help again asapppppp

Help Again Asapppppp

Answers

Answer 1

Answer:

[tex]\mathrm{y\:=\:\frac{3}{2}x\:+\:7}[/tex]

Step-by-step explanation:

To find the equation of a line parallel to -4y = 32 - 6x, we first need to rewrite this equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

-4y = 32 - 6x

Divide both sides by -4:

y = -8 + (3/2)x

So the slope of this line is 3/2. Since we want a line parallel to this one, it will have the same slope of 3/2.

Now we can use the point-slope form of a linear equation to find the equation of the line that passes through (0,7) with a slope of 3/2:

y - y1 = m(x - x1)

where m = 3/2 and (x1,y1) = (0,7)

y - 7 = (3/2)(x - 0)

Simplifying:

y - 7 = (3/2)x

y = (3/2)x + 7

So the equation of the line parallel to -4y = 32 - 6x that passes through the point (0,7) is y = (3/2)x + 7.


Related Questions

If the quotient of 3/8 and 1/4 is subtracted from the product of 2 1/4 and 1 1/7 what is the difference

Answers

Answer:

Step-by-step explanation:

(9/4 * 8/7) - (3/8*4/1) =

(72/28) - (12/8)

18/7 - 3/2

36/14 - 21/14

15/14 = 1 1/14

Which statement describes the relationships between x and y in these two equations?

y = 25x

y = x + 25



Responses

In y = 25x, the value of y is 25 more than the value of x, and in y = x + 25, the value of y is 25 times the value of x.


In y = 25x and y = x + 25, the value of y is 25 more than the value of x.


In y = 25x and y = x + 25, the value of y is 25 times more than the value of x.
In , y, = 25, x, and , y, = , x , + 25, the value of , y, is 25 times more than the value of , x, .

In y = 25x, the value of y is 25 times the value of x, and in y = x + 25, the value of y is 25 more than the value of x.

Answers

That statement that best describes the relationship between x and y in the given equations is: d. In y = 25x, the value of y is 25 times the value of x, and in y = x + 25, the value of y is 25 more than the value of x.

How to Interpret the Linear Relationship Equation?

In the equation y = 25x, the value of y is directly proportional to x and is 25 times greater than x. This means that as x increases, y increases by a multiple of 25. For example, if x = 2, then y = 50 (25 x 2), and if x = 4, then y = 100 (25 x 4).

In the equation y = x + 25, the value of y is equal to the value of x plus 25. This means that y is always 25 greater than x, regardless of the value of x. For example, if x = 2, then y = 27 (2 + 25), and if x = 4, then y = 29 (4 + 25).

The answer is option d.

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In a grocery store, a $12 case of soda is discounted 20%. How much will you save?

Answers

Answer: 9.60

Step-by-step explanation:

Labeled price = $ 12

Discount = 20% of labeled price = 12 x 20%

= 12 x 2 / 10 = 24 / 10 = $ 2.4

Sale price = Labeled price - Discount.

Sale price = $ 12 - $ 2.40 = $ 9.60

Thus the sale price of the case of soda is 9.60 $

PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

Answers

1) The system of inequalities that models this scenario will be:

6x + 3y ≤ 24

6x + 3y ≥ 4


2)
i) the solution for y is y ≤ 5 - 2x.
ii) the solution for y is y ≥ 3 - x.

3) The graph is attached accordingly.

What is the explanation for the above?

a)
Let's use the variables x and y to represent the number of Mickey pretzels and Mickey bars, respectively, that Mrs. Tobie can buy. We want to ensure that at least four children get one snack each, so the inequality for the total number of snacks should be greater than or equal to 4.

Also, Mrs. Tobie has a budget of S24, so the cost of the snacks should be less than or equal to S24. Putting these together, we get:

6x + 3y ≤ 24 (budget constraint)

6x + 3y ≥ 4 (at least four snacks)

So the system of inequalities that models this scenario is:

6x + 3y ≤ 24

6x + 3y ≥ 4


b)

To solve for y in each inequality, we need to isolate y on one side of the inequality sign.

For the first inequality, we have:

x + y ≥ 3

Subtracting x from both sides, we get:

y ≥ 3 - x

So the solution for y is y ≥ 3 - x.

