Why is 3.14 called pi?

Answer:

you got them all correct! good job :)

Step-by-step explanation:

To complete the square for the given equation, we rearrange the terms and group the x-terms and y-terms separately:

2y² - x² + 4y + 4x - 4 = 0

First, we complete the square for the x-terms:

x² + 4x = -(x² - 4x + 4) = -(x - 2)²

Next, we complete the square for the y-terms:

2y² + 4y = 2(y² + 2y) = 2(y² + 2y + 1) - 2 = 2(y + 1)² - 2

Now we can rewrite the equation in standard form:

2(y + 1)² - (x - 2)² - 2 = 0

To determine the properties of the hyperbola, we can compare the equation to the standard form:

[(y - k)² / a²] - [(x - h)² / b²] = 1

From the equation, we can see that the center (h, k) is (2, -1). The value of a can be found by taking the square root of 2, so a = √2. The value of b can be found by taking the square root of 1, so b = 1.

Therefore, the center of the hyperbola is (2, -1), the transverse axis is vertical, the vertices are at (2, -1 ± √2), the asymptotes have the equations y = ±(√2 / 2)(x - 2) - 1, and the foci are at (2, -1 ± √3).

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The coefficient of correlation, denoted by r, measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1.

The correct answer is: c. The coefficient of correlation squared, r-squared (r^2), represents the proportion of the variance in one variable that can be explained by the linear relationship with the other variable. It is the square of the coefficient of correlation.

The coefficient of correlation, also known as the correlation coefficient, is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It is denoted by the symbol "r".

The coefficient of correlation takes on values between -1 and 1. A value of -1 indicates a perfect negative linear relationship, where as one variable increases, the other variable decreases in a perfectly consistent manner.

A value of 1 indicates a perfect positive linear relationship, where as one variable increases, the other variable also increases in a perfectly consistent manner. A value of 0 indicates no linear relationship between the variables.

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Answer:

1)  3x+4y=8

4y=-3x+8

4y/4=-3x/4+8/4

y=-3/4x+2

slope=-3/4

Y intercept=2

2) 9x+35=-5y

-5y/-5=9x/-5+35/-5

y=-9/5x-7

slope=-9/5

y intercept=-7

3)2y-6=-6x

2y−6+6=−6x+6

2y /2−6x/2+6 /2

y=−3x+3

slope is -3x

y intercept is 3

Answer: 1 tablespoon

Step-by-step explanation:

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".

The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.

Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.

The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.

Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.

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Answer:

the mode number of hours is 4 because is the hour spent mostly on the computer

therefore the mode number of hours is 4 hours

The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.

False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.

For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.

In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.

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Answer:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.

Answer:

Table D is proportional

Step-by-step explanation:

the ratio of 2:1 is true throughout each coordinate pair.

Answer:

Table D

Step-by-step explanation:

The description provided suggests the formation of star dunes in desert environments. Star dunes are the largest type of dunes, reaching heights of over 650 ft.

Star dunes are a type of sand dune characterized by multiple radiating arms that extend in different directions from a central point. They are often found in desert regions where the wind patterns are highly variable, blowing from different directions. The wind's variability causes the sand to accumulate and form the distinct star shape of the dune.

Due to the shifting wind patterns, the arms of the star dune can change in length and direction over time. The sand supply available for the dune formation can also vary, range from limited to abundant. These factors contribute to the growth and size of star dunes, making them the largest dunes found in deserts.

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The given statement "as the confidence level increases the confidence interval will get narrower group" is False. This is because increasing the confidence level requires a higher level of certainty that the true population parameter falls within the interval, which in turn requires a wider range of possible values.

As the confidence level increases, the width of the confidence interval will also increase, not decrease.

For example, if we want to be 90% confident that the population mean falls within a certain interval, the range of values in that interval will need to be wider than if we only want to be 80% confident. Conversely, if we are willing to accept a lower level of confidence, such as 50%, then the range of values can be narrowed and the interval will be smaller.

Therefore, there is a trade-off between the width of the interval and the level of confidence, and a researcher must decide on an appropriate balance between the two based on the specific research question and context.

So, the given statement is false.

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The equation of the straight line in slope-intercept form is; y = 2 - x/4

The equation of a straight line can be expressed in the slope-intercept form as; y = m·x + c, where;

m = The slope of the line

c - The y-intercept

The coordinates of points on the line are; (-4, 3), (4, 1)

The slope of the line is therefore;

Slope = (1 - 3)/(4 - (-4)) = -2/8 = -1/4

The equation of the line in point-slope form is therefore;

y - 3 = (-1/4)·(x - (-4))

y = (-1/4)·(x - (-4)) + 3

y = -x/4 - 1 + 3 = -x/4 + 2

The equation of the line in slope-intercept form is therefore; y = -x/4 + 2

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Answer: 17

Step-by-step explanation:

Answer:

x = 17°

Step-by-step explanation:

The given angles are,

→ 6x + 8

→ 4x + 2

Now we have to,

→ find the required value of x.

Forming the equation,

→ (6x + 8) + (4x + 2) = 180°

{As two angles in a straight line is 180°}

Then the value of x will be,

→ (6x + 8) + (4x + 2) = 180°

→ 6x + 4x + 8 + 2 = 180°

→ 10x + 10 = 180°

→ 10x = 180° - 10

→ x = 170/10

→ [ x = 17° ]

Hence, the value of x is 17°.

The area of the square is 144 \(cm^{2}\).

Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.

We know, both these perimeters are equal. Hence,

4x = 3(x+4)

To further simplify the above equation.

4x = 3x + 12

x = 12

Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:

Area = \((side)^{2}\)

Area = 12 * 12

Area = 144 \(cm^{2}\)

Hence, the Area of the Square is 144 \(cm^{2}\)

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\(a = 18\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(b = 3\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: b= 3; 9= 18

Step-by-step explanation:

You can use the length of the triangles’ base to find the scale factor.

15/5 = 3.

now that we know the scale factor, just use it to determine b and a.

to find a, multiply 6 by the scale factor because the bigger triangle was scaled up

6x3=18 a=18.

to find b, divide 9 by the scale factor because the smaller triangle is being scaled down by 3 compared to the bigger one.

9/3=3 b=3.

you should have your answer by now.

Answer:

17.50 per ticket

Step-by-step explanation:

If Hector paid $105 for 6 tickets, each ticket cost $105/6 = $<<105/6=17.50>>17.50.

Answer:

6

Step-by-step explanation:

First is $677.5

Second is 2.8%

Third is  increase, decrease, and increase i believe

The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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Answer:

(-(7-9))(z)-6z= 8(-6+2)

Simplify

-(-2)(z) -6z =8(-6+2)

Multiply 8*-6 and 8*2

2z -6z= -48+16

Combine like terms

2z+-6z =-32

-4z=-32

Divide both sides by -4

z=8

Step-by-step explanation: