what are the coorindates of point A

Answers

Answer 1

Point A has coordinates (x1, y1). The x-coordinate, x1, is the horizontal distance from the origin, while the y-coordinate, y1, is the vertical distance from the origin.

What are coordinates?

Coordinates in math refer to a pair of numbers that indicate the position of a point on a two-dimensional graph or in a three-dimensional space. The two numbers are usually referred to as the x-coordinate (or abscissa) and the y-coordinate (or ordinate). In three-dimensional space, the third number is referred to as the z-coordinate (or applicate). A point located at (3, 4) on a two-dimensional graph would be located 3 units along the x-axis and 4 units along the y-axis. Similarly, a point located at (3, 4, 5) in three-dimensional space would be located 3 units along the x-axis, 4 units along the y-axis, and 5 units along the z-axis.

Both coordinates indicate the exact location of Point A in a coordinate system. For example, if Point A is located at (2, 4), it means that the x-coordinate of Point A is 2, which is 2 units away from the origin in a horizontal direction, and the y-coordinate of Point A is 4, which is 4 units away from the origin in a vertical direction. The origin is usually located at (0, 0) in a coordinate system.

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Related Questions

Easy points because I got points to blow,

Answers

Answer:

Did you know that the first person convicted of speeding was going eight mph.

Step-by-step explanation:

i think george washington cut down a cherry tree

A card is drawn at random from a deck of cards. What is the probability that
a. it is a heart, given that it is red?
b. it is higher than a 10, given that it is a heart? (Interpret J, Q, K, A as 11, 12, 13, 14)
c. it is a jack, given that it is red?

Answers

Answer:

a. 13/26 = 1/2

b. 3/13

c. 2/26 = 1/13

Step-by-step explanation:

A. 26 red cards and 13 of them are hearts so 13/26 which can be simplified to 1/2

B. 13 hearts but only jack, queen king are higher than 10 so 3/13

C. 26 red cards altogether and we have a total of 2 red jacks so 2/26 which can be simplified to 1/13


is this what you wanted?

Simplify the following fractions.​

Answers

Answer:

The solution for the above fraction is

[tex] \frac{146}{167} [/tex]

Step-by-step explanation:

Greetings!

look at the attachment above for the explanation.

A college currently has 600 students enrolled
full time. Of these students, 400 are science
majors while 200 are liberal arts majors. If
350 of the students are male, and 250 of the
males are science majors, how many female
students are liberal arts majors?
(A) 200
(B) 150
(C) 100
(D) 50

Answers

Answer:

C) 100

Step-by-step explanation:

250+600-350-400

850-350-400

500-400=100

a2 + ab -2b2 factorise​

Answers

[tex]a {}^{2} + ab - 2 {b}^{2} [/tex]

[tex] = (a - b) {}^{2} [/tex]

triangle mno is equilateral. find x and y.

Answers

Answer:

x = 7.5 and y = 75

==============

Given

Equilateral triangle MNO.

We know each interior angle of an equilateral triangle is 60°, since each of three angles are of same value.

180°/3 = 60°

We can see:

m∠MNO = 2x + 4x + 2x              Sum of interior angles60 = 8x                                        Substitute the value of ∠MNOx = 60/8                                       Solve for xx = 7.5

The middle triangle with two interior angles 4x and y has the missing angle also y, since it is isosceles, because both adjacent angles are equal at vertex N.

It gives us:

4x + y + y = 180         Sum of interior angles4*7.5 + 2y = 180        Substitute the value of x30 + 2y = 180            Solve for y2y = 150y = 75

First

Measure of any angle in an equilateral triangle is 60°

So

2x+4x+2x=60°8x=602x=15x=15/2x=7.5

And

4x=4(7.5)=30

Apply angle sum property

2y+30=1802y=150y=75

Round to 4 significant figures 2.3581x10^3

Answers

Answer:

2358.1

Step-by-step explanation:

2.3581 x 10^3

= 2.3581 x 10000

=2358.1

Which of the following terms completes the sentence below?
A sign chart helps you record data about a function's values around its
and
asymptotes.