For the second inequality, we have:

6x + 3y ≤ 15

Dividing both sides by 3, we get:

2x + y ≤ 5

Subtracting 2x from both sides, we get:

y ≤ 5 - 2x

So the solution for y is y ≤ 5 - 2x.

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As time, t, passes the value of an investment is modeled by 푉(푡) = 50(0.9)푡. Which of the following statements is supported by the behavior of V(t)?

Answers

The value of the investment modeled by the function V(t) = 50(0.9)^t Decreases at a decreasing rate, starting with an initial value of 50.

We are given the investment value function V(t) = 50(0.9)^t. This function describes the value of an investment over time, t. Let's analyze the behavior of V(t) and find a statement that is supported by this function.

1. The initial value of the investment is V(0) = 50(0.9)^0 = 50(1) = 50. So, the investment starts with a value of 50.

2. The function V(t) contains a term (0.9)^t, which indicates that as time passes, the investment value decreases. This is because 0.9 is between 0 and 1, so raising it to a power of t (as t increases) results in a smaller value.

3. The rate of decrease is not constant, as the function is exponential, not linear. This means the value of the investment decreases at a decreasing rate over time.

Based on the behavior of V(t), the following statement is supported:

As time passes, the value of the investment modeled by the function V(t) = 50(0.9)^t decreases at a decreasing rate, starting with an initial value of 50.

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Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answers

The area of the figure is obtained to be approximately 74.1 units².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The rectangle has the length of 6 units.

The rectangle has the breadth of 10 units.

The semicircle has a diameter of 6 units.

The semicircle has the radius of 3 units.

The formula for area of rectangle is -

Area (r) = l × b

Substitute the values into the equation -

Area (r) = 6 × 10

Area (r) = 60 units²

The formula for area of semicircle is -

Area (r) = πr² / 2

Substitute the values into the equation -

Area (s) = [3.14 × (3)²] / 2

Area (s) = 28.26 / 2

Area (s) = 14.13 units²

The total area of the diagram is -

Total Area = Area (r) + Area (s)

Substitute the values into the equation -

Total Area = 60 + 14.13

Total Area = 74.13 units²

Therefore, the area of the figure is 74.1 units².

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Examples 1 and 2 1 HOTELS The function y = 100(1.05) represents the cost per night at a hotel that cost $100 when the hotel opened and has been increasing by 5% every year since the hotel opened.
a. Graph the function.​

Answers

Answer:

The graph of the function y = 100(1.05) is shown below.

b. Calculate the cost of the hotel per night after six years.

The cost of the hotel per night after six years is $130.25. This is calculated by plugging in t = 6 into the equation y = 100(1.05)^t and solving for y.

c. What is the overall cost of 7 nights at the hotel in its sixth year of operation?

The overall cost of 7 nights at the hotel in its sixth year of operation is $910.75. This is calculated by multiplying the cost per night after six years ($130.25) by 7 nights.

2 LEARNING RESOURCES

Discuss the advantages of using online learning resources for students.

One of the main advantages of using online learning resources for students is convenience. Online learning resources can be accessed from virtually any location with an internet connection, allowing students to learn from the comfort of their own homes or from mobile devices when they are on the go. Furthermore, online learning resources reduce the need for students to commute to and from a physical school, meaning that students have more time for their studies, hobbies, and other activities.

Another advantage of online learning resources is adaptability. Online learning resources may be tailored to the needs of each individual student and can easily be adjusted should a student’s needs

Help with math problems

Answers

Answer:

in absolute value you consider both the positive and negative side of the expression in the absolute bar.

The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested positive given that he or she had the disease.

Answers

The probability of getting someone who tested positive, given that he or she had the disease, is 0.9.

What is probability?

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of getting someone who tested positive, given that he or she had the disease, is equal to the probability that the individual has the disease and tests positive ( P(positive | disease) ).

This can be calculated using the formula P(A|B) = P(A∩B) / P(B)

P(positive | disease) = P(positive ∩ disease) / P(disease)

                    = 141 / (141+16)

                    = 0.898

Therefore, the probability of getting someone who tested positive, given that he or she had the disease, is 0.898, which is 0.9.

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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7 and each adult ticket sells for $11.50. The drama club must make at least $980 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, � s, and the number of adult tickets sold, � a, that would satisfy the constraint.

