What is the rate of change?

What Is The Rate Of Change?

Answers

Answer 1

Answer:

(-5,1) and (0,3)

in this first one the distance of x is -5 and y is 1, similarly in second x is in origin which means 0 and y is 3.....


Related Questions

Allison was in an accident cause by her own negligence. She has 50/250 bodily injury insurance. There were 5 people injured in a mini-van and 2 people injured in Allison’s own car. The people injured in the accident sued and 4 were awarded $40,000, 2 were awarded $80,000 and 1 person was awarded $160,000. How much will the insurance company pay?

Answers

In this situation, Allison's insurance company will pay a total of $400,000.

Calculate the cost of insurance company

First, we need to add up the total amount awarded to the people injured in the accident. This is $40,000 x 4 + $80,000 x 2 + $160,000 x 1 = $400,000.

Next, we need to look at Allison's insurance policy. She has 50/250 bodily injury insurance, which means that the insurance company will pay up to $50,000 per person and up to $250,000 per accident.

Since the total amount awarded is $400,000, the insurance company will only pay the maximum amount allowed per accident, which is $250,000.

Therefore, the insurance company will pay $250,000 and Allison will be responsible for the remaining $150,000.

Learn more about insurance company at https://brainly.com/question/30167494

#SPJ11

Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle with sides of 6 cm, as shown. The sum of the perimeters of the three small triangles is equal to the perimeter of the remaining grey hexagon. What is the side length of the small triangles?

Answers

The side length of the small equilateral triangles is 3 cm.

What is the side length of the small triangle

Let's call the side length of the small equilateral triangles "x". Since there are three small triangles, the total perimeter of the small triangles is 3x.

The side length of the large equilateral triangle is 6 cm, so each side of the small triangles is a portion of 6 cm. Specifically, each side of the small triangles is (1/2) of a side of the large triangle.

Therefore, the perimeter of each small triangle is 3x, which is made up of three sides of length (1/2)6 cm or 3 cm. So we have:

3x = 3(3 cm) = 9 cm

Solving for x, we get:

x = 3 cm

Learn more on equilateral triangle here;

https://brainly.com/question/10664372

#SPJ1

Walter deposits $203.77 each month into an annuity account for his child's college fund in order to accumulate a future value of $60,000 in 18 years. How much of the $60,000 will Walter ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.

Answers

Based on the amount deposited into the account every month, the amount that Andrew will deposit in the account is $72,548.64. The interest earned will be $17,451.36.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

here, we have,

What amount does Andrew deposit?

This can be found by the formula:

= Amount deposited every month x Number of years x Number of months in a year

= 503.81 x 12 x 12

= $72,548.64

What amount of interest is earned?

This can be found as:

= Future value of amount - Amount deposited

= 90,000 - 72,548.64

= $17,451.36

Find out more on interest earned at

brainly.com/question/25805668.

#SPJ1

Solve the radical equation by drawing your answers below. Be sure to show all your work

Answers

The solution to the radical equation is given as follows:

x = 1.

How to solve the radical equation?

The radical equation for this problem is defined as follows:

1/x + (x - 1)/9x = 1.

To leave the left side with a common denominator, we can multiply 1/x by 9 in the numerator and in the denominator, hence:

9/9x + (x - 1)/9x = 1.

As the left side has a common denominator, we can add the numerators and keep the denominator constant, as follows:

(9 + x - 1)/9x = 1

(8 + x)/9x = 1.

Applying cross multiplication, the value of x is obtained as follows:

9x = 8 + x

8x = 8

x = 8/8

x = 1.

More can be learned about equations at https://brainly.com/question/24808124

#SPJ1

Many sheet materials used in construction, such as plywood or drywall, measure 8 feet by 4 feet. What are these dimensions in inches?

Answers

Well, if one foot=twelve inches, and x=number of inches, then we could say 8(12)=x, and 4(12)=x (but the two x’s are not the same because they’re separate equations) ANYWAY, after you calculate the new dimensions the answer would be 96 inches by 48 inches

Help please, I’m not sure what to put

Answers

The congruency theorem used in each of the triangles are;

14) HL Congruency Theorem.

