Rewrite cos ( x + π 4 ) in terms of sin (x) and cos (x)

By using the formula for the distance between two points we will see that the distance between the two points is √80 is 8.9

The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line.

Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.

The general formula for the distance between two points (a, b) and (c, d) is:

Distance = √[(a-d)²+(b - c)²]

In this case, we have the points (-4,1) and (4,5), replacing that in the above formula we get:

Distance = √[(-4-4)²+(1-5)²]

= √80

=8.9

Therefore the distance between the two points (-4,1) and (4,5) is 8.9

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Answer:

252008 miles 405696 km from earth

Step-by-step explanation:

Answer:

\(\boxed{x^4+4x^3y+6x^2y^2+4xy^3+y^4\\}\)

Step-by-step explanation:

Pascal’s triangle defines the coefficients which appear in binomial expansions. That means the nth row of Pascal’s triangle comprises the coefficients of the expanded expression of the polynomial (a + b)ⁿ

To create Pascal's triangle for any n in (a + b)ⁿ ,

Here is Pascal's triangle for the first 5 rows. The first row is row 0

Row #                                      

0                  1              

1               1    1            

2            1    2    1        

3         1    3    3    1      

4      1    4    6    4    1

\(\textrm{ Here row 0 represents $(a + b)^0$ }\) =   \(\boxed{\textbf{1}}\)

\(\textrm{Row 1 corresponds to $(a + b)^1$} =\)  \(\boxed{1}\;a + \boxed{1}\;b\)

\(\textrm{Row 2 corresponds to $(a + b)^2$} = \boxed{1}\;a^2 + \boxed{2} \;ab +\boxed{1}\;b^2\)

\(\textrm{Row 3 corresponds to $(a + b)^3$} = \boxed{1}\;a^3 + \boxed{3}\;a^2b + \boxed{3}\;ab^2 + \boxed{1}\;b^3\)

\(\textrm{Row 4 corresponds to $(a + b)^4$} = \boxed{1}\;b^4 + \boxed{4} \;a^3b +\boxed{6}\;a^2b^2 + \boxed{4} \;ab^3 + \boxed{1} \;b^4\)

For the specific problem, (4x + 3y)³ use coefficients of row 3 and use 4x instead of a and 3y instead of b

\(\mbox{\normal(4x + 3y)^3= \boxed{1}\;(4x)^3 + \boxed{3}\;(4x)^2(3y) + \boxed{3}\;4x(3y)^2 + \boxed{1}\;(3y)^3}\)

\(= \boxed{x^4+4x^3y+6x^2y^2+4xy^3+y^4\\} \;\;\; \textrm{ANSWER}\)

Step-by-step explanation:

l don't know how to solve

it

The adjusted coefficient of determination, R2a, cannot be determined without additional information about the model.

To calculate the adjusted coefficient of determination, R2a, we need additional information about the model. The adjusted R2 value takes into account the number of predictors and the sample size to provide a more accurate measure of the model's goodness of fit. Without knowing the specific model, the number of predictors, and the sample size, it is not possible to calculate the adjusted coefficient of determination.

The adjusted R2 formula is given by:

R2a = 1 - [(1 - R2) * (n - 1) / (n - p - 1)]

Here, R2 represents the coefficient of determination, n represents the sample size, and p represents the number of predictors in the model.

Without these values, it is not feasible to determine the adjusted coefficient of determination.

Question:  What is the adjusted coefficient of determination, R2a?

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The correct answer is C for the first part and A for the second part.