Answers

Using inequality, x < 63.33, Student take 62 and adult take 68.

By utilizing the "equal tο" symbοl in mathematics, equatiοns are nοt necessarily balanced οn bοth sides. Sοmetimes it can be abοut a "nοt equal tο" relatiοnship, which denοtes that οne thing is better than οr wοrse than anοther.

A relatiοnship between twο numbers οr οther mathematical expressiοns that yields an unfair cοmparisοn is referred tο as an inequality in mathematics. Certain algebraic mathematical expressiοns are referred tο as inequalities.

The student's ticket sells fοr $5,

adult ticket sells fοr $950,

Tοtal auditοrium = 130,

If x represents the number οf student, then adult = 130 - x,

∴ 5x + 9.5y > 950

insert y = 130 - x5x + 9.5(130 - x) > 950,

5x + 1235 - 9.5 x > 950

x < 63.33

∴ Student take 62 and adult take 68.

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The average height of a boy in the United States, from birth through 60 months, can be modeled by y = 2.9square root of (x) + 20.1 where y is the average height, in inches, of boys who are x months of age. What would be the expected difference in height between a child 49 months of age and a child 16 months of age?

Answers

Answer:

Step-by-step explanation:

To find the expected difference in height between a child 49 months of age and a child 16 months of age, we need to first find the average height of each child and then find the difference between them.

For a child who is 49 months old, the average height can be found by substituting x = 49 in the given equation:

y1 = 2.9sqrt(49) + 20.1 = 42.7 inches

For a child who is 16 months old, the average height can be found by substituting x = 16 in the given equation:

y2 = 2.9sqrt(16) + 20.1 = 28.9 inches

Therefore, the expected difference in height between the two children would be:

y1 - y2 = 42.7 - 28.9 = 13.8 inches

So we can expect the child who is 49 months old to be, on average, 13.8 inches taller than the child who is 16 months old.

Assume that the data has a normal distribution and the number of observations is
greater than fifty. Find the critical z value used to test a null hypothesis.
a = 0.05 for a two-tailed test.
O±2.575
O±1.764
O±1.645
O±1.96

Answers

-1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.

A null hypothesis is what?

A null hypothesis is a statistical hypothesis that presupposes that there is no link between two variables in a population or that there is no meaningful difference between two populations. It serves as the beginning point of a statistical hypothesis test and is typically marked as H0. A null hypothesis serves as a reference point against which the alternative hypothesis may be compared. The alternative hypothesis is accepted if there is sufficient evidence from the data to reject the null hypothesis. The null hypothesis is not rejected if there is insufficient evidence in the data to support it.

Using a significance threshold of 0.05, we may use a conventional normal distribution table or calculator to get the essential z value. The value that corresponds to the 0.025 percentile is the crucial z value (or the 0.975 percentile, depending on the direction of the alternative hypothesis).

The z value for the 0.025 percentile, as determined by a typical normal distribution table, is -1.96.

Hence, -1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.

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Divide 14x3 − 21x2 − 7x by −7x.

A) −2x2 + 3x + 1
B) −2x2 + 3x − 1
C) −2x3 − 3x2 − x
D) −2x2 + 3x

Answers

Answer:

A

Step-by-step explanation:

simply divide each ter by -7x ..

A block of wood with dimensions 10 in. by 10 in. by 6 in. has a 2 in. by 2 in. square hole cut through the square face, as shown.

A top view of a square block shows the square face with sides 10 inches long. A square hole near the right side has sides 2 inches long. A side view shows that the square cut goes through the block, from the top face to the bottom.
Top View Side View
What is the volume of the resulting block of wood?
Responses

24 in3
24 in3

576 in3
576 in3

600 in3
600 in3

624 in3
624 in3

Answers

The volume of the resulting block of wood is 576 in³. The correct option is the second option 576 in³

Calculating the volume of the resulting block of wood

From the question, we are to determine the volume of the resulting block of wood.

From the given information,

The dimensions of the block of wood is 10 in. by 10 in. by 6 in.

First, we will calculate the original volume of the block of wood.

