the united nations stores data about energy production from animal waste and the use around the world. the following data set gives information for converting animal waste into electricity. country or area commodity - transaction year quantity unit united states animal waste - transformation in electricity 2014 171907 terajoules united states animal waste - transformation in electricity 2013 149233 terajoules united states animal waste - transformation in electricity 2012 104847 terajoules united states animal waste - transformation in electricity 2011 141347 terajoules united states animal waste - transformation in electricity 2003 185912 terajoules united states animal waste - transformation in electricity 2002 197120 terajoules united states animal waste - transformation in electricity 2001 104725 terajoules united states animal waste - transformation in electricity 2000 126745 terajoules united states animal waste - transformation in electricity 1999 133206 terajoules united states animal waste - transformation in electricity 1998 224425 terajoules united states animal waste - transformation in electricity 1997 129113 terajoules united states animal waste - transformation in electricity 1996 5274 terajoules united states animal waste - transformation in electricity 1993 21748 terajoules united states animal waste - transformation in electricity 1992 242924 terajoules united states animal waste - transformation in electricity 1991 210448 terajoules united states animal waste - transformation in electricity 1990 215437 terajoules what is the slope of the linear equation of the entire data set? round to nearest hundredth. provide your answer below:

answer

Calculate the slopes of the 2 lines and compare them.

m = (y2 - y1)/(x2 - x1)

If they are equal, the lines are parallel. If one slope is the negative reciprocal of the other, the lines are perpendicular. If neither of these conditions are met, the lines are not parallel and are not perpendicular. You have all the information you need. Do the math.

Step-by-step explanation:

hope it helps

Taking into account the definition of a system of linear equations, the system of equations to be solved is

r= g+2

2g + 4.75r= 50

where "g" is the number of games Lauren played and "r" is the number of rides Lauren went on.

A system of linear equations is a set of two or more first degree equations, in which two or more unknowns are related and it is desired to find their value.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. Thit is, the values ​​of the unknowns must be find, and when the are replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

r= g+2

2g + 4.75r= 50

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This is 100% correct. Just got it right.

"g" is the number of games.

"r" is the number of rides.

System of equations

r =  g + 2

2g + 4.75r = 50

Answer: B

Step-by-step explanation:

100/9

11.1

11 1/9

The answer to the given question is true. A chart where the data is arranged in vertical columns is called Column Chart, and this chart is useful for showing data changes over time or illustrating comparisons among items.

What is column chart?

Column chart is a type of chart that compares different object levels over time using a vertical format. It is a chart in which the data is arranged in columns and this is useful for showing data changes over a period of time or for illustrating comparisons among items.

Data that is arranged in columns or rows on a worksheet can be plotted in a column chart. In column charts, categories are typically organized along the horizontal axis and values along the vertical axis. Column charts are useful to show how data changes over time or to show comparisons among items.

Column charts are not useful when there are a lot of categories. Catagories organized along the x-axis, while numbers or numerical values ligned in the y-axis.

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As per the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to

$422.92.

As given in the question,

Loan amount taken from the bank is equal to $35,000

Simple interest rate is 2%

Time period = 8 years

Total interest paid is equal to

= Loan amount × Interest rate × time period

= 35,000 × 2% × 8

= (35,000 × 2 × 8) / 100

= $5600

Total amount to be paid

= Loan amount + Interest amount

= $35,000 + $ 5,600

= $ 40,600

Monthly payment done based on given interest and time period

= $40,600 / ( 8 × 12 )

= $ 40,600 / 96

= $ 422.92

Therefore, for the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to $ 422.92.

The complete question is:

Attending the university of Houston main campus ,the bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. How much will your monthly payments be?

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Answer:

x = 4

Step-by-step explanation:

8(x - [tex]\frac{5}{2}[/tex] ) = 3x ← distribute the parenthesis by 8

8x - 20 = 3x ( subtract 3x from both sides )

5x - 20 = 0 ( add 20 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

Sydney's age is 43 years.

According to the question,

We have the following information:

Devaughn is 13 years older than Sydney. The sum of their ages is 99.

Let's take the age of Devaughn to be x years and the age of Sydney to be y years.

So, Devaughn's age can be expressed using the following expression:

y = 13+x years

Now, we have the following expression for the sum of their ages:

x+13+x = 99

2x+13 = 99

Moving 13 from the left hand side to right hand side will result in the change of the sign from plus to minus:

2x = 99-13

2x = 86

x = 86/2

x = 43 years

Hence, Sydney's age is 43 years.

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From given set, 3x and x; 1/4 and 0.5; –m and 8m; –xy² and 2xy²;  –7 and 6 are the like terms combinations

In algebraic terms, the terms that contain the same variable and the same power or degree are called like terms, In algebraic like terms, the numerical coefficients can vary but are not variables.

