In the figure, the vertices of ∆ ABC are A ( 0, 6 ), B ( 8, 0 )
and C ( 5, 8 ). If CD ⊥ AB, then find the length of altitude CD.

Answers

Answer 1

The length of altitude CD is 133/25 units.

What is the length if altitude?

To find the length of altitude CD, we need to find the length of the line segment CD, which is perpendicular to AB and passes through the point C.

First, let's find the equation of the line AB. We can use the two-point form:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is one of the points on the line. Using points A and B, we get:

m = (0 - 6)/(8 - 0) = -3/4

y - 6 = (-3/4)(x - 0)

y = (-3/4)x + 6

Next, let's find the slope of the line CD, which is the negative reciprocal of the slope of AB. This is because perpendicular lines have slopes that are negative reciprocals of each other. Therefore:

m_CD = 4/3

Now we can use the point-slope form to find the equation of line CD. We know that the line passes through point C (5, 8), so:

y - 8 = (4/3)(x - 5)

Simplifying, we get:

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

y = (4/3)x + 20/3

Now we need to find the intersection of line CD with line AB. We can solve the system of equations:

y = (-3/4)x + 6

y = (4/3)x + 20/3

Setting the two expressions for y equal to each other, we get:

(-3/4)x + 6 = (4/3)x + 20/3

Multiplying both sides by 12, we get:

-9x + 72 = 16x + 80

25x = -8

x = -8/25

Substituting this value of x into either equation, we get:

y = (-3/4)(-8/25) + 6 = 57/25

Therefore, the point of intersection is (-8/25, 57/25).

Finally, we can use the distance formula to find the length of CD, which is the distance between C and the point of intersection:

d = √[(5 - (-8/25))² + (8 - 57/25)²]

d = √[(125/25 + 8/25)² + (200/25 - 57/25)²]

d = √[(133/25)² + (143/25)²]

d = √(17689/625)

d = 133/25

Therefore, the length of altitude CD is 133/25 units.

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Related Questions

Solve the equation where θ lies in the interval [0, 2pi). List the answers from least to greatest.

secθ=undefined

Answers

The solutions to the equation secθ = undefined from the  least to greatest is π/2 and 3π/2.

What is the solution of the equation?

The equation secθ = undefined means that the secant of θ is undefined. Recall that the secant function is defined as 1/cosine(θ).

Therefore, secant is undefined when the cosine of θ is equal to zero, since division by zero is undefined.

In the interval [0, 2π), the cosine function equals zero at θ = π/2 and θ = 3π/2.

Therefore, the solutions to the equation secθ = undefined in the interval [0, 2π) are θ = π/2 and θ = 3π/2.

Listing the solutions from least to greatest, we have:

θ = π/2 ≈ 1.571

θ = 3π/2 ≈ 4.712

Note that these values are given in radians.

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What is the percent of decrease from 98. 7 to 0?

Answers

0 is a 100% decrease of 98.7. Hope this helped!

A rhombus has an area of 20 cm^2. One diagonal is 10 cm. What is the other diagonal

Answers

The other diagonal of the rhombus is 4 cm.

The other diagonal of the rhombus can be found using the formula for the area of a rhombus, which is A = (d₁ × d₂)/2, where d₁ and d₂ are the lengths of the diagonals.

We're given that the area of the rhombus is 20 cm² and that one diagonal (d1) is 10 cm. Plugging these values into the formula, we get:

20 = (10 × d₂)/2

Simplifying, we get:

20 = 5 d₂

Dividing both sides by 5, we get:

d₂ = 4

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Carol shares a joke with 3 of her friends. The next day, each of her friends tell the joke to 4 other people. The next day, each people that heard the joke the previous day tells the joke to four different people. The expression 3(4^(x)) models this situation where x represents the number of days after Carol initally told the joke. What do the different parts of the expression represent?

Answers

Answer:

Step-by-step explanation:

In this expression, the number 3 represents the initial group of friends to whom Carol told the joke.

The base number 4 represents the number of people each friend told the joke to on the following day.

The exponent x represents the number of days that have passed since Carol first told the joke, and as a result, the number of "generations" of people who have heard the joke.