The original block of wood has a volume of

V = 10 x 10 x 6

V = 600 in³

Now, we will determine the volume og the hole that was cut through

The dimensions of the hole is 2 in. by 2 in. by 6 in.

Volume of the hole = 2 x 2 x 6

Volume of the hole = 24 in³

The resulting block would have a volume of

Volume of resulting block = 600 - 24

Volume of resulting block = 576 in³

Hence, the volume is 576 in³.

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Anjali borrow 19000 rupees at 6% interest for 2 years at the end of 2 years she pays 15000 rupees and a gold ring to the money lender. What is the value of the gold ring

Answers

Answer:

Gold ring = 6180

Step-by-step explanation:

Gold ring = ?

I = prt

= 19000 x 6% x 2

= 2180

Amount to be paid= 19000 + 2180

= 21180

gold ring = 21180 - 15000

= 6180

Question Content Area
At the beginning of the period, the Cutting Department budgeted direct labor of $37,260 and supervisor salaries of $43,370 for 4,140 hours of production. The department actually completed 4,500 hours of production.

Determine the budget for the department assuming that it uses flexible budgeting.

Answers

Answer:

To determine the flexible budget for the Cutting Department, we need to use the information provided to adjust the original budget for the actual level of production.

First, we need to calculate the variable cost per hour of production:

Variable cost per hour = Direct labor / Hours of production

Variable cost per hour = $37,260 / 4,140 hours

Variable cost per hour = $9

Next, we can use this variable cost per hour to calculate the flexible budget for the actual level of production:

Flexible budget = (Variable cost per hour x Actual hours of production) + Fixed costs

Flexible budget = ($9 x 4,500 hours) + $43,370

Flexible budget = $40,500 + $43,370

Flexible budget = $83,870

Therefore, the flexible budget for the Cutting Department, based on the actual level of production of 4,500 hours, is $83,870.

number that multiplys into -144 ans adds into -10​

Answers

Answer:

-12 and 2

Step-by-step explanation:

1. Notice that both numbers have to be negative. This means that one number has to be negative, and the number with the largest value has to be negative.

2. Think of numbers that multiply to -144

3. Check and see if they add to -10

4. The only numbers that satisfy this are -12 and 2

What is the perimeter and area of ​​a right triangle, which has the measures of its sides, the horizontal 4m, the vertical 3m, and the diagonal 5m?

a) 12m and 6m²
b) 12m and 10m²
c) 21m and 21m²
d) 6m and 12m²
e) 6m and 7.5m²

Answers

Answer:

the answer is c because every side of a triangle sides are he same so c is your answer

Jenelle bought a home for $470,000, paying 18% as a down payment, and financing the rest at 5.4% interest
for 30 years. Round your answers to the nearest cent.
How much money did Jenelle pay as a down payment? $
What was the original amount financed? $
What is her monthly payment? $
If Jenelle makes these payments every month for thirty years, determine the total amount of money she
will spend on this home. Include the down payment in your answer. $
Video

Answers

Using percentage, we can find:

1- 84600

2- 385400

3- 20811.6

4- 7576776

What do you mean by percentage?

A percentage's denominator, often referred to as a ratio's or a fraction's, is always 100. Sam, for instance, would have gotten 30 out of a potential 100 points if his math test score had been 30%. It is written as 30:100 in ratio form and 30/100 in fraction form. In this context, "%" is read as "percent" or "percentage" to represent a percentage. This percent symbol can always be converted to a fraction or decimal equivalent by "dividing by 100".

Now in the question,

Downpayment = 18% of 470000

= 84600

original amount financed =

470000-84600

= 385400

Monthly payment = 5.4% of 385400

= 20811.6

Total payment in 30 years = 7576776

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What is the greatest number of unit cubes that would fit in a rectangular prism that is 12 units tall, 5 units long, and 7 units wide?

A 420
B 84
C 60
D 7

Answers

Answer:

A or 420

Step-by-step explanation:

Remember Length x Width x Height. 12 * 5 is 60, then 60 * 7 is 420.

What is the length of TR?

Answers

Answer:

2x + 30

Step-by-step explanation:

assuming there is no other data

4x + 6 + 24 - 2x =

2x + 30

You deposit $1,000 into a bank account. The account pays 3.75% annual interest compounded monthly. Find the balance after 6 years.
Your answer:
O $14,162.62
O 1,471.92
O $1,251.88
O $1,018.90

Answers

The answer of the given question based on the compound interest is  the balance after 6 years is $14,162.62 (option a).