Here are some examples of like terms and unlike terms,  

4x and 9x are like terms

3x²y and 10x²y are like terms

2xy and 10yx  are like terms

3x and 19y  are unlike terms  [ ∵ variable is different ]

2xyz and 2xy are unlike terms [ ∵ variables is missing in 2nd term ]

Here we have a set of algebraic terms that can be classified as given below

=> 3x and x    - like terms

=> 1/4 and 0.5 - like terms

=> –m and 8m - like terms

=>  –xy² and 2xy² - like terms

=> y and y² - unlike terms             [ ∵ powers are not same ]

=>  4xy and –5x²y  - unlike term  [ ∵ powers are not same ]

=> m and n  - unlike term              [ ∵ variables are not same ]  

=> –7 and 6  like terms

Therefore,

From given set, 3x and x; 1/4 and 0.5; –m and 8m; –xy² and 2xy²;  –7 and 6 are the like terms combinations

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The complete Question

Juan is learning about like terms in his math class. He must check all the combinations below that are like terms. Which ones should he check? Choose all that apply.

=> 3x and x    

=> 1/4 and 0.5

=> –m and 8m

=>  –xy² and 2xy²

=> y and y²

=>  4xy and –5x²y

=> m and n

=> –7 and 6

Answer: 115

Step-by-step explanation: trust me bro free lee

Two angles are supplementary if their sum is 180° thus the angle supplementary to angles m∠AED are m∠DEB and m∠AEC and their measure is 115° both.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

As per the given lines, AB intersect CD at E has been drawn below,

m∠AED = 65° (given)

m∠AED + m∠DEB = 180° (supplementary)

m∠DEB = 180° - 65° = 115°.

m∠AED + m∠AEC = 180° (supplementary)

m∠AEC = 180° - 65° = 115°.

Hence "Two angles are supplementary if their sum is 180° thus the angle supplementary to angles m∠AED are m∠DEB and m∠AEC and their measure is 115° both".

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The expression to find how many more customers visited the store on the first day is 5x - 2.

It's important to note that an expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Since the number of customers in a store on the first day is represented by (6x-3) and the number of customers on the second day is represented by (x-1).

The number of more customers will be:

= Customers on first day - Customers on second day

= 6x - 3 - (x - 1)

= 6x - 3 - x + 1

= 5x - 2

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[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \implies y -1= \cfrac{1}{2} (x +6) \\\\\\ y-1=\cfrac{1}{2}x+3\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x+4 \end{array}}[/tex]

The distance is 252 inches.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line.

Given

the length of shoes = 12 inch

The distance is equal to length of 21 of the shoes.

The total distance = 12×21

=252 inch

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The solution to the system of equations (0.4, 1).

Given equations according to the question,

y = -5x+3

y = 1

Now we can use y = 1 and substitute the value of y in y = -5x+3

After substituting we get, the value of y we get,

= 1 = -5x+3

Now given points according to the questions are

(0.4, 1) , (0.8, 1), (1, 0.4), (1, 0.8).

We substitute these points in the equation to see which points satisfy the equation, the point satisfying the equation is our point.

First, we will use (0.4, 1)

= 1 = -5x+3

= 1 = -5×0.4 + 3

= 1 = -2+3

= 1 = 1

Hence (0.4, 1) is our first solution of the equation.

Then we will use (0.8 ,1)

= 1 = -5x+3

= 1 = -5×0.8 + 3

= 1 = -4+3

= 1 = -1

Hence (0.8, 1) is not out the solution to the equation.

Then we will use (1,0.4)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.4) is not the solution to the equation.

Then we will use (1,0.8)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.8) is not the solution to the equation.

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Using the simplification, company y has 17 number of part-time employees.

In the given question we have to find how many part-time employees does company y have.

From the question, company x has 50 employees and company y has 60 employees.

Both companies have the same number of full-time employees, but company y has 3 more than twice the number of part-time employees that company x has.

Let company x has A number of part-time employees.

According the given statement

Company y has number of part-time employees = 2A+3

Let company X and Y have B number of full-time employees.

So the total number of employees in company x;

A+B = 50....................(1)

The total number of employees in company x;

2A+3+B = 60

Subtract 3 on both side we get

2A+B=57....................(2)

Subtract Equation 2 and 1

2A+B-(A+B)=57-50

2A+B-A-B=57-50

A=7

Now putting the value of A in equation 1

7+B=50

Subtract 7 on both side we get

B=43

As, Company y has number of part-time employees = 2A+3

Company y has number of part-time employees = 2×7+3

Company y has number of part-time employees = 14+3

Company y has number of part-time employees = 17

Hence, company y has 17 number of part-time employees.

