Which choices are common factors of the numerator and denominator of the fraction below? Check all that apply. HELP PLEASEE

9/12

A. 12
B. 3
C. 9
D. 1
E. 36
F. 4

To find the eigenvalues and eigenvectors of a matrix, we need to solve the equation Ax = λx, where A is the matrix, λ is the eigenvalue, and x is the eigenvector. In this case, we have a 3x3 matrix, so we expect to find three eigenvalues and three eigenvectors.

Without performing the calculations, it is difficult to determine the exact eigenvalues and eigenvectors of matrix D. However, based on the structure of the matrix, we can make some observations. We notice that the matrix has a repeating pattern of the number 5, which suggests that 5 is a dominant eigenvalue. Additionally, the matrix is symmetric, so we know that the eigenvectors will be orthogonal.

One possible approach to finding the eigenvectors is to use the Gram-Schmidt process, which is a method for orthogonalizing a set of vectors. We can start with a vector that is parallel to one of the columns of the matrix, and then subtract the projection of that vector onto the next column to obtain a vector that is orthogonal to the first. We can continue this process for each column to obtain a set of orthogonal vectors, which will be our eigenvectors.

Based on these observations, we can hypothesize that 5 is an eigenvalue of D and that we can find two linearly independent eigenvectors by using the Gram-Schmidt process on the columns of the matrix. However, we would need to perform the calculations to confirm this hypothesis and determine the exact values of the eigenvectors.

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7.18° the angle which the road makes with the horizontal.

Define Trigonometric functions

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given,

Height of hill = 250 feet

Length of the slope = 2000 feet

find the angle,

we know, sin(x) = perpendicular / hypotenuse

sin(x) = 250 / 2000

x = sin^-1 (0.125)

x = 7.18°

Hence, 7.18° the angle which the road makes with the horizontal.

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Answer:111

Step-by-step explanation:

1111

Answer:

The number has two digits. The sum of the digits is eight. If the digits are reversed, the results is 18 less than the original number. The answer of your question is 35. !!! ;)

The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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Answer:

4 your welcome have a nice day

If Bananas cost $0.56 per pound at Walmart. If I purchased bananas for $1.96 then 3.5 pounds of bananas purchased.

Let x represent the number of pounds of bananas you purchased.

The cost of bananas per pound is $0.56.

Therefore, the total cost of the bananas you bought is given by:

Total cost = Cost per pound × Number of pounds

$1.96 = $0.56 × x

To solve for x, we divide both sides of the equation by $0.56:

x = $1.96 / $0.56

Using a calculator, we can calculate the value of x:

x = 3.5

Therefore, you purchased approximately 3.5 pounds of bananas.

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Answer:

Opens up

Step-by-step explanation:

Generally parabolas open up/down when you have an equation like this: \(y=a(x-h)^2+k\)

and when parabolas open to the left/right you have an equation as such: \(x=a(y-k)^2+h\)

Btw the k and h being in different places is not a typo.

Anyways the reason for why \(y=a(x-h)^2+k\) opens up, is for each x-value, you're only going to have one y-value. This is a parabola, so it's not a one-to-one function (where each output is unique), but it's still a function regardless.

But when you have this equation: \(x=a(y-k)^2+h\), there are two possible y-values, that will output the same x-value. Or in other words, each x-value (except the vertex) will have two outputs. So it's going to open sideways.

Anyways in the equation you provided we have the form: \(y=a(x-h)^2+k\) so the parabola is opening up or down. Now the only thing that really determines this is the "a" term"

when a > 0 the parabola opens up

when a < 0 the parabola opens down

Note: This only applies when the parabola opens up/down

Since we have a positive "a" term, the parabola opens up. This makes sense, since the base of the exponent: \((x-h)\) is going to be growing faster than the constant: \(-7\), so as \(x\implies \infty\) the function will be increasing. It is of course decreasing as \(x\implies1\), since at the vertex that's the minimum. The reason for this is because: \(f(h-x)=f(h+x)\) due to the symmetry of a parabola. So in our specific case: \(f(1+x)=f(1-x)\), this means that despite f(-100) having a lower x-value than f(50), it actually has a greater y-value, and has the same y-value as: f(102), since f(1-101) = f(1+101); meaning f(-100) = f(102). So as x goes towards zero, it's actually decreasing in this case. But after it passes the vertex, it will increase and go towards positive infinity.

Answer:

x power 2 and -9 is the result

To solve this question, we need to understand sample and population concepts.

From this, the answer is:

The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.

Example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents, which is the population of the study.

The sample will be: 1000 randomly selected New York state residents

The population will be: All New York state residents

In this question:

Sample: 25 females from each university in her state.

Population: All female college students in her student.

Thus, the correct statement is:

The 25 females that Julie interviews are the sample, and all female college students at state universities are the population.

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Answer:

44

Step-by-step explanation:

2 + 3 * 9 + 3 * 5

=> 2 + 27 + 15

=> 29 +15

=> 44

Answer:

\(2 + 3 \times 9 + 3 \times 5 \\ = 2 + 27 + 15 \\ = 44 \\ thank \: you\)

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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Answer:

y = - 3x + 7

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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3

the line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

The linear graph represents the given parameter

For the graph, we have the points

(0, 7) and (25, 0)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 7

Using the point (2.5, 0) on y = mx + 7, we have

m(2.5) + 7 = 0

2.5m + 7 = 0

Evaluate

m = -2.8

So, we have

y = -2.8x + 7

Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7

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The value of 2:3 can be written as a fraction: 2/3.

