5.7 is rational
true or false?

We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

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The coordinates of the vertices of triangle L M N are given by L(1, 4), M(7, 4), and N(4, 1). The correct option is A.  19.4 units.

The perimeter of a triangle is the total distance around its exterior, given by the sum of the lengths of its sides. So, the perimeter of triangle L M N can be found by adding the lengths of the sides together.Perimeter of triangle L M N:LM + MN + NL = [(7 − 1)2 + (4 − 4)2]1/2 + [(4 − 7)2 + (1 − 4)2]1/2 + [(1 − 4)2 + (4 − 1)2]1/2= [36]1/2 + [18]1/2 + [18]1/2≈ 19.4 units.The correct option is A.  19.4 units.

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Answer:

x y

-2 -9

0 1

2 -9

4 -19

explanation:

you simply replace the x with the figure given in the x table or columns or rows

Answer:

so -2024y0000 division is s

Answer:

A

Step-by-step explanation:

Answer:

it’s in the first one

Step-by-step explanation:

so it’s quadrant I.

Answer:

its A. Quadrant 1

Step-by-step explanation:

I had a test on it :)

After performing the linear regression evaluation, the equation of the regression line is:

(i) y = 1.40x + 1.45

To locate the linear regression line for the given records, we will use a statistical software program or a calculator. By analyzing the data points, we can decide the equation of the road that satisfactorily represents the connection between the hours of the stand being open (x) and the profit (y).

After performing the linear regression evaluation, the equation of the regression line is:

y = 1.40x + 1.45

This equation shows that for each extra hour the stand is open, the profit increases by using $1.40. The y-intercept, represented with the aid of the regular term 1.45, shows that although the stand isn't always open, there may be nevertheless a base income of $1.45.

The linear regression line for the given statistics indicates a positive relationship between the hours of the stand being open and the earnings earned. As the hour's increase, the earnings have a tendency to increase as nicely.

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The correct question is:

The linear regression line for the given data is y = 1.28x + 2.93. This equation represents the relationship between the hours the stand is open (x) and the corresponding profit (y).

To find the linear regression line for the given data, we can use statistical software or a calculator. The linear regression line represents the best fit line through the data points.

First, we list the given x and y values:

x: 1, 2, 3, 4, 5, 6, 7

y: 3.58, 5.18, 6.24, 7.97, 7.09, 8.31, 11.33

Using the software, we calculate the linear regression line. The result is y = 1.28x + 2.93, rounded to two decimal places.

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QUESTION

gabriel and raj were running a lemonade stand at the local park. they decided to pay their sister to operate the stand. the following values represent the profit y after x hours of the stand being open. using a calculator or statistical software, find the linear regression line for the data. enter your answer in the form y =mx+b, with m and b both rounded to two decimal places.

X    Y

1   3.58

2   5.18

3   6.24

4    7.97

5   7.09

6    8.31

7    11.33

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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The product of 2/3y and y is \(2/3y^2.\)

The product of 2/3y and y can be found by multiplying the numerators and denominators separately.

To multiply the numerators, we multiply 2 and 1 (since y can be written as y/1).

This gives us 2.

To multiply the denominators, we multiply 3y and 1.

This gives us 3y.

Therefore, the product of 2/3y and y is \(2/3y * y =\)  \(2/3y^2.\)

In general, when multiplying fractions, we multiply the numerators and the denominators separately.

So, if we have a fraction a/b and another fraction c/d, their product would be ac/bd.

However, in this specific case, the expression can be simplified further.

Since we have y in both the numerator and denominator, they cancel out, leaving us with  \(2/3y^2.\)

To summarize, the product of 2/3y and y is  \(2/3y^2.\)

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The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Answer:

156

Step-by-step explanation:

you need to multiply

Answer:

a=6

Step-by-step explanation:

Answer:

The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;

7

Step-by-step explanation:

The coordinate of the given point 'P' is P = (3, -5)

The preimage of (x, y) after the translation, \(T_{(x, \ y)}\) = (x-coordinate + 4, y-coordinate - 3)

Therefore, the translation, \(T_{(x, \ y)}\) = T₍₄, ₋₃₎

Therefore, we have;

Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows

P(3, -5) \(\overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}\)P'(3 + 4, -5 - 3) = P'(7, -8)

Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.