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The number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

The payment of car washing per hour = $10

The payment for landscaping = $12

Total number of hours worked = 14  hours

Number of hours worked in car washing = x

Number of hours worked in landscaping = y

Then the first equation will be

x + y = 14

x = 14 - y

Total amount he earned = $152

Next equation will be

10x + 12y = 152
Here we have to use substitution method

10(14-y) + 12y = 152

140 - 10y +12y = 152

140 + 2y = 152

2y = 152 - 140

2y = 12

y = 12/2

y = 6 hours

Then

x = 14 - y

x = 14 -6

x = 8  hours

Hence, the number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

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Frequency of radiation with a wave length of 5.2 cm is 57.7x[tex]10^{8}[/tex]

The number of waves that pass a fixed point in unit time.

Given that, a frequency with a wave length of 5.2 cm

5.2 cm = 0.052 m

Frequency = f = c/λ

f = 3x[tex]10^{8}[/tex]/0.052 = 57.7x[tex]10^{8}[/tex] Hz

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She can see the horizon till 2.604 meters when the person is standing at a height of 5.76 meters above sea level.

Given that,

If a person can see d kilometers into the distance from her eye level, which is h meters above sea level, then d=3.57 √h. Let's say the person is standing at a height of 5.76 meters above sea level.

We have to find she can see the horizon, but how far.

The SI unit of length is the meter. In addition to meters, length can also be expressed in other units like centimeters, inches, feet, and yards.

So,

d=h

3.57 √h= 5.76 meters

Divide both sides by 3.57

√h= 5.76 meter/ 3.57

√h=1.614

Squaring on both sides.

h=2.604

Therefore, She can see the horizon till 2.604 meters when the person is standing at a height of 5.76 meters above sea level.

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After simplification of |2-5|-(6/2+1)², the resultant answer is (A) -13.

To simplify simply means to make anything easier.

In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.

Calculations and problem-solving techniques simplify the issue.

Substitute "of" for "multiplication," and "/" for "division."

Always carry out operations in accordance with "BODMAS."

Division and multiplication are equally important (Start from left) Both addition and subtraction are equally important.

So, simplify |2-5|-(6/2+1)² as follows:

|2-5|-(6/2+1)²

|-3| - (6/2 + 1)²

We know that : |-3| = 3 and (6/2 + 1)² = 16

Then, we have:
3 - 16

- 13

Therefore, after simplification of |2-5|-(6/2+1)², the resultant answer is (A) -13.

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Answer:

58,5km/h

Step-by-step explanation:

Vyork-leeds=45km/h

Vleeds-blackpool=72km/h

(45+72):2=58,5km/h

The probability that both marbles are of the same color is 31/66

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

5 red and 7 green marbles.

We have to calculate the probability of two marbles being drawn consecutively without replacing them.

The first is that if we define events R to be two red marbles, and G to be two green marbles, then we can verify that:

P(R) = (5/12)(4/11)

P(G) = (7/12)(6/11)

Then, P(R ∪ G) = P(R) + P(G)

                        = (5/12)(4/11) +  (7/12)(6/11)

                        = 5/33 + 7/22

                        =  31/66

Hence, the probability that both marbles are of the same color is 31/66

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[tex]y < -3x+1[/tex]

Graph below:

Answer:

33, 34

Step-by-step explanation:

we must start solving this equation by letting a variable equal the smaller number

let n = smaller number

now the larger number is consecutive so you add one to n to get it

n + 1 is the bigger number

if you add them you get 67

n + n + 1 = 67

now solve

add like terms

2n + 1 = 67

subtract 1 from both sides

2n = 66

n = 33

the smaller number is 33

adding one to that will get you the larger integer

33 + 1 = 34

that is the larger integer

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

The minimum sample size required for a 94% confidence interval with a margin of error of 0.007, using the z-distribution, is of:

18,033.

A confidence interval of proportions has the bounds obtained by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are presented and explained as follows:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence level is of 94%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.94}{2} = 0.97[/tex], so the critical value is z = 1.88.

We have no estimate of the population proportion, hence we consider [tex]\pi = 0.5[/tex], which is when the largest sample size is required.

The margin of error is of M = 0.007, hence the sample size required is obtained as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.007 = 1.88\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.007\sqrt{n} = 1.88 \times 0.5[/tex]

[tex]\sqrt{n} = \frac{1.88 \times 0.5}{0.007}[/tex]

[tex](\sqrt{n}) = \left(\frac{1.88 \times 0.5}{0.007}\right)^2[/tex]

n = 18,033.

The sample size was rounded up, as a sample size of 18,032 would result in a margin of error slightly above the desired 0.007.

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Answer:

the answer is c.

Step-by-step explanation:

the slope will always have an x behind it and the y intercept is exactly as written

Step-by-step explanation:

190 = 5

? = 30

30 / 5 = 6

190 x 6 = 1140

Answer:

y = -x - 4

Step-by-step explanation:

Given line: y = x - 1

Slope of given line = 1

The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular line is -1.

slope = -1

point: (-6, 2)

y = mx + b

y = -x + b

2 = -(-6) + b

2 = 6 + b

b = -4

Equation:

y = -x - 4