what trig function would you use to find y using 47 angle

Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.

Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.

Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).

Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.

Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.

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Ivan could work any whole number of hours greater than 9 to earn more than $63.

Let's denote the number of hours Ivan works by 'h'.

Ivan charges $8 per hour, so his earnings 'E' can be expressed as:

E = 8h - 9

We want to find the possible numbers of hours Ivan could work to earn more than $63, so we can set up the inequality:

8h - 9 > 63

Adding 9 to both sides, we get:

8h > 72

Dividing both sides by 8, we get:

h > 9

Therefore, Ivan must work more than 9 hours to earn more than $63. However, since the number of hours worked must be a positive integer, the possible numbers of hours Ivan could work are:

10, 11, 12, ...

In other words, Ivan could work any whole number of hours greater than 9 to earn more than $63.

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A list of steps, in order, that will solve the following equation include the following:

In order to create a list of steps and determine the solution to the equation, we would have to add 5 to both sides and divide both sides by 2 in order to open the parenthesis as follows;

2(x + 3) – 5 = 123

2(x + 3) – 5 + 5 = 123 + 5

2(x + 3) = 128

By dividing both sides of the equation by 2, we have the following:

2(x + 3)/2 = 128/2

x + 3 = 64

By subtracting 3 from both sides of the equation, we have the following:

x + 3 - 3 = 64 - 3

x = 61

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Answer:

3 2/3 square feet.

Step-by-step explanation:

You just need to multiply 6 and 4 2/3. To do this you have to change both of them into improper fractions so 6 would be 21/3 and 4 2/3 would be 14/3. If you cross cancel the 21/3 will become 7/3 and the 14/3 will become 14/1. Now you have to multiply across and you should get 98/3. To change the improper fraction into a mixed number you have to divide 98 and 3 so you can get 3 2/3. Therefore, the answer to the area of the quilt is 3 2/3 square feet.

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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It's important to note that while these methods may be used for inferences on two population proportions, the choice of method depends on the specific research question, data, and assumptions.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent approaches, while the P-value method is a distinct approach. Let's discuss each of these methods in more detail.

Confidence Interval Method:

The confidence interval method involves constructing a confidence interval around the sample estimate of the difference between two population proportions. The confidence interval provides a range of plausible values for the true difference in proportions, along with a specified level of confidence. The confidence interval is calculated using the sample proportions, sample sizes, and the appropriate critical value based on the desired level of confidence. If the confidence interval does not contain zero, it suggests that there is a statistically significant difference between the two population proportions.

P-Value Method:

The P-value method involves calculating the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. In the context of comparing two population proportions, the null hypothesis typically assumes that the two proportions are equal. The P-value is then compared to the significance level (commonly denoted as alpha) to determine whether the null hypothesis is rejected or not. If the P-value is less than the significance level, the null hypothesis is rejected, suggesting a statistically significant difference between the proportions.

Critical Value Method:

The critical value method involves comparing the test statistic (such as the z-statistic or chi-square statistic) to the appropriate critical value determined based on the desired level of significance. The critical value corresponds to the cutoff point beyond which the null hypothesis is rejected. If the test statistic exceeds the critical value, the null hypothesis is rejected, indicating a statistically significant difference between the proportions.

So, to summarize:

The confidence interval method and the critical value method are equivalent because they both provide a range of plausible values for the difference in proportions and use critical values based on the desired level of confidence or significance.

The P-value method is distinct as it calculates the probability of obtaining the observed test statistic under the assumption of the null hypothesis and compares it to the significance level.

It's recommended to consider the context and consult statistical guidelines or a statistical expert when conducting hypothesis testing or constructing confidence intervals for two population proportions.

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Translation of the Ax=0 solution set yields the Ax-b solution set since Ax-b is consistent. The Ax = b solution set is therefore a single vector if and only if the Ax = 0 solution set is a single vector, which occurs if and only if Ax 0 has only the trivial solution.

Finding the solution to an equation is like finding the solution to a puzzle. A mathematical equation proves the equality of two algebraic expressions. Determine the values of the variables that make the equation a true statement in order to solve an equation. An equation's solution is any value that causes the equation to be true.

given

Let's suppose that there is a solution to the equation ax = b.

Now, we want to demonstrate that the trivial solution exists for the equation ax = b when ax = 0.

Ax = 0 is homogeneous.

In the event that this equation was true for b, we define

To be a set of vectors with the form ax = b

w = m + gh

The subscript "h"

A solution to ax = 0 is gh.

Ax=b is in the form of w= m+gh based on the information we know had.

with

m = ax=solution b's

Soulution of gh = ax=0

Only a simple solution, ax = 0, exists.

gh = 0

where gh = 0

The relationship between ax=b and w=m

Ax = b thus has no alternative solutions.

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The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

410.305

Step-by-step explanation:

I forgot how to do standard sorry..

Answer:

\(\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}\)

\(\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}\)

Step-by-step explanation:

Volume of cylinder = π × ( radius ) ² × h

1.) Here, radius = 4.25 in and height = 14 in.

Volume of cylinder = π × ( radius ) ² × height

substitute the values

Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.

now, simplify

= 3.14 × 18.0625 in²× 14 in.

= 3.14 × 252.875 in³

multiplying the value

= 794.0275 in³

\( \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}\)

2.) Here, radius = 7 in. and height = 8.5 in.

Volume of cylinder Q = π × ( radius ) ² × height

substitute the values

Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.

Simplify

= 3.14 × 49 in² × 8.5 in.

multiply the values

= 3.14 × 416.5 in³

\( \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}\)

Answer:

she should get 4 strawberries and 4 blueberries

if she gets 4 strawberries 4 x 3 is 12

and if she gets 4 blueberries 4 x 1 is 4

if x is strawberries and y is blueberries

It may be A.....

Answer:

(6,4)

Step-by-step explanation:

Midpoint=((x1+x2)/2 ,(y1+y2)/2)

((10+2)/2 ,(7+1)/2)

(6,4)

x1=10

x2=2

y1=2

y2=1

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer:

Hi there! I can help you! An inequality does not involve just an equal sign. It helps us get a clearer picture of the ranges of the amount that work in different situations. In this case, out inequality would be this:

62 + x ≥ 85

We are looking for how much more money needs to be saved. it could be right at that amount or equal to, so we use the greater than or equal to symbol. 62 is what we already have, so we put that amount in the expression as well. We are doing this to find the amount away from 85.

How to solve it:

Okay. So first things first, we will subtract 62 from both sides. 62 - 62 cancels out. 85 - 62 is 23. That's it! x ≥ 23. At least, Chantel will need to save $23 more in order to buy the pair of shoes she wants.

Step-by-step explanation:

Answer:

The larger wheel is 10979.04098 more than the smaller wheel.

Step-by-step explanation:

Given that,

The circumference of the great wheel was twelve thousand and forty-one thousandth inches.

C = 12000.041 inches

The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.

C' = 1021.00002 inches

We need to find how much larger was the great wheel. To find it, take the difference of C and C'.

C-C' = 12000.041 inches - 1021.00002 inches

= 10979.04098 inches

Hence, the larger wheel is 10979.04098 more than the smaller wheel.

The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.

The given table shows the height of a candle as it burns continuously over time. The first column represents time in hours, ranging from 0 to 1, while the second column represents the corresponding height in centimeters.

From the data, we can observe that the candle starts at a height of 25 centimeters when the time is 0 hours. As time progresses, the height of the candle decreases gradually. Specifically, for every hour that passes, the candle burns 0.625 centimeters.

Therefore, the main answer is that the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.

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Answer: x = y + −3/2

Step-by-step explanation:

Let's solve for x.

−3+5y=2x+3y

Step 1: Flip the equation.

2x+3y=5y−3

Step 2: Add -3y to both sides.

2x+3y+−3y=5y−3+−3y

2x=2y−3

Step 3: Divide both sides by 2.

2x/2 = 2y - 3/2

ANSWER: x = y + -3/2

The coordinates of point B after reflected over point (-1, 2) are (3,8).

The coordinates of point B can be found by subtracting the coordinates of point (-5,-4) from the coordinates of point (-1,2). This effectively reflects the point over the origin (0,0). The coordinates of point B are (4,6).

To find the coordinates of point B when it is reflected over point (-1,2), we need to take the coordinates of point (-5,-4) and add them to the coordinates of point (-1,2). This effectively shifts the origin to (-1,2) and reflects the point over this shifted origin. The coordinates of point B are (3,8).

Therefore, the coordinates of point B after reflected over point (-1, 2) are (3,8).

