For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8

The first derivative of at x with respect to x is simply the transpose of the matrix a.The first derivative of xt ax with respect to x is 2ax, since taking the derivative of the product of two vectors involves multiplying one of the vectors by the derivative of the other vector, and in this case the derivative of x is the identity matrix (since x is a vector and not a matrix).The second derivative of xt ax with respect to x is simply the matrix 2a, since the second derivative involves taking the derivative of the first derivative.1. Given the vector x and the symmetric matrix A.
2. We need to find the first and second derivatives of the following expressions:
  i. A * x
  ii. x^T * A * x

The question involves vectors, symmetric matrices, and derivatives. Let's break it down step-by-step.

i. First derivative of A * x with respect to x:
To find the derivative of A * x with respect to x, we treat A as a constant matrix. The first derivative is simply the matrix A itself.

Answer: The first derivative of A * x with respect to x is A.

ii. First derivative of x^T * A * x with respect to x:
To find the first derivative of this expression, we'll use the following formula for the derivative of a quadratic form:

d/dx (x^T * A * x) = (A + A^T) * x

Since A is a symmetric matrix, A = A^T. Therefore, the formula becomes:

d/dx (x^T * A * x) = 2 * A * x

Answer: The first derivative of x^T * A * x with respect to x is 2 * A * x.

iii. Second derivative of x^T * A * x with respect to x:
The second derivative of x^T * A * x with respect to x is the derivative of the first derivative (2 * A * x) with respect to x. Since A is a constant matrix, the second derivative is zero.

Answer: The second derivative of x^T * A * x with respect to x is 0.

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Answer: B

Step-by-step explanation:

You are in high school you should know this already im in 7th grade be ashamed

Answer:

x= 28

do i have to explain

Step-by-step explanation:

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 8, y = 24.

=> (24) = k(8), k = 3

Therefore when x = 5,

y = kx = (3)(5) = 15.

Answer:

y=15

Step-by-step explanation:

you do 24/8=3 and  that lets you know that y is 3 times the x value. (8 x 3=24). So then just multiply 5 by 3 to get 15.

Answer:

0.74x12

Step-by-step explanation:

Answer:

hello! :) have a good day!

74% of 12 is 8.88

So it would be

0.74 x 12 = 8.88

\(\cfrac{22\pi }{3}\implies \cfrac{(3)(7)\pi +\pi }{3}\implies 7\pi +\cfrac{\pi }{3}\implies 6\pi +\pi +\cfrac{\pi }{3}\)

so the angle is really 3 revolutions plus another π plus a little bit more.  Check the picture below.

answer is v=5

Step-by-step explanation:

10v-3v=7v

7v=35

v=35/7

v=5

Answer: \(v=5\)

Simplify both sides of the equation

\(10v+-3v=35\)

\((10v+-3v)=35\) (Combine Like Terms)

\(7v=35\)

Divide both sides by 7

\(7v/7=35/7\\v=5\)

Answer:

405 > 375

375 < 405

Step-by-step explanation:

< is less than

> is greater than

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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The equation of the tangent line to the function f(x) = 5x - 4x² at x = 2 is 11x + y = 16.

To find the equation of the tangent line to the function f(x) = 5x - 4x² at x = 2, we need to calculate the slope of the tangent line at that point.

The slope of a tangent line can be found using the derivative of the function. We'll start by finding the derivative of f(x):

f'(x) = d/dx (5x - 4x²)

      = 5 - 8x

Now, let's find the slope of the tangent line at x = 2 by evaluating f'(x) at that point:

f'(2) = 5 - 8(2)

     = 5 - 16

     = -11

So, the slope of the tangent line at x = 2 is -11.

Next, we need to find the y-coordinate of the point on the graph of f(x) corresponding to x = 2. We can do this by plugging x = 2 into the original function:

f(2) = 5(2) - 4(2²)

    = 10 - 4(4)

    = 10 - 16

    = -6

Therefore, the point on the graph of f(x) at x = 2 is (2, -6).

Now, we have the slope (-11) and a point (2, -6) on the line. We can use the point-slope form of a linear equation to find the equation of the tangent line:

y - y1 = m(x - x1)

where (x1, y1) is the given point on the line, and m is the slope of the line.

Using (x1, y1) = (2, -6) and m = -11, the equation becomes:

y - (-6) = -11(x - 2)

Simplifying:

y + 6 = -11x + 22

Finally, rearranging the equation to the standard form:

11x + y = 16

Therefore, the equation of the tangent line to the function f(x) = 5x - 4x² at x = 2 is 11x + y = 16.

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Answer:

About 8

Step-by-step explanation:

it probably will be 8 ......

Answer:

A = 15 mm²

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the cross section and h the depth )

here h = 12 and V = 180 , then

A × 12 = 180 ( divide both sides by 12 )

A = 15 mm²

The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter is 20 unit and area is 21 unit² for vertices of a polygon W(5,−1), X(5, 6), Y(2,−1), Z(2, 6).

The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter of a rectangle is a linear measure and is expressed in linear units of meters, feet, inches, or yards. Let us first understand the two main properties of a rectangle.