15) Neither

16) Neither

17) SAS Congruency theorem.

18) Neither

19) AAS congruency theorem.

20) Neither

21) SSS congruency postulate.

How to find the triangle congruency proof?

14) We are given the hypotenuse side and leg as being congruent and as such the congruency proof here is; HL Congruency Theorem.

15) We are not given any congruent side nor angle and as such we can't determine if they are congruent.

16) We two congruent sides and non-included angle and as such they are not congruent.

17) We are given two congruent sides and the included congruent angle and as such the triangles are congruent by SAS Congruency theorem.

18) We two congruent sides and non-included angle and as such they are not congruent.

19) We are given two congruent angles and the non included side and as such they are congruent by AAS congruency theorem.

20) We two congruent sides and non-included angle and as such they are not congruent.

21) The three sides are shown to be congruent and therefore it is congruent by SSS congruency postulate.

Read more about Triangle Congruency at; https://brainly.com/question/1675117

#SPJ1

help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap

Answers

Answer:

Step-by-step explanation:

2

Each marvel bag sold by Amy's marble company contains 7 red marbles for every 4 orange marble. If a bag has 28 orange marbles, home many red marbles does it contain

Answers

If a bag has 28 orange marbles, then it contain 49 red marbles.

What is ratio?

A ratio is a comparison of two quantities or values, expressed in the form of a fraction or a division. Ratios are used to compare the size, magnitude, or quantity of two or more quantities or values.

For example, if there are 10 apples and 5 oranges, we can write the ratio of apples to oranges as 10:5 or 2:1, since there are two times as many apples as oranges. Similarly, if a recipe calls for 3 cups of flour and 1 cup of sugar, we can write the ratio of flour to sugar as 3:1, indicating that there are three times as much flour as sugar.

Ratios can be simplified, converted to equivalent fractions or decimals, or used to solve problems involving proportional relationships between different quantities. They are widely used in many areas of mathematics, science, and everyday life, such as in finance, engineering, and statistics.

According to given condition :

We can start by using the given ratio of 7 red marbles for every 4 orange marbles to find the ratio of red marbles to orange marbles in the bag.

For every 4 orange marbles, there are 7 red marbles, so we can write:

7 red marbles / 4 orange marbles

We can simplify this ratio by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. This gives:

7/4

So the bag contains 7 red marbles for every 4 orange marbles.

If the bag has 28 orange marbles, we can use this ratio to find the number of red marbles in the bag. We can set up a proportion:

7/4 = x/28

where x is the number of red marbles in the bag.

To solve for x, we can cross-multiply:

7 × 28 = 4 × x

196 = 4x

Dividing both sides by 4, we get:

x = 49

Therefore, the bag contains 49 red marbles.

To know more about ratio visit :

https://brainly.com/question/12024093

#SPJ1

Add.
Your answer should be an expanded polynomial in standard form.
(−5n^4+ 8) + (5n^4 + 8n³ + 3n²) =

Answers

Answer:

8n^3 + 3n^2 + 8

Step-by-step explanation:


How many solutions does each system of equations have? Explain how you
can tell.
a. x + 6y = 19
x - 6у = 13
b. 8x +y = 3
-8x - y = 3

Answers

B, it’s a 50/50 chance trust me im lucky

factor help pleaseeeee

Answers

Answer:

(6x+8y)(6x-8y)

Step-by-step explanation:

See attached worksheet.

Forty-four percent of the members of the Science Club wear blue shirts. Which of the following is a binomial experiment?
Selecting eight members randomly and recording whether each member is wearing a blue shirt
Selecting eight members randomly and recording the number in the group wearing a blue shirt
Selecting members randomly until one without a blue shirt is chosen
Selecting members randomly until one with a blue shirt is chosen

Answers

Option A is correct.

Selecting eight members randomly and recording whether each member is wearing a blue shirt.

