What is the value of n?​

The vector perpendicular to a plane determined by two vectors A and B can be found by taking their cross product. The unit vector perpendicular to the plane determined by the vectors A and B is (-4/√56)i + (2/√56)j + (-6/√56)k.

A x B = (-2i+4j+0k) x (i+j-k)
= (-4k + 2i + 6j)

To find a unit vector perpendicular to the plane, we need to normalize this vector by dividing it by its magnitude:

|A x B| = sqrt((-4)^2 + 2^2 + 6^2) = sqrt(56)

So, a unit vector perpendicular to the plane determined by A and B is:

(-4k + 2i + 6j) / sqrt(56)

which simplifies to:

(-2i + 3j - k) / sqrt(14)

Therefore, the answer is (-2i + 3j - k).

To find a vector perpendicular to the plane determined by vectors A and B, you need to calculate the cross product of A and B.

A = -2i + 4j
B = i + j - k

Step 1: Calculate the cross product (C) of vectors A and B:
C = (A_y * B_z - A_z * B_y)i - (A_x * B_z - A_z * B_x)j + (A_x * B_y - A_y * B_x)k

Step 2: Plug in the values of A and B:
C = (4 * (-1) - 0 * 1)i - (-2 * (-1) - 0 * 1)j + (-2 * 1 - 4 * 1)k

Step 3: Simplify the expression:
C = -4i + 2j - 6k

Step 4: Find the magnitude of C:
|C| = √((-4)^2 + 2^2 + (-6)^2) = √(16 + 4 + 36) = √56

Step 5: Divide each component of C by its magnitude to find the unit vector:
Unit vector = (-4/√56)i + (2/√56)j + (-6/√56)k

So, the unit vector perpendicular to the plane determined by the vectors A and B is (-4/√56)i + (2/√56)j + (-6/√56)k.

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Answer:

2

Step-by-step explanation:

change in y ÷ change in x

4÷2=2

Answer:

What he did wrong is that he did not flip all of the points. since S is 1 point up, it would then reflect 1 point down. point P is 3 up and the reflection should be 3 down. Q should be 3 down as well and R is 1 down below the x axis. The Y does not move for all of the points.

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

Answer:

good question it is very hard question

Given:

Cost of oranges = $1.33 per lb

Let's select the correct equality.

Since the cost is $1.33 per lb, it means the cost of one lb of orange is $1.33

Therefore, the correct equality is:

1 lb = $1.33

ANSWER:

1 lb = $1.33

First, the unit for weight used is lb. Therefore, 2nd and 4th answer are wrong.

Oranges are $1.33 per lb -> Every pound of oranges is equivalent to $1.33

-> $1.33 = 1 lb.

Answer:

53 cupcakes

Step-by-step explanation:

Take the amount of frosting and divide by the amount needed per cupcake

431/8

53.875

We round down since we cannot frost part of a cupcake

53 cupcakes

Answer:

53 cupcakes

Step-by-step explanation:

He has a total of 431 ounces and each cupcake needs 8 ounces of frosting. Therefore can divide the total amount of frosting (431 ounces) by the amount per cupcake (8 ounces)

total amount/ amount per cupcake

431 ounces/8 ounces

431/8

53.875

0.875, or a fraction/part of a cupcake can’t be frosted, so we should round down to the nearest whole number.

53

He can frost 53 cupcakes.

Answer:

The solution is 4 times as large as 3,960 + 340

Step-by-step explanation:

When you are multiply, the number increases. Therefore, the fourth option would be correct.

Hope this helps! Brainliest would be really appreciated!

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

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Answer:

(-3, -5)

Step-by-step explanation:

We will multiply (6a -2b = -8) by -3, and (a - 3b = 12) by 2

Thus,

-18a + 6b = 24

2a - 6b = 24

=

-16a = 48

a= -3

Then we'll substitute,

-18(-3) + 6b = 24

54 + 6b = 24

6b = -30

b = -5

(-3, -5)

Answer:

the sample mean is never the same as population

Answer:

b

Step-by-step explanation:

Leibniz's principle of the Indiscernibility of Identicals can be formalized as follows:

(P(x) ↔ P(y))) \xy(x=y

In other words, for any objects x, y, if x is identical to y, then x and y have all properties in common.

This principle is held to be a first-order truth.

According to Leibniz, if two items are identical, then they share all of the same characteristics.

Leibniz's law states that if A and B are identical, they are interchangeable in any context in which A is mentioned, without changing the truth value of the proposition that mentions A.

In symbolic logic, Leibniz's principle of the indiscernibility of identicals can be expressed as follows:

\((P(x) ↔ P(y))) \xy(x=y.\)

In the simplest of terms, if two things are the same, they are exactly the same. If A and B are the same, anything that applies to A also applies to B, and anything that applies to B also applies to A.In summary,

Leibniz's principle of the Indiscernibility of Identicals states that if two items are identical, then they share all of the same characteristics. In symbolic logic, it is expressed as (P(x) ↔ P(y))) \xy(x=y.

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Energy can be considered as the capacity of bodies to do work, it can be presented in different forms.

