Sort the following numbers into the correct category:

If you do this I will do the following: Like, Friend you, (if you want me to.) give you the brainiest, (when two people answers then I will be able to pick the best one.) and I believe that is all! Please do this and if you do not do it correctly like I wanted it and yes, I do want it to be actually “CORRECT.” So please help me complete this.And once you have done this I will say, “Thank you for your help!” :)

1. The balloon's average rate of descent is 19 meters per second.

2. The average rate of change of price of one share is $7.896.

3. 0.5 and 0.4286

1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:

= 95 meters / 5 seconds

= 19 meters per seconds.

2. Price of shares = $39.48

Number of days = 5 days

The average rate of change of price of one share will be:

= 39.48 / 5

= $7.896

3. The decimal value of 1/2 is 0.5.

Also, the decimal of 3/7 will be 0.4286.

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The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

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Answer:

X = 6

Step-by-step explanation:

6-6X = 7X -9X -18  Combine 7x -9x

6 - 6x = -2x -18  Add 6x to both sides of the equation

6 = 4x - 18  Add 18 to both sides of the equation

24 = 4x  Divide both sides by 4

6 = x

Check:

6-6X = 7X -9X -18

6 - 6(6) = 7(6) -9(6) -18

6 - 36 = 42 - 54 -18

-30 = 1-12-18

-30 =-30

Answer:

y = 8

Step-by-step explanation:

A horizontal line will have the form y = k where k is a constant and determines the distance from the x axis. All points on this line will have a constant y value for all x values

Since the line passes through (4,8) we have y = 8 as the equation for the line

Answer: 100  scores

Step-by-step explanation:

Let the number of points on your fifth test be x

Hence,

[tex]\displaystyle\\\frac{59+80+65+96+x}{5}=80\\[/tex]

Multiply both parts of the equation by 5:

300+x=80*5

300+x-300=400-300

x=100

The largest possible value of n is approximately equal to 331.

In this problem we find a factorial number as the result of a power with a base of 3. First, we need to estimate the maximum possible value of n (as a real number) by using logarithm properties:

3ⁿ = 100!

3ⁿ = 1 · 2 · 3 · ... · 99 · 100

㏒₃ 3ⁿ = ㏒₃ (1 · 2 · 3 · ... · 99 · 100)

n · ㏒₃ 3 = ㏒₃ 1 + ㏒₃ 2 + ㏒₃ 3 + ... + ㏒₃ 99 + ㏒₃ 100

n ≈ 331.090

Second, find the maximum possible integer n related to 100! is found by truncating the result found in the previous section. Hence, the largest possible value of n is approximately equal to 331.

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Given that p and q are integers,

then find out -(p/q) = (-p)/q = p/(-q)

with real world example.

First of all we have know about Integers

a whole number, a number that is not a fraction.

and secondly Rational numbers

A rational number is any number that can be expressed in the form p/q where 'q' is not equal to zero. The quotient of the rational number p/q is nothing but the result that we get when we divide 'p' by 'q'.

For real world contexts we put some value at the place of p and q.

let p=1

q=2

-(1/2) = (-1/2) =(1/-2)

by evaluate it we get ...

-1/2=-1/2=-1/2

Rules for Negative rational numbers

Hence  If p and q are integers, then -(p/a) = (-p)/q = p/(-q).

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Amount of one tin of paint is $14 and the total amount Mr. Chong  have is $172.

Let amount of one tin of paint = x

Let the total amount Mr. Chong  having = y

On buying 18 tins of paint, he will need another $80. This can we mathematically represented as,

18x = y + 80            

On rearranging this equation can be written as,

18x - y = 80                                         equation 1

On buying 10 tins of paint, he will will have $32 left. This can we mathematically represented as,

10x = y - 32

On rearranging this equation can be written as,

-10x + y = 32                                      equation 2

On adding equation 1 and equation 2, we get

18x - y -10x + y = 80 + 32

8x = 112

x = (112/8) = 14

On substituting x = 14 in equation 2 , we get

-140 + y = 32

y = 172

So, amount of one tin of paint is $14 and the total amount Mr. Chong  have is $172.

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$22,150  is the total assets .

What is total assets?

Total asset =  Saving account balance + current value of automobile + video equipment + personal computer + cash in checking account + household possessions + value of stock investment

        = $1990 + $9800 + $2600 + $1700 + $550 + $4400 + $ 1110

       =  $22,150

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Answer: 5 multiples of 9

Step-by-step explanation:

First take the difference between 100 and 60.

100-60=40

Then divide the difference by 9.

40/9=4.44

4.44 rounded up is 5 ==> 5 multiples of 9

Primero toma la diferencia entre 100 y 60.

100-60=40

Luego divide la diferencia entre 9.

40/9=4,44

4.44 redondeado es 5 ==> 5 múltiplos de 9

Answer:

5

Step-by-step explanation:

9*7 = 63

9*8 = 72

9*9 = 81

9*10 = 90

9*11 = 99

Hay 5 múltiplos de 9 entre los números 60 y 100

Adrianna's distance from her house increases from 60 yards to 180 yards, her distance from the bus stop varies from 340 yards to 220 yards.

What is the straightforward meaning of distance?

Adrianna walks from her house to a bus stop that is 400 yards away.

as Adrianna walks to the bus stop the distance between Adrianna and bus stop will b decreasing .  

Further As Adrianna's distance from her house is  60 yards then she is 400 -60 = 340 yards away from bus stop

Also As Adrianna's distance from her house is  180 yards then she is 400 -180 = 220 yards away from bus stop .