What is Amount?

Amount refers to total value of something, usually in terms of a money. It can also be used in  context of a quantity of something, such as an amount of the  time or an amount of the material.

formula for the compound interest is :

A = P(1 + r/n)^(nt)

Where,

A = final amount

P = principal amount

r = annual interest rate

n = the number of times interest is to be compounded per year

t = time in years

In this case, we have:

P = $1,000

r = 3.75% = 0.0375 (annual interest rate as a decimal)

n = 12 (monthly compounding)

t = 6 years

Substituting the  values into  formula, we will get:

A = 1000(1 + 0.0375/12)⁽¹²*⁶⁾

A = $1,4162.62

Therefore, the balance after 6 years is $14,162.62 (option a).

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A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those surveyed, 45 watch more than 10 hours per week. Based on the data, if the company has 2,500 subscribers, then how many watch more than 10 hours per week?

Answers

Answer:

11205 is correct answer

I need help with this please

Answers

Answer: A. Nikko by 2 inches

Step-by-step explanation: Because 82 inches = 6ft 10in, which is 2 inches taller than Ricco.

Solve for x. Round to the nearest tenth, if necessary.
x=

Answers

Step-by-step explanation:

For RIGHT  triangles the cos of an angle = adjacent LEG / hypotenuse

 so for THIS triangle   cos 55°  = x / 9.3

    re-arrange to    9.3 * cos 55° = x    

       use calculator to find x = ~ 5.3 units   (rounded)

Answer:

x = 5.3

Step-by-step explanation:

As triangle XYZ is a right triangle, and we have been given angle X, the side adjacent the angle, and the hypotenuse, we can use the cosine trigonometric ratio to solve for x.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Cos trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

Given:

θ = 55°A = xH = 9.3

Substitute the given values into the formula and solve for x:

[tex]\implies \cos 55^{\circ}=\dfrac{x}{9.3}[/tex]

[tex]\implies x=9.3 \cos 55^{\circ}[/tex]

[tex]\implies x=5.3342608...[/tex]

[tex]\implies x=5.3\; \sf (nearest\;tenth)[/tex]

Therefore, the value of x is 5.3 to the nearest tenth.

Find the values of x and y. Write your answers in simplest form.

Answers

Answer:

y = 4

x = 4√2 or 5.66

Step-by-step explanation:

If the △ is a right △ with 1 angle 45o, then the other angle is also 45o. This △ will be isosceles right triangle with y = 4

Pythagorean theorem: c^2 = a^2 + b^2

x^2 = y^2 + 4^2

x^2 = 4^2 + 4^2

x^2 = 32

x = √32 = 4√2 = 5.66

will give thanks
trig

Answers

The data in the triangle is not sufficient to find the asked values in the question.

Explain about the sine rule:

The relationship in between sides and angles for non-right (oblique) triangles is known as the Law of Sines. It simply asserts that for all sides and angles of a given triangle, the ratio of the length of a side to the sine angle opposite this side is the same.

You must know between two angles but one side of the triangle (AAS or ASA) either two sides and an angle opposing one of them in order to employ the Law of Sines (SSA).

g/sinG = h/sinH = f/sinF

Where G, H and F are the angles and g, h and f are the angles' opposing sides.

Put the values:

g/sin136 = 13/sinH = 7/sinF

The three pairs of expression are-

HF/sin136 = 13/sinH ;   13/sinH = 7/sinF and g/sin136 = 7/sinF.

HF = 13*sin136/sinH

HF = 10.97/SinH

From the found 3 expression, each has two missing value.

Thus, the angles F and H is not possible to find.

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Type the correct answer in each box. Use numerals instead of words. Consider function g. g ⁡ ( x ) = { 6 , - 8 ≤ x < - 2 0 , - 2 ≤ x < 4 - 4 , 4 ≤ x < 10 What are the values of the function when x = - 2 and when x = 4 ? g ⁡ ( - 2 ) = g ⁡ ( 4 ) =

Answers

After addressing the issue at hand, we can state that Therefore, function  g(-2) = 0 and g(4) = -4.

what is function?

