What is the length of segment KL? Round the answer to
the nearest tenth of a units.

K=(-4,-6) L =(5,1)

Answers

Answer 1

Answer:

d ≈ 11.40

Step-by-step explanation:

K: (-4, -6); L: (5, 1)

    (x₁, y₁)     (x₂, y₂)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(5 - (-4))² + (1 - (-6))²

d = √(5 + 4)² + (1 + 6)²

d = √(9)² + (7)²

d = √81 + 49

d = √130 ≈ 11.40

I hope this helps!


Related Questions

Three consecutive integers have a sum of 81. Find the integers

Answers

Answer:

26, 27, 28

Step-by-step explanation:

Let the 3 integers be: x, x+1, x+2

x+x+1+x+2 = 81

3x+3 = 81

3x = 78

x = 26

x+1 = 27

x+2 = 28

Steve has a new credit card with an APR of 11.99% and a credit limit of $1800. The minimum monthly payment is 6.5 % of the new balance. If Steve buys $550 dollars in school supplies at the beginning of the month, what will Steve’s new balance be at the end of the month? Explain your answer rounded to the nearest cent

Answers

Steve's new credit card balance at the end of the month and after making the minimum monthly payment will be $519.39.

What is a credit card balance?

A credit card balance is an amount the cardholder owes to the credit card issuer at the end of a credit period.

The credit card balance consists of purchases, finance charges, and repayments.

Credit card's APR = 11.99%

Credit limit = $1,800

Minimum monthly payment = 6.5%

Purchase at the beginning of the month = $550

Credit card interest for the month = $5.50 ($550 x 11.99% x 1/12)

New balance = $555.50

Minimum payment = $36.11 ($555.50 x 6.5%)

Balance after the minimum payment = $519.39 ($555.50 - $36.11)

Thus, If he buys $550 in school supplies at the beginning of the month, Steve’s new balance at the end of the month is $555.50, which he can reduce to $519.39 by making the required minimum monthly payment.

Learn more about credit card balances at https://brainly.com/question/6872962

#SPJ1

circle C has centre D and equation

x^2+y^2+2x-8y+8=0


A line is drawn through the point P (4,6),so that it touches the circle C at the point T

Show that PT=square root 20

find the equation of the circle centre P which passes through the point T

Answers

The equation of the circle center P which passes through the point T is [tex](x-4)^{2} + (y-6)^{2} = 20[/tex]

Here, we are given a circle with center D and equation as-

[tex]x^{2}+ y^{2}+2x -8y + 8 =0[/tex]

Comparing this to the general form of equation of a circle which is  [tex]x^{2}[/tex] + [tex]y^{2}[/tex]+ 2gx + 2fy + c = 0, we get-

g = 1, f = -4 and c = 8

thus, the center of the circle is (-1,4) and radius =[tex]\sqrt{ (1+16-8)}[/tex] = 3

Now, since PT is a tangent to the circle, DP will e perpendicular to PT.

We can find the length of PD using the distance formula as we know P(4,6) and D(-1,4)

= [tex]\sqrt{(4+1)^{2} +(6-4)^{2} }[/tex]

= [tex]\sqrt{(5)^{2} +(2)^{2} }[/tex]

= [tex]\sqrt{25 +4 }[/tex]

=[tex]\sqrt{29}[/tex]

Thus, in triangle, PDT by using Pythagoras theorem, we will have-

[tex]PT^{2} + DT^{2} = PD^{2}[/tex]

since DT is the radius of the circle, DT = 3

⇒ [tex]PT^{2} + 3^{2} = (\sqrt{29}) ^{2}[/tex]

[tex]PT^{2} + 9 = 29[/tex]

[tex]PT^{2} = 29 - 9[/tex]

[tex]PT^{2} = 20[/tex]

[tex]PT = \sqrt{20}[/tex]

Thus, we've proved that the length of PT is [tex]\sqrt{20}[/tex] units.