Answers

The terms that completes the sentence are zeros; vertical. Option A

Function of a sign chart

The functions of a sign chart include;

It helps in the record of  information about the functions values around its zeros and vertical asymptotesA sign chart indicates the sign of the result any mathematical operation between unknowns.

From the mentioned functions, we can se that the terms that completes the sentence are zeros and vertical asymptotes.

Thus, the terms that completes the sentence are zeros; vertical. Option A

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Vrite the equation of a line in the slope-intercept form that has a slope of 4
and contains the point (4, 12).

Answers

Answer:

y= 4x -4

Step-by-step explanation:

Slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 4, m= 4.

Substitute the value of the slope into the equation:

y= 4x +c

The value of c can be found by substituting any point in which the line passes through into the equation above.

When x= 4, y= 12,

12= 4(4) +c

12= 16 +c

Subtract 16 from both sides:

c= 12 -16

c= -4

Thus, the equation of the line is y= 4x -4.

Additional:

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Joey is twenty years younger than Becky in two years time Becky will be twice as old as Joey

Answers

Answer:Joey is 18 hope that helped you

If f(x) = 4x, which statements are true of g(x)? Select two options.

Answers

The two statements that are true for g(x ) are:

g(x) = [tex]4^{x}[/tex] - 1

g(x) is translated both vertically and horizontally.

What is a function?

A function is a relation showing the relationship between two or more variables.

A function produces a unique output when a unique input is given to it. The input is called the domain and the output is called the Range.

Analysis:

If we use the values of x as 0,1,2,3

for x = 0

g(0) = [tex]4^{0}[/tex] -1  = 1 -1 = 0

for x = 1

g(1) = [tex]4^{1}[/tex] -1  = 4 - 1 = 3

for x = 2

g(2) = [tex]4^{2}[/tex] - 1 = 16 - 1 = 15

for x = 3

g(3) = [tex]4^{3}[/tex] - 1 = 64 - 1 = 63

Therefore g(x) = [tex]4^{x}[/tex] - 1

Also since the values of g(x) changes along the y - axis and x-axis also changes, therefore, g(x) is translated along both axes.

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

Reset
Next

Answers

When x = -2, we use the second part of the function, so g(-2)=0.

Similarly, g(4) = -4.

Find the solution to m^2+9m=0

Answers

Answers:  m = 0 or m = -9

Work Shown:

m^2+9m=0

m(m+9)=0

m = 0 or m+9 = 0

m = 0 or m = -9

For more information, check out the topics about factoring and the zero product property.

m^2 + 9m = 0

m(m + 9) = 0

m= 0 or m + 9 = 0

m = -9

m= 0 or m = -9 (final answer)

Amy and Vince want to save $7,000 so that they can take a trip to Europe in four years. How much must they save each month to have the money they need if they can get 3% per year, compounded monthly, on their savings?

Answers

Answer:

10

9

0

Step-by-step explanation:

you subtract the number of all your answers

022 A. Find the unit vector in the direction of F 2+3j+4k B. Find the distance between F1 = 3i+2j+ 5k and F2 = 3i +4j +5k C Find the component of each directed line segment whose initial point contains p, and the terminal point P₂ i.) P, (3,2,2), P₂(3,-2,-3) ii.) P₂(2,-3,-6), P3(-3,3,2) ​

Answers

By definition of vectors exist as quantities that contain magnitude (positive or negative) and direction.

A) The unit vector in the direction of [tex]$F = i + \frac{3j}{2} +2k.[/tex]

B) The distance between [tex]F_{1}[/tex] and [tex]F_{2}[/tex] exists 2.

C) i.) Required vector = −4j − 5k

ii.) Required vector = 5i − 6j − 8k

How to estimate unit vector?

To estimate the unit vector in the direction of V = 2i+3j+4k

|V| [tex]$= \sqrt{2^2+3^2+4^2}[/tex]

[tex]$= \sqrt{29}[/tex]

A) Unit vector

[tex]$F= \frac{V}{ |V|}[/tex]

[tex]$F= \frac{2i+3j +4k}{2}[/tex]

[tex]$F = \frac{2i}{2} + \frac{3j}{2} +\frac{4k}{2}[/tex]

[tex]$F= i + \frac{3j}{2} +2k.[/tex]

Therefore, unit vector in the direction of [tex]$F = i + \frac{3j}{2} +2k.[/tex]

B) To estimate the distance between [tex]F_{1}[/tex] = 3i+2j+ 5k and [tex]F_{2}[/tex] = 3i +4j +5k

[tex]$d = \sqrt{(3-3)^{2}+(4-2)^{2}+(5-5)^{2}}[/tex]

= 2

Therefore, the distance between [tex]F_{1}[/tex] and [tex]F_{2}[/tex] exists 2.

C) i.) P, (3,2,2), P₂(3,-2,-3)

Required vector =|[tex]P_{1}[/tex]P₂|=(3−3)i + ((−2)-2)j ​+ ((-3)-2)k

= −4j − 5k

ii.) P₂ (2,-3,-6), [tex]P_{3}[/tex] (-3,3,2) ​

Required vector =|P₂[tex]P_{3}[/tex]|=(-3-2)i + (3-(-3))j ​+ (2-(-6))k

= 5i − 6j − 8k

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help!
Nora and Annie are raising money to purchase books for their school's library. The number of books they will be able to purchase for the library depends on the amount of money they raise.

b = the number of books Nora and Annie will be able to purchase
m = the amount of money Nora and Annie raise

Which of the variables is independent and which is dependent?

Answers

Answer: B is dependent and M is independent

Step-by-step explanation:

This is because the question says that they are raising money to buy books. In order to buy the books, they must raise money. So they raise money than buy the books which makes buying the books dependent on how much they raise.

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.

Answers

Using the normal distribution, it is found that the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot is of 3.7 minutes.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

[tex]\mu = 4.5, \sigma = 1[/tex]

The cut-off time is the 100 - 75.8 = 24.2th percentile, which is X when Z = -0.7, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.7 = \frac{X - 4.5}{1}[/tex]

X - 4.5 = -0.7

X = 3.7.

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(02.03 MC)

Choose the equation that represents the graph.

graph of a line passing through points negative 2 comma 0 and 0 comma negative 4

y = −2x − 4
y = 2x + 4
y = −2x + 4
y = 2x − 4

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line

m = [tex]\frac{-4-0}{0-(-2)}[/tex] = [tex]\frac{-4}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - 2x - 4 ← equation of line

Find two sets of parametric equations for the rectangular equation. y=(x-6)^2-7x.

If x=t+6 then y=

If x=7t then y=

Show all work !

Answers

The two sets of parametric equations for the rectangular equation are;

If x=t+6 then y= t²-7t-42.If x=7t then y= 49t² - 133t +36.

What are the parametric equations from the rectangular equation?

It follows from the task content that the parametric equations can be determined as follows;

By substituting the x= t+6 into the rectangular equation; we have;

y = (t+6-6)²-7(t+6)

y = t²-7t-42.

By substituting the x= 7t into the rectangular equation; we have;

y = (7t-6)² -7(7t)

y = 49t² - 84t +36 - 49t

y = 49t² - 133t +36.

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Sketch the function of f(x)=x^(3)-5x^(2)

Answers

The cubic function can be graphed using the function behavior and the points.

x   0    1     2        3      4

y   0  −4   −12   −18  −16

How to estimate the function of [tex]$f(x)=x^{3}-5x^{2}[/tex]?

Put  x = 0.