As Adrianna's distance from her house increases from 60 yards to 180 yards, her distance from the bus stop varies from 340 yards to 220 yards.

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Answer: Continuous data

Step-by-step explanation:

Answer: The solution to |14|-|-14| is 0

Answer:

The answer is 0

Step-by-step explanation:

absolute value of 14 and -14 is 14 and 14 minus 14 equals 0

The percentage of money earned from the sale of hot chocolate is 44%.

Ratio expresses the relationship between two or more numbers. It shows  the number of times that one value is contained within other value(s).

Number of large cups bought = (3/8) x 64 = 24

Number of small cups bought = (5/8) x 64 = 40

Total revenue from selling large cups = 24 x 3.99 = $95.76

Total revenue from selling small cups = 40 x 2.99 = $119.60

Total profit = $119.60 + $95.76 = 215.36

Percentage earned from the sale of large cups = (95.76 / 215.36) x 100 = 44%

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Answer:0.4875.

Step-by-step explanation:

Answer:

0.48750

explanation:

If joe walks by 21 cats in one week then 7 cats are black.

Percentage can be defined as a ratio that is expressed as fraction of 100.

For Example , 1%= 1/100

Given that Joe's town there are 33 black cats

Total cats = 100.

The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%

Number of cats joe sees in a week =21

Number of black cats joe sees in a week will be = 33% of 21

[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7

Therefore , If joe walks by 21 cats in one week then 7 cats are black.

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Yes, The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Here,

We have to find the statement,

''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true or not.

What is Descriptive statistics?

Descriptive statistics is a means of describing features of a data set by generating summaries about data samples.

Now,

The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Because : Descriptive statistics refers to the summary of important aspects of a data set.

Hence, The statement ''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true.

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The cycle time for the company is 3.

Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.

According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.

Given the company takes 4,500 hours to complete 15000 units

∴ In one hour he company can make 15000/4500 units which is

= 3 units per hour.

So the cycle time for the company is 3 units per hour.

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The table for each function is presented below and its graphs are attached in this answer.

Function 1

x          3x-5

-2          -11

-1           -8

0           -5

1            -2

2           1

Function 2

x          -x+3

-2          5

-1           4

0           3

1           2

2           1

Function 3

x         x²-2x+1

-2          9

-1           4

0           1

1           0

2           1

Function 4

x         -3x²+1

-2          -11

-1           -2

0           1

1          -2

2           -11

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .

b= the constant term that represents the y-intercept.

For solving this question, you should plot the points  from the given equation and after that draw a line.

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

First column represents the value of x and the second column represents the value of the function for each value of x

x          3x-5

-2          -11

-1           -8

0           -5

1            -2

2           1

See the figure graph1.

First column represents the value of x and the second column represents the value of the function for each value of x

x          -x+3

-2          5

-1           4

0           3

1           2

2           1

See the figure graph2.

First column represents the value of x and the second column represents the value of the function for each value of x

x         x²-2x+1

-2          9

-1           4

0           1

1           0

2           1

See the figure graph3.

First column represents the value of x and the second column represents the value of the function for each value of x

x         -3x²+1

-2          -11

-1           -2

0           1

1          -2

2           -11

See the figure graph4.

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The quotient of 455 ÷ 36 is 12 with a remainder of 23.

It should be noted that the subtraction of 360 from 455 will be 95.

Then after that 72 is subtracted from 95 and this will be 23.

Therefore, the quotient is 12 with a remainder of 23.

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Answer:

If what youre asking is √162, then the answer is 9√2

Step-by-step explanation:

Answer: 12.73

type it in your calculator if you can

Answer: 10. (2,4)  11. (4,9)  13. (2,-2)  14. (1,2)

Step-by-step explanation:

Just plugged em into desmos & double checked

Answer:  11. (4,0) 13. (2,-2)

Step-by-step explanation:

11.

[tex]\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7[/tex]

x | 0 | 4 |

y | 7 | 9 |

[tex]\displaystyle\\y=\frac{3}{2}x+3\\[/tex]

x | 0 | 2 |

y | 3 | 6 |

13.

[tex]\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4[/tex]

x |  0 | 4 |

y | -4 | 0 |

[tex]y=-x[/tex]

x | 0 |  4 |

y | 0 | -4 |

Answer: It should be 4

Step-by-step explanation:

Just plug in 1 for t, t=1

The constant of proportionality for y = 5.5x will be 5.5.

A directly proportional relationship relation is shown below.

y ∝ x

where

∝  = the proportionality symbol

The variables that are related are y and x. Therefore,

y = kx

where

k is the proportionality constant.

For each chore Faith does, her mom gives her $5.50, which is shown by;

Using y = kx, the equations y = 5.5x can be designed as a directly proportional relationship.

As a result, k = 5.5 has been the proportionality constant.

The proportionality constant for y = 5.5x is 5.5.

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y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .

What is slope ?

Given points :  (0, 5) and (−2, 11)

Slope of the line passing through given points

[tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3[/tex]

Thus, slope of line passing through given points m=-3

We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)

Thus, equation of a line passing through (−2, 11) with slope m=-3 will be

( y - 11 ) = -3 ( x - (-2))

y - 11 = -3 ( x + 2)

Hence, the equation of line is y - 11 = -3 ( x + 2).

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In proportion , 13 ft is the actual length of a room.

What in mathematics is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

0.25 inches       8.5 inches

----------------   = --------------

 5 ft                   x ft

Using cross products

0.25x = 8.5 * 5

Divide each side by 0.25

0.25x/0.25 =  8.5  * 5/0.25

x = 13

x = 13 ft

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