slave-grown sugar led directly to the end of slavery. Following the strand of sugar and slavery leads directly into the tumult of the Age of Revolutions. For in North America, then England, France, Haiti, and once again North America, the Age of Sugar brought about the great, final clash between freedom and slavery.Based on this excerpt, what question are the authors trying to answer?How did colonists challenge the rules of crowned kings?How did the Age of Sugar differ from the Age of Revolutions?When did Europeans decide to speak about equality?Why did some Europeans decide they wanted to speak out about slavery? Can anyone tell me the Plant taxonomy Of any 10 flowers with 1 line explanation of each one which event is most likely to be considered a normative age-graded influence on development? Read the excerpt from The Odyssey.Now Zeus the lord of cloud roused in the northa storm against the ships, and driving veilsof squall moved down like night on land and sea.The bows went plunging at the gust; sailscracked and lashed out strips in the big wind.We saw death in that fury, dropped the yards,unshipped the oars, and pulled for the nearest lee:then two long days and nights we lay offshoreworn out and sick at heart, tasting our grief,until a third Dawn came with ringlets shining.Then we put up our masts, hauled sail, and rested,letting the steersmen and the breeze take over.Which elements of epic poetry are shown in this excerpt? Select three options.1. supernatural elements2. an invocation of a muse3. a difficult journey with trials4. rhyme and repetition of words5. important historical events6. a hero showing perseverance when it is documented that the patient is both using tobacco and has a dependence on tobacco, how is this reported in icd-10-cm? Which structures are involved in creating insulin inside pancreatic cells and to liver cells In this assessment, you will gather evidence from a current event to support the following claim: The environment and human health are interrelated.Instructions:Find Evidence:Find a current event article, news story, or scientific study that presents at least three pieces of evidence that things in the environment can impact human health. Your current event can be a written article, video, or podcast. Here are some locations where podcasts can be found.NOAA Ocean PodcastNPR Podcast DirectoryPBS News Hour PodcastUnfold PodcastEvidence within your current event can be in the form of scientific observations or collected data. Here are some examples of the types of evidence you can look for in your article, video, or podcast:Noise pollutionHousing and healthIndoor air pollutantsPublic health and safetyAccess to public servicesFood or water contaminationEnvironmental radiation exposureProvide Reasoning:Explain how each piece of evidence from your source supports the claim.Use vocabulary terms and descriptions of processes in your reasoning.Download and complete the 05.04 Environment and Human Health Current Event Worksheet.View the generic student sample below to see how to structure your claim-evidence-reasoning. *Note: The topic of this sample does not match this assessment topic and is intended as an example only. Student Sample