Consider the relation given by the set of ordered pairs.

{(−6,2),(−4,−2),(3,5),(−4,3),(2,5),(−2,4)}

Which ordered pair should be removed so that the relation represents a function?

Responses

A.(−6,2)

B.(−4,−2)

C.(−2,4)

D. (2,5)

Answer:

  30°

Step-by-step explanation:

You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.

The sine of the angle is the ratio of the height to the straight-line distance.

  sin(θ) = h/d = 2900/5800 = 1/2

  θ = arcsin(1/2) = 30°

The angle of elevation is 30° from the base to the top.

Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember  sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5  Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30

sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°

Step-by-step explanation:

Answer:

The circumcenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (3,2).

To find the circumcenter, use the formula:

Cx = (x1 + x2 + x3)/3

Cy = (y1 + y2 + y3)/3

In this case, Cx = (0 + 2 + 5)/3 = 3

Cy = (0 + 4 + 1)/3 = 2

Therefore, the circumcenter of the triangle is located at (3,2).

The orthocenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (2.5, 2.5).

To find the orthocenter, use the following equation:

Hx = (x1 + x2 + x3)/3

Hy = (y1 + y2 + y3)/3

In this case, Hx = (0 + 2 + 5)/3 = 2.5

Hy = (0 + 4 + 1)/3 = 2.5

Therefore, the orthocenter of the triangle is located at (2.5, 2.5).

Step-by-step explanation:

Answer:

The first answer on the bottom goes with the picture on top.

The second answer on the bottom goes with the table on the bottom.

Step-by-step explanation:

It is just asking you to list the x values and the y value.  The x values are the domains and the y values are the ranges.  That's it.

The value of the function of f(x) + g(x) is 2x + 1.

What is operation of functions?

Regarding the four fundamental algebraic operations, functions perform exactly as expected (addition, subtraction, multiplication, and division). However, when functions are combined using these operations, the domain of the new combined function only consists of the components that the domains of the original functions had in common. The formulas for combining functions are listed below.

f(x) = 4x + 1 and g(x) = -2x

f(x) + g(x) = 4x + 1 - 2x

= 2x + 1

Hence, the value of the function f(x) + g(x) is 2x + 1.

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The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

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Answer:

72

Step-by-step explanation:

We are told that line AC divides angle BAE in half or "bisects" it. We are also told that line AD divides angle CAE in half as well. Lastly we are giving the value of angle DAE which is 36.

Since line DA split angle CAE in half and we have half of the value, that means that the measure of angle CAE is 36 times 2 which is 72.

72 happens to be our answer for angle BAC because angle BAC is half of the largest angle BAE, which was divided in two by line AC.

Hope this helps!

(a) The probability of either A or B occurring is 0.81.

(b) The probability that neither A nor B will happen is 0.19.

In the given question,

P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42

(a) We have to find the probability of either A or B occurring.

P(A)=0.39

P(B)=0.42.

Since, events A and B are mutually exclusive

P(A and B) = 0

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.39 + 0.42 - 0

P(A or B) = 0.81

Probability of either A or B occurring is = 0.81

(b) Now we have to find the probability that neither A nor B will happen.

P(A or B) = 0.81

Probability that neither A nor B will happen = 1 - P(A or B)

Probability that neither A nor B will happen = 1 - 0.81

Probability that neither A nor B will happen = 0.19

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The right question is:

The events A and B are mutually exclusive. Suppose P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42.

(a) What is the probability of either A or B occurring? (Round your answer to 2 decimal places.)

(b) What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.)

The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer is 2 coscec 4x.

Cosecant is one of the trigonometric ratios . It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle. It is also calculated as the reciprocal of the sine function.

Now, here if the vertical asymptotes is x = pi/4 + pi/4 (n).

This is not defined when n=0.

so, when x= pi/4,

sin 4x = sin x = 0

which means w =0 .

and we get the equation for cosecant function  to be f(x)= 2 cosec 4x since cosec x = 1/ sin x.

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Answer:

x =4 & y = -7

Step-by-step explanation:

this is the right answer

Answer:

The answer is (-9, 5). Hope this helps.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.

Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Given:

The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)

Angle of rotation = 90° about the origin

According to the question, let's take our start point as A(x, y)

So, A( x, y) will lie in the first quadrant.

After 90° rotation about the origin A' will lies in fourth quadrant.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

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The total probability that the result of a test will be positive is

P(A) = 14%.

Now, According to the question:

We have following the some steps for the solving question:-

Step 1. Give algebraic names to various events described:

Let the event A represent the event that the diagnostic test gives a positive result, the event [tex]E_1[/tex] represent the event that a person has the particular disease, and, the event [tex]E_2[/tex] = not [tex]E_1[/tex] represent the event that a person does not have the particular disease.

Step-2: Evaluate the given situation mathematically.

It is given that ninety percent of the people who have the disease will have a positive result on a given diagnostic test.