What is the ratio?

In mathematics, a ratio is a comparison of two quantities, often expressed as a fraction or using the colon (:) symbol. Ratios are used to indicate the relative size or amount of two or more things.

For example, the ratio of the length of a rectangle to its width can be expressed as a fraction, where the numerator represents the length and the denominator represents the width.

The ratio of hydrogen atoms to nitrogen atoms is 2:3.

This means that for every 2 hydrogen atoms, there are 3 nitrogen atoms in the container. The value of the ratio 2:3 is a way of expressing the relative quantity of hydrogen atoms to nitrogen atoms in a simplified form. It can also be written as a fraction: 2/3.

Hence, the value of 2:3 can be written as a fraction: 2/3.

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Answer:

\(a_{n} = -3n + 10\)

Step-by-step explanation:

The arithmentic function formula is:

\(a_{n} = a_{1} + d(n-1)\)

Let's plug in what we know. \(a_{1}\) (the first term in our sequence) is 7. d (the common difference) is -3. This means we are subtracting 3 every time.

Plugging that in to the formula, we get

\(a_{n} = 7 -3(n-1)\)

Now we distribute and combine like terms.

\(a_{n} = 7 - 3n +3\)

\(a_{n} = 10 - 3n\)

Change the order to fit the format and you get

\(a_{n} = -3n + 10\)

Answer:

4x^2 - 12x + 9

Explanation:

(2x - 3)^2

(2x - 3)(2x - 3)

2x(2x - 3) -3 (2x - 3)

4x^2 - 6x - 3 (2x - 3)

4x^2 - 6x - 6x + 9

4x^2 - 12x + 9

Answer:

B

Step-by-step explanation:

Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

449.40 Euro

Step-by-step explanation:

1 pound=1.12 euro

400*1.12=

b) Because it REFLECTING which means that is going across

Answer:

D is correct

Step-by-step explanation:

because the ponit started in quadrant 1 and the only thing that could change is the y-axis and the y-axis aloney went down and quadrant 4 is the only quadrant above 1 so that the answer

Answer:

b 2o i think sorry if its wrong

Answer:

  both functions have the same graph

Step-by-step explanation:

The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...

  y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)

  y = -7/9x +3

__

The second function is written in point-slope form:

  y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)

  y +11 = -7/9(x -18)

If we rearrange the second equation to the form of the first, we get ...

  y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11

  y = -7/9x +3 . . . . . . . matches the equation of the first function

__

Both functions describe the same relation.

For the graph formed by Bianca weight and height which is represented as x= 130 a vertical line describes that it has no slope.

Graph representing the weight and height of Bianca .

x-axis represents the weight in pounds of Bianca.

y-axis represents the height in inches of Bianca.

Line shown on graph is

x = 130 a vertical line

When a vertical line is represented on graph it means

x₁ = x₂ = x₃ =....= 130

y-coordinates keep on changing.

Slope = (y₂ - y₁ ) / ( x₂ - x₁ )

As x-coordinates are constant it means denominator is zero.

Line has no slope.

Therefore, graph representing weight and height with x= 130 shows it has no slope.

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The given question is incomplete, I answer the question in general according to my knowledge:

Bianca graphed her weight and height over the past several years. A graph titled Bianca's Height and Weight has weight in pounds on the x-axis and height in inches on the y-axis. A vertical line is at x = 130. Which describes the slope of the line on Bianca’s graph? Its slope is positive. Its slope is negative. Its slope is zero. It has no slope.

(A) Numbers are a unit in an abstract mathematical system that follow arithmetic principles.

A number is a numerical unit of measurement and labeling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.  

Number words are a linguistic way to express numbers.

Most commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.

In an abstract mathematical system, numbers are a unit governed by the rules of arithmetic.

Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number because only a small number of symbols can be learned.

Therefore, (A) numbers are a unit in an abstract mathematical system that follow arithmetic principles.

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Answer:

3.7

Step-by-step explanation:

The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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The order of the graphs from largest to lowest correlation coefficients is:

Graph D, Graph A, graph C, graph B.

The correlation coefficient between two variables is a coefficient that tells us "how much" these variables relate.

So, in the case for linear correlation, as "more linear" the data appears to be, a large correlation is between the two variables.

With that in mind, we conclude that the order of the graphs (going for larger correlation coefficient to smaller correlation coefficient) is:

Graph D, Graph A, graph C, graph B.

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All of the assertions are false. A statistically significant finding does not necessarily imply that the null hypothesis has been proven incorrect, nor does it indicate how likely it is to be true.

Generally speaking, the word "norm" describes something that is customary, typical, anticipated, or standard. Norms are established definitions of beneficial attitudes and actions that ought to be commonplace, or "the norm," whenever a group is working together. They apply to cooperation and collaboration.

When the variances are known and the sample size is large, a z-test is a statistical test that is used to assess whether two population means differ from one another.

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