What is the domain of the relation? ​

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

-14 + 1 = rt + -4n

Combine like terms: -14 + 1 = -13

-13 = rt + -4n

Reorder the terms:

-13 = -4n + rt

Solving

-13 = -4n + rt

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.

-13 + 4n = -4n + 4n + rt

Combine like terms: -4n + 4n = 0

-13 + 4n = 0 + rt

-13 + 4n = rt

Add '13' to each side of the equation.

-13 + 13 + 4n = 13 + rt

Combine like terms: -13 + 13 = 0

0 + 4n = 13 + rt

4n = 13 + rt

Divide each side by '4'.

n = 3.25 + 0.25rt

Simplifying

n = 3.25 + 0.25rt

Answer:

n = [tex]\frac{rt-q}{-10}[/tex]

Step-by-step explanation:

your equation is -14n+q = rt-4n

subtract q from both sides: -14n = rt - 4n - q

add 4n to both sides: -10n = rt - q

divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]

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

Explanation:

Let's complete the square

y = x^2 + 8x

y + 16 = x^2 + 8x + 16 .... adding 16 to both sides

y + 16 = (x+4)^2

y = 1(x+4)^2 - 16

We added 16 to both sides to allow the right hand side to factor into a perfect square.

The last line shown above is in the form y = a(x - h)^2 + k where

a = 1

h = -4

k = -16

Note the positive 'a' value indicates we have a minimum.

The vertex is (h,k) = (-4, -16)

The lowest y value possible is at the vertex.

So the smallest y value is y = -16.

This means the smallest possible value of x^2+8x is -16.

Answer: 4.5

Step-by-step explanation:

Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.

Answer:

$4942

Step-by-step explanation:

a.A day accommodation=$706

7 days accommodation=$706x7days

Answer=$4942

b

Answer:

three ( Long Count, Tzolkin, Haab )

Step-by-step explanation:

Answer:

Slope of the line = 2

Step-by-step explanation:

Slope of a line through two points lying on the line [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

From the figure attached,

Given line is passing through two points (0, 1) and (1, 3).

Therefore, slope of the line will be,

Slope = [tex]\frac{3-1}{1-0}[/tex]

          = 2

The slope of the line given in the graph is -0.5.and this can be determined by using the point-slope form and slope-intercept form.

Given :

To determine the slope of the line, the point-slope form can be used. The point-slope form is given by:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Now, put the values of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation.

[tex]\dfrac{y-1}{x-0}=\dfrac{0-1}{0.5-0}[/tex]

0.5(y - 1) = -x

[tex]y = -\dfrac{1}{2}x +1[/tex]

Now, compare equation (1) with the slope-intercept form of the line.

m = -0.5

c = 1

So, the slope of the line is -0.5.

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Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =[tex]\mu = 500[/tex]

Standard deviation = [tex]\sigma = 100[/tex]

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

At x = 450

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Answer:

The value of 5 is fifty thousand (50,000)

Step-by-step explanation:

8.156 million = 8,156,000

hope this helps!

The value of 5 is 50, 000.

In mathematics, place value refers to the relative importance of each digit in a number. These locations begin at the unit's location (ones place). The place values of a number's digits are expressed in the following order: ones/units, tens, hundreds, thousands, ten thousands, and so on.

Given:

The population of London is currently estimated at 8.156 million.

Expanding 8.156 million.

= 8.156,000

Here the place value of 5 is ten thousand.

Hence, the value of 5 is 50, 000.

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Answer:

216

Step-by-step explanation:

12 plus 6 is 18. 18 times 12 is 216

Answer:

216

Step-by-step explanation:

12 + 6 = 18

18 x 12 = 216

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

"The question is not complete, here is the complete question

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.

Find the linear speed of the bicycle in in/min (correct to at least two decimal places)  

How fast is the bike moving in mph (to two decimal places)?"

Step one:

given data

the diameter of wheels= 18 inches

radius of front sprocket=6 inches

radius of rear sprocket= 3 inches

The cyclist pedals at 180 rpm

The chains move at the same speed, hence

the rear sprocket must make 6/3 revolutions for every one revolution made by the front sprocket

when the rider moves the front sprocket through 180 revs/min

the rear sprocket moves through 180 (6/3)  = 360 revs/min

the linear speed of the bicycle in inches per minute  =

 2π * 9 * 360   = about 20360.16  in/min

The speed in mph

=2π * 9 * 360 * 60 minutes in 1 hr /63360 in/ mile  

=19.28 mph

Answer:

3

Step-by-step explanation:

Answer:

9 boys 9 girls

Step-by-step explanation:

18 = 2x

9

Answer:

given, y≥2x+1 and

y>

2

1

x−1

first, draw the graph for equations y=2x+1 and y=

2

1

x−1

for y=2x+1

substitute y=0 we get, 2x+1=0⟹x=−0.5

substitute x=0 we get, y=1

therefore, y=2x+1 line passes through (0.5,0) and (0,1) as shown in fig.

