What is the first derivative of q(x) = In 7x2+3x+7 5 x 6 tan x ? Provide your answer

Answer:

It's in standard form

Step-by-step explanation:

The smallest number bags required to cover the pitch is approximately 27 bags

Data given;

To solve this question, we have to find the area of the pitch.

\(A = \pi r^2\\A = \pi (5)^2\\A = 78.5ft^2\)

The area of the pitch is 78.5ft^2.

To determine the smallest number of bags required to cover the pitch, we divide the area by 3

\(number of bags = \frac{78.5}{3}\\n =26.16\)

The smallest numbers of bags required to cover the pitch is approximately 27 bags.

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Answer:

5: 4

7: -8

6: 15

8: 7

I hope this helps you <3

Step-by-step explanation:

Answer:

it's 20m² I think or it's 28m²

We can arrange the group in 120960 different ways.

Given,

Number of adults = 7

Number of children = 4

We have to find the number of ways they can stand when no two children are allowed to stand together;

Here,

Arrange 7 adults in a row of 7 ; 7

Number of arrangements = 7! = 5040

Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.

Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements

Add the two groupings together =  5040 × 24 = 120960

Therefore,

There is 120960 ways to arrange the standing position of the group.

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Answer:

1.7881^-6

Step-by-step explanation:

put it in a calculator

The LU decomposition of the given matrix is:

L = 2 0 0 0.5

-1 1 0 0

0 0 1 0

1 0 0 1

U = 2 -2 1

0 1.5 2

0 0 -4

0 0 0

LU decomposition, also known as LU factorization, breaks down a square matrix into a lower triangular matrix (L) and an upper triangular matrix (U). The LU decomposition of the matrix 2 -2 1 4 -2 3 is given by:

L = 2 0 0 0.5 [L is a lower triangular matrix with ones on the diagonal]

-1 1 0 0

0 0 1 0

1 0 0 1

U = 2 -2 1 [U is an upper triangular matrix]

0 1.5 2

0 0 -4

0 0 0

The matrix L represents the elimination steps used to transform the original matrix into row-echelon form, while U represents the resulting upper triangular matrix. The LU decomposition is useful in solving systems of linear equations and performing matrix operations more efficiently.

In the Gaussian elimination without row interchange process, we start with the augmented matrix [A|B] and apply row operations to eliminate variables. The given augmented matrix:

1 2 -1 2 | 6

3 7 1 4 | 9

can be reduced to different matrices based on the row operations applied. The possible resulting matrices are:

1 2 -1 2 | 0

0 0 0 0 | 1

This matrix is not valid as the rightmost column cannot be all zeros.

1 2 -1 2 | 0

0 0 0 0 | 0

This matrix is also not valid as it implies that the right side of the equation is inconsistent.

1 2 -1 2 | 0

0 0 2 4 | 0

This matrix is valid as it represents a consistent system of equations. The corresponding solution is x = 0, y = 0, z = 0.

1 2 -1 2 | 0

0 0 2 4 | 1

This matrix is not valid as it implies an inconsistent system of equations.

Therefore, the matrix that can be the result of Gaussian elimination without row interchange is:

1 2 -1 2 | 0

0 0 2 4 | 0

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The packages of paintbrushes, p, that Mr. Grant needs to buy in order to have at least 55 paintbrushes will be at least 5 packages.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

In this case, Grant has 25 paintbrushes already and will buy more paintbrushes in packages of 6.

The inequality to illustrate this will be:

25 + 6p ≥ 55

where P = packages of paintbrushes

Collect the like terms

6p ≥ 55 - 25

6p ≥ 30.

Divide

p ≥ 30 / 6

p ≥ 5

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Answer:

Answer: a(n) = 27*(2/3)^(n - 1).

Step-by-step explanation:

.........................

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

The missing statement in step 4 is angle AEC is congruent to angle BDC. This is because the two angles are both right angles, and all right angles are congruent.

Here is the complete proof with the missing statement filled in:

Given: AEEC; BDDC

Prove: △AEC ~ △BDC

Statement Reason

AEEC;BDDC 1. given

∠AEC is a rt. ∠; ∠BDC is a rt. ∠ 2. definition of perpendicular

∠AEC ≅ ∠BDC 3. all right angles are congruent

∠AEC ≅ ∠BDC (reflexive property)

△AEC ~ △BDC 5. AA similarity theorem

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Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

In a fast-food management program, there are 15 qualified applicants for 8 trainee positions. We are supposed to calculate the number of different groups of trainees that can be selected. For this, we can use the formula for combination. In mathematics, a combination is a way of selecting items from a collection, such that the order of selection doesn't matter.

It is represented as n Cr, where n is the total number of items and r is the number of items to be selected. In this problem, we have to select 8 trainees from a total of 15 qualified applicants. Hence, the solution is as follows: Now, we can use the formula for combination, which is as follows:

n Cr = n!/(r!(n-r)!)  where n is the total number of items, and r is the number of items to be selected. In this case, we have 15 items to choose from, and we want to select 8 of them. Hence, we get:  15C8 = 15!/(8!(15-8)!) 15C8 = (15 × 14 × 13 × 12 × 11 × 10 × 9 × 8!)/(8! × 7 × 6 × 5 × 4 × 3 × 2 × 1)15C8 = 6435  Therefore, there are 6,435 different groups of trainees that can be selected from the 15 qualified applicants for 8 trainee positions in a fast-food management program.

