find the LCM of 2 and 3
​

Answer: D’ (3, -6), E’ (4, -2), F’ (5, -5)

Step-by-step explanation:

If it’s reflected across the x-axis, the y coordinates become negative. Then move each coordinate 2 units to the right.

(x, y) — (x + 2, -y)

D (1, 6) — D’ (3, -6)

E (2, 2) — E’ (4, -2)

F (3, 5) — F’ (5, -5)

The point on the ellipse x^2 + y^2 = 81, which is formed by the intersection of the cylinder and the plane x + z = 9, that is farthest from the origin can be found by maximizing the distance function from the origin to the ellipse. The point on the ellipse that is farthest from the origin is (-9, 0, 0).

To find the point on the ellipse that is farthest from the origin, we need to maximize the distance between the origin and any point on the ellipse. Since the equation of the ellipse is x^2 + y^2 = 81, we can rewrite it as x^2 + 0^2 + y^2 = 81. This shows that the ellipse lies in the xy-plane.

The plane x + z = 9 intersects the ellipse, which means that we can substitute x + z = 9 into the equation of the ellipse to find the points of intersection. Substituting x = 9 - z into the equation of the ellipse, we get (9 - z)^2 + y^2 = 81. Simplifying this equation, we obtain z^2 - 18z + y^2 = 0.

This is the equation of a circle in the zy-plane centered at (9, 0) with a radius of 9. Since we are interested in the farthest point from the origin, we need to find the point on this circle that is farthest from the origin, which is the point (-9, 0, 0).

Therefore, the point on the ellipse that is farthest from the origin is       (-9, 0, 0).

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Answer:

The 1st option

Step-by-step explanation:

The base of a logarithm is always the base of an exponent. The log of part would always be the final powered form of the exponent. So, 2 would be the base, 16 would be logged, and 4 would be your answer.

Answer:

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(1,2)

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

\(f(x) = {x}^{2} + 4x\)

Step-by-step explanation:

The graph is concave up, this means that the leading term x^2 is positive.

\(f(x) = {x}^{2} + 4x\)

\(y = {x}^{2} + 4x\)

\( {x}^{2} + 4x = 0\)

\(x(x + 4) = 0\)

\(x = 0 \: \: \: or \: \: \: \: x = - 4\)

(0 , 0) and (-4 , 0)

For the y intercept, let x = 0

\(y = {0}^{2} + 4(0) = 0\)

(0, 0)

\(t.p = \frac{x1 + x2}{2} \)

\(t.p = \frac{0 + ( - 4)}{2} = - 2\)

\(f( - 2) = {( - 2)}^{2} + 4( - 2) = - 4\)

(-2 , -4)

If you connect all these coordinates you will get the parabola shown in the picture.

The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.

If a random walk Sn is recurrent when started from position x and has a positive probability of eventually visiting another site y, then the random walk will indeed visit y infinitely often when started from x.

To prove this statement, we can use a proof by contradiction and leverage the Law of Large Numbers. Assume that the random walk Sn, when started from x, visits y only finitely often. This implies that there exists a finite number of visits to y, say N visits. However, since the random walk is recurrent, it will eventually return to x with probability 1.

Now, consider the event that the random walk Sn returns to x after the Nth visit to y. This event has a positive probability due to the recurrence of the random walk. However, once the random walk returns to x, it has a positive probability of visiting y again. This contradicts our assumption that the random walk visits y only finitely often.

By contradiction, we conclude that if a random walk is recurrent when started from x and has a positive probability of visiting another site y, it will visit y infinitely often when started from x.

This argument shows that the property of recurrence guarantees that the random walk will revisit visited sites infinitely often, providing a connection between recurrence and infinite visits.

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Answer: I think the answer is A (4,6)

Step-by-step explanation:

Because point B is translated up you have to move the whole shape and pint D would end up at (4,6)

The balloon is reportedly 1.4 miles above the planet's surface. The balloon is currently in the atmosphere at this altitude.

Imagine being outside while a hot air balloon flies overhead. The angle between the balloon and your location is 41 degrees.

The distance between you and the area on the ground just beneath the balloon is 1.6 miles. The height of the balloon above the earth actually may be of interest to us.

We can determine this by using maths. Let's abbreviate the balloon's height to "h". We may link the angle of elevation to height and horizontal distance using a formula called the tangent.

The balloon is reportedly 1.4 miles above the planet's surface. The balloon is currently in the atmosphere at this altitude.

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The GCF of 4x^2y^2 and 12xy^2 is 4xy^2.


To find the greatest common factor (GCF) of two terms, we need to find the highest factor that both terms share.
First, we can factor out 4xy from both terms:
4x^2y^2 = 4xy(x*y)
12xy^2 = 4xy(3y)
Now we can see that both terms share a factor of 4xy.

However, we cannot simplify any further since there are no more common factors.

Therefore, the GCF of 4x^2y^2 and 12xy^2 is 4xy.

Summary:
The GCF of 4x^2y^2 and 12xy^2 is 4xy, which is the highest factor that both terms share.

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Answer:

The equation needed to solve your problem is below,...!

Step-by-step explanation:

\(6^{3}*\frac{w}{6}^{2}\)

Chow,...!

If a boat is traveling upstream takes 45 minutes to travel 30 miles and on the return trip (with the current) takes 30 minutes, the speed displayed on the boat's speedometer is  50 mph.

Let the speed of the boat be x miles per hour and the speed of the current be y miles per hour. The boat is traveling upstream against the current. In this case, the effective speed of the boat is (x - y) miles per hour. The distance traveled is 30 miles.