Hence, y≥2x+1 includes the region above the line.

for y=

2

1

x−1

substitute y=0 we get,

2

1

x−1=0⟹x=2

substitute x=0 we get, y=−1

therefore, y=2x+1 line passes through (2,0) and (0,-1) as shown in fig.

Hence, y>

2

1

x−1 includes the region above the line.

the intersection region is the shaded region as shown in above figure which includes I, II and III quadrants.

Therefore, quadrant IV has no solution please make as brainlelist

Answer:

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. To find the area of a rectangle, multiply the length by the width.

A rectangle with four sides of equal length is a square.

Following image represents the area of a rectangle.

A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The perimeter can be used to calculate the length of fence required to surround a yard or garden. Following image represents the perimeter of a rectangle.

Step-by-step explanation:

Sorry if this is wrong.

I have no idea if this is right but i tried.

Sorry im dumb.

If its right Yw.

:)

Answer:

Part A:  2(4x)+2(y)+2(2) and 2(4x+y+2)

Part B:  #2 and #4

Step-by-step explanation:

Part B:

- #2:     4 x 3 is 12 and 4 x 6 is 24

- #3:      2 x 6 is 12 and 6 x 4 is 24

Bothe are the same.

Answer:

Answer : 28p + 14q + 21r

The word distributive property is a rule or method that states that every term inside grouping symbols may be multiplied by a term outside grouping symbols to yield the equivalent expression.

Here is the formula for this question

a(b+c) = ab + ac

7(4p+2q+3r)

=28p + 14q + 21r

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Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.

Thus, ∆ABC ~ ∆EFG. Therefore:

[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]

AB = 12 + 3 = 15

EF = 12

AC = x + 4

EG = x

Plug in the values into the equation

[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]

Cross multiply

[tex] (15)(x) = (x + 4)(12) [/tex]

[tex] 15x = 12x + 48 [/tex]

Subtract 12x from each side

[tex] 15x - 12x = 48 [/tex]

[tex] 3x = 48 [/tex]

[tex] x = \frac{48}{3} [/tex]

[tex] x = 16 [/tex]

Answer:

480 students

Step-by-step explanation:

600 x .80

Answer:

500

Step-by-step explanation:

20%x = 100

x = 100 * 100/20

x = 100 * 5

x = 500

Hope this helped!

Answer:

  There are 2 nickels and 6 dimes.

Step-by-step explanation:

Nickels:  x

 Dimes:  y

Constraints:

  0.05x + 0.10y = 0.70

   x + y = 8                   ===>  -0.05 * (x + y = 8)  ===>   -0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

  0.05x + 0.10y = 0.70

 -0.05x - 0.05y = -0.4

_________________

                0.05y = 0.3         ===>    y = 6

Substitution to find x:

  x + y = 8

  x + 6 = 8

  x = 2

There are 2 nickels and 6 dimes.

There are 2 nickels and 6 dimes.

Two or more expressions with an Equal sign is called as Equation.

Given,

Aaron has $0.70 worth of nickels and dimes.

total of 8 nickels and dimes altogether

We need to find the number of nickels and number of Dimes

Let Nickels be x and  Dimes be y

By given conditions

0.05x + 0.10y = 0.70

x + y = 8-0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

0.05x + 0.10y -0.05x - 0.05y = 0.70 -0.4

0.05y = 0.3

Divide both sides by 0.05

y = 6

Substitution to find x:

x + y = 8

x + 6 = 8

x = 2

Hence, there are 2 nickels and 6 dimes.

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Answer:

33.33

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

2x+3x=100x

Combine like terms:

2x+3x=5x

5x=100

Divide by 5 on both sides:

5x/5=100/5x

x=20

Answer:

I got A, B, D

Step-by-step explanation:

Answer:17

Step-by-step explanation: You just follow the steps.

Answer: Kaitlin earned $312 this month.

Step-by-step explanation:

since it says $16 per hour and she has tutored for 19.5 hours you just simply multiply the two to get your answer because it wants to know how much she earned this month.

9514 1404 393

Answer:

  B.  45.8 cm

Step-by-step explanation:

The Pythagorean theorem is helpful. For legs a, b, and hypotenuse c, it tells you ...

  c² = a² +b²

  50² = 20² +b²

  b² = 2500 -400 = 2100

  b = √2100 ≈ 45.8

The length of the other leg is about 45.8 cm.