All four angles of a rectangle are 90°.

The opposite sides of a rectangle are equal in measure.

The Perimeter of a rectangle = 2(l + w).

given coordinates:

W(5,-1), X(5,6), Y(2,-1), Z(2,6).

Now, considering the coordinates we will find the width and length of rectangle :

Taking points (2,6) and (5,6):

w=5-2=3

Taking  points (5,6) and (5,-1):

l=6-(-1)=7

Now, perimeter of rectangle

= 2x(3+7)

= 20 unit

Hence, area rectangle is : 3x7=21 unit²

Therefore area is 21 unit² and perimeter is 20 units of polygon with the given vertices W(5,−1), X(5, 6), Y(2,−1), Z(2, 6).

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Answer:

20

Step-by-step explanation:

the shots taken were 0 4 8 12 16 20

the highest number is 20

Answer:

The most shots any player took was 16 shots.

Step-by-step explanation:

Answer:

4 toothpicks.

Step-by-step explanation:

We have been given that Kiley had a piece of bamboo skewer that measured 14 3/5 inches long. She wanted to cut it into toothpicks that were each 3 1/5 inches long.

To find the number of toothpicks that Kiley can make from bamboo skewer, we need to divide the length of skewer by length of each toothpick.

Total number of toothpicks = 14 3/5 ÷ 3 1/5

First of all, we will convert our given mixed fractions into improper fractions as:

Total number of toothpicks = 73/5 ÷ 16/5

Dividing a fraction by another fraction is same as multiplying the 1st fraction by the reciprocal of 2nd fraction.

Total number of toothpicks = 73/5 x 5/16

Total number of toothpicks = 73/16

Total number of toothpicks = 4.5625

Therefore, Kiley can make 4 toothpicks.

hope this helps, can i get brainliest please?

Answer:

cos B = \(\frac{7}{25}\)

tan B = \(\frac{24}{7}\)

sin B = \(\frac{24}{25}\)

Step-by-step explanation:

In the right triangle, there are three sides and 2 acute angles

The trigonometry functions of one of the acute angles Ф are

In Δ ACB

∵ ∠C is the right angle

∴ AB is the hypotenuse

∵ AC is the opposite side of ∠B ⇒ leg1

∵ CB is the adjacent side of ∠B ⇒ leg2

→ By using the ratios above

∴ cos B = \(\frac{CB}{AB}\) , tan B = \(\frac{AC}{CB}\) , sin B = \(\frac{AC}{AB}\)

∵ CB = 7, AB = 25, AC = 24

∴ cos B = \(\frac{7}{25}\)

∴ tan B = \(\frac{24}{7}\)

∴ sin B = \(\frac{24}{25}\)

Answer:

46

Step-by-step explanation:

BIG CHHUNGE$$

The approximate length of a side of the rhombus is 10.67 cm.

A rhombus is a quadrilateral with all sides of equal length.

The diagonals of a rhombus bisect each other at right angles.

Let's label the length of one diagonal as d1 and the other diagonal as d2.

In the given rugby-shaped figure, the length of d1 is 14 cm, and the length of d2 is 12 cm.

Since the diagonals of a rhombus bisect each other at right angles, we can divide the figure into four right-angled triangles.

Using the Pythagorean theorem, we can find the length of the sides of these triangles.

In one of the triangles, the hypotenuse is d1/2 (half of the diagonal) and one of the legs is x (the length of a side of the rhombus).

Applying the Pythagorean theorem, we have \((x/2)^2 + (x/2)^2 = (d1/2)^2\).

Simplifying the equation, we get \(x^{2/4} + x^{2/4} = 14^{2/4\).

Combining like terms, we have \(2x^{2/4} = 14^{2/4\).

Further simplifying, we get \(x^2 = (14^{2/4)\) * 4/2.

\(x^2 = 14^2\).

Taking the square root of both sides, we have x = √(\(14^2\)).

Evaluating the square root, we find x ≈ 10.67 cm.

Therefore, the approximate length of a side of the rhombus is 10.67 cm.

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The algebraic expression of "Three times the sum of n and five"  is 3(n + 5).

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

In other words, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Therefore, lets convert the words to algebraic expression as follows;

"Three times the sum of n and five"

Hence,

3(n + 5) = 3n + 5

Therefore, the algebraic expression is 3(n + 5)

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Waterway Industries made cash payments of $124,130,000 for income taxes during 2022.

To determine the cash payments made for income taxes during 2022, we need to consider the change in income taxes payable from the beginning to the end of the year. The change in income taxes payable represents the net increase or decrease in the amount owed to tax authorities. In this case, the income taxes payable at the beginning of the year (December 31, 2021) was $313,010,000, and the income taxes payable at the end of the year (December 31, 2022) was $596,640,000. Therefore, the change in income taxes payable is calculated as follows:

Change in income taxes payable = Income taxes payable at December 31, 2022 - Income taxes payable at December 31, 2021

= $596,640,000 - $313,010,000

= $283,630,000

The change in income taxes payable represents the amount of income taxes that were paid during 2022. Thus, Waterway Industries made cash payments of $283,630,000 for income taxes during the year.