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The dimensions of the scale model of your room would be 3/4 inch represents 1 foot. To determine the dimensions of the scale model, we need to apply the scale ratio of 3/4 inch represents 1 foot.

Let's assume the length and width of your actual room are L feet and W feet, respectively. To find the dimensions of the scale model, we can multiply the actual dimensions by the scale ratio.

The length of the scale model would be L * (3/4) inch, and the width would be W * (3/4) inch.

For example, if your actual room is 12 feet long and 10 feet wide, the dimensions of the scale model would be:

Length of the scale model = 12 feet * (3/4) inch = 9 inches

Width of the scale model = 10 feet * (3/4) inch = 7.5 inches

Therefore, the scale model would have a length of 9 inches and a width of 7.5 inches, based on the given scale ratio.

It's important to note that when creating a scale model, maintaining the proportionality between the actual dimensions and the model dimensions is crucial to accurately represent the physical space in a smaller scale.

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Answer:

800 is the answerrrr....

its function, there your answer

Answer:

Step-by-step explanation:

There must be only one arrow from each member of the set X

The sample size is 289.

Zα/2 = \(Z_{0.025}\)

= 1.96  

Sample size = n

n = [Zα/2* σ / E] 2

n = [1.96 * 26 / 3 ]2

n = 288.54

n = 289.

In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.

An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.

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Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

Answer:

Hello,

Step-by-step explanation:

Le théorème est faux

since a=9 and b=16 then

\(\sqrt{9} +\sqrt{16} =3*4=7 \\\sqrt{9+16} =\sqrt{25} =5\\\)

The value of x is found as 14, by using the law of sines.

To find the value of x, use the law of sines as the given triangle is a right-angled triangle.

The given values are,

∠E=30º

GF=7

GE=x

The law of sines states that the sine of an angle is equal to the ratio of lengths of the opposite side to the hypotenuse side.

Applying the law of sines,

\(sin30^{o}= \frac{GF}{GE}\\\\\frac{1}{2} =\frac{7}{x}\\\)

By cross-multiplication, the equation becomes

x=7*2

x=14 units

The value of x is obtained as 14, so there is no need to round it off to the nearest tenth as it is already a whole number.

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The value of x in function cos(3pi/2+2x/3)=1/2 is  x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

We are given;

6sinx=5, 6cosx=7, sin2x=0, sin(x+pi/3)+1=0, cos(2x/3-pi/4)=\(\sqrt{2} /2\), cos2x-1=0, 2sin3x=-1, cos(3pi/2+2x/3)=1/2

Now,

1. 6sinx=5

sinx=5/6

x=0.98511078

2. sin2x=0

x=n*pi/2

3. sin(x+pi/3)+1=0

x-intercept= (pi/6+2n*pi)

y-intercept= (0, \(\sqrt{3}\)/2 -1)

4. cos(2x/3-pi/4)=\(\sqrt{2}/2\)

x= (pi/4+n*pi, pi+n*pi)

6. cos2x-1=0

x=n*pi

7. 2sin3x=-1

x= 7pi/18 + 2pi*n/3, 11pi/18+2pi*n/3

8. cos(3pi/2+2x/3)=1/2

x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n

For any value of integer n

Therefore, the answer of trigonometric function will be x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n.

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Answer:

a = -1 and 6

Step-by-step explanation:

\( \frac{a(a - 5)}{6} = 1\)

\(a(a - 5) = 6\)

\( {a}^{2} - 5a = 6\)

\( {a}^{2} - 5a - 6 = 0\)

\((a + 1)( a- 6)\)

a = -1 and a = 6

I received an 'A' in Statistics last semester. The grade is ordinal, which means it's a ranking (A is higher than B).

The grades A, B, C, D, and F are examples of ordinal data. This is because they can be put into a specific order, from highest to lowest: A, B, C, D, F.

Nominal data, on the other hand, cannot be put into a specific order and is used to categorize or label data. An example of nominal data would be the names of different fruits, such as apples, oranges, and bananas.

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

The system of equations that can be used to determine the cost of a crate of lettuce, x, and the cost of a crate of cabbage, y is 4x + 3y = 33.95 and 3x + 4y = 38.48

Let x be the cost of a crate of lettuce and y be the cost of a crate of cabbage.

From the first purchase:

4x + 3y = 33.95

From the second purchase:

3x + 4y = 38.48

So the system of equations is:

4x + 3y = 33.95

3x + 4y = 38.48

This system of equations can be used to determine the cost of a crate of lettuce (x) and the cost of a crate of cabbage (y). By solving this system of equations, we can find the values of x and y that satisfy both equations and represent the cost of each crate.

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