Now, the circle with center P, passing through T will have radius = [tex]\sqrt{20}[/tex]

so r = [tex]\sqrt{20}[/tex] and (h,k) = (4,6)

Thus, the equation of the circle will be-

[tex](x-h)^{2} + (y-k)^{2} = r^{2}[/tex]

[tex](x-4)^{2} + (y-6)^{2} = (\sqrt{20}) ^{2}[/tex]

[tex](x-4)^{2} + (y-6)^{2} = 20[/tex]

Thus, the equation of the circle center P which passes through the point T is [tex](x-4)^{2} + (y-6)^{2} = 20[/tex]

Learn more about circles here-

https://brainly.com/question/24375372

#SPJ1

10. A blood alcohol content (BAC) of 0.08 g/100 mL means

Answers

It means that there is 0.08 grams of alcohol for every 100 mL of blood present

Write the given transformation in vector notation (please help its due in 20 mins)

Answers

Answer:

-1, 1

Step-by-step explanation:

The translation is 1 unit left and 1 unit up.

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 inches. The length of the frame is 20.3 inches.

Write an equation to find the width of the frame, x.

Enter the correct equation in the box.

Answers

An equation to find the width of a rectangular frame with perimeter 72.2inches and length 20.3 inches is given by 2( 20.3 + x ) = 72.2 .

As given in the question,

Pierce is making a rectangular frame for a photo collage.

Perimeter of a rectangular frame is equal to 72.2 inches.

Length of the rectangular frame is equal to 20.3 inches

Perimeter of the rectangle = 2(length + width) __(1)

Let x inches be the width of the frame

Equation with x width of the frame is given

2(20.3 + x) = 72.2

Therefore, an equation to find the width of a rectangular frame with perimeter 72.2inches and length 20.3 inches is given by 2( 20.3 + x ) =72.2.

Learn more about equation here

brainly.com/question/14686792

#SPJ1

given a number line C=11 and D=13 CD=?can u help me solve this problem?

Answers

The diagram of the number line is shown below

Thus, the distance CD which is the distance between point D and point C is

13 - 11 = 2

CD = 2

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
A. 3-2x
B. 4x+1
C. 2x-3
D. 2x-1

Answers

If f(x)= 3x - 1 and g(x) = x+2, (f +g)(x) is 4x+1.
The answer is C.
You need to distribute the negative to g which would be 3x-1 -x-2 and then add like terms



The retail cost of a TV is 10% more than its wholesale cost. Therefore, the retail cost is
The retail cost is
times the wholesale cost.


Answers

Answer:

  1.1

Step-by-step explanation:

You want the multiplier of the wholesale cost that makes the retail cost be 10% more.

Multiplier

The retail cost is said to be ...

   retail cost = (wholesale cost) + 10% × (wholesale cost)

  = (wholesale cost) × (1 +10%)

  = (wholesale cost) × 1.10

The retail cost is 1.10 times the wholesale cost.

M2 U2 Practice 6
Given: the equation of line lis y = -x +4
Write the equations of the lines passing through the point (6,7) that are (a) perpendicular to line I, and (b) parallel to
line l.

Answers

    Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

What formula should you use to represent the line that passes through the given points?

How to determine a line's equation from two points:

Using the slope formula, determine the slope.

To find the y-intercept (b), use the slope and one of the points.

You can obtain the equation for a line by entering the values of m and b into the slope-intercept form of the line (y = mx + b).

y = -x/3 + 5 is the equation that depicts the line that crosses through the coordinates (-6, 7) and (-3, 6).

3 Answers What is the slope of the line passing through (- 7 2 and 6 7? by Certified Tutors

The slope of the equation would be nine.