Therefore, 4 raised to the power of x represents the total number of people who have heard the joke after x days, including Carol's initial group of friends and all subsequent generations of people who have been told the joke by those who heard it before.

Finally, multiplying 3 and 4 raised to the power of x gives the total number of unique people who have heard the joke after x days, since the initial group of friends is not included in the later generations.

Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12. 50 left at the end of the month to go to a concert. A movie ticket costs $5. Write an inequality to determine how many times Robin can go to the movies this month

Answers

Robin can go to the movies a maximum of 5 times this month.

Let's start by defining a variable to represent the number of times Robin goes to the movies. Let's call this variable "x".

We know that each movie ticket costs $5, and Robin wants to have at least $12.50 left at the end of the month. This means that the total amount of money she can spend on movies is:

40 - 12.50 = $27.50

We can set up an inequality to represent this:

5x ≤ 27.50

To solve for x, we can divide both sides of the inequality by 5:

x ≤ 5.5

Since we can't go to the movies a fractional number of times, we round down to the nearest whole number.

Therefore, Robin can go to the movies a maximum of 5 times this month.

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8x + 4 + 8x - 1 simplify the variable expression

I do not understand this
Pls help!

Answers

Answer:

16x + 3

Step-by-step explanation:

Simplify by combining like terms.  Add the terms with x, then add the integers.

8x + 8x + 4 - 1 = 16x + 3

What are the integer solutions to the inequality below?

2
<
x
<
2

Answers

Answer:

the integer solutions to the inequality -2 < x < 2 are x = -1, 0, and 1.

Step-by-step explanation:

The inequality is written as:

-2 < x < 2

This inequality can be read as "x is greater than -2 and less than 2". In other words, x is between -2 and 2, but not including -2 or 2.

The integer solutions that satisfy this inequality are -1, 0, and 1.

Therefore, the integer solutions to the inequality -2 < x < 2 are x = -1, 0, and 1.

A bakery can make 30 donuts every
15 minutes. What is the unit rate at which the bakery makes donuts? What is the slope of the line?

Answers

The unit rate at which the bakery makes donuts is 2 donuts per minute.

The slope of the line would also be 2 since the number of donuts made is directly proportional to the time elapsed. This means that for every minute that passes, 2 donuts are made.

To find the unit rate, we divide the total number of donuts made (30) by the time it takes to make them (15 minutes).

Unit rate = 30 donuts ÷ 15 minutes = 2 donuts per minute

To find the slope of the line, we use the formula:

slope = rise ÷ run

In this case, the "rise" is the number of donuts made and the "run" is the time elapsed. Therefore, the slope is:

slope = 30 donuts ÷ 15 minutes = 2 donuts per minute.

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​Using _____, a supplier can use radio frequency identification (RFID) tags on each crate, case, or shipping unit to create a digital shipping list.

Answers

Using RFID (radio frequency identification) technology, a supplier can use RFID tags on each crate, case, or shipping unit to create a digital shipping list.

Radio frequency identification (RFID) technology is a wireless communication technology that enables the automatic identification and tracking of objects. RFID tags contain a microchip and an antenna, and are typically attached to or embedded within objects such as crates, cases, or shipping units.

These tags can store information such as a unique identification number or product details, which can be read wirelessly by RFID readers or scanners.

When used in shipping and logistics, suppliers can attach RFID tags to each crate, case, or shipping unit to create a digital shipping list. As the products move through the supply chain, the RFID tags can be read at various checkpoints, providing real-time information on the location and status of the products.

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When released, a yo-yo falls toward the floor. Use conservation of energy to explain why it is able to return to your hand.

Answers

When released, a yo-yo falls towards the floor due to conservation of energy.

Conservation of energy:

As it falls, its potential energy is converted into kinetic energy. When the yo-yo reaches its lowest point, it begins to spin rapidly, storing some of this kinetic energy as rotational energy. As the string wraps around the yo-yo's axle, it exerts a force which starts pulling the yo-yo back up towards your hand. This force converts the rotational energy back into potential energy as the yo-yo rises. When the yo-yo reaches your hand, it has regained all its initial potential energy, enabling it to return to your hand.