In other words, the conditional probability of the event that the diagnostic test gives a positive result (A) given that the tested person has the disease ([tex]E_1[/tex]), is given to be 90%. Thus, P(A|[tex]E_1[/tex]) = 90%

In other words, the conditional probability of the event that the diagnostic test gives a negative result (Not A), given that the tested person does not have the disease ( [tex]E_2[/tex] = not [tex]E_1[/tex]), is given to be 90%.

Thus,  P(not A|[tex]E_2[/tex]) = 90%.

Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease ([tex]E_1[/tex]) has the probability of 5% .

Thus, P([tex]E_1[/tex]) = 5%.

It is needed to find what percent of that population would test positive for the disease.

Thus, the probability that a person will have a positive result when tested,

P(A), is to be determined.

Step-3: Determine an expression for the required probability in terms of known quantities:

Recall that the Theorem of Total Probability states that if [tex]E_1[/tex], and [tex]E_2[/tex]  are mutually exclusive and exhaustive events, then the total probability of another event A can be written as

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + P([tex]E_2[/tex])P(A|[tex]E_2[/tex]) in terms of the conditional probabilities of A.

Note that the events [tex]E_1[/tex] and [tex]E_2= not E_1[/tex] are exhaustive events because a person will either have the disease ([tex]E_1[/tex]), or not have the disease ([tex]E_2[/tex]) , there is no third possibility. Also, note that the events  [tex]E_1[/tex] and [tex]E_2= not E_1[/tex]   are mutually exclusive events because a person cannot both have the disease ([tex]E_1[/tex]), and not have the disease ([tex]E_2[/tex]) at the same time. Thus, [tex]E_1[/tex] , and [tex]E_2[/tex] are mutually exclusive and exhaustive events.

Hence, by the theorem of total probability, the probability that a person will have a positive result when tested is given by

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + P([tex]E_2[/tex])P(A|[tex]E_2[/tex])

P([tex]E_1[/tex]) = 5% , P(A|[tex]E_1[/tex]) = 90% , P(A|[tex]E_2[/tex]) =90%

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + P([tex]E_2[/tex])P(A|[tex]E_2[/tex])

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + P([tex]not E_1[/tex])P(A|[tex]E_2[/tex])   [Since [tex]E_2[/tex] = not [tex]E_1[/tex]]

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + {1 -P([tex]E_1[/tex])}P(A|[tex]E_2[/tex])

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + {1 -P([tex]E_1[/tex])}{1 - P(not A|[tex]E_2[/tex])}

Thus,  P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + {1 -P([tex]E_1[/tex])}{1 - P(not A|[tex]E_2[/tex])}

Step-4: Evaluate the required probability.

Substitute  P([tex]E_1[/tex]) = 5% , P(A|[tex]E_1[/tex]) = 90% , P(A|[tex]E_2[/tex]) =90% in

P(A) = P([tex]E_1[/tex])P(A|[tex]E_1[/tex]) + {1 -P([tex]E_1[/tex])}{1 - P(not A|[tex]E_2[/tex])} .

       = (5%) × (90%) + {1 - 5%} × {1- 90%}

       = (5/100) × (90/100) +  {1- 5/100} × {1 - 90/100}

       = (450/10000) + {(100 -5)/100} × {(100 - 90)/ 100}

       = 450/10000 + 95 × 10 / 10000

       = 45/1000 + 95/1000

       = 45 + 95 / 1000

       = 140/ 1000

       = 14/100

       = 14%

Thus, the total probability that the result of a test will be positive is

P(A) = 14%.

Hence, 14% of the population would test positive for the disease.

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Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution:

Percentile Value is equal to z +.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.

Standard deviation may be written as SD.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Though in algebra, it is simpler

According to our question-

a. 157 is less then 161

b. n>173, n be a real number.

Hence, Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution: Percentile Value is equal to z +.

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The true statement about the given ratios will be;

⇒ 12/14 > 22/28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Now,

Since, The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Hence, The correct ratio will be;

⇒ 12/14 = 24/28

Thus, We get;

⇒ 12/14 > 22/28

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Answer: The true statement about the given ratios will be;

⇒ 12/14 > 22/28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Now,

Since, The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Hence, The correct ratio will be;

⇒ 12/14 = 24/28

Thus, We get;

⇒ 12/14 > 22/28

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Answer:

B

Step-by-step explanation:

5.21 x 10^19 + 3.149 x 10^17

10^17(5.21 x 10^2 + 3.149)

10^17(521 + 3.149)

10^17(524.149)

5.24149 x 10^17 x 10^2

5.24149 x 10^(17+2)

5.24149 x 10^19

Answer: b. 5.24149 × 1019

Step-by-step explanation: I took the test

The correct option regarding whether the two functions are inverse functions is given as follows:

B. No, because the composition does not result in an answer of x.

Two functions are inverses of each other if the composition of these two function has a result of x.

From the image given at the end of the answer, the two functions in this problem are defined as follows:

Their composition is given as follows:

[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]

[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]

The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.

