What is the value of x in the equation 2(x+3) = 4(x-1)?
O 1
02
0 3
O 5

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40

Answer:

0.9266

Step-by-step explanation:

Given the data:

Shoe size x :

8.5

9

9

9.5

10

10

10.5

10.5

11

11

11

12

12

12.5

Height y :

66

68.5

67.5

70

70

72

71.5

70

71

71.5

73

73.5

74

74

The correlation Coefficient obtained from the online Coefficient of regression calculator is 0.9266 which depicts a strong positive relationship between shoe size and height

The correlation coefficient for the data is 0.93 and this can be determined by using the formula of the correlation coefficient.

Given :

The table shows data collected from 14 people.

A statistical measure of the strength of the relative movement between two variables is known as the correlation coefficient.

The formula of the correlation coefficient is given by:

[tex]\rm r = \dfrac{\sum (x_i-\bar{x})(y_i-\bar{y})}{\sqrt{\sum(x_i-\bar{x})^2\sum(y_i-\bar{y})^2} }[/tex]

where r is the correlation coefficient, [tex]\bar{x}[/tex] is the mean of the values of the x variable, [tex]x_i[/tex] values of the x-variable in the sample space, [tex]y_i[/tex] values of the y-variable in a sample space, and [tex]\bar{y}[/tex] is the mean of the values of the y-variable.

Now, from the attached table substitute the values of the known terms in the above formula.

[tex]\rm r = \dfrac{35.4464286}{\sqrt{(19.23214289)\times (76.08928571)} }[/tex]

Simplify the above expression.

[tex]\rm r = \dfrac{35.4464286}{38.25388889} }[/tex]

r = 0.93

So, the correlation coefficient for the data is 0.93.

For more information, refer to the link given below:

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Answer:

J(7,4)

W(7,2)

U(3,1)

L(3,5)

Answer:

what

Step-by-step explanation:

Answer:

[tex]Slope = 1[/tex]

It represents: The number of tents made in an hour

Step-by-step explanation:

Given

X=0,1,2,3,4,5,6,7,8

Y=6,7,8,9,10,11,12,13,14

Required

Determine the slope

The slope is calculated as:

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Pick any two corresponding values of x and y

[tex](x_1,y_1) = (0,6)[/tex]

[tex](x_1,y_1) = (8,14)[/tex]

[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Slope = \frac{14 - 6}{8 - 0}[/tex]

[tex]Slope = \frac{8}{8}[/tex]

[tex]Slope = 1[/tex]

It represents: The number of tents made in an hour

Answer:

$90.96

Step-by-step explanation:

Answer:

point

Step-by-step explanation:

Answer:

90 degree angle

Step-by-step explanation:

Answer:

Scott will take 221 minutes to run 52 km

Step-by-step explanation:

Speed

The speed of an object can be calculated with the formula:

[tex]\displaystyle v=\frac{d}{t}[/tex]

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

[tex]\displaystyle v=\frac{20}{85}\ km/min[/tex]

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

[tex]\displaystyle t=\frac{d}{v}[/tex]

Since the speed has been already determined:

[tex]\displaystyle t=\frac{52}{\frac{20}{85}}[/tex]

Multiplying by the reciprocal of the denominator:

[tex]\displaystyle t=52*\frac{85}{20}[/tex]

t = 221 min

Scott will take 221 minutes to run 52 km

Answer:

221 min

Step-by-step explanation:

eligible on khan academy

Step-by-step explanation:

Triangles ABC and DEF are congruent.

The letter B is the 2nd letter in 'ABC'.

Likewise, the letter E is the 2nd letter in 'DEF'.

Therefore Angle B = Angle E.

Answer:

Im a little confused what this question is asking, but the number in billions is simply 89.61416 if the original number is in thousands! Hope that helps and if that was not what you were looking for, let me know. :)

Step-by-step explanation:

Answer:

It is estimated that the population of the world reached one billion for the first time in 1804. It was another 123 years before it reached two billion in 1927, but it took only 33 years to rise by another billion people, reaching three billion in 1960.

Answer:

You look very nice!

Step-by-step explanation:

it matters what you look like to yourself not how you look to others!

Answer: C.693

Step-by-step explanation:

Answer:

Step-by-step explanation:

Contribution by each:

Equal contribution is:

Returned by first and second person:

Ratio of returned amount:

Answer:

irrational

Step-by-step explanation:

Answer:

Carl

Step-by-step explanation:

There are 52 weeks in a year, and Carl reads 3 books a week, so he reads 3*52= 156 books a year. There are 12 months in a year, and Rose reads 6 books a month, so Rose reads 6*12=72 books a year. Carl reads the most books

Answer: -18

Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18

Answer:

It’s B brotha

Step-by-step explanation:

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

Explanation:

For any triangle, the interior angles always add to 180

(angle1)+(angle2)+(angle3) = 180

(w) + (4w-6) + (w) = 180

(w+4w+w) - 6 = 180

6w - 6 = 180

6w - 6+6 = 180+6 .... adding 6 to both sides

6w = 186

6w/6 = 186/6 ..... divide both sides by 6

w = 31

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

Extra info:

This value of w leads to

4w-6 = 4*31-6 = 118

The three angles of the triangle are: 31, 118, 31

Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.

Answer:

The answer is point C

Step-by-step explanation:

to make it easier to solve, think of it this way, point c and a are on the same "line",and point A is on the line under pi over 6. We know that pi over 12 is less than pi over 6, so that could potentially be the line that both points are on if that makes sense. We can also see that the real axis has the value of pi, and that point C is the value less than that. Also, point C is in the direction of where the negative "x values" would be

Answer:

B. is the right answer

Step-by-step explanation:

[tex]x = - 6 \\ y = \frac{\pi}{12} \\ ( - 6,\frac{\pi}{12} )[/tex]

Answer:

composite

Step-by-step explanation:

Answer:

50 is composite

Step-by-step explanation:

it is even:)

Answer: 23.20 dollars

Cost for 1 shirt = $14.63

Cost for 1 visor = $8.57

Total = 14.63+8.57 = 23.20

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

Explanation:

s = cost of 1 shirt

v = cost of 1 visor

costs are in dollars

There are 43 players and 2 coaches that get a shirt. There are 43+2 = 45 people total that get a shirt. The amount of money spent on all the shirts is 45s because we multiply the number of people (45) with the cost per shirt (which is s). Set this equal to 658.35 and solve for s

45s = 658.35

s = 658.35/45

s = 14.63

Each shirt costs $14.63, and this is the amount each player should pay.

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

Kenny is also ordering 43 visors. The total cost here is 368.51 dollars. This means the equation we need to solve is 43v = 368.51

Divide both sides by 43 to isolate v

43v = 368.51

v = 368.51/43

v = 8.57

Each visor costs $8.57, and this is the amount each player should pay.

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

Add up the two costs we found and we get 14.63+8.57 = 23.20, which is the total cost each player must pay for both a shirt and a visor.

Answer:

48 ways

Step-by-step explanation:

Given

[tex]Girls = \{Ava, Cara, Emma, Lily, Mia\}[/tex]

[tex]Together= \{Emma, Lily\}[/tex]

Required

Determine the number of sitting arrangements

The number of girls are 5, of which 2 must be seated together.

First, Emma and Lily can be arranged in 2! ways

Next, we consider Emma and Lily as one, so there are (5 - 1) girls left to be arranged.

This can be done in (5 - 1)! ways

Total number of ways is then calculated as:

[tex]Ways = 2! * (5 - 1)![/tex]

[tex]Ways = 2! * 4![/tex]

[tex]Ways = 2 * 1 * 4 * 3 *2 * 1[/tex]

[tex]Ways = 48[/tex]

Hence, there are 48 ways

The possible ways in which Ava, Cara, Emma, Lily, and Mia are to be seated together in a row, while Emma and Lily sit next to each other are 48 ways.

Given to us;

Number of girls = {Ava, Cara, Emma, Lily, and Mia} = 5 girls,

Also, Emma and Lily must sit next to each other, therefore, considering them as a single person,

The choices we are left with = {Ava, Cara, Mia, (Emma, Lily)} = 4 person;

We know to calculate the number of ways people can sit is given by n! (n factorial), where n is the number of person. Thus,

different ways this 4 person can sit = n!

                                                           = 4!

                                                           = 4 x 3 x 2 x 1

                                                           = 24 ways

Further, as given in the question Emma and Lilly must sit together but they can change sits within themselves, So,

different ways Emma and Lilly can sit = n!

                                                              = 2!

                                                              = 2 x 1

                                                              = 2 ways

Therefore, the total number of ways all 5 girls can sit together in which Emma and Lilly will be always seated together,

Total ways all can sit together = 24 x 2

                                                  = 48 ways

Hence, the possible ways in which Ava, Cara, Emma, Lily, and Mia are to be seated together in a row, while Emma and Lily sit next to each other are 48 ways.

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Answer: 1,107 divided by 41

Step-by-step explanation:

Which expression is NOT equal to 28? A. 1,288 ÷ 46 B. 1,820 ÷ 65 C. 1,456 ÷ 52 D. 1,107 ÷ 41

D is correct.

Answer:

-5

Step-by-step explanation:

coefficient of b is -5

Answer:

A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.

dH/dt = the rate of change of the height of the water in the tank with respect to the time

B) dV/dt is positive

C) dH/dt is positive

Step-by-step explanation:

We are given that;

V(t) is the volume of water in the tank and H(t) is the height of the water level at time t. Thus;

A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.

dH/dt = the rate of change of the height of the water in the tank with respect to the time

B) When the tank is one-fourth full, dV/dt is positive because the volume water in the tank is increasing with time.

C) when the tank is one-fourth full, dH/dt is positive because the height has increased from zero level to 0.25 times the height of the tank. Thus the height is increasing with time.

Answer:

Cheerleader :))

Step-by-step explanation: