7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)

Answer:

65 seats

Step-by-step explanation:

1. Approach

To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).

2.Find the rate at which seats are added

One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,

(3, 31), (6, 37)

Where (x) is the row number and (y) is the number of seats.

To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,

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

Substitute in the given information and solve for the rate of change,

[tex]\frac{37-31}{6-3}[/tex]

Simplify,

[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]

Seats are added at a rate of (2) seats per row.

3. Find the equation

The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,

[tex]y=mx+b[/tex]

Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,

[tex]y=2x+b[/tex]

One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,

[tex](31)=2(3)+b[/tex]

Simplify,

[tex]31 = 6+b[/tex]

Inverse operations,

[tex]31=6+b\\25=b[/tex]

Substitute this into the equation to complete the equation,

[tex]y=2x+25[/tex]

4.Find how many seats are in the row (20)

Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.

[tex]y=2x+25[/tex]

[tex]y=2(20)+25[/tex]

Simplify,

[tex]y=2(20)+25\\y=40+25\\y=65[/tex]

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is

v= 4/3πr³

the radius is given as 7, so the volume is 4/3 × π × 7³

v= 4/3 × π × 343

  = 1436.76 cm³

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

Answer:

I am not the best in this type of math, the best thing I can do is help you.

You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.

I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.  

Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.

Have a good day.

Answer:

12 grams

Step-by-step explanation:

15/5 = 3 half lives

(1/2)³ = 1/8 of the original amount will remain

96 * 1/8 = 12 grams

Answer:

Step-by-step explanation:

Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.

I.e.

mass at time t, m(t) = M (1 - r)^(t/h)

where

M = initial mass (grams)

m (t) mass left at time t (grams)

h = half-life in number of days

r = 0.5 from "half-life"

t = time lapse in number of days

Here

M = 96

h = 5

t = 15

m(15) = 96(1-0.5)^(15/5)

= 96 (1/2)^3

= 12 grams

Answer:

140.3 ft³

Step-by-step explanation:

Volume of cylinder = πr²h

                                = π x 1.5² x 4

                                = 28.3 ft³

P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft

Volume of cuboid = lwh

                              = 7 x 4 x 4

                              = 112 ft³

Total volume = 112 + 28.3 = 140.3

Hope this helps!

Answer:

[tex]Each = \frac{15}{128}[/tex]

Step-by-step explanation:

Given

See attachment for line plot

Required

Determine the total trash picked

The data on the line plot can be represented as:

[tex]Trash \to Schools[/tex]

[tex]\frac{1}{8} \to 6[/tex]

[tex]\frac{1}{4} \to 8[/tex]

[tex]\frac{1}{2} \to 2[/tex]

[tex]1 \to 0[/tex]

The total trash picked is:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 8 + \frac{1}{2} * 2 + 1 * 0[/tex]

[tex]Total = \frac{3}{4} + \frac{8}{4} + 1+0[/tex]

Take LCM

[tex]Total = \frac{3+8+4+0}{4}[/tex]

[tex]Total = \frac{15}{4}[/tex]

The total picked by each school is:

[tex]Each = \frac{Total}{32}[/tex]

[tex]Each = \frac{15/4}{32}[/tex]

Rewrite as:

[tex]Each = \frac{15}{4*32}[/tex]

[tex]Each = \frac{15}{128}[/tex]

Answer:

Angle 1 and Angle 2

Step-by-step explanation:

Adjacent supplement angles are a pair of angles that have a sum of 180 degrees and are adjacent to each other

Answer:

not sure look at the image please

Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

Answer:

Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

got it right on the quiz!!!

Answer:

if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)

where n is the number of term.

the 4th term is 125

if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)

where n is the number of term

the 4th term is 75

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the concept of similar shapes to solve this problem.

Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.

Now,

The first container has a height of h1 and can hold v1 units of liquid.

Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.

So,

h2/h1 = (volume of container 2) / (volume of container 1)

Solving for the volume of container 2.

(volume of container 2) = (h2/h1) x (volume of container 1)

Substituting the given values, we get:

(volume of container 2) = (h2/3) x (1000)

where we have converted 1 liter to 1000 cubic centimeters.

Simplifying this expression.

(volume of container 2) = (1000/3) x h2

Therefore,

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

1

Step-by-step explanation:

{36 ÷ (-9)} ÷ {(-24) ÷ 6}

= (-4) ÷ (-4)

= 1

Answer:

1

Step-by-step explanation:

{36 ÷(-9)} ÷ {(-24) ÷ 6)

{36 ÷ -9} ÷ {-24 ÷ 6}

(-4) ÷ (-4)

1

using BODMAS rule (Bracket 0f Division , Multiplication and Addition , Subtraction)

Rule

first small bracket (    )    must be solved

then curly bracket {     }

then only big bracket [       ]

remebere while dividing -4 and -4 along with the numbers - signs also gets cancel. So ur answer is positive.

Answer:

The 4th option

Answer:

pendrive, memory, chip

Answer:

d. x9 + x3 – 10 = 0

Answer:

447 ft

Step-by-step explanation:

Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447

Answer:

18 and if I round it off to the nearest tenth it will be 20

just so you know I'm not that good at maths

Answer:

50

Step-by-step explanation:

When given the following equation, and information,

7m - 6

m = 8

One must substitute the value of (m) into the equaiton. Then simplify and solve to evaluate the equation,

7m - 6

7(8) - 6

56 - 6

50

Answer:

50

Step-by-step explanation:

7m-6

Let m= 8

7(8) -6

Multiply first

56-6

Then subtract

50

Given:

Darcy harvests [tex]8\dfrac{3}{4}[/tex] acres of corn every [tex]\dfrac{5}{6}[/tex] of an hour.

Darcy harvests corn at a constant rate.

To find:

How many acres does she harvest per hour?

Solution:

We have,

Acres harvest in [tex]\dfrac{5}{6}[/tex] of an hours = [tex]8\dfrac{3}{4}[/tex]

Acres harvest in 1 hour = [tex]8\dfrac{3}{4}\times \dfrac{6}{5}[/tex]

                                      = [tex]\dfrac{32+3}{4}\times \dfrac{6}{5}[/tex]

                                      = [tex]\dfrac{35}{4}\times \dfrac{6}{5}[/tex]

Cancel out the common factors, we get

Acres harvest in 1 hour = [tex]\dfrac{7}{2}\times \dfrac{3}{1}[/tex]

                                      = [tex]\dfrac{21}{2}[/tex]

                                      = [tex]10\dfrac{1}{2}[/tex]

Therefore, she can harvest [tex]10\dfrac{1}{2}[/tex] acres of corn per hour.

Answer:

Top right

Step-by-step explanation:

I did it before

Answer:

TOP RIGHT

Step-by-step explanation:

:)

Answer:

8.481 ft² .      I don't know if this is simplest form or not, but hopefully it is.

Step-by-step explanation:

How im going to do it is crafty, if i get it wrong im sorry.

Area circle = πr²

Area circle = 3.14 * 9 ≈ 28.27

28.27 / 360 = 0.07852777777

0.07852.777777 x 108 = 8.481

Answer = 8.481 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x = 51, y = 17

Step-by-step explanation:

Consecutive angles sum to 180° , so

x + 129 = 180 ( subtract 129 from both sides )

x = 51

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

Opposite angles are congruent, so

3y = x = 51 ( divide both sides by 3 )

y = 17

Step-by-step explanation:

x + 129° = 180°

x = 180°- 129°

x = 51°

3y + 129° = 180°

3y = 180° - 129°

3y = 51°

y = 51°/3

y = 17°

Answer:

c = 4.5π inches   exact answer

c = 14.13 inches   decimal approximation

Step-by-step explanation:

c = πd

c = 4.5π    exact answer

using 3.14 for π

c = 3.14 * 4.5

c = 14.13    decimal approximation