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The characteristic function is exp[iα(2Bu​−5Bs​+3Bt​)].

To find the characteristic function of the given expression, we can use the properties of characteristic functions and the fact that the increments of a standard Brownian motion are normally distributed with mean zero and variance equal to the time difference. Let's denote the characteristic function as φ(α). Using the linearity property, we can split the expression as φ(α) = φ(2αu) * φ(-5αs) * φ(3αt).

The characteristic function of a standard Brownian motion at time t is given by φ(α) = exp(-α^2*t/2). Applying this to each term, we get φ(α) = exp(-2α^2*u/2) * exp(5α^2*s/2) * exp(-3α^2*t/2).

Simplifying, we have φ(α) = exp(-α^2*u) * exp(5α^2*s/2) * exp(-3α^2*t/2).

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If he arranges them into 6 equal rows, 4 posters will be in each row.

One of the fundamental arithmetic operations in mathematics is the division, which is the process of dividing a group of items into equal pieces. Every day, we might employ the division approach in various situations. Fraction division differs significantly from natural number division. We must change the division operator into a multiplication operator when dividing fractions. Therefore, the dividend should be multiplied by the inverted divisor.

Given,

Total posters = 24

Arranging them into 6 equal rows,

Dividing:

24÷ 6

Reciprocating,

24 × 1/6

4

If he arranges them into 6 equal rows, 4 posters will be in each row.

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The process of making coffee grounds involves sourcing, roasting, grinding, and packaging high-quality beans.

The process of making coffee grounds starts with sourcing and selecting high-quality beans, which sets the foundation for a superior product. These beans are then carefully roasted to unlock their unique flavors and aromas, enhancing the overall coffee experience.

The roasted beans are ground to the desired consistency, catering to different brewing methods and preferences. Finally, the freshly ground coffee is meticulously packaged to preserve its freshness, ensuring that customers can enjoy the full flavor profile.

Through value-added analysis, each step is evaluated to identify activities that directly contribute to the product's value, allowing for optimization and efficiency in the production process.

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Answer:

Least to Greatest:

- 2

25 }

 <  { - 1.55  <  

111

100

Step-by-step explanation:

The given statement defines the criteria for identifying outliers and extreme outliers in a dataset based on the interquartile range (IQR). According to this, 80 is an outlier, 330 is neither an outlier nor an extreme outlier, and 450 is an extreme outlier. This can be solved by the concept of interquartile range.

To determine if an observation is an outlier or extreme outlier in a sample of 30 cereals based on their sodium contents, we need to first calculate the interquartile range (IQR). An observation is considered an outlier if it is less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR). An observation is considered an extreme outlier if it is less than Q1 - 3(IQR) or greater than Q3 + 3(IQR).

The given information states that the median sodium content is 210, Q1 is 190 and Q3 is 250. To calculate IQR, we subtract Q1 from Q3: IQR = 250 - 190 = 60.

a) To qualify as an outlier, an observation has to be less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR). Therefore, Q1 - 1.5(IQR) = 95 and Q3 + 1.5(IQR) = 345. Any observation below 95 or above 345 would be considered an outlier.

b) To qualify as an extreme outlier, an observation has to be less than Q1 - 3(IQR) or greater than Q3 + 3(IQR). Therefore, Q1 - 3(IQR) = 40 and Q3 + 3(IQR) = 400. Any observation below 40 or above 400 would be considered an extreme outlier.

c) For the values 80, 330, and 450, we can determine if they are outliers or extreme outliers using the above criteria.

80 is less than 95, so it is an outlier.

330 is between Q1 and Q3 and therefore not an outlier or extreme outlier.

450 is greater than 345, so it is an outlier but not an extreme outlier.

Therefore, an observation is considered an outlier if it falls below Q1 - 1.5(IQR) or above Q3 + 1.5(IQR), and an observation is considered an extreme outlier if it falls below Q1 - 3(IQR) or above Q3 + 3(IQR). Using these criteria, 80 is an outlier, 330 is neither an outlier nor an extreme outlier, and 450 is an outlier but not an extreme outlier

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Answer:

  two thirds, because the angles are complementary

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement.

  cos(23°) = 2/3 = sin(67°)

The cos23° = 2/3 = sin67° because the angles are complementary If the cos 23° = two thirds.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given:

cos23° = 2/3

The above expression can be written as:

cos(90-67) = sin67°    (cos(90-θ) = sinθ)

Thus, the cos23° = 2/3 = sin67° because the angles are complementary If the cos 23° = two thirds.

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Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.

The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.

The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.

Therefore, option B is the correct answer.

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Answer:

4.9

Step-by-step explanation:

Answer:

x+y=29

0.1x+0.25y=4.7

Step-by-step explanation:

- x+y=29 (x is the number of dimes and y is the number of quarters. there is a total of 29 coins)

- Each dime is $0.1 and each quarter is $0.25.

- By multiplying the number of dimes by $0.1 and multiplying the number of quarters by $0.25, you will get the total amount of money, which is $4.7. - - Therefore, the answer is:

x+y=29

0.1x+0.25y=4.7

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