Mathematicians investigate numbers and their varieties, equations and adjacent tissues, shapes but instead their locations, and potential locations for these things. The term "function" refers to the relationship here between set of inputs, each with its own output. A function is a relationship of both inputs and outputs in which each input results in a single, distinct production. Each function has its own domain, codomain, or scope. The letter f is commonly used to denote functions (x). An x represents entry. On functions, each capabilities, so several capabilities, in capabilities, and on operations are the four major types of accessible functions.

When x = -2, g(x) = 0.

When x = 4, g(x) = -4.

Therefore, g(-2) = 0 and g(4) = -4.

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The line joiningA(1,4)to B(5,p) has a gradient of 1/2. Find

Answers

Answer:

p = 6

Step-by-step explanation:

How to multiply polynomials

Answers

Answer:

To multiply polynomials, you can follow these steps:

Distribute each term of the first polynomial to each term of the second polynomial.

Combine like terms.

Simplify the resulting expression.

Here is an example:

(2x + 3)(x - 4)

Distribute:

2x(x - 4) + 3(x - 4)

Combine like terms:

2x^2 - 8x + 3x - 12

Simplify:

2x^2 - 5x - 12

So, (2x + 3)(x - 4) = 2x^2 - 5x - 12.

Step-by-step explanation:

Other Questions
A lightyear is the distance that light travels in one year. The speed of light is about 300 million m/s. The earth is about 150 million km from the sun. How long does it take a beam of light to travel from the sun to the earth? Company X wishes to borrow U.S. dollars at a fixed rate of interest. Company Y wishes to borrow Japanese yen at a fixed rate of interest. The amounts the two companies require are roughly the same at the current exchange rate. The companies have been quoted the following interest rates, which have been adjusted for the impact of taxes:After allowing for the bank's gain, what is the net gain for the two companies?YenUSDCompany X5.0%9.6%Company6.5%10.0% Study Notes: Commentaries on the Laws of England1. How does Blackstone define law as a general term?2.How were laws set into motion in the universe?3. Man is endowed with what two qualities? What must he be subject to?4. What is meant by the law of nature? What are some of the principles of human conduct?5. How is man's reason alone inadequate in understanding the law of nature?6. Why is the law of nature superior to any other law?7. What is the revealed law? Where is it found?8. Upon what two foundations does all human law depend?9. Why would no laws be needed if man were to live in a state of nature?10. What is the law of nations? the dominant form of industrial organization in europe, the united states, and japan by the end of the nineteenth century was: group of answer choices the guild system. the putting-out system. the factory system. cottage industry. a socialist-directed economy. The arithmetic calculations and statistical procedures for (a) the test of homogeneity and (b) the test of independence are the same.a) Explain in a few sentences what distinguishes these two hypothesis tests.b) To illustrate your answer in part (a), make up an example of a research question that would require a test of homogeneity, and an example that would require a test of independence. Briefly describe the aspects of your examples that illustrate the distinguishing characteristics you mentioned in part (a). a nurse is instructed to give psychotherapy to the geriatric patients in the psychiatric unit. what appropriate action does the nurse take to give effective psychotherapy to the patients? A triangle has two side lengths of 6 cm and 4 cm. Select all the lengths that could be the third side. Read the passage and question carefully then select your answer.'Well, if I cannot keep Heathcliff for my friendif Edgar will be mean and jealous, I'll try to break their hearts by breaking my own. That will be a prompt way of finishing all, when I am pushed to extremity! But it's a deed to be reserved for a forlorn hope; I'd not take Linton by surprise with it. To this point he has been discreet in dreading to provoke me; you must represent the peril of quitting that policy, and remind him of my passionate temper, verging, when kindled, on frenzy. I wish you could dismiss that apathy out of that countenance, and look rather more anxious about me.'The stolidity with which I received these instructions was, no doubt, rather exasperating: for they were delivered in perfect sincerity; but I believed a person who could plan the turning of her fits of passion to account, beforehand, might, by exerting her will, manage to control herself tolerably, even while under their influence; and I did not wish to 'frighten' her husband, as she said, and multiply his annoyances for the purpose of serving her selfishness. Therefore I said nothing when I met the master coming towards the parlour; but I took the liberty of turning back to listen whether they would resume their quarrel together. He began to speak first.'Remain where you are, Catherine,' he said; without any anger in his voice, but with much sorrowful despondency. 