Replace the variable x with 0 in the expression.

[tex]f(0)=(0)^3-5(0)^2[/tex]

Raising 0 to any positive power yields 0.

f(0) = 0 − 5⋅0

f(0) = 0

y = 0

Put x = 1.

Replace the variable x with 1 in the expression.

[tex]f(1)=(1)^3-5(1)^2[/tex]

f(1) = 1− 5⋅1

f(1) = −4

y = −4

Put x = 2.

Replace the variable x with 2 in the expression.

[tex]f(2)=(2)^3-5(2)^2[/tex]

[tex]f(2)=8-5(2)^2[/tex]

f(2) = 8 − 5⋅4

f(2) = −12

y = −12

Put x = 3.

Replace the variable x with 3 in the expression.

[tex]f(3)=(3)^3-5(3)^2[/tex]

f(3) = 27 − 45

f(3) = −18

y = −18

Put x = 4.

Replace the variable x with 4 in the expression.

[tex]f(4)=(4)^3-5(4)^2[/tex]

[tex]f(4)=64-5(4)^2[/tex]

f(4) = 64 − 5 ⋅16

f(4) = 64 − 80

f(4) = −16

y = −16

The cubic function can be graphed using the function behavior and the points.

x   0    1     2        3      4

y   0  −4   −12   −18  −16

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An auction website charges $1 for a bid. The bidding starts at 1¢ and goes up 1c at a time. A television that is worth
$2000 is won, on average, with a bid of $160. You make one bid at random.
Find the expected value of the outcome of the bid. (Write as an exact decimal, with a negative sign, if necessary.)
Expected Value: $

Answers

The expected value of the outcome of the bid is $0.18

So let's start by counting how many bids are placed up to a total of 160.

100*160 = 16000.

What will be your arbitrary bid? As each bid has an equal chance of success, the average of all bids is used. (One cent plus 160 dollars) / 2 = 80 dollars (rounded)

Your odds of winning are 1/16000 (1 bid out of 16000).

If you win, your profit is 1920 ($2000 minus $80.00).

1920/16000 is $0.12

Your cost to enter the auction is $1, and your average winning offer is $0.12.

The result is $0.18 (0.12-1=-0.88).

Thus the expected value of the outcome of the bid is $0.18

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Can anyone help with this?

Answers

The logarithmic function expresses the output variable, y, as a function of the logarithm of the input variable, x, as a function of a base b. The true statements are therefore;

I, II, and III only

Which statements are true based on the definition of a logarithm?

The given logarithmic equation is presented as follows;

[tex]y = log_{b}(x) [/tex]

Therefore, we have;

[tex]x = {b}^{y} [/tex]

Where b = 1, we have that x will always be 1, therefore;

b ≠ 1Option III is true

[tex]b = \sqrt[y]{x} [/tex]

Therefore;

x > 0Option I is true

Which gives;

b > 0Option II is true

The statements that are true is therefore;

I, II, and III only

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copy the problems onto your paper, mark the given and prove the statements asked. if PO is congruent to PR and UO is congruent to UR prove angle O is congruent to angle R

Answers

The two-column proof that proves that ∠O ≅ ∠R using the SSS and CPCTC theorems is shown in the image attached below.

What is the Side-side-side Congruence Theorem (SSS)?

The side-side-side congruence theorem (SSS) states that when three sides of a triangle are congruent to the corresponding three sides of another triangle, then both triangles are considered congruent to each other.

What is the CPCTC Theorem?

The CPCTC theorem states that when two triangles are proven to be congruent by any triangle congruent theorem, then all the corresponding parts of the congruent triangle are congruent. This implies that the corresponding sides and angles of both triangle are equal or congruent.

We are asked to prove that ∠O ≅ ∠R.

With the given image, we would draw segment UP. Thus, based on the reflexive property, UP ≅ UP (one pair of congruent sides).