To Learn more About Parallel lines, Refer:

https://brainly.com/question/26961508

#SPJ13

Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well-controlled research (Persson, Bringlov, Nilsson, and Nyberg, 2004). In a typical study, a researcher
obtains a sample of n = 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general popula-tion, scores from the test form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 12. The sample of research participants had an average of M = 54. a. Assuming a two-tailed test, state the null hypoth-esis in a sentence that includes the two variables being examined.
b. Using the standard 4-step procedure, conduct a two-tailed hypothesis test with α = .05 to evaluate the effect of the supplements

Answers

Using the z-distribution to test the hypothesis, we have that:

a) The null hypothesis is [tex]H_0: \mu = 50[/tex].

b) The p-value of the test is greater than 0.05, hence we do not reject the null hypothesis, meaning that the supplements did not have the intended effect.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence that the mean was different, hence:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the mean was different, hence:

[tex]H_1: \mu \neq 50[/tex]

What is the test statistic?

The test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.

In the context of this test, the parameters are given as follows:

[tex]\overline{x} = 54, \mu = 50, \sigma = 12, n = 16[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{54 - 50}{\frac{12}{\sqrt{16}}}[/tex]

z = 1.33.

What is the p-value and what is the conclusion?

Considering a two-tailed test, as we are testing if the mean is different of a value, with z = 1.33, the p-value of the test is of 0.1835, which is greater than 0.05, meaning that we do not reject the null hypothesis and the supplement did not change the mean.

More can be learned about the z-distribution at https://brainly.com/question/16313918

#SPJ1

Use the diagram find the image of c under the translation described by the translation rule
(X,y) (x+11,y-8)

○ B
○ A
○ D
○ E

Answers

D trust me I’m John wick

Blake was assigned the problem below. Analyze his work and determine if it is correct.If it is wrong, describe all mistakes.Problem:53x-5 = ( 625 )#*?53x-s5 "(x+2)3x-5 = 4 (x+7)3x-5= 4x+7-3x-3xS = x +7-7-7x= -12

Answers

1) Let's solve that exponential equation

Converting the bases:

2) Since we are on the same base let's just calculate the exponents.

3) Blake has committed a mistake when He didn't apply the distributive property properly. He didn't multiply the 7 by 4. He subtracted the x variables wrongly and added -7 to -5.

When He started operating the exponents.

Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The amountsshe spent in each category are pictured here.Food$289Rent$361Other$433Fun$217What percent of her total spending did she spend on Rent? Answer to the nearest whole percent.

Answers

Total expenses = $289 + $361 + $433 + $217 = $1300

Percentage of money spent on rent:

(Money spent on rent)/(Total expenses) = $361/$1300 = 0.2777 ≈ 28%

Therefore 28% of total expenses are for rent

The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July?

21 feet
23 feet
8 feet
13 feet

Answers

The difference between the depths in February and July is D. 13 feet.

How to illustrate the information?

From the information illustrated, it was stated that the depth of a local lake average 26 ft is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|.

Therefore, it should be noted that the depth in July is -18.

Therefore, the difference between the depths in February and July will be:

= -5 - (-18)

= -5 + 18

= 13

Therefore, the difference is 13 feet.

Learn more about depth on:

brainly.com/question/28516504

#SPJ1

list 3 points that are on the line 2x=6y+4

Answers

The three Points that  lie on the given line 2x=6y+4 are  (5,1) , (8,2) and (11,3).

The given equation of line is given below,

2x=6y+4                              equation 1

We need to find the points that lie on the given line.

Point 1 :

Put x = 5 in equation 1

2(5) = 6y + 4

6y = 6

y=1

So, Point (5,1) lie on the given line.

Point2:

Put x = 8 in equation 1

2(8) = 6y + 4

6y = 12

y=2

So, Point (8,2) lie on the given line.

Point 3 :

Put x = 11 in equation 1

2(11) = 6y + 4

6y = 18

y=3

So, Point (11,3) lie on the given line.

Thus, Points (5,1) , (8,2) and (11,3) lie on the line 2x=6y+4 .    

To know more about equation of line refer to the link:

https://brainly.com/question/13763238

#SPJ1

uppose that the rela
S={(-1, -9), (-9, 1), (3, 1)}
ve the domain and range of S.
rite your answers using set notation.
domain =
range =





Help me please

Answers

Answer:

Domain = {-9, -1, 3}Range = {-9, 1}

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Your cousin gave you $13.78 with which
to buy a present. This covered 2/3 of the
cost. How much did the present cost?