The problem is given by the image shown at the end of the answer.

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Answer:

28. Just divide 1876 by 67.

Step-by-step explanation:

Answer:

28 I believe

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

slope = m = y2-y1/x2-x1

change in y: 7-1 = 6

change in x: 10-5 = 5

slope = 6/5

There will be 40% chance that the team will win.

Odds, are given as (chances for success) : (chances against success) or vice versa.

If odds are stated as an A to B chance of winning then the probability of winning is given as P(winning) = A / (A + B) while the probability of losing is given as P(Losing) = B / (A + B).

For 2 to 3 odds for winning:

P(winning) = 2/2+3

                 = 2/5

                 = 0.4

⇒ The percent chance of winning is 40.

Therefore, 40% is the required answer.

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Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.

These numbers in Spanish are:

1. 49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

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Answer:

49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

Step-by-step explanation:

Answer:

n = 4

Step-by-step explanation:

2:8 ==> 2/8

1:n ==> 1/n

2/8 = 1/n

n * 2/8 = n * 1/n

2n/8 = 1

8 * 2n/8 = 8 * 1

2n = 8

n = 8/2

n = 4

Answer:

-4x-8

Step-by-step explanation:

Answer:

-4x-8

Step-by-step explanation:

Answer:

B=20

C = 40  

These are the answers

In mathematics, the slope or gradient of a line is a number that indicates both the direction and the steepness of the line.

In mathematics, the slope or gradient of a line describes both the direction and the steepness of the line. A line's slope denotes its steepness. Slope is determined theoretically as "rise over run" (change in y divided by change in x). Slope is the numerical value of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of its vertical to horizontal distance between any two points on it ("slope equals rise over run").

Here,

slope=(13-8)/(10-5)

slope=1

In mathematics, the slope or gradient of a line is a quantity that specifies both the direction and the steepness of the line.

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Answer:

1. Scalene Triangle

2. 135 degrees

3. 80 degrees

I don't have much time for the rest, i'm sryyyyy

I hope i could helppp :3

The python program code is written to find the area of the shape.

The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.

The program is given as:

print('Please, enter sides lengths:')

# Getting sides lengths

a, b, c, d, e = map(float, (input('A = '), input('B = '), input('C = '), input('D = '), input('E = ')))

# Finding a rectangle area

rect_area = a * b

# Finding a triangle area

triang_height = (c**2 - (a / 2)**2)**0.5

triang_area = 0.5 * a * triang_height

# Sum area

area = rect_area + triang_area

print('Total room area: %f' % area)

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Yes, a post hoc test should be performed after an ANOVA with three or more levels if the ANOVA finds a significant result.

Post hoc tests are used to determine which specific levels within the factor are responsible for the significant result.

1. An ANOVA is performed to test if there is a significant difference between the means of three or more levels of a factor.

2. If the ANOVA finds a significant result, then a post hoc test should be performed to determine which specific levels within the factor are responsible for the significant result.

3. Post hoc tests compare the means of each level of the factor to determine which levels are significantly different from each other and which are not.

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Answer:

D. 7

Step-by-step explanation:

[tex] \frac{ \sqrt{196} }{\sqrt{4} } \\ [/tex]

[tex] \frac{14}{2} [/tex]

=7

The fraction of a box that can be filled with the leftover textbooks is 10.

What is a fraction?

A fraction is a number that represents a part of a whole or a part of a collection. It is written in the form a/b, where a is called the numerator and b is called the denominator.

To find the fraction of a box that can be filled with the leftover textbooks, we need to first find the total number of textbooks that are leftover. We can do this by subtracting the number of fourth-grade textbooks and the number of fifth-grade textbooks from the total number of textbooks that can fit in a box:

Leftover textbooks = (28 textbooks/box) - (125 textbooks) - (191 textbooks)

= 28 textbooks - 125 textbooks - 191 textbooks

= -288 textbooks

Since there are -288 leftover textbooks, we can fill -288/-28 =-288/-28=10 boxes with the leftover textbooks.

Hence, the fraction of a box that can be filled with the leftover textbooks is therefore 10/1 = 10.

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The fraction of a box that can be filled with leftover textbooks is 125/7

What is the fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

To find the fraction of a box that can be filled with leftover textbooks,

we need to first determine the total number of textbooks that will fit in a box.

Since a box can hold 28 textbooks, and the school has bought 125 Fourth Grade math textbooks and fifth-grade math textbooks,

the total number of textbooks the school has is 125 + 125 = 250 textbooks.

To find the fraction of a box that can be filled with leftover textbooks,

we can divide the total number of leftover textbooks by the total number of textbooks that fit in a box.

Since there are 250 leftover textbooks and a box can hold 28 textbooks, the fraction of a box that can be filled with leftover textbooks is 250/28.

Simplifying this fraction, we get:

250/28 = (250/14)/(28/14) = (250/14)/2 = 125/7

Therefore, the fraction of a box that can be filled with leftover textbooks is 125/7.

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