When the yo-yo reaches the end of the string, the rotational kinetic energy it has stored is used to wind the string back around the axle. This winding motion causes the yo-yo to move back up toward your hand. As the yo-yo moves back up, its potential energy increases, while its rotational kinetic energy decreases. Eventually, the yo-yo reaches your hand and comes to a stop.

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2.963 × 10 powerd to the 6
written in standard form?

Answers

Answer:

2963*100,000 that's the answer for that question

How do I solve this?

Answers

I would suggest finding k first.

If [tex]k^2-3k+5=0\\[/tex],

[tex]k=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(5)}}{2(1)}[/tex] by the quadratic formula.

[tex]k=\emptyset[/tex] by the discriminant being negative.

So the expression in terms of k that you need to find cannot be determined.

A hot air balloon is rising at a constant rate of 10 meters per second, while blowing east at a rate of 3 meters per second. The balloon travels on a diagonal path, and its position after 1 second is shown. How far does the balloon travel after 10 seconds?

Answers

Answer:130 meters

Step-by-step explanation:

it travels up 10 meters and over 3 meters per second. so that means it travels 13 meters per second. then you do 13 x 10 and get 130 meters

Answer:

3,000 meters.

Step-by-step explanation:

What you should first do is set up a diagram to demonstrate the velocity of the balloon and wind.

After having that set up, you can use the pythagorean theorem to find the hypotenuse of the triangle made after 10 seconds.

3²*10²=√900 (for one second)

√900 = ±30 m traveled in one second

30²×100²=√9,000,000

√9,000,000 = ±3,000 m

profit = total income - total expenditure Calculate this company's a) total income. b) total expenditure. c) profit. Description Sales - Monday Wages - extra staff Stall hire fee Sales - Tuesday Supplies - stationery Sales - Wednesday Materials Online bulk order Money in £25.00 £20.00 £35.00 £100.00 Money out £110.00 £20.00 £6.00 £10.00​

Answers

The company's total income, expenditure and profit is given respectively as follows:

a.) £180

b.) £146

C.) £34

How to calculate the profit of the company? see

To calculate the profit of the company the formula such as given below is used.

Profit = total income - total expenditure

The total income = 25+20+35+100 = £180

The total expenditure = 110+20+6+10 = £146

Profit = 180-146 = £34

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Please help and hurry

Answers

Answer: 90

Step-by-step explanation: I've done this before

Please help, will give brainliest for correct answer.

80 points.

Answers

Answer:

Step-by-step explanation: DEFINITIONS vvvvv

Transformations

Refers to the movement of objects in the coordinate plane. There are 4 types: Translation, Reflection, Rotation, and Dilation

Reflection

transformation that flips a figure across a line to form its mirror image on the opposite side of the line

Translation

Transformation that slides a figure.

Rotation

A transformation in which a figure is turned around a point

Dilation

A transformation that changes the size of an object, but not the shape.

Congruence

correspondence of parts.

center of dilation

in a dilation, the fixed point about which the figure is enlarged or reduced

similar

Figures that have the same shape but not necessarily the same size

scale factor

The ratio of any two corresponding lengths in two similar geometric figures.

enlargement

a dilation with a scale factor greater than 1. Image will be greater than the pre-image

reduction

a dilation with a scale factor less than 1. Image will be smaller than the pre-image.

remote interior angles

the angles of a triangle that are not adjacent to a given exterior angle

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

Transversal

a line that intersects two or more lines at different points

SAS Theorem (Side-Angle-Side)

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Angle-Angle-Side (AAS) Theorem

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Side-side-side (SSS) Theorem

If the sides of two triangles are in proportion, then the triangles are similar.

Angle-Side-Angle (ASA) Theorem

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Angle-Angle-Angle (AAA)

does NOT prove triangles congruent because the sides could be different lengths.

Parallel lines

lines in the same plane that never intersect

Triangle LMN has vertices at L(−1, 5), M(−1, 0), N(−2, 5). Determine the vertices of image L′M′N′ if the preimage is rotated 90° clockwise about the origin.

L′(5, 1), M′(0, 1), N′(5, 2)
L′(−1, −5), M′(−1, 0), N′(−2, −5)
L′(−5, −1), M′(0, −1), N′(−5, −2).
L′(1, −5), M′(1, 0), N′(2, −5)

Answers

The vertices of image L′M′N′ are L′(−5, −1), M′(0, −1), and N′(−5, −2).  