Answers

The cost of the present is $20.67

Given,

The cost of the present = x

Amount given by cousin = $13.78

Amount given by cousin is 2/3 of x.

That is,

13.78 = 2/3 of x

Lets find x

13.78 = 2/3 × x

13.28 = 2x/3

Multiply with 3 on both sides

13.78 × 3 = (2x/3) × 3

We get,

41.34 = 2x

Divide 2 on both sides

That is,

41.34/2 = 2x/2

We get,

x = 20.67

Here, x is the cost of the present

Therefore, the cost of the present is $20.67

Learn more about cost here:

https://brainly.com/question/15259195

#SPJ1

please solve the inequality in the picture shown below i will give brainliest

Answers

the answer to this is p<-1

[tex]\frac{3}{4} -\frac{1}{2} p > \frac{5}{4} \\\frac{3}{4}(4)-\frac{1}{2} p(4) > \frac{5}{4} (4)\\3-2p > 5\\-2p > 5-3\\-2p > 2\\\frac{-2p}{-2} > \frac{2}{-2} \\p < -1[/tex]

when you divide or multiply by a negative number the signs <> change directions.

A scientist is working with two different concentrations of hydrochloric acid (HCI). One bottle is
80% HCI, and the other is 50% HCI. For their experiment they need 1 liter of 70% HCI.
How many liters of the 80% solution do they need?
How many liters of the 50% solution?

Answers

The liters of 80% material is 2/3 liters.

The liters of the 50% solution is 1/3 liters.

How to illustrate the information?

Based on the information, the scientist is working with two different concentrations of hydrochloric acid (HCI).

Let x = volume of 80%

Let 1 -x =volume of 50%

Therefore, the expression to illustrate the information will be:

80x + 50 × (1 - x) = 70

80x + 50 - 50x = 70

30x = 70 - 50

30x = 20

Divide

x = 20/30

x = 2/3

Therefore there are 2/3 liters of 80% material

The liters for the 50% solution will be 2/3 subtracted from 1. The 2/3 implies that for the 80% material. This will be:

= 1 - 2/3

= 1/3

There are also 1/3 liters of 50% material.

Learn more about scientist on:

brainly.com/question/458058

#SPJ1

DERMarissa VasquezDATEArcs and ChordsLGEBRA Find the value of x in each circle.1.2.KN384x+10=384x=284x + 10X=7M70°LР4. OR = OS(5x - 1)°3..109°A

Answers

SOLUTION

Given the question in the image, the following steps can be used to get x

Step 1: Explain the concept of equal arcs in a circle

If a circle is divided into arcs, then each arc is a minor arc and they all sum up to be equal to the total angles in the circumfference of the circle which is 360 degrees.

Step 2: Explain the breakdown of the minor arcs in the circle

It can be seen that the minor arcs divided the circle into three parts which are two equal arcs and a 70 degrees arc. This implies that:

[tex]x+x+70=360^{\circ}_{}[/tex]

Step 3: Find x

[tex]\begin{gathered} x+x+70=360 \\ 2x=360-70 \\ 2x=290 \\ x=\frac{290}{2} \\ x=145^{\circ} \end{gathered}[/tex]

Hence, the value of x in the given circle is 145 degrees

3.4-2.8d+2.8d-1.3Combine like terms to create an equivalent expression.

Answers

The given expression is

3.4 - 2.8d + 2.8d - 1.3

By collecting like terms, we have

- 2.8d + 2.8d + 3.4 - 1.3

= 0 + 2.1

= 2.1

find the value of k given both points lie on a line passing through the orgin (-12,-2) and (k,8)

Answers

The value of k given that both points lie on a line passing through the origin is 48.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Since both points lie on a line which passes through the origin, we can logically deduce the following points:

Point (x, y) = (0, 0)

Substituting the given points into the formula, we have;

Slope, m = Δy/Δx

Slope, m = (-2 - 0)/(-12 - 0)

Slope, m = -2/-12

Slope, m = 1/6

At point (-12, -2) and (k, 8), we have:

1/6 = (8 - (-2))/(k - (-12))

1/6 = (8 + 2)/(k + 12)

1/6 = 10/(k + 12)

k + 12 = 10(6)

k + 12 = 60

k = 60 - 12

k = 48

Read more on slope here: brainly.com/question/3493733

#SPJ1

Given the following Information, find the length of the missing side. Leave your answer as a simplified radical.
Hypotenuse = 10
Long = ?