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y = 5 - 7

=> y = -2 -------(i)

y = -2x + 7

=> -2 = -2x + 7 [From (i)]

=> -2 -7 = -2x

=> -9 = -2x

=> -9/-2 = x

=> 9/2 = x

So, x = 9/2 and y = -2

The matrix A is diagonalizable, and its eigenvalues are 0 and -1.

Given the matrices A and P, we can verify that A is diagonalizable by computing P⁻¹AP.
First, let's compute the inverse of P, denoted as P⁻¹:
P = [(-4, -5), (-1, -1)]
Determinant of P, \(det(P)\) = (-4 × -1) - (-5 × -1) = 4 - 5 = -1
P⁻¹ = \(\frac{1}{det(P)}\) × [(−1, 5), (1, −4)]
P⁻¹ = [-1, -5, -1, 4]
Now, we can calculate P⁻¹AP:
P⁻¹A = [(-1, -5, -1, 4)] × [(14, -60), (3, -13)]= [(17, -65), (2, -8)]
P⁻¹AP = [(17, -65), (2, -8)] × [(-4, -5), (-1, -1)]= [(0, 3), (0, -1)]
So, A is diagonalizable, as P⁻¹AP results in a diagonal matrix.
As per the Similar Matrices theorem, A and P⁻¹AP have the same eigenvalues. Since we have found that A is diagonalizable, we can directly read the eigenvalues from the diagonal matrix obtained in part (a).
Eigenvalues of A = (0, -1)

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Answer:

Step-by-step explanation:

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.

Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Answer:

B. Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

C. Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.

E. Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Step-by-step explanation:

I just did the test and got this correct.

(please mark brainliest)

Have a good day!

The length and width of the postcard are 5.5±0.5  and \(\frac{31}{8} \pm \frac{3}{8}\)

Given that, the machine will accept postcards whose length is between 5 inches and 6 inches. Let the length of the postcard be represented as x±y, therefore

x - y =5    equation 1

x+y=6      equation 2

Add equations (1) and (2), and we get

2x=11

x=5.5

Putting the value of x=5.5 into equation (1), we get y=0.5

Therefore, the length of the postcard can be represented by 5.5±0.5 inches

Given, that the machine will accept a postcard whose width is between \(\frac{7}{2}\) and \(\frac{17}{4}\) inches. Let the width of the postcard be represented as x±y, therefore

​x -y = \(\frac{7}{2}\)

x + y = \(\frac{17}{4}\)

adding both the equation

2x = \(\frac{31}{4}\)

x = \(\frac{31}{8}\)

Putting the value of x=\(\dfrac{31}{8}\)  into equation (1), we get \(y=\dfrac{3}{8}\) . Therefore the width of the postcard can be represented as \(\dfrac{31}{8} \pm \dfrac{3}{8}\) inches.

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The average rate of change of f between x = 6 and x = 10 is 16.

(a) To evaluate f(0), f(6), and f(a + 6), we substitute the respective values into the function f(x) = x² + 1:

f(0) = 0² + 1 = 1

f(6) = 6² + 1 = 37

f(a + 6) = (a + 6)² + 1 = a² + 12a + 37

(b) To find the domain of f, we need to consider the values of x for which the function is defined. Since f(x) = x² + 1 is a polynomial function, it is defined for all real numbers. Therefore, the domain of f is (-∞, +∞) or (-∞, ∞) in interval notation.

(c) The average rate of change of f between x = 6 and x = 10 is given by the slope of the secant line passing through the points (6, f(6)) and (10, f(10)). We can calculate it as follows:

Average rate of change = (f(10) - f(6)) / (10 - 6)

To find f(10), we substitute x = 10 into the function:

f(10) = 10² + 1 = 101

Substituting the values into the formula, we have:

Average rate of change = (101 - 37) / (10 - 6)

= 64 / 4

= 16

Therefore, the average rate of change of f between x = 6 and x = 10 is 16.

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Answer:

5

Step-by-step explanation:

Use the distance formula: \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\sqrt{(-5-(-9))^2+(-5-(-2))^2} \\\\\sqrt{(4)^2+(-3)^2}\\\\\sqrt{16+9}\\\\\sqrt{25}\\\\5\)

Answer:

$216 is what I think the answer is

Answer:

n = 3

Step-by-step explanation:

5/15 = n/9​

We can solve using cross products

15 n = 5*9

15n = 45

Divide each side by 15

15n/15 = 45/15

n = 3

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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