Therefore, using the formula distance = speed x time, we have:

30 = (x - y) x (45/60)

Simplifying, we get:

30 = (3/4)(x - y)

x - y = 40(1)

On the return trip (with the current), the effective speed of the boat is (x + y) miles per hour. The distance traveled is still 30 miles. Therefore:

30 = (x + y) x (30/60)

Simplifying, we get:

30 = (1/2)(x + y)

x + y = 60(2)

Adding equations (1) and (2), we get:

2x = 100

x = 50 miles per hour

Therefore, the speed displayed on the boat's speedometer is 50 mph.

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Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer:

the answer is a

A (top left corner)

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.

Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).

By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.

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Answer:

48 degrees.

Step-by-step explanation:

The internal angle of a four cornered polygon is always going to add up to 360 degrees.

We create a formula:

360= x + 48 + 132 + 132

And solve for x:

360= x + 48 + 264

360= x + 312

48 = x

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The missing measure of the interior angle of the polygon is 48 degree.

The angle sum property of a Quadrilateral states that the sum of all four inner angles is 360 degrees.

Angles in a quadrilateral are the four angles that occur at each vertex of a four-sided object; these angles are known as quadrilateral interior angles. The total of any quadrilateral's internal angles equals 360.

we have the angles of polygon are 48, 132, 132 and x.

Using angle sum property

48 + 132 + 132 + x= 360

312 + x = 360

x = 360 - 312

x = 48

Thus, the missing angle is 48 degree.

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Now, price of desk in furniture store

= $169 + (24% of $169)

= $169 + (24/100 × $169)

= $169 + $4056/100

= $169 + $40.56

= $209.56

Hence, answer is $209.56.

Answer:

12 minutes

Step-by-step explanation:

Since Zack can eat 5 hot dogs every minute divide the 60 hot dogs he wants to eat by 5 and you would get 12 (the amount of minutes)

I hope this is easy to understand:)

Answer:

9 minutes

Step-by-step explanation:

You want to write this as an equation in order to find out how many minutes it will take. So it will look something like this:

15+5x=60

-15       -15

Then you want to get like terms together

5x=45

And divide to get x alone

x=9.

So 9 minutes

Answer:

(x−3)(x−8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 11x + 24

(x - 8)(x - 3)

Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

An algebraic equation is a linear equation. Each term in a linear equation is either a constant or the result of a constant plus one variable. In the case of a linear equation with two variables, the graph is a straight line.

Here,

A) From the given  we can find the price per ticket

which is => y/x

=> 60/5

=>12

Therefore the price per ticket is $12

B)The equation can be used to represent the graph is

y= 12x

C) The theater were to sell 328 tickets they would make

=> 328*12=3936

Therefore the money would they make is $3936

D)The relationship proportional as we can see from the graph

Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

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Answer:

lkmjnhbvc xzsxfghj

Step-by-step explanation:

Answer:

never true

Step-by-step explanation:

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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The expression that can be used to determine the number of points that should be taken off Laura's score if she plays for s seconds is: 2 |600 - s|.

The expression calculates the absolute difference between 600 seconds (10 minutes) and the actual time Laura played, denoted by s. The absolute difference represents how much Laura deviates from the required 10-minute time frame. Multiplying this difference by 2 gives the number of points that should be deducted from her score, as stated by the contest rules.

Using the absolute value ensures that the result is always positive, regardless of whether Laura played for more or fewer seconds than the required 10 minutes. This way, any deviation from the target time is penalized equally, regardless of direction.

For example, if Laura played for 610 seconds (10 minutes and 10 seconds), the expression would yield 2 |600 - 610| = 20, indicating that 20 points should be deducted from her score for going 10 seconds over the allowed time.

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Answer:

.2778

Step-by-step explanation:

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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The argument can be formalized as follows:Premise: Vegetarians don't eat meat.Premise: Bill is a vegetarian.Premise: Pork is a kind of meat.Therefore, Bill does not eat pork.

The argument follows a simple deductive form known as modus tollens. Modus tollens is a valid argument form that states if a conditional statement ("if A, then B") is true and the consequent (B) is false, then the antecedent (A) must also be false.

In this case, the conditional statement is "Vegetarians don't eat meat," and the false consequent is "Bill eats pork." Therefore, the argument concludes that the antecedent must be false, leading to the conclusion that "Bill does not eat pork."

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If it is possible to find an invertible matrix P, then the diagonal matrix D will be obtained. Otherwise, the answer is the identity matrix I.

To find an invertible matrix P such that D = P^(-1)AP is a diagonal matrix, we need to diagonalize matrix A.

First, we need to find the eigenvalues of matrix A. The eigenvalues can be obtained by solving the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

A - λI = ⎣⎡93−522−1166−9⎦⎤ - λ⎣⎡100001000010⎦⎤

= ⎣⎡93−5−λ22−1−λ166−9−λ⎦⎤

Expanding the determinant, we get:

(93 - 5 - λ)((-1 - λ)(-9 - λ) - (166)(22 - 1)) - (22 - 1)(166(-9 - λ) - (93 - 5)(166)) + 22(166)(93 - 5 - λ) = 0

Simplifying and solving the equation will give us the eigenvalues.

Once we have the eigenvalues, we can find the corresponding eigenvectors. Let's assume the eigenvalues are λ1, λ2, and λ3, and the corresponding eigenvectors are v1, v2, and v3, respectively.

Now, we construct the matrix P using the eigenvectors as columns: P = ⎣⎡v1v2v3⎦⎤.

If the matrix P is invertible, we can calculate P^(-1) and form the diagonal matrix D by D = P^(-1)AP.

If it is not possible to find an invertible matrix P, we use the identity matrix as the answer, denoted as I.

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