Rotating a figure 90°:

Rotating a figure 90° clockwise about the origin means that each point of the figure will be moved to a new position that is located 90° clockwise from its original position, with respect to the origin of the coordinate plane.

To rotate a figure 90° clockwise about the origin follow the steps:

1. Swap the x- and y-coordinates of each point.

2. Negate the new x-coordinates.

3. Leave the new y-coordinates as they are.  

Here we have

Triangle LMN has vertices at L(−1, 5), M(−1, 0), N(−2, 5)

Triangle LMN is rotated 90° clockwise about the origin.  

Using the above condition

L(−1, 5) => (−(5), −1) => (−5, −1)

M(−1, 0) => (−0, −1) => (0, −1)  

N(−2, 5) => (−(5), −2) => (−5, −2)    

Therefore,

The vertices of image L′M′N′ are L′(−5, −1), M′(0, −1), and N′(−5, −2).  

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The third term of a sequence is 14. Term to term rule is square, then subtract 11. Find the first term of the sequence

Answers

The third term of a sequence is 14. Term to term rule is square, then subtract 11. The first term of the sequence is 6.

The given information is about the third term of a sequence which is 14, and the term to term rule is square, then subtract 11.

We have to find the first term of the sequence. The sequence can be calculated using the following formula:

An = A1 + (n-1)d

Where, An is the nth term of the sequence A1 is the first term of the sequence d is the common difference between the terms of the sequence. Let's solve the problem by finding the value of the common difference between the terms of the sequence.

Using the given information, we can write: A3 = 14=> A1 + (3 - 1)d = 14=> A1 + 2d = 14 ----- (i)

Also, the term to term rule is square, then subtract 11.So, we can write, A2 = A1 + d = (A1)² - 11 ---- (ii)

Substituting the value of d from equation (ii) in equation (i),

we get: A1 + 2 [(A1)² - 11] = 14 Simplifying this equation, we get: A1² - 2A1 - 12 = 0 On solving this quadratic equation

we get: A1 = -2 or A1 = 6 Ignoring the negative value of A1, we get the first term of the sequence to be 6.

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2. Simplify the expression (5-3i) (-7 - 31) - (6-2i). Show your work

Answers

Answer:

Step-by-step explanation:

Let's simplify the expression step by step:

(5-3i)(-7-31) - (6-2i)

= (5)(-7) + (5)(-31i) - (3i)(-7) - (3i)(-31) - 6 + 2i

= -35 - 155i + 21i + 93 - 6 + 2i

= -35 + 87 - 63i + 2i - 155i

= 52 - 216i

Therefore, the simplified expression is 52 - 216i.

the standard deviation represents a , while the standard error of the mean represents a . a. law of large numbers:central limit theorem b. population:sample c. sample:population d. central limit theorem:law of large numbers

Answers

The standard error of the mean represents a sample, while the standard deviation represents a population. The correct option is (c) sample; population

The standard error of the mean is a measure of the variability of sample means from multiple samples, while the standard deviation is a measure of the variability of individual data points from the mean of a single sample or population.

The standard error of the mean helps us estimate the accuracy of the sample mean as an estimate of the true population mean, while the standard deviation gives us an idea of how much the data points deviate from the mean. In statistics, it is important to distinguish between these two measures to properly interpret data and draw meaningful conclusions.

Therefore, the correct option is (c) sample; population

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The given question is incomplete, the complete question is:

The standard error of the mean represents a ___, while the standard deviation represents a _______.

a. law of large numbers; central limit theorem

b. population; sample

c. sample; population

d. central limit theorem; law of large numbers

A boat is heading towards a lighthouse, where Charlotte is watching from a vertical distance of 137 feet above the water. Charlotte measures an angle of depression to the boat at point AA to be 11^{\circ} ∘ . At some later time, Charlotte takes another measurement and finds the angle of depression to the boat (now at point BB) to be 47^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

Answers

The distance from point AA to BB is 577 ft.

What is an angle of depression?

