Select the correct answer.

Which of the following statements is correct about quadratic number patterns?

A. The second difference is constant.

B. The third difference is greater than zero.

c. The first difference is constant.

D. The difference between terms is always positive.

The rectangular coordinates, (x, y) for P include the following: C. (4, -4√3).

In Mathematics and Geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules can be represented by the following polar functions:

x = rcos(θ)    ....equation 1.

y = rsin(θ)     ....equation 2.

Where:

Based on the information provided by the polar graph, we can logically deduce that point P has a radius of 8 units and it's positioned 2 angular lines beyond 3π/2:

Angle (θ) = 3π/2 + (2 × π/12)

Angle (θ) = 3π/2 + π/6

Angle (θ) = 10π/6 = 5π/3.

Therefore, the rectangular coordinate (x, y) are given by:

x = 8cos(5π/3)

x = 8 × 1/2

x = 4.

y = 8sin(5π/3)

y = 8 × (-√3/2)

y = -4√3

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Answer:

The key to this question is converting all the mass units to the same unit and adding them all up.

The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

\(450gm * \frac{1}{1000} = 0.45kg\)

Now let's add up all the masses.

\(53.6kg + 0.45kg + 4.5kg = 58.55 kg\\\)

(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)

To convert this into weight in Newtons, multiply by 9.81 m/s^2

\(58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N\)

Answer:

1.6 kilometres

Step-by-step explanation:

Well, multiply 3.2cm with 50000 and there's your answer. That's the point of the scale, it gives you a quick and easy way to convert distances on the map to distances in nature.

I'll make it even easier for you, I'll convert to kilometers. You have centimeters on map, so take 2 zeros off and you have meters, take 3 more zeros off, and you have kilometers. That makes it 3.2*0.5 which is 1.6 kilometers, or approximately one american imperial mile.

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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The graph indicates that any value of p to the right of the open circle (greater than 27) satisfies the inequality 3 < p/9.

To solve the inequality 3 < p/9, we can start by multiplying both sides of the inequality by 9 to eliminate the fraction:

3 * 9 < p

27 < p

So the solution to the inequality is p > 27.

Now, let's graph the solution on a number line. Since the inequality is p > 27, we will represent it with an open circle at 27 and an arrow pointing to the right to indicate that the values of p are greater than 27. Here's how the graph would look:

markdown

Copy code

----------------------> (number line)

      o

     27

The graph indicates that any value of p to the right of the open circle (greater than 27) satisfies the inequality 3 < p/9.

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Answer:

1.55

Step-by-step explanation:

3.19 + 2.39 = 5.58

5.58 / 3.6 = 1.55

The total cost of the condiments, please provide that information and I can assist you further in determining how much each friend would pay for the condiments.

To determine how much each friend would pay for the condiments, we need to know the total cost of the condiments and the number of friends. Unfortunately, you haven't provided the total cost of the condiments.

Since you mentioned the cost of a steak, which is unrelated to the condiments, I'll assume that you want to split the cost of the steak among the five friends.

If the steak cost $8.92 and you want to split the cost equally among five friends, each friend would pay:

8.92 / 5 = $1.784

Each friend would pay approximately $1.784 for the cost of the steak. Keep in mind that this calculation assumes an equal split of the steak's cost not the condiments.

We must know the overall cost of the condiments as well as the number of friends in order to calculate how much each friend would pay for the condiments. Unfortunately, you haven't said how much the condiments cost in total.

I'll infer that you wish to divide the cost of the steak among the five buddies since you brought up the price of a steak, which is unrelated to the condiments.

Each buddy would pay: 8.92 / 5 = $1.784 if the steak cost $8.92 and you wanted to spread the expense evenly among five friends.

The price of the steak would be around $1.784 for each buddy. Remember that the cost of the steak is divided equally in this computation, not the cost of the condiments.

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The number of genes which make up the human genome as required in the task content is; 20,000 - 25,000 genes.

The human genome project came to the conclusions that;

Also, it is note worthy to know that Adenine, Guanine, Cytosine and thymine are nucleotide bases in DNA.

However, since the required data is the number of genes which make up the human genome, it follows that the human genome contains 20,000 - 25,000 genes.

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Answer:

c

Step-by-step explanation:

have a great day

your question:

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

answer:

translation

hope this helps, have a good night :)

Answer:

translation im pretty sure

Answer:

1 mile

Step-by-step explanation:

Jamal's Distance = 3 miles

Since Brendan lives 2 miles closer than Jamal, you do 3 - 2 = 1

Since Jamal lives 1 mile closer than Aisha, you do 3 - 1 = 2

Then, you do 2 - 1

Answer: 1

Answer:

30 feet

Step-by-step explanation:

The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.

Answer:

\(the \: probability \: is \: \frac{5}{60} \\ when \: simplified \: becomes \: \frac{1}{12} \)

Step-by-step explanation:

The solution is in the image

The values οf the basic trigοnοmetric functiοns fοr an angle in standard pοsitiοn passing thrοugh (6,8) are:

\(\sin \theta &= 0.8\\\) \(\cos \theta &= 0.6\), etc.

Trigοnοmetry is a branch οf mathematics that deals with the study οf triangles and the relatiοnships between their sides and angles.

We can begin by finding the length οf the hypοtenuse οf the right triangle fοrmed by the given pοint and the οrigin. This will give us the value οf the trigοnοmetric functiοns sine, cοsine, and tangent.