What is Excel: MS Excel is a commonly used Microsoft Office application. It is a spreadsheet program which is used to save and analyse numerical data. Microsoft Excel is a spreadsheet program available in the Microsoft Office Package. MS Excel is used to create Worksheets (spreadsheets) to store and organize data in a table format. Microsoft Excel is one of the most used software application in the world. Excel have the Powerful Tools and Functions, using it for wide verity of applications across the global IT Companies. It is easy to enter the data, read and manipulate the data. Excel stores the data in a table format in Rows and Columns. Microsoft Excel used for storing the data, processing the data, analyzing and presenting the data.We can enter data in Strings, Dates or Numerical type of Data in the Excel Cells and Save the Files for future reference. For the first part: Excel > FactSet ribbon > Settings > Manage Hotkeys. This will bring up a window displaying all of FactSet's hotkeys, which can be customized or modified. For the second part:  CTRL+M modifies a formula in the Edit tab of Sidebar. This hotkey allows users to make changes to the formula without having to manually click through the various options in the Sidebar.

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Answer:

A

Step-by-step explanation:

Answer:

15 dollars

Step-by-step explanation:

21 - 18 = 3

18 - 3 = 15

I hope this helps have a good day and stay safe!

Answer:

15

Step-by-step explanation:

one  pen is three dollars. that leaves 15 dollars left over.

If correct may l please have brainliest?

Answer:

142

Step-by-step explanation:

\(76.216=76\\66.36=66\)

\(76+66=142\)

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

The linear inequality represented by the graph is given as follows:

y < 1/4x + 2.

The dashed line is a linear function, hence the slope-intercept format of the inequality is given as follows:

y < mx + b.

(the sign is < because the line is dashed and not solid).

In which the coefficients are given as follows:

The line crosses the y-axis at y = 2, hence the intercept b is given as follows:

b = 2.

When x = -8, y = 0, thus when x increases by 8, y increases by 2, meaning that the slope is given as follows:

m = 2/8

m = 1/4.

Thus the inequality is given as follows:

y < 1/4x + 2.

The graph of the linear inequality is given by the image shown at the end of the answer.

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This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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The total number of different rainbow splits an ice cream store can advertise as per the 30 different flavors equals 24,360.

Total number of different flavors present in the ice cream store is equal to 30

Number of different scoop of ice cream used to make rainbow banana-boat-split is equal to 3

Total number of different rainbow splits ice cream store can advertise

= ³⁰P₃

= ( 30! ) / ( 30 - 3 )!

= 30 × 29 × 28 × 27! / 27!

=  30 × 29 × 28

= 24, 360

Therefore, the number of different rainbow splits can be advertised by ice cream store is equal to 24,360.

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To make the larger sculpture with each linear dimension 75% greater, the artist needs to use 265.625% or 3.65625 times more clay than the original sculpture.

Let's assume that the original sculpture is a cube with side length x cm. Therefore, its volume would be x³ cm³.

To make the larger sculpture, each linear dimension needs to be increased by 75%, which means that each side length will become 1.75x cm. Thus, the new volume of the sculpture will be (1.75x)³ = 5.378125 x³ cm³.

To find the amount of clay required to make the larger sculpture, we need to find the ratio of the new volume to the original volume (5.378125 x³ cm³) / (x³ cm³) = 5.378125

This means that the artist needs to use 5.378125 times more clay than the original amount used to make the larger sculpture.

Therefore, to find the actual amount of clay needed, we multiply the original amount of clay by 5.378125: n cm³ x 5.378125 = 5.378125n cm³

So, the artist needs to use 3.65625 or 265.625% times more clay than the original sculpture to make the larger sculpture with each linear dimension 75% greater.

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The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  \(\log_3(y)=n\cdot\log_3(x)+\log_3(a)\)

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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Answer: x <4

Step-by-step explanation: Divide each term by 4 then simplify.

Answer:

x <4

Step by step explanation:

Answer:

B

Step-by-step explanation:

To go from B' to B , perform the inverse operation

That is the translation rule is (x - 4, y - 5 ) , then

B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B

System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is  ax² + bx + c = 0.

The quadratic equation formula for the solution of roots.

\(\rm (\alpha ,\beta ) = [ -b\)±\(\rm \sqrt{b^{2} - 4ac} /2ac\)]

The discriminant is the \(\rm \sqrt{b^{2} - 4ac}\) part of the quadratic equation

If D is greater than zero then the roots are real and distinct.