An angle of depression is a measure of an angle formed when an observer views an object below the horizontal plane.

In the given question, let the distance from lighthouse to point AA be represented by x. So that;

Tan θ = opposite/ adjacent

Tan 11 = 137/ x

x = 137/ 0.1944

x = 704.733 ft

Let the distance from the lighthouse to point BB be represented by y, so that;

Tan 47 = 137/ y

y = 137/ 1.0724

y = 127.751 ft

Thus,

x - y = 704.733 - 127.751

                                            = 576.982

The distance between point AA and point BB is 577 ft.

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which three of the following theorems verify that triangle WXY=triangle PME?

Answers

The theοrem that verifies that WXY=PME is AA, which stands fοr "Angle-Angle" similarity theοrem.

What theοrem verifies that WXY=PME?

Accοrding tο the AA similarity theοrem, if twο angles οf οne triangle are cοngruent tο twο angles οf anοther triangle, the triangles are similar.

In this case, we have twο cοrrespοnding angles in triangle WXY and triangle PME that are cοngruent: angle WXY is cοngruent tο angle PME because they are vertical angles, and angle XYW is cοngruent tο angle MEP because they are alternate interiοr angles fοrmed by parallel lines.

Therefοre, by the AA similarity theοrem, we can cοnclude that triangle WXY and triangle PME are similar.

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Solve these questions

Answers

Answer: 36

Step-by-step explanation: Since the sum of the angles in a triangle is 180 degrees, we can set up an equation:

x + 2x + 2x = 180

Simplifying the equation, we get:

5x = 180

Dividing both sides by 5, we get:

x = 36

Therefore, the value of x is 36 degrees.

Answer:

look at the photo.........................

Prove that the conditional "All dodecagons must have eleven sides" is false by a counterexample.​

Answers

All dodecagons must have eleven sides is false and and can be proven through a counter example.

What are dodecagons?

A dodecagons is a polygon which has 12 sides, 12 vertices. In this word do means "Two" and deca means "Ten".

Similar to other polygons, a dodecagon is also a two-dimensional plane figure. A regular dodecagon polygon has 12 equal sides and has 12 equal measures of angles. Irregular dodecagons have unequal sides and angles. Also, a dodecagon can be a convex polygon or concave polygon.

What is a Polygon?

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges.

So a dodecagon must have twelve sides even though it may be regular or irregular.

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Find the area of the polygon in square units.

Answers

This may be wrong

Answer: 240.25 square units

Step-by-step explanation:

You could take the perimeter already given, and turn this into a rectangle.

Since the left side is blank, this means you add 7 to thirteen to get the measurement of it. It would take a while to explain, and it seems like you want the answer soon.

You end up with a perimeter of 62.

If you get 2 sets of 2 values from this perimeter, you can create a width and height for your "rectangle"

You could turn this into a square even. Divide the perimeter by 4 to get a length of each side.

Each side of your rectangle (now square) is equal to 15.5 units.

Since the formula for area for a rectangle is width times height, multiply 15.5 by itself, and you get an area measure of 240.25 square units.

Which of the following is NOT a geometric sequence?

a. 20,−40,80,−160,320,...
b. 5,2.5,1.25,0.625,0.3125,...
c. 1,2,4,8,16,...
d. 100,50,10,5,1,...

Answers

Answer:

The sequence 100, 50, 10, 5, 1, ... is NOT a geometric sequence because there is no single constant ratio that multiplies each term to get the next one.

Find set of parametric equation and symmetric equation of the line through the point and parallel to the given vector(if possible):
(-3, 0, 2), v = 6j + 3k.

Answers

x + 3 / 0 = y / 6 = z - 2 / 3 is the required set of parametric equation and symmetric equation of line.

Given the point (-3, 0, 2) and the vector v = 6j + 3k, we need to find the set of parametric equation and symmetric equation of the line through the point and parallel to the given vector.

Let the line be L and a point on the line be P(x, y, z).

Then, the vector from (-3, 0, 2) to P is given by

r = OP = i(x + 3) + jy + k(z - 2)

Since L is parallel to the vector v = 6j + 3k, the direction ratios of L are proportional to the components of v. Thus, the direction ratios of L are 0, 6, and 3.