A binomial experiment is defined as a statistical experiment which consists of n repeated trials. Only two possible outcomes are possible in each trial- either its a success or a failure. Here the probability of success remains the same on every trial.

Here, in 8 members the person wearing blue will be a success others will be a failure outcome.

Answer:

a

Step-by-step explanation:

The angle of depression from the top of Pike’s Peak, at an altitude of 14,000 feet, to the city of Colorado Springs is 8o. The horizontal distance from the city to the peak is 58,000 feet. Find the altitude of Colorado Springs.

Answers

Answer:

[tex]\mbox{\large \boxed{\textsf{5, 849 \;feet}}}[/tex]

Step-by-step explanation:

See figure for information pertaining to this explanation

The figure is self explanatory

The triangle ABC forms a right triangle with the vertical leg of length 14000-h and horizontal length of 58000

The angle opposite side 14000 - h = 8°

By the tangent formula


[tex]\tan 8^\circ = \dfrac{AB}{AC} = \dfrac{14000-h}{58000}[/tex]

Switching sides,

[tex]\dfrac{14000-h}{58000} = \tan 8^\circ[/tex]

[tex]14,000 - h = 58,000 \times \tan 8^\circ\\\\14,000 - h = 8,151.36 \approx 8,151[/tex]

h = 14,000 - 8,151 = 5,849 feet

So the altitude of Colorado Springs is roughly 5,849 feet

This is close to the published value of 6,035 feet. The differences are due to estimate errors in horizontal distance, peak height and angle of depression

Two friends shop for fresh fruit. Elena buys a watermelon for ​$8.55 and 5 pounds of cherries. Taniy buys a pineapple for ​$4.45 and 4 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.

Answers

The expression to represent how much more Elena spent is 4.1 + p.

How to find the expression to represent a situation?

Two friends shop for fresh fruit. Elena buys a watermelon for ​$8.55 and 5 pounds of cherries. Taniya buys a pineapple for ​$4.45 and 4 pounds of cherries.

Therefore, the expression to represent how much more Elena spent can be represented as follows:

hence,

p = price in​ dollars, per pound of cherries.

Hence,

amount Elena spent more = 8.55 + 5p - (4.45 + 4p)

amount Elena spent more = 8.55 + 5p - 4.45 - 4p

amount Elena spent more = 8.55 - 4.45 + 5p - 4p

Therefore,

amount Elena spent more = 4.1 + p

learn more on expression here: https://brainly.com/question/20324693

#SPJ1

Pls help will mark Brainly est pls help 100 points please

Answers

1. Another point on the graph p(x) is (5, 9)

2. the vertex of the q(x) is (4, 10).

The other two points on the q(x) are (0, 2) and (2, 8).

What is a parabola?

Parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus ) and a fixed straight line (the directrix ).

Given:

The two equations of the quadratic functions are;

p(x) = -(x - 1)² + 10

q(x) = 1/2(x - 4)² + 10.,

The graph of p(x) and q(x) is given in the image below.

1. Another point on the graph p(x) is (5, 9)

2. the vertex of the q(x) is (4, 10).

The other two points on the q(x) are (0, 2) and (2, 8).

3. Yes the assumption is correct.

Therefore, all the required values are given above.

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ1


What measure is equivalent to 3/4

Answers

Answer: 12 tablespoons

Step-by-step explanation: 3/4 of a cup is equal to 6 fluid ounces or 12 tablespoons.

What is x equal to in the equation 2x+7=16? Give your answer as an improper fraction in its simplest form.

Answers

Answer:

[tex]x=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]2x=9 \implies x=\frac{9}{2}[/tex]

5,694 x 5 PLEASE HELP MEEEE!!!!!!!

Answers

Answer:

5,694 x 5 = 28,470

Step-by-step explanation:

You're welcome


Answer:
28,470

Explanation:
i used a calculator

Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

Answers

Answer: Infinite solutions.

Step-by-step explanation:

To graph both these equations, you need to make them slope intercept form (which is y = mx + b):

x + 2y = -2 in slope intercept form is y = -1/2x - 1 (subtract x from both sides then divide both sides by 2).