A. 5
B. 5/3
C. 10
D. 10/3

Answers

Answer: B. (5√3)

Step-by-step explanation: In a 60-30-90 triangle, the hypotenuse is 2x, and the long is x√3. Solve for x by setting 2x=10, which you would get 5. Then, you can plug 5 for x in x√3 to get 5√3.

HELP ASAP 30 POINTS 9TH GRADE MATH. WILL GIVE BRAINIEST IF CORRECT

Solve.
Question 1.

-4x + 17 ≥ 9.

Question 2.

| 5 + z | + 3 = 10.

Question 3.
Match to the correct one

5y + 2 = 5y + 8. 1. All real numbers
2 (y + 4) = 2y + 8. 2. No solutions
5y + 2 = 2y + 8 3. Infinity many solutions.

Question 4.

Solve for x.

x - 4 ≥ 5. SHOW YOUR WORK.

question 5.
solve for x.
12x = 4 (2x -3) - 12.

SHOW YOUR WORK.

Question 7.
Solve for x
3(x + 2) = 3x + 2

Answers

For the given problems we have:

1) The solution of the inequality is:

x ≤ 2

2) The absolute value equation has two solutions:

z= 2

z = -12

3) The correct matches are:

5y + 2 = 5y + 8   this has no solutions2*(y + 4) = 2y + 8   this has infinite solutions5y + 2 = 2y + 8  This has a single solution.

How to solve the different operations?

Remember that solving means to isolate the variable in one side of the expression.

1) We have the inequality:

-4x + 17 ≥ 9

-4x  ≥ 9 - 17

x ≤ -8/-4

x ≤ 2

This is the solution of the inequality.

2) We have the absolute value function:

|5 + z| + 3 = 10

|5 + z| = 10 - 3 = 7

We can decompose this into:

5 + z = 7

5 + z = -7

Then the two solutions are:

z = 7 - 5 = 2

z = -7 - 5 = -12

3) The correct matches here are:

5y + 2 = 5y + 8   this has no solutions, these are parallel lines.2*(y + 4) = 2y + 8   this has infinite solutions (all real numbers).5y + 2 = 2y + 8  This has a single solution.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Is it right?????????

Answers

Check the picture below.

let's bear in mind that the standard deviation measures deviation in a dataset, so is a measure of how much the data fluctuates, so a dataset of 3 , 1000, will have a much higher deviation value than a same total of 450 , 553.

Help me answer this please!!!

Answers

Answer:2 choice

Step-by-step explanation:you use the rise over run technique with 2 points, it should give you rise 1 run 4 since the line is decreasing its a negative. For the y-int its the point where the line crosses Y int which is (0,-2) answer is -2

Find the sum of the first 31 terms of the following series, to the nearest integer. 4, 11,18,... 4,11,18,...

Answers

The sum of the first 31 terms of the arithmetic series is 114.

What is arithmetic series?

In mathematics, arithmetic series is the sequence of the number whose common difference between the two consecutive number is always constant. And the sum of the series is depend on the first term as well as on the last term.

According to the question, the given series is an arithmetic series. In the common difference is same.

The given series is:

4, 11, 18,....4, 11, 18,....4, 11, 18,....

To know the sum of the given series, first calculate the sum of the first three numbers. And later multiply by ten.