In physics, it is established that energy is the ability of any component to cause an alteration in its environment. However, classically, it is indicated that:

There are different types of energy, for example, we have:

¡Hope this helped!

Answer:

2x+5= Total Allowance

Step-by-step explanation:

For every chore he gets $2 so if x represents the number of chores, 2 times x would equal the amount of money he would earn just by doing chores.

In addition to that, Jack also earns a base amount of $5 no matter how many chores he does. So add 5 to 2x, resulting in 2x+5

Answer:

y = -3x + 9

Step-by-step explanation:

−6x − 2y = −18

+6x            +6x

------------------------

-2y = -18 + 6x

/-2        /-2

-------------------------

y = 9 - 3x

y = -3x + 9 ---> this is your slope-intercept form

Answer

Step-by-step explanation:

easy

Answer:

A. c = 0.0365k + 12

Step-by-step explanation:

First, answer choices D and E are wrong because they represent k as a function of c.

Answer choices B and C are wrong because they incorrectly represent the cost including the monthly cost and kilowatt-hour price.

Answer choice A is correct because it properly represents the cost per kilowatt-hour (0.0365k) and properly adds the monthly cost ($12)

So, A is the right answer.

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Answer:

2340002

Step-by-step explanation:

glwhbEqFVGRBAhfrwlghaebg

Answer:

20234.0

Step-by-step explanation:

20000+234.0000=20234

i hope this helps you

have a nice day!!

Explanation:

The area of a circle with radius r is:

The area of a semicircle is half the area of a cricle:

This semicircle has a radius of 12in, the area is:

Answer:

The area of the semicircle is 226.2 in²

The length of a football field, including the end zones, is 120 yards, which is equal to 4320 inches.

To calculate this, we can use the conversion rate of 1 yard equal to 3 feet and 1 foot equal to 12 inches. This means that 1 yard is equal to 36 inches. To convert 120 yards to inches, we can multiply 120 by 36, resulting in 4320 inches.

To explain this mathematically, we can use the formula:

where Inches/Foot = 12 and Feet/Yard = 3.

Plugging in the appropriate variables, we can calculate the number of inches in a football field as:

Inches = 120 x 3 x 12 = 4320 inches.

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The equation would not have real roots.

We know that we can be able to use the discriminant to be able to know the kind of roots that the quadratic equation that we are dealing with would have. Thus the discriminant has the major role of showing us the kind of roots that we have.

Using;

√b^2 - 4ac

√(-2)^2 - 4(-3) (-6)

√-68

Thus the equation would not have a real root. This is clear from the solution that we have in trying to obtain the roots of the equation as shown.

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The directional derivative of f(x, y) = xy at point p(5, 5) in the direction from p to q(8, 1) is -1.

To find the directional derivative of f(x, y) = xy at point p(5, 5) in the direction from p to q(8, 1), we need to first find the unit vector in the direction from p to q.

This can be done by subtracting the coordinates of p from those of q to get the vector v = <3, -4> and then dividing it by its magnitude, which is sqrt(3^2 + (-4)^2) = 5. So, the unit vector in the direction from p to q is u = v/|v| = <3/5, -4/5>.

Next, we need to compute the gradient of f at point p, which is given by the partial derivatives of f with respect to x and y evaluated at p: grad(f)(5, 5) =  evaluated at (5, 5) = <5, 5>.

Finally, we can compute the directional derivative of f at point p in the direction of u as follows:

D_u f(5, 5) = grad(f)(5, 5) · u = <5, 5> · <3/5, -4/5> = (5)(3/5) + (5)(-4/5) = -1.

Therefore, the directional derivative of f(x, y) = xy at point p(5, 5) in the direction from p to q(8, 1) is -1.

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Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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The domain of ggg is option D: -7 ≤ x ≤ 4.

To determine the domain of a function, we need to identify the set of all possible values for the independent variable, in this case, x, for which the function is defined.

In option D, the domain is specified as -7 ≤ x ≤ 4. This means that x can take any value within the closed interval from -7 to 4, inclusive.

In other words, the domain of ggg includes all real numbers between -7 and 4, including -7 and 4 themselves. This interval represents the range of values for x that satisfy the given conditions for the function ggg.

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The answer of the given question based on graph is it appears to be a right-skewed distribution .

Graphs are used to visually represent data in a clear and concise manner. A graph is visual representation of data or mathematical function. They are useful for summarizing and communicating large amounts of information in a way that is easy to understand. Graphs are commonly used in various fields like science, engineering, economics, and finance, to name a few.

Some of the most common uses of graphs include:

Showing trends or patterns over time, like stock prices or weather patterns.

Comparing data across different groups, like sales figures for different products or performance metrics for different teams. etc.  graphs are a powerful tool for analyzing and presenting data in a way that is easy to understand and interpret.

Based on the given graph, it appears to be a right-skewed distribution. A right-skewed distribution is also known as a positively skewed distribution. It means that the tail of the distribution extends to the right and has more values towards the left side of the graph. In this type of distribution, the mean is usually greater than the median, and the mode is less than the median.

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