-3x - 6y = 6 in slope intercept form is y = -1/2x - 1. (add 3x to both sides then divide both sides by -6).

These are the same lines, so there are an infinite number of solutions when you graph.

Hope this helps!

First, rewrite the equations in the form y=max + b, then graph.

You can see the graphs intersect once, so there is one solution. Estimate this solution to be at (-2,0).

Then, plug in this point into the two equations (when they are equal to each other) to see if it works.

Both sides equal to zero, so there is one solution where x = -2, y= 0 (-2, 0)

I don’t know how to do this please help it’s #11 btw thx in advance

Answers

The values of x and y are:

x = 3.16

y = 4.47

What is trigonometry?

Trigonometry is a topic which deals with the relation between angles and sides of a right angled triangle. It can be used to determine the value of the  unknown in a given question. The basic functions in trigonometry are: sine, cosine and tangent.

In the given diagram, we have;

i. To determine the value of x,

Tan θ = opposite/ adjacent

Tan 45 = x/ (10)^1/2

x = Tan 45*(10)^1/2

  = 3.16

x = 3.16

ii. To determine the value of y, we have;

Cos θ = adjacent/ hypotenuse

Cos 45 = (10)^1/2 / y

y = (10)^1/2 / Cos 45

 = 4.47

y = 4.47

Learn more about trigonometry at https://brainly.com/question/25618616

#SPJ1

if 132=(6x+30) what is the value of x

Answers

Answer:

x=17

Step-by-step explanation:

132 + (-30) = (6x+30) + (-30)

132 - 30 =6x + 30 - 30

102 =6x

6x/6 = 102/6

(This step has a picture)
x=17

I need help with my homework please help

Answers

The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

How to determine the transformation rule for each case

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Translation: (x, y) → (x + a, y + b), where a, b are real numbers.Reflection about x-axis: (x, y) → (x, - y)Reflection about y-axis: (x, y) → (- x, y) Rotation: (x, y) → (x · cos θ - y · sin θ, x · sin θ + y · cos θ), where θ is the angle of rotation.

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

To learn more on rigid transformations: https://brainly.com/question/28004150

#SPJ1

What is the slope of the function?

–3
–2
3
4

Answers

The slope of the function is equal to: C. 3.

How to calculate the slope of a line?

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (4 - 1)/(0 - (-1))

Slope, m = 3/4=1

Slope, m = 3.

Read more on slope here: brainly.com/question/16897180

#SPJ1

The team manager has a large cylinder water cooler that measures 14 inches in diameter and is 20 inches tall. She wants to fill the players' cylindrical water bottles that are each 3 inches in diameter and 10 inches tall. If the cooler is full how many water bottles can she completely fill?

Answers

The total number of bottles that can be filled are 41.

What is area of cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

the volume of a cylinder is given by the formula as

Volume of cylinder = πr²h,

where r is the radius of the cylinder and h is its height.

We are given the radius of the water cooler is 7 inches

also the height of water cooler is 20 inches.

We calculate its volume by substituting the values in the volume formula

Volume of the cooler = π(7²)(20)

Volume of the cooler = 2,940π cubic inches

Now also we given the radius and height of the bottles

We similarly calculate the volume of each bottle by substituting the values in the formula

Volume of the bottle = π(1.5²)(10)

Volume of the bottle = 70.685π cubic inches

Now finally to find the total number of bottles we divide the volume of cooler by the volume of bottles we get

Number of bottles = Volume of the cooler / Volume of the bottle

                                =2,940π) / (70.685π)

                                =41

Therefore, the team manager can completely fill about 41 water bottles.

Given below is a sample of Volume of cylinder please refer the link

https://brainly.com/question/16134180

#SPJ1

Brainliest

What is the correct standard form of the equation of the parabola?

Enter your answer below. Be sure to show each step of your work.

You dont have to answer if you dont know..