Using standard formula for the sum of the arithmetic series:

[tex]S_{3} =\frac{(first term + last term)}{2} = \frac{4+18}{2} =11[/tex]

Therefore to calculate the sum of the 31 terms:

s(31 terms) = 10(11) + first term = 110 + 4 = 114

Hence, the sum of the first 31 terms of the arithmetic series is 114.

To learn more about the arithmetic series from the given link:

https://brainly.com/question/24295771

#SPJ9

A garden table and a bench cost $830 combined. The garden table costs $80 more than the bench. What is the cost of the bench?

Answers

The most appropriate choice for linear equation will be given by-

The cost of bench is $375

What is linear equation?

A one degree equation is called a linear equation.

Here,

Let the cost of the bench be $x

cost of garden table = $(x + 80)

Total cost of bench and garden table= $(x + x + 80)

                                                              = $(2x + 80)

By the problem,

                           2x + 80 = 830

                            2x = 830 - 80

                             2x = 750

                                x = [tex]\frac{750}{2}[/tex]

                                x  = $375
So,

The cost of bench is $375

To learn more about linear equation, refer to the link brainly.com/question/2030026

#SPJ9


30% of 3000
I know how to do it but I just need to be sure

Answers

The answer is 900 hope this helps

Answer:900

Step-by-step explanation: 1. set up an equation

x= (p * n)/100 when x= the answer p= the percentage and n= the total number

2. plug in the numbers

x= (30 * 3000)/100

3.solve

x= (30*3000)/100

x= (90000)/100

x= 900

Other Questions
a trademark is business information that represents something of economic value, has required effort or cost to develop, has some degree of uniqueness or novelty, is generally unknown to the public, and is kept confidential. A group of friends decided to buy bulk chocolate from a candy store. If some friendseach want 1/7 of a kilogram of chocolate of the 10 kilograms of chocolatepurchased, then how many people can get a share of chocolate? What else should i add to my suspense story? Molly was on a morning run listening to music, going through a forest trail and was violently grabbed from behind and thrown into the trees. She didn't know what to do but sit there and shake. When she turned around no one was there. She tried contacting her best friend but there was no response. It was midnight and she suddenly felt a rush of wind over her body. Whos there she said. There was no response. She decided to scream for help because at the moment that was all she could think of to do. When she screamed she heard and low pitch voice saying Come to me. I can save you. She was to scared to move. Write 5-7 sentences why or why not Nancy Morgan hart should or should not be accountable bromomethane, chbr, is a very useful fumigant against a wide range of agricultural pests, from insects to the verticillium wilt fungus. draw the lewis structure of chbr. Margie has 15 feet of ribbon. It takes 7/8 of a foot of ribbon to make a bow for a bouquet. How many bows can Margie make with her ribbon? find the sum of 6 terms in the sequence 3,6,12, ... identify 5/6 as irational number other things remaining equal, the present value of a future cash flow decreases if the discount rate increases. other things remaining equal, the present value of a future cash flow increases if the discount rate increases. A carpenter has a 15 foot ladder. For safety, the bottom of his ladder must be placed 5 feet from the wall. In order to complete his work, the ladder must reach 14.5 feet up the wall. Under these conditions, can the carpenter complete his work? Rounded to the nearest tenth, how far up the wall does the ladder reach? The yearly profits of a company is $25,000. The profits have been decreasing by 6% per year.a. What is the initial value? $ b. What is the decay factor? c. What will be the profits in 8 years? Round your answer to the nearest dollar the ratio of the number of miles run to the number of miles biked is equavlent for each row in the table which equation represents the lines through (2, -4) and (0, 4)? HELP thanks and 5 stars to the best answer. Enter the value of the smiley face? Please help :(((Question 1(Multiple Choice Worth 2 points)(Proportional Relationships MC)Determine if the table shows a proportional relationship.Time (hours) 0 6 12 18 24Pay (dollars) 0 72 144 216 288 Yes, it is proportional because the ratios for dollars per hour are all equivalent to 12 dollars per hour. Yes, it is