We are given two pairs of corresponding sides already, which are: UO ≅ UR and PO ≅ PR.

This means that triangles OUP and RUP have three pairs of corresponding congruent sides. Therefore, ΔOUP ≅ ΔRUP.

Applying the CPCTC theorem, ∠O ≅ ∠R.

The two-column proof is attached in the image below.

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Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)

Answers

The solution of x in the given expression [tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex] is 4. However, if it is [tex]\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}[/tex], it is 6.

What is the solution to algebraic expression?

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

[tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex]

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

x = 11 Falsex = 4 True

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

[tex]\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}[/tex]

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

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HELP PLSSSSSSSSSSSS!!!!!

Answers

Answer:

6 x 2 x 2 x 1

Step-by-step explanation:

6 x 2 = 12

12 x 2 = 24

24 x 1 = 24

Emma throws an object upwards from a hill

Answers

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A non linear function is a function whose graph is not linear or can be represented by a straight line.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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How large an equilateral triangle can you fit inside a 2-by-2 square?

Answers

Answer:

An equilateral triangle with a length of 2

Step-by-step explanation:

A 2-by-2 square implies that the square has a length and width of 2. Since equilateral triangles have the same length for all sides, it tells you that if one side is a certain length, all the other sides must have the same length. The largest length we can fit into this square would be 2 because any larger, the sides of the triangles would not fit into the square. Under the assumption that the length needs to be a whole number, the answer would be 2.

A city has a population of 350,000 people. Suppose that each year the population grows by 4.75%. What will the population be after 13 years? Use the calculator provided and round your answer to the nearest whole number.​

Answers

Answer: 4766125

//////////

Answer:

Step-by-step explanation:

first you we need to times 350,000 4.75 and you got 1662500 then subtract 1662500 - 13 years you got 1662487.

10yy'=x y(10)=4
Find the solution of the differential equation that satisfies the given initial condition.

Answers

Answer:

Step-by-step explanation:

10yy'=x

[tex]10y\frac{dy}{dx} =x\\separating~the~variables\\10 ydy=xdx\\integrating\\\int 10ydy=\int xdx+c\\\frac{10y^2}{2} =\frac{x^2}{2} +c\\10y^2=x^2+2c\\when~x=10\\y=4\\10(4)^2=10^2+2c\\160=100+2c\\2c=160-100=60\\c=\frac{60}{2} =30\\10y^2=x^2+60\\10y^2-x^2=60[/tex]

A recent tax bill proposed raising the income-tax rate on families earning at least $200,000 a year by 25%, to 25%. What was the previous tax rate ?

Answers

The previous tax rate was 20%

What is tax rate?

Tax rate is the percentage of the earnings tax payers would pay to the government from their earnings as taxes.

It should be borne in mind that the new tax rate is 25% which has increased by 25% compared to the previous tax rate, which is the unknown.

The mathematical relationship between the current and prior tax rates is as shown below:

Current tax rate=previous tax rate*(1+% increase in tax rate)

Current tax rate=25%

previous tax rate=X

% increase in tax rate=25%

25%=X*(1+25%)

25%=X*1.25

X=25%/1.25

X=previous tax rate=20%

Technically speaking, an increase of 25% in 20% is 5%(i.e. 20%*25%=5%), which when added to the original 20% would give a tax rate of 25%.That the shortcut to affirming that the new tax rate of 25% is correct