Answers

The correct standard form of the equation of the parabola is,

⇒ y = 1/4(x - 2)² - 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

The equation of the parabola with vertex (h, k) is,

⇒ y = a(x - h )² + k

Thus, The equation of the parabola is,

⇒ y = a(x - 2)² - 5

To find a, use the fact that the parabola passes through the point (4,−4):

⇒ - 4 = 4a - 5

Solving this equation, we get;

⇒ a = 1/4.

Thus, The equation of the parabola is,

⇒ y = 1/4 (x - 2)² - 5

Learn more about the mathematical expression visit:

brainly.com/question/1852123

#SPJ2

Find the area. Simply your answer. 3x and x+2

Answers

Answer:

4x+2

Step-by-step explanation:

Add common numbers together.

3x + x = 4x

Therefore, the answer is 4x+2.

Hope this helps ^_^

What is the value of 2.7 liters in ounces

Answers

One liter is equal to 33.814 ounces, so 2.7 liters is equal to 90.772 ounces. This can be calculated using the following formula, which is multiplying 2.7 by 33.814: 2.7 x 33.814 = 90.772.

To calculate the number of ounces in a given amount of liters, this formula can be used. This can be calculated using the following formula, which is multiplying 2.7 by 33.814: 2.7 x 33.814 = 90.772.This is useful for quickly and accurately converting between liters and ounces, which can come in handy when measuring liquids or other substances. For example, if a recipe calls for 2.7 liters of a certain ingredient, you can easily convert that to ounces using the formula.

Learn more about liter here:

https://brainly.com/question/15899704

#SPJ4

linda wants new carpeting for her bedroom her bedroom is a 75m by 50m rectangle if carpeting cost AED 12 per square meters how much will it cost to lay carpet for her entire bedroom?
please answer as soon as possible i need this question

Answers

The required cost to lay carpet for her entire bedroom is 45,000.

What is rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

According to question:

To calculate the cost of carpeting Linda's bedroom, we need to find the area of the rectangle:

Area = length x width

Area = 75m x 50m

Area = 3750 square meters

Then, we can multiply the area by the cost per square meter of carpeting:

Cost = Area x Cost per square meter

Cost = 3750 square meters x AED 12/square meter

Cost = AED 45,000

Therefore, it will cost AED 45,000 to lay carpet for Linda's entire bedroom.

To know more about Rectangle visit:

brainly.com/question/29123947

#SPJ1

will give brainliest plss!!!!! helpleleepepPLS!

i numbered all of them so it would be easy for you to tell me them in order, hope it helps ):
“Sort these cards into 2 Piles.”

Answers

The relation which are function is shown below.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x.The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.

We know that a relation is said to be function if one input have only one output.

1. The relation is not function because the input 6 have two output values

5 and 10.

2. The relation is a function because the each input have one output values.

3. The relation is a function because the each input have one output values.

4. The relation is not function because the input 4 have two output values .

5. The relation is a function because the each input have one output values.

6. The relation is not function because the input have two output values.

7. The relation is a function because the each input have one output values.

8. The relation is not function because the input have two output values.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ1

The census bureau reports that the mean and median incomes of people who worked full time in 2001 and had at least a bachelors degree were $53,054 and $72,674

Answers

The mean income, of people who worked full-time in 2001 and had at least a bachelor's degree, was $53,054. while the median income was $72,674.

What are the mean and median?

The mean is the average value.  The mean is computed as the quotient of the total value divided by the number of values.

The median is the middle value of the data set in an ordered list.

Both the mean and the median are described as measures of central tendency.

Thus, we can identify the mean value as $53,054 since it was the first to be mentioned, followed by the median income as $72,674.

Learn more about the mean and the median at https://brainly.com/question/6281520.

#SPJ1

Question Completion:

Which of these numbers is the mean and which is the median? Explain your reasoning.

Other Questions
What is Mast o in medical terms? carmie iria, the director of a systems project committee, has received management approval for the implementation of a new accounting information system. after sending out an rfp to multiple vendors, the committee settled on purchasing a system from optibase, a vendor who will provide the company with all of the required hardware and software. carmie's committee has opted to purchase _____ Edward deposited $7000 into a savings account 3 years ago. The simple interest rate is 2%. How much money did earn in interest? the primary mirror of telescope a has a diameter of 20 cm, and telescope b has a diameter of 100 cm. how do the light gathering powers of these two telescopes compare? What is the sociological definition of culture? Who is KitchenAid target market? How can my answers be verified? Question content area topPart 1The brain volumes (cm3) of 50 brains vary from a low of 904 cm3 to a high of 1488 cm3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 156.9 cm3, assuming the estimate is accurate if it is within 15 cm3.Question content area bottomPart 1The estimated standard deviation is enter your response here cm3.(Type an integer or a decimal. Do not round.) explain about ut austin course schedule how to convert Hz to rad/s? How Much Does a Fuel Injector Replacement Cost? A trip to Washington from Boston will take you 5 3/4 hours. If you have traveled 1/3 of the way how much longer will the trip take 1. Necessary and Probabilistic Reasoning - Deduction and InductionEvery argument may be classified as either deductive or inductive. The difference between these two categories of arguments has to do with the strength of the argument's inferential claim. In a deductive argument, the conclusion is claimed to follow from the premises by necessity. This means that if a deductive argument is a good one, it is impossible for the conclusion to be false when the premises are all true. By contrast, an inductive argument involves probabilistic reasoning. In an inductive argument, the conclusion is claimed to be only probably true given the premises. This means that if an inductive argument is a good one, then when the premises are all true, the conclusion is probably also true (but not definitely).Consider the following arguments. Each argument is either a deductive argument or an inductive argument. For each argument, indicate whether the conclusion follows from the premises by necessity or by probability and whether the argument is deductive or inductive.Argument AThis morning I discovered a ring-shaped coffee stain on my desk. Therefore, it can be concluded that someone left a cup of coffee on my desk overnight.In Argument A, the conclusion follows by _______ (necessity/probability) , so the argument is ______ (inductive/deductive)Argument BIf today is Saturday, then tomorrow is Sunday. But if tomorrow is Sunday, then the day after tomorrow is Monday. Therefore, if today is Saturday, then the day after tomorrow is Monday.In Argument B, the conclusion follows by _______ (necessity/probability) , so the argument is ______ (inductive/deductive)Argument CIf this winter had been exceptionally cold, then my rose garden would have died from frost. Since my rose garden did not die from frost, it follows that this winter was not exceptionally cold.In Argument C, the conclusion follows by _______ (necessity/probability) , so the argument is ______ (inductive/deductive)Argument DAfter carefully considering relevant factors such as supply and demand, pricing analysts issued a statement Tuesday predicting that gasoline prices would rise steadily over the next few months. Based on the expertise of the pricing analysts, we can assume that gasoline prices will show the predicted uptrend.In Argument A, the conclusion follows by _______ (necessity/probability) , so the argument is ______ (inductive/deductive) Why is it called Killer Angels? NO 0.210.340.45O 0.555Mark this and return678For students majoring in Hospitality Management, it was determined that 5% have visited 1-10 states, 16% havevisited 11-20 states, 45% have visited 21-30 states, 19% have visited 31-40 states, and 15% have visited 41-50states. Suppose a Hospitality Management student is picked at random. What is the probability that the student hasnot visited between 21 and 30 states?10Save and ExitextSubmit now, in a pargraph, describe how imperialism ,colonialism and mercantilism are related What is Danny saying in The Shining? azulene and naphthalene (below) are cyclic, conjugated constitutional isomers with very different properties. naphthalene is colorless with no net dipole, while azulene is a bright blue compound with a very strong dipole. explain why the electronic properties of these molecules are so different. (this will require at least one resonance structure). "Discuss the implications of the Turing Test for artificial intelligence. In what ways does the test succeed or fall short in evaluating the true intelligence of a machine?"Brainiest answer Find a particular solution y, of the following equation using the Method of Undetermined Coefficients. Primes denote the derivatives with respect to x. y'' + 17y=3e^8xA particular solution is y,(x) =