proportional because the ratios for dollars per hour are all equivalent to 13 dollars per hour. No, it is not proportional because 72 over 6 does not equal 216 over 18. No, it is not proportional because 216 over 18 does not equal 288 over 24.Question 2(Multiple Choice Worth 2 points)(Proportional Relationships MC)The graph of a proportional relationship is shown.graph of a line beginning at point 0 comma 0 and continuing to the right going through points 5 comma 700 and 6 comma 840 and 7 comma 980Create a table from the graph.x 1 2 3y 140 280 420x 14 28 42y 1 2 3x 1 2 3y 14 28 42x 140 280 420y 1 2 3Question 3(Multiple Choice Worth 2 points)(Proportional Relationships MC)Three different recipes each make a different number of cookies and require a different amount of flour.Recipe 1: 2 dozen cookies; 1.5 cups of flourRecipe 2: 3 dozen cookies; 3 cups of flourRecipe 3: 4 dozen cookies; 4.5 cups of flourDetermine if the three recipes use a proportional amount of flour. Yes, it is proportional because the cookies increase by 1 dozen for every 1.5 cups of flour. Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent. No, it is not proportional because the number of cookies and cups of flour could not be zero at the same time. No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.Question 4(Multiple Choice Worth 2 points)(Proportional Relationships MC)Determine if the table shows a proportional relationship.x 36.5 23.2 63.3y 18.25 11.6 21.1 Yes, it is proportional because the ratios for y over x are all equivalent to one half. Yes, it is proportional because the ratios for y over x are all equivalent to one third. No, it is not proportional because 18.25 over 36.5 is not equal to 23.2 over 11.6. No, it is not proportional because 18.25 over 36.5 is not equal to 21.1 over 63.3.Question 5(Multiple Choice Worth 2 points)(Proportional Relationships LC)Determine if the graph shows a proportional relationship.Graph with x axis labeled distance miles and y axis labeled time hours. A line begins at point 0 comma 0 and continues to the right. No, it is not proportional because the line does not intersect with the origin. No, it is not proportional because the x-axis and y-axis are not labeled correctly. Yes, it is proportional because it is a line that intersects with the origin. Yes, it is proportional because the x-axis and y-axis are labeled correctly.Question 6(Multiple Choice Worth 2 points)(Proportional Relationships MC)The table shows a proportional relationship.Workout (hours) 1 2 3Calories Burned 190 380 570Create a description in words for the table. The number of calories burned is dependent on the number of hours working out. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned. The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned. The number of hours working out is dependent on the number of calories burned. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned. The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned.Question 7(Multiple Choice Worth 2 points)(Proportional Relationships MC)A group of hikers tracked how long it took to hike a 15-mile trail. They hiked 3.5 miles in 2 hours, 8.75 miles in 5 hours, and 12.25 miles in 7 hours.Determine if the relationship between the hikers' distance and time is proportional. Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.75 miles per hour. Yes, it is proportional because the ratios for miles per hour are all equivalent to 0.6 miles per hour. No, it is not proportional because 3.5 miles in 2 hours is not equivalent to 8.75 miles in 5 hours. No, it is not proportional because 8.75 miles in 5 hours is not equivalent to 12.25 miles in 7 hours. plsssss help meeeeeeeeeeeeeee Manuela is making a banner for a school dance. She makes one angle 116. What should she make the measures of angles B and D so that the banner is a parallelogram?64116128244 Maran is selling candy apples at a fund-raiser for a charity. She made 160 candy apples and spent $120 on ingredients and supplies. She sold all the candy apples for $480.Select TWO statements that are true.A.Maran spent $3 on each candy apple.B.Maran spent $0.75 on each candy apple.C.Maran sold each candy apple for $4.D.Maran earned a profit of $3 on each candy apple sold.E.Maran sold each candy apple for $3. Coast Redwoods have been known to reach this size and age: A. 50 feet tall; 10 feet diameter at breast height (DBH), and 200 years oldB. 380 feet tall; 30 feet diameter at breast height (DBH), and over 2,500 years oldC. 10 feet tall; 40 feet DBH, and 300 years old What are the major macromolecules?