Answer:

maybe the answer is equal. not sure.

Answer:

The answer is smaller

Step-by-step explanation:

because when we multiply two small ones we get a big one

Answer:

what are all the angles?

Step-by-step explanation:

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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In response to the query, Line C traverses Point (10, 10) & (1, 5). Line d and line c are parallel, and line d's slope is 5/9.

Parallel in mathematics refers to the different vectors that should never have cross each other with. Parallel relates directly to complementarity or contemporaneous higher incidence.

A straight line's general equation is: y = mx + c [m] where [m] is the slope of the line and represents the unit change rate of [y] without respect to [x].

The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].

When (x1, y1) and (x2, y2) are really the coordinates of 2 points on the line, m = (y2 - y1) / (x2 - x1).

adding the values we obtain,

m = (5 - 10) / (1 - 10) = -5 / -9 = 5/9

Therefore, the slope of line [d] would be 5/9.

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Answer:

42.39in^3

Step-by-step explanation:

half of 3= 1.5

Which 1.5 would be our radius. (r)

V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)

V= (3.14) x 1.5^2 x 6

V= (3.14) x 2.25 x 6

V= 42.39in^3

The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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The answer is letter C. This is because line PQ and RS does not describe a slope. Because PQ and RS are in straight horizontal lines. So it is impossible for PQ and RS to have a slope or a diagonal form.

Answer:

C

Step-by-step explanation:

If A is an n x n matrix with an eigenvalue of λ with multiplicity n, we want to prove that A is diagonalizable if and only if A = λI, where I is the n x n identity matrix.

To show the forward implication, assume A is diagonalizable. Since A has an eigenvalue of λ with multiplicity n, its characteristic polynomial can be written as (λ - λ)^n = 0.

This implies that A has only one eigenvalue, which is λ, and all other eigenvalues must be zero. Since A is diagonalizable, it can be written as A = PDP^(-1), where D is a diagonal matrix containing the eigenvalues of A.

As A has only one eigenvalue, D will have a single entry λ on its diagonal. Therefore, A = λI, where I is the n x n identity matrix.

For the reverse implication, assume A = λI. In this case, the characteristic polynomial of A is (λ - λ)^n = 0, indicating that λ is the only eigenvalue of A with multiplicity n. Moreover, A can be easily diagonalized since it is already in diagonal form.

In summary, if A is an n x n matrix with an eigenvalue of λ with multiplicity n, A is diagonalizable if and only if A = λI, where I is the n x n identity matrix.

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Answer:

um we cant hear the sound part so

Step-by-step explanation:

The function f(x) = 3x + 3 - x is neither even nor odd.

The y-axis of the function k's graph is symmetric. This is apparent because, if we reflect any point on the graph across the y-axis, we will obtain a second point on the graph. For purposes of formal definition, the function k is even since k(-x) = k(x) for every x within the range of k.

If the function f(x) = 3x + 3 - x fits the requirements for even or odd functions, we may determine whether it is even, odd, or neither.

Being symmetric around the y-axis means that an even function has f(-x) = f(x) for every x falling inside its domain.

An odd function is symmetric around the origin, which means that for any x falling within the domain of f, f(-x) = -f(x).

We evaluate f(-x) and f(x) to see if they are equivalent in order to determine whether f(x) is even:

f(x) = 3x + 3 - x = 2x + 3 while f(-x) = 3x + 3 - x = -2x + 3

The function f(x) is not even since f(-x) is not equal to f(x).

We assess f(-x) and -f(x) and see if they are equivalent to determine whether f(x) is odd:

F(x) = -3(x) + 3(x) - (x) = -2x + 3 F(x) = -(3x + 3(x) - x) = -2x - 3

The function f(x) is not weird since f(-x) does not equate to -f(x).

The function f(x) = 3x + 3 - x is therefore neither even nor odd.

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Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

Given that 2y = x + 2

To graph the following equation, we need two solutions

To find x, put y = 0

To find y, put x = 0

The two solutions to be graph is (-2, 0) and (0, 1)