sin 46° to the 4 decimal place

The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

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Answer:

10xy

Step-by-step explanation:

add all the sides

2y+3x+3x+2y

xy

Analysis of variance (ANOVA) is a statistical method of comparing the means of several populations.

ANOVA is used when there are three or more groups or populations that need to be compared. It determines whether there are any statistically significant differences among the means of these groups. The method analyzes the variation within each group as well as the variation between the groups to assess whether the differences observed are due to random chance or if there are true differences in the population means.

The primary goal of ANOVA is to test the null hypothesis that the population means are equal across all groups. If the null hypothesis is rejected, it indicates that at least one group significantly differs from the others.

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Answer:

-0.2x

Step-by-step explanation:

-0.2*sqrt(x^2)

-0.2x

Answer:

Step-by-step explanation:

I let heaza fa) - 90) it fra) - 9zand g(=84

what is hls) = ?

h(x) = ax - 8x

dca-cd an

da

da

din

xa nant

da

da

- 1 - 3 , 지

9(2

Equations are mathematical elaboration containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the representation written on the left side with the expression written on the right side.

In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be sorted to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

It will be measured as an expression. You will learn the difference between equation and expression in the later section of this definition.

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The given sequence is 6, 4.8, 3.6, 2.4, 1.2, ...

To find the nth term of this sequence, we can observe that each term is obtained by multiplying the previous term by 0.8. Therefore, the common ratio between the terms is 0.8.

To find the nth term, we can use the formula: an = \(a1 * r^{n-1)},\) where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

For this sequence, a1 = 6 and r = 0.8.

For the 1st term (n = 1): a1 = 6

For the 2nd term (n = 2): a2 =\(6 * 0.8^{(2-1)}\) = 4.8

For the 3rd term (n = 3): a3 =\(6 * 0.8^{(3-1)}\) = 3.84

For the 4th term (n = 4): a4 = \(6 * 0.8^{(4-1)}\)= 3.072

For the 5th term (n = 5): a5 =\(6 * 0.8^{(5-1)}\) = 2.4576

Therefore, the nth term for this sequence is an = 6 * 0.8^(n-1), and the 1525th term would be a1525 = \(6 * 0.8^{(1525-1)}.\)

The given sequence is 13, 11, 9, 7, 5, ...

To find the nth term of this sequence, we can observe that each term is obtained by subtracting 2 from the previous term. Therefore, the common difference between the terms is -2.

To find the nth term, we can use the formula: an = a1 + d * (n-1), where an is the nth term, a1 is the first term, d is the common difference, and n is the term number.

For this sequence, a1 = 13 and d = -2.

For the 1st term (n = 1): \(a1 = 13\)

For the 2nd term (n = 2): \(a2 = 13 + (-2) * (2-1) = 11\)

For the 3rd term (n = 3): \(a3 = 13 + (-2) * (3-1) = 9\)

For the 4th term (n = 4): \(a4 = 13 + (-2) * (4-1) = 7\)

For the 5th term (n = 5): \(a5 = 13 + (-2) * (5-1) = 5\)

Therefore, the nth term for this sequence is an = \(13 + (-2) * (n-1\)), and the 1525th term would be \(a1525 = 13 + (-2) * (1525-1).\)

The given explicit formula for the arithmetic sequence is nth = 65 - 100n.

To find the first five terms, we substitute n = 1, 2, 3, 4, and 5 into the formula:

For the 1st term (n = 1): \(a1 = 65 - 100 * 1 = -35\)

For the 2nd term (n = 2): \(a3 = 65 - 100 * 3 = -235\)

For the 3rd term(n = 3): \(a3 = 65 - 100 * 3 = -235\)

For the 4th term (n = 4): \(a4 = 65 - 100 * 4 = -335\)

For the 5th term (n = 5): \(a5 = 65 - 100 * 5 = -435\)

Therefore, the first five terms of this arithmetic sequence are: -35, -135, -235, -335, -435.

To find the 39th term, we substitute n = 39 into the formula:

\(a39 = 65 - 100 * 39 = 65 - 3900 = -3835\)

Therefore, the 39th term of this arithmetic sequence is -3835.

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Answer:

D

Step-by-step explanation:

Prime factorize 60

\(\sqrt{60}=\sqrt{2*2*3*5}=2\sqrt{3*5}=2\sqrt{15}\)

Answer:

14.69...

Step-by-step explanation:

\(\sqrt{216} = 14.69...\)

The time that you will arrive at your destination, given the distance of the trip and the average speed, is 2 pm

To find the time of arrival by using the car going at 90 km /h, you need to find the time that the whole trip would take.

The time the trip would take is found by the formula:

= Distance of trip / Average speed

= 495 / 90

= 5 . 5 hours

0.5 hours is 30 minutes so this is 5 hours 30 minutes.

The time you will arrive is therefore:

= 8 : 30 + 5 hours 30 minutes

= 2 pm

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The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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Answer:

X=4 and y=4

Step-by-step explanation:

Equate the corresponding coordinate and solves it simultaneously

The equation of line b is y = -3x.

An equation is a mathematical statement that expresses the equality of two expressions. It is a representation of a relationship between two or more variables, and it can be written using symbols, numbers, and/or words. Equations are used to describe physical and chemical processes, to calculate unknown values, and to solve problems. Equations are fundamental to all areas of mathematics, science, engineering, and technology.

The equation of line b can be determined by finding the negative reciprocal of the slope of line a. The equation of line a is y = 1/3x + 3, which has a slope of 1/3.

Therefore, the slope of line b is the negative reciprocal of 1/3, which is -3. The equation of line b can be determined by using the slope-intercept form, y = mx + b. Substituting m = -3 and b = 0, the equation of line b is y = -3x + 0. Therefore, the equation of line b is y = -3x.

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If the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.

When the scale factor between the sides of a shape is given, the scale factors between the surface areas and volumes can be determined by considering the relationship between the dimensions.

Let's denote the scale factor between the sides as "k."

For surface area:

The surface area of a shape is determined by the square of its linear dimensions. Therefore, the scale factor for the surface area will be k^2. In this case, if the scale factor between the sides is 5, the scale factor between the surface areas will be 5^2 = 25.

For volume:

The volume of a shape is determined by the cube of its linear dimensions. Hence, the scale factor for the volume will be k^3. Given that the scale factor between the sides is 5, the scale factor between the volumes will be 5^3 = 125.

Therefore, if the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.

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The residual for each of the coordinate pairs, (x, y) are-

a) -3.1; b) -0.2; c)  0.32; d) 0; e) -0.1; f) -6.96.

For the stated question;

Data is given by the line of best fit as;

y = 1.1x + 3.4

Then, the residual for the given coordinates are found as;

Residual = y - (1.1x + 3.4)

a. (5,8.8)

Residual = 5.8 - (1.1(5) + 3.4)

Residual = -3.1

b. (2.5,5.95)

Residual = 5.95 - (1.1(2.5) + 3.4)

Residual = -0.2

c. ((0,3.72)

Residual = 3.72 - (1.1(0) + 3.4)

Residual = 0.32

d. (1.5,5.05)

Residual = 5.05 - (1.1(1.5) + 3.4)

Residual = 0

e. (-3,0)

Residual = 0 - (1.1(-3) + 3.4)

Residual = -0.1

f. (-5,-4.86)

Residual = -4.86 - (1.1(-5) + 3.4)

Residual =  -6.96

Thus, the residual for each of the coordinate pairs, (x, y) are found.

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E is invertible by finding its inverse, which is also an elementary matrix of the second type. The inverse of E undoes the elementary row operations used to create E, allowing us to recover the original matrix.

In linear algebra, elementary row operations are actions that we can perform on the rows of a matrix. There are three types of elementary row operations:

1. Switching two rows: This operation involves swapping the positions of two rows in a matrix.

2. Replacing a row by the row plus a multiple of another row: In this operation, we multiply one row of a matrix by a number and then add it to another row, replacing the second row with the result.

3. Multiplying (scaling) a row by a non-zero scalar: This operation involves multiplying all the elements of a row by a non-zero number.

Now, let's consider a matrix called E. To show that E is invertible, we need to find the inverse of E. The inverse of a matrix is another matrix that, when multiplied with the original matrix, gives the identity matrix as the result.

Interestingly, the inverse of E is also an elementary matrix of the second type. An elementary matrix of the second type is a matrix that can be obtained by applying elementary row operations to the identity matrix.

By performing the reverse operations of the elementary row operations used to create E, we can obtain its inverse, denoted as E^(-1). This inverse matrix will have the property that when multiplied with E, it will yield the identity matrix.

Finding the inverse of E allows us to "undo" the elementary row operations used to create E. This is significant because it means that by applying the inverse operations in reverse order, we can return to the original matrix.

In summary, we can show that E is invertible by finding its inverse, which is also an elementary matrix of the second type. The inverse of E undoes the elementary row operations used to create E, allowing us to recover the original matrix.

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B is the answer.............

The probability that exactly 7 employees out of 23 sent complete the program is 0.217 or 21.7%.

In this case, the number of trials is 23, and the probability of success is 0.4 (since, on average, 40% of those sent complete the program). We want to find the probability of exactly 7 successes.

The binomial probability formula is:

P(X=k) = \((^n_k) \times p^k \times (1-p)^{(n-k)}\)

Where P(X=k) is the probability of k successes, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Using this formula, we can calculate the probability of exactly 7 employees completing the program as follows:

P(X=7) = \((^{23} _7) \times 0.4^7 \times (1-0.4)^{(23-7)}\)

= 0.217 or 21.7%

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Answer:

Step-by-step explanation:

Answer:

$188

Step-by-step explanation:

Multiply the cost of the frame by 15 and then add the shipping cost:

(12 x 15) + 8 = 180 + 8 = 188

Answer:

the first choice :)

Step-by-step explanation:

Answer:

Option A:   A = {CBA, CAB, BCA, ACB}

This experiment has 36 possible combinations, and we will see that:

First, we need to find the total number of outcomes.

We have two dice with 6 outcomes each, so the total number of outcomes of the experiment of tossing the two dice is:

C = 6*6 = 36

Such that the sample space is all the numbers between 2 and 12 (because our variable is the sum of the two values).

Now, to get the probability of winning we need to count the number of outcomes that add to 7 or 11, these are:

(Add to 7)

dice 1    dice 2            

   1            6                  

  2            5                  

   6           1

   5            2

    4           3

    3            4

(Add to 11)

dice 1    dice 2          

  5            6

  6             5

So there are 8 outcomes, then the probability of winning is:

P = 8/36  =0.22

The probability of losing is when the sum adds to 2, 3, or 12.

The outcomes that add to that:

(Add to 2)

dice 1    dice 2    

1               1

(Add to 3)

dice 1    dice 2    

 1              2

 2              1

(Add to 12)

dice 1    dice 2    

  6            6

There are 4 outcomes that add to these values, so the probability of losing is:

P = 4/36 = 0.11

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In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.

So, using the variable 'y' to represent the missing number and simplifying the equation, we have:

Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:

So the missing number is 10.

Answer:

Slope is 3

y - intercept is -1

Answer:

slope = 3, y- intercept is - 1

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 )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3 and y- intercept c = - 1

To find the average rate of change of a function from x1 to x2, you need to calculate the difference in the function's values at x1 and x2, and divide it by the difference in the x-values. The formula for average rate of change is (f(x2) - f(x1)) / (x2 - x1).

The average rate of change measures the average rate at which a function is changing over a given interval. To calculate it, you subtract the function's values at the starting point (x1) and ending point (x2), and then divide it by the difference in the x-values. This gives you the average rate of change for the interval from x1 to x2.

Example: Let's say we have a function f(x) = 2x + 3. To find the average rate of change from x1 = 1 to x2 = 4, we substitute these values into the formula: (f(4) - f(1)) / (4 - 1). Simplifying, we get (11 - 5) / 3 = 6 / 3 = 2. Therefore, the average rate of change of the function from x1 = 1 to x2 = 4 is 2.

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The total surface area of the triangular prism is 14 cm².

A closed solid with two parallel triangle bases joined by a rectangular surface is known as a triangular prism.

The total surface area of the triangular prism will be:

Total area = 3 × (area of rectangle) + 2 × (area of triangle)

The area of the triangle will be:

= 1/2 × 2 × 4

= 4

The area of the rectangle will be:

= 2 × 1

= 2

Then the total area will be:

= (2 × 4) + (3 × 2)

= 14 cm²

The total surface area of the triangular prism is 14 cm².

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