The hypotenuse can be found using the Pythagorean theorem:

\(c^2 &= a^2 + b^2\)

\(&= 6^2 + 8^2\)

\(&= 36 + 64\)

\(&= 100\)

\(c &= \sqrt{100}\)

\(c &= 10\)

Therefore, the point (6,8) is 10 units away from the origin.

The sine of the angle can be found by dividing the opposite side (8) by the hypotenuse (10):

\(\sin \theta &= \frac{8}{10}\)

\(&= 0.8\)

The cosine of the angle can be found by dividing the adjacent side (6) by the hypotenuse (10):

\(\cos \theta &= \frac{6}{10}\)

\(&= 0.6\)

The tangent of the angle can be found by dividing the opposite side (8) by the adjacent side (6):

\(\tan \theta &= \frac{8}{6}\)

\(&= \frac{4}{3}\)

Therefore, the values of the basic trigonometric functions for an angle in standard position passing through (6,8) are:

\(\sin \theta &= 0.8\)

\(\cos \theta &= 0.6\)

\(\tan \theta &= \frac{4}{3}\)

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The probability of drawing a diamond from a deck of cards is 1/4. So, the odds in favor of drawing a diamond from an ordinary deck of cards are 1/3.

A deck of cards has 52 cards in it, and there are 13 cards of diamonds in it. So, the probability of drawing a diamond is 13/52. Simplifying 13/52, we get 1/4. The odds of an event happening are the ratio of the probability of an event happening to the probability of an event not happening. It's expressed in the form of x:y.

The probability of an event happening is the probability of success. The probability of an event not happening is the probability of failure. In the current scenario, the probability of drawing a diamond is 1/4. So, the probability of not drawing a diamond is 3/4. Therefore, the odds in favor of drawing a diamond are:

=1/3

The odds in favor of drawing a diamond from an ordinary deck of cards are 1/3.

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The slope of a beer's law plot represents that one can quantitatively determine the molar absorptivity of a substance, which is essential for accurately determining concentrations of unknown samples using spectrophotometric methods.

In Beer's law, the relationship between the concentration of a substance and its absorbance is described by the equation A = εbc, where A is the absorbance, ε is the molar absorptivity (also known as the molar absorptivity coefficient), b is the path length of the sample, and c is the concentration of the substance.

When plotting a graph of absorbance versus concentration, the slope of the line represents the molar absorptivity (ε). The molar absorptivity is a constant that reflects the substance's ability to absorb light at a specific wavelength. A higher molar absorptivity indicates that the substance has a greater tendency to absorb light and is more sensitive to changes in concentration.

Conversely, a lower molar absorptivity indicates weaker absorption characteristics.

In summary, by measuring the slope of the Beer's law plot, one can quantitatively determine the molar absorptivity of a substance.

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Answer:

1 1/4 liters of paint

Step-by-step explanation:

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?

From the above question, we can deduce that:

2 liters of paint covers 1 3/5 doors

Hence:

1 3/5 doors = 2 liters of paint

1 door = x liters of paint

Cross Multiply

1 3/5 doors × x liters = 2 liters × 1 door

x liters = 2 liters × 1 door/ 1 3/5 doors

x liters = 2 ÷ 1 3/5

x liters = 2 ÷ 8/5

x liters = 2 × 5/8

x liters = 5/4 liters

x liters = 1 1/4 liters of paint

Hence: 1 1/4 liters of paint is needed for 1 door

Answer:

2.5 Boxs (3 boxes rounded)

Step-by-step explanation:

Moana has 6 friends and each wants 5 cookies

We multiply 6 times 5 and get 30.

30/12 is 2.5 meaning Moana will need 2 and a half boxes of cookies, or rounded up 3 boxs

Answer:

D)44 degrees

Step-by-step explanation:

2y+y+48=180

3y=132

Y=44

Answer:

882 cubic ft.

Step-by-step explanation:

10.5 x 10.5 = 110.25

110.25 x 8 = 882 ft

Answer:

the volume of a room = 882 ft³

Step-by-step explanation:

given;

dimensions  of a room 10 1/2 ft. x 10 1/2 ft. x 8 ft.

find:

volume

volume = L x W x H

let L = 10 1/2 ft.

W = 10 1/2 ft.

H = 8 ft.

plugin values into the formula:

V = 10.5 x 10.5 x 8

V = 882 ft³

therefore,

the volume of a room = 882 ft³

Answer:

I believe it's choice (3) because the exponent of x is 25 and it's the largest exponent of the choices.

Step-by-step explanation:

Answer:

C. 25x^10+3x-15

Step-by-step explanation:

The degree of 3x^8-2x^7+x^6 is 8

The degree of 5x-100 is 1

The degree of 25x^10+3x-15 is 10

The degree of 134x^2 is 2

Therefore the largest degree is 10

Answer:

75

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The answer would be D. We can continue the line from the point (-2,8) because we know the slope so we will continue it forward by two on the x axis. Since we go forward by two we are going up by 24 (12*2) on the y axis so the y intercept (b) would be 8 + 24 which is 32. Sorry if it is hard to understand.

The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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Answer:

8 in

Step-by-step explanation:

First of all we have to find the area of the base triangle.

For do this we can use this formula:

A = (base edge x base height)/2

A = (9 x 4)/2 = 18 in^2

The formula for find the volume of a pyramid is:

V= Base area x height)/3

So the height can be find in this way

3 x  V = base area x height

height = (3 x V)/base area

height = (3 x 48)/18 = 8 in

Answer:

pretty sure it is 8in I think

Answer:

x = 4 ± \(\sqrt{73}\)

Step-by-step explanation:

d it is the answer all the way at the bottom