If D is equal to zero then the roots are real and equal.

If D is less than zero then the roots are imaginary and unequal.

y = x² + 7x + 4

From First option, System of equations

y = x² + x – 4

y = x – 5

So, x - 5 = x² + x – 4

x² + x – 4 - x + 5 = 0

x² + 1 = 0

discriminant = b²- 4×a×c

= 0²- 4×1×1

-4 < 0, therefore the equation has no real roots.

From Second option, System of equations

y = x² + 2x – 1

y = x – 5

So, x - 5 = x² + 2x – 1

x² + 2x - 1  - x + 5 = 0

x² + x + 4 = 0

discriminant = b²- 4×a×c

= 1²-4×1×4

-15 < 0   therefore, the equation has no real roots.

From Third option, System of equations

y = x² + 6x + 9

y = x – 5

So, x - 5 = x² + 6x + 9

x² + 6x + 9  - x + 5 = 0

x² + 5x + 4 = 0

discriminant = b²- 4×a×c

= 5²-4×1×4

9 > 0 therefore, the equation has two different real roots.

From Fourth option, System of equations

y = x² + 7x + 4

y = x – 5

So. x - 5 = x² + 7x + 4

x² + 7x + 4 - x + 5 = 0

x² + 6x + 9 = 0

discriminant = b²- 4×a×c

= 6²-4×1×9 = 0

0  therefore, the equation has one real root.

Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

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Answer:

D on edge

Step-by-step explanation:

To determine the number of ways the little league manager can form a 9-player batting order from a team of 12 children, we can use the concept of permutations.

Since the order of the players in the batting order matters, we need to calculate the number of permutations of selecting 9 players from a pool of 12.

The formula to calculate permutations is:

P(n, r) = n! / (n - r)!

where:

In this case, we want to find P(12, 9), which represents the number of permutations of selecting 9 players from a pool of 12.

P(12, 9) = 12! / (12 - 9)!

= 12! / 3!

Calculating the factorials:

12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

Simplifying the calculation:

P(12, 9) = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)

= 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4

= 199,584,000

Therefore, the little league manager can form a 9-player batting order in 199,584,000 different ways.

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Answer:

28miles/h

Step-by-step explanation:

divide 168 in 6

Answer:

28 mph

Step-by-step explanation:

Distance = speed × time

168 = speed × 6

speed = 28 miles per hour

y intercept is where x=0 or the initial value

which is 60 because we gots

y=60(1)

y=60

y intercept is at y=60

8 years is x=8

y=82.114

round

y=82.11

answer:

y intercept is y=60

after 8 years, has $82.11

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If he answers the next 3 questions incorrectly he will break even:

6 - 3(2) = 0.

Answer:

C. answering the last two questions correctly

Step-by-step explanation:

Did it on edge, hope this helps :) Brainliest?

|

|

V

Answer: 69.08 in

Step-by-step explanation:

The formula for circumference is:

2πr

If we substitute 3.14 for π, the formula is:

2(3.14)(11) = 69.08 in

Answer:

2386.0232

Step-by-step explanation:

Find the are, and then find the circumference.

Answer:

The circumference of a circle is 2*pi*r or pi*diameter. The circumference is 19pi

Rex's bike distance in kilometers is calculated to be 104.65 kilometers

Given that:

rex rides his bike for 13 miles each day for 5 days

1 mile = 1.61 kilometers

Rex's total ride in five days

13 miles * 5 days = 65miles

1 mile = 1.61 kilometers

65 miles = ? kilometers

cross multiply gives

? kilometers * 1 mile = 1.61 kilometers * 65 miles

? kilometers = 106.65 kilometers

Hence the unknown distance in kilometers represented as ? is solved to be 106.65 kilometers to the nearest hundredth

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Answer:

b 104.65

Step-by-step explanation:

i did the exam

Answer:

Use desomos i can drop a link for you that will help all your graphing problems

Step-by-step explanation:

Go to desmos . com  slash calculator!