Therefore, the parametric equations of L are:

x + 3 = 0 ⇒ x = -3y = tz - 2 = 3t + 2

where t is a parameter, and the symmetric equations are x + 3 / 0 = y / 6 = z - 2 / 3. This is the required answer.

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based on the boxplot, about 25% of these ayrshire cattle had a butterfat percentage that was higher than what value ?

Answers

Based on the boxplot, approximately 25% of these Ayrshire cattle had a butterfat percentage higher than 8.3%.

To determine this, we can look at the boxplot and see that the third quartile (Q3) is at 8.3%. Since 25% of the data is greater than 8.3%, we can infer that 25% of these Ayrshire cattle had a butterfat percentage higher than 8.3%. To further explain, a boxplot is a graphical representation of the five-number summary of a dataset, which consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

The boxplot is divided into two parts, the box and the whiskers. The box indicates the interquartile range (IQR) which is the difference between the third and first quartile. The whiskers represent the minimum and maximum of the dataset. The median is shown by a line within the box. In this boxplot, the first quartile (Q1) is 6.7%, the median (Q2) is 7.4%, and the third quartile (Q3) is 8.3%. Therefore, based on the boxplot, about 25% of these Ayrshire cattle had a butterfat percentage that was higher than 8.3%.

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Complete Question : Based on the boxplot, about 25% of these ayrshire cattle had a butterfat percentage that was higher than?

I'm thinking of a number between 5. 17 and 203. 71

Answers

From the given information provided, the number you are thinking of can be approximately 20.375.

Since the number you are thinking of is between 5 and 203, we can use the following steps to find it:

Take the average of the two endpoints: (5 + 203) / 2 = 104

Check if 104 is greater than or less than 71. Since 104 is greater than 71, we know that the number is between 5 and 104.

Take the average of 5 and 104: (5 + 104) / 2 = 54.5

Check if 54.5 is greater than or less than 17. Since 54.5 is greater than 17, we know that the number is between 17 and 54.5.

Take the average of 17 and 54.5: (17 + 54.5) / 2 = 35.75

Check if 35.75 is greater than or less than 5. Since 35.75 is greater than 5, we know that the number is between 5 and 35.75.

Take the average of 5 and 35.75: (5 + 35.75) / 2 = 20.375

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f is a function that maps 6-bit binary strings to 4-bit binary strings. For XE {0,136, f(x) is the string x with the last two bits removed. Which property best describes the function to 04-to-1 correspondence 16-to-1 correspondence 2-to-1 correspondence Bijection

Answers

The property that best describes the function is b) 16-to-1 correspondence.

The function f maps 6-bit binary strings to 4-bit binary strings. Therefore, there are 2^6 = 64 possible inputs and 2^4 = 16 possible outputs.For any input x, f(x) is the string x with the last two bits removed. This means that there are 4 possible values for the last two bits of x: 00, 01, 10, and 11.

Since there are 4 possible values for the last two bits of x, there are 4 different inputs that map to each output. For example, if the output is 0000, then the inputs that map to this output are 000000, 000100, 001000, and 001100.

Therefore, the function has a 16-to-1 correspondence, meaning that each output corresponds to 16 different inputs.

The function is not a bijection because multiple inputs can map to the same output. It is also not a 2-to-1 correspondence because each output corresponds to more than 2 inputs.