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the cost of contructing a 63mcube wall is rs 84000. find the volume of each brick if the cost of a bric is rs 13 Help please! Thank youuuuuy Applying the COPE Process (Lesson 23) The Case of the Angry Surgeon Assume you work in a large hospital. You have been given the responsibility of setting up a conference at the hospital for surgical nurses. The three day conference includes seminars and workshops on all aspects of surgical nursing. Your job includes arranging for the audio-visual equipment as requested. Requests for equipment were to be submitted in writing on a form which you sent to all the presenters. On the second day of the conference you are confronted by a surgeon who is angry about not having an overhead projector in his seminar room. You have no recollection of his requesting a projector. Surgeon: "Where's my overhead projector? I'm supposed to start my class in one minute and there's no projector. I can't believe the inefficiency around here. I am really upset." If you have QuickTime (Apple's technology for handling video) installed on your machine, you can view a video clip of the Angry Surgeon scene. If not, just continue below. What do you do? Remember, you have no recollection of having been asked to provide a projector but you believe there is one available. The surgeon is an important person on the hospital staff. You enjoy your job and you want to keep it. You have a good relationship with others on the staff. Apply each of the steps in the C-O-P-E process to this case and explain how you would... C - Center yourself - How would you keep cool? O - Identify your Objectives - What would be your general and specific goals? P - Make a Plan: What communication strategy or strategies (back of COPE card) would you select for this situation? E - Execute the plan: What might you say?. (Write one statement related to your plan/strategy.) Write your responses to each of the questions in the COPE process Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary? Stuart wants to find the value of 3 3/4 -2 1/3 Before Stuart can subtract, he needs to rewrite both fractions with a common denominator. Drag a number or expression into each box to show how to write equivalent fractions so the new fractions have a common denominator. We can study DNA to trace the processes of evolutionA) TrueB) False what literary device is being used?In majesty, and the complaining brooks That make the meadows green; and, poured round all, Old Oceans gray and melancholy waste, Are but the solemn decorations all Of the great tomb of man. The golden sun, The planets, all the infinite host of heaven, Why is salad dressing a solution? el rea de un mosaico es de 900cm2 cunto mide por lado cada mosaico Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form. 1/6(x + 6) = 11 What is x The beginning of modern taxonomy occurred during the:1500'sGreek civilization1700's1800's Martn tiene una cierta cantidad de libros. Son ms de 60 pero menos de 85, y quiere ordenarlos en una biblioteca poniendo en cada estante la misma cantidad. Si coloca 7 en cada estante, le sobran 4, si coloca 8, le sobra 1 y si coloca 9, no le sobra ninguno. cuntos libros tiene Martn? anyone think they could help me with this question??? When manager Mariah Pitner delivered the company's financial report to local bankers and analysts, she was acting in a(n) _____ role. The speed of propagation of the action potential (an electrical signal) in a nerve cell depends (inversely) on the diameter of the axon (nerve fiber). If the nerve cell connecting the spinal cord to your feet is 1.3 m long, and the nerve impulse speed is 33 m/s, how long (in s) does it take for the nerve signal to travel this distance? The purpose of domains in a typical IT infrastructure is to: a. help organize the roles, responsibilities, and accountabilities for risk management and risk mitigation. b. control the activities and behaviors of employees and limit their accessibility to certain domains. c. define the policies that will eliminate all possibilities and avenues of attack. d. identify the domains most likely to be attacked and the relative cost and impact of potential attacks Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities: Europe Good Europe Bad Asia Good 0.55 0.15 Asia Bad 0.20 0.10 That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth. You have four possible courses of action: Introduce the product simultaneously in Europe and Asia. Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later. Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later. Abandon the product.The NPV's of the various scenarios are as follows, in millions of US dollas Immediate Introduction After one year Good Bad Good Bad Asia 120 -205 +117 -205Europe +105 -200 +102 -200 For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly A) Calculate:1) The probability of good sales in Asia The probability of good sales in Europe.2) The probability of good sales in Asia, given that good sales are observed in Europe.3) The probability of good sales in Asia, given that bad sales are observed in Europe.4) The probability of good sales in Europe, given that good sales are observed in Asia.5) The probability of good sales in Europe, given that bad sales are observed in Asia. B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV. Condense to a single logarithm : log 12 18+3 log 12 2 For the system of inequalities, choose all the ordered pairs that are solutions.7x + 3y < -242 + 3y