'I shall not stay. I am neither come to wrangle nor be reconciled; but I wish just to learn whether, after this evening's events, you intend to continue your intimacy with''Oh, for mercy's sake,' interrupted the mistress, stamping her foot, 'for mercy's sake, let us hear no more of it now! Your cold blood cannot be worked into a fever: your veins are full of ice-water; but mine are boiling, and the sight of such chillness makes them dance.''To get rid of me, answer my question,' persevered Mr. Linton. 'You must answer it; and that violence does not alarm me. I have found that you can be as stoical as anyone, when you please. Will you give up Heathcliff hereafter, or will you give up me? It is impossible for you to be my friend and his at the same time; and I absolutely require to know which you choose.''I require to be let alone!' exclaimed Catherine, furiously. 'I demand it! Don't you see I can scarcely stand? Edgar, youyou leave me!'She rang the bell till it broke with a twang; I entered leisurely. It was enough to try the temper of a saint, such senseless, wicked rages! There she lay dashing her head against the arm of the sofa, and grinding her teeth, so that you might fancy she would crash them to splinters! Mr. Linton stood looking at her in sudden compunction and fear. He told me to fetch some water. She had no breath for speaking. I brought a glass full; and as she would not drink, I sprinkled it on her face. In a few seconds she stretched herself out stiff, and turned up her eyes, while her cheeks, at once blanched and livid, assumed the aspect of death. Linton looked terrified.'There is nothing in the world the matter,' I whispered. I did not want him to yield, though I could not help being afraid in my heart.'She has blood on her lips!' he said, shuddering.'Never mind!' I answered, tartly. And I told him how she had resolved, previous to his coming, on exhibiting a fit of frenzy. I incautiously gave the account aloud, and she heard me; for she started upher hair flying over her shoulders, her eyes flashing, the muscles of her neck and arms standing out preternaturally. I made up my mind for broken bones, at least; but she only glared about her for an instant, and then rushed from the room. The master directed me to follow; I did, to her chamber-door: she hindered me from going further by securing it against me.Catherine's request in the first paragraph ("you must represent...") reveals that she views the narrator asGroup of answer choicesa co-conspiratora counselora scapegoata servantan advocate The number, 19/7, is what number Define conspicuous consumption and explain how it differs from, or relates to, neoclassical expectations about consumption. Give an example of conspicuous consumption that you have observed in real life, or, if you haven't observed this phenomenon and disagree with Veblen, give an example that refutes the idea. Where does the messenger RNA go after it leaves the nucleus? Use a truth table to determine whether the symbolic form of the argument on the right is valid or invalid.Choose the correct answer below.O The argument is invalid.O The argument is valid.rp-q9 Equiano sees many things that he is unfamiliar with on his journey, including a telescope and men on horseback. How does he first explain these new sights in his narrative? He worries that he has already died. He thinks that he has been cursed by a rival tribe member. He worries that he has caught a terrible disease that is affecting what he sees. He thinks that he is in a different world that is full of magic and evil spirits. Which option provides a complete, accurate and objective summary of the Plessy v. Ferguson case? the news began airing coverage of accidents that occurred in ford vehicles. this extensive coverage created fear for consumers, causing them to purchase fewer ford vehicles. this is an example of A map of B.C. has a scale of 1:2 500 000. The actual distance between Nanaimo and Campbell River is approximately 86 mi. What is this distance on the map? Answer to the nearest sixteenth of an inch.pls help! and show work. Match 1)solutions2)colloids3)suspensionssmaller than 1 nmlarger than 1000 nm1 nm to 1000 nm Consider the following statement and describe its accuracy:"A country's male labour force participation rate is stronglycorrelated with its level of economic development." After 27 years, how has Rwanda moved on/rebuilt from this huge incident in their history? How was Rwanda impacted by this event? WILL MARK BRAINLIEST!!!From the choices below, select the one that best describes the difference between distance and displacement.Distance includes direction, Distance includes acceleration, displacement does notDisplacement includes direction, distance does not Distance include speed, displacement, does not