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in which of the following cases did the u.s. supreme court decide that the enforcement act of 1870 was unconstitutional thus turning a blind eye to paramilitary white supremist violence in the wake of reconstruction? the failure by an applicant to disclose material facts that an insurer does not know but has a right to know is called: 16. what types of portable art (made of what material) is frequently recovered at poverty point? What tasks will a small business professional perform during the post award phase given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target. you may assume that each input would have exactly one solution, and you may not use the same element twice. you can return the answer in any order. example 1: input: nums What is Harvey Milks goal and motivation? What is his internal/external conflict? Grace The Brand Jewelry generated the following information from its financial statements:Earnings after interest and taxes R600 000Earnings per share R2,50 per shareShareholder equity R1000 000Market to book ratio 2,60What is the companys market price per share? the sales tax rate is 7%. if jim bought a new buick and paid a sales tax of $1,820, what was the cost of the buick before the tax? T applies for a life insurance policy and is told by the producer that the insurer is bound to the coverage as the date of the application or medical examination, whichever is later. Assuming that T is an acceptable risk, what item is given to T? spots, inc. produces ink and sells it to write on target, which makes pens. the ink produced by spots, inc. is called you are writing an hpi for a very complex patient who has had multiple recent hospital admissions and several significant complaints; what is the best way to organize the information in your hpi? Could someone please help me quickly? why is the balance in the depreciation expense account generally different from the balance in the accumulated depreciation account? patient presents on your unit with severe dehdration. the doctor orders 1 (l) of normal saline. how many ml should the patient recieve: a solenoid has 21 turns per centimeter of its length. the solenoid is twisted into a circle so that it becomes shaped like a toroid. what is the magnetic field at the center of each turn of the toroid? the current is 15 which term refers to the tendency for members of congress to win reelection in overwhelming numbers? the soccer team manager plans to have 2 gallons of water for every 4 players on the team during practice. determine whether the statements about ratios are true or false.A. The team manager needs 1 gallon of water for every 1 player ` true or falseB. The ratio of number of players to gallons of water is 2:1 ` true or falseC. The team manager ould need 4 gallons of water for 10 players ` true or falseD. For 30 players, the team manager would need 15 gallons of water ` true or false (1) Yen wore a scarlet silk skullcap, a gaily embroidered vest, and purple trousers. He had theroundest and smoothest of faces and the brightest of eyes. Some pretty stones which he hadfound heaped up in a corner of the green were affording him great delight and joy, and hewas rubbing his fat little hands over them, when there arose upon the air the cry of Bo Shuile,the candy man. Yen gave a hop and a jump. In a moment he was at the corner of the streetwhere stood the candy man, a whole hive of little folks grouped around him. Never was theresuch a fascinating fellow as this candy man. What a splendid big pole was that he had slungover his broad shoulders, and, oh, the baskets of sweetmeats which depended from it oneither sidel(2) Yen gazed wistfully at the sugared almonds and limes, the ginger and spice cakes, and thebarley sugar and coconut(3) "1 will take that, honorable candy man," said he, pointing to a twisted sugar stick of manycolors(4) "Cashr" said the candy man holding out his hand....(5) Quick as his chubby legs could carry him, Yen ran back to the cottage. His grandfatherwas still dozing.(6) "Grandfather, honorable grandfather," cried Yen. But his grandfather did not hear.(7) Upon a hook on the wall hung a long string of cash 4 Mother Chan had hung it there for heruse when passing peddlers called(8) Yen had thought to ask his grandfather to give him one of the copper coins which werestrung on the string, but as his grandfather did not awaken at his call, he changed his mind.You see, he had suddenly remembered that the day before he had felt a pain, and when hehad cried, his mother had said: "No more candy for Yen."(9) For some moments Yen stood hesitating and looking at the many copper coins on thebright red string. It hung just low enough to be reached, and Yen knew how to work the cashover the knot at the end. His mother had shown him how so that he could hand them over toher for the peddlers....(10) Yen hesitated no longer. Grabbing the end of the string of cash, he pulled from therethree coins, and with a hop and a jump was out in the street again.(11) "1 will take three sticks of twisted candy of many colors," said he to the candy man.(12) With his three sticks of candy Yen returned to the green. He had just bitten a piece off thebrightest stick of all when his eyes fell on a spinning top which his mother had given him thatmorning. He crunched the candy, but somehow or other it did not taste sweet(13) "Yeni Yent" called his grandfather, awaking from his sleep.D(14) Yen ran across to him(15) "Honorable grandfather," said he, "I have some beautiful candy for your(16) He put the three sticks of candy upon his grandfather's knees.(17) "Dear childr" exclaimed the old man, adjusting his spectacles. "How did you come to getthe candy?(18) Yen's little face became very red. He knew that he had done wrong, so instead ofantering his nrandfather he honnad three timesType here to searchWhat theme is developed in the passage what three things do businesses typically do when faced with increased risk from cross-border investments? true or false: during the candidate selection process, human resource managers should try to predict how long a candidate will stay in the job.