What is the simplest form of the product 3 sqrt 4x^2.

Answer:

approximately 9

Step-by-step explanation:

6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9

Answer:

10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

The equation of the function is y = 10 * sin(x/2pi) + 5.

What is the sinusoidal function?

The period of a sinusoidal function is the time it takes for the sinusoidal function to complete one cycle of revolution.

The graph of a sinusoidal function can be represented by the equation:

y = A * sin(B(x - C)) + D

where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

From the information given, we know that the maximum point is at (0,5) and the minimum point is at (2pi,-5). We can use this information to find the values of A, B, C, and D.

The amplitude is the distance between the maximum and minimum points. In this case, it is 5 - (-5) = 10. So A = 10.

The period of the function is the distance between two consecutive maximum or minimum points. In this case, it is 2π.

So the frequency is 1/2π.

The horizontal shift is the amount by which the function is shifted along the x-axis. In this case, the maximum point is at x = 0, so the function is not shifted horizontally. So C = 0.

The vertical shift is the amount by which the function is shifted along the y-axis. In this case, the maximum point is at y = 5, so the function is shifted upward by 5. So D = 5.

So the equation of the function is:

y = 10 * sin(1/2pi (x - 0)) + 5

y = 10 * sin(x/2pi) + 5

where x is entered in radians.

Hence, the equation of the function is y = 10 * sin(x/2pi) + 5.

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Step-by-step explanation:

We know that

\(\boxed{\sf 1kg=1000g}\)

\( \rm \mapsto \: 6kg=6000g\)

\( \rm \mapsto \: number \: of \: bags = \frac{6000}{475} \\ \rm \mapsto \: 12.63 \\ \rm \mapsto \: 13bags(approx)\)

The number of empty bags filled by Memona is 13 approximately.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The weight of sack is 6 kg.

The rice filled in empty bags is 475 g.

Since 1000 g  = 1 kg, 475 g = 0.475 kg.

Now, the number of bags can be determined by dividing the weight of sack by that of each bag as,

Number of bags = 6/0.475

                         = 12.63\

Which can be taken as 13 approximately.

Hence, the number of bags Memona can completely fill with rice is 13 approximately.

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Given expression is:

Take 3 common from it:

So the factor are:

Answer:

0.75

Step-by-step explanation:

To measure the quality characteristics of an organization, one statistical technique that can be employed is Statistical Process Control (SPC).

SPC is a method used to monitor and control processes to ensure they are operating within predetermined limits. It involves the use of control charts to analyze process data and identify any variations that may occur.

SPC provides a visual representation of process performance over time, allowing organizations to identify and address any issues that may affect quality. Control charts, such as the X-bar and R charts or the X-bar and S charts, are commonly used in SPC to monitor the mean and variability of a process.

For example, let's say a manufacturing company wants to measure the quality characteristics of its production line. The company can collect data on key quality indicators, such as product dimensions or defects, at regular intervals. Using SPC, the company can create control charts to track these measurements over time. If the data points fall within the control limits, it indicates that the process is stable and in control. However, if there are any data points outside the control limits or any patterns or trends observed, it may indicate a problem that requires investigation and corrective action.

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The expression sum of i from 1 to n of sum of j from 1 to n of (i-j) squared can be rewritten as the sum of squares of all the differences (i-j), where i and j range from 1 to n.

The given expression, sum of i from 1 to n of sum of j from 1 to n of (i-j) squared, is equal to n squared times (n - 1) squared divided by 6.

To prove this, we can use the formula for the sum of squares of the first n natural numbers, which is n(n+1)(2n+1)/6. We can rewrite the given expression as the sum of the squares of all the differences (i-j), where i and j range from 1 to n.

Expanding the squares, we get

(i-j)^2 = i^2 - 2ij + j^2. Summing over all i and j,

we obtain the expression 2sum(i^2) - 2sum(ij) + 2sum(j^2).

Using the formulas for the sum of squares and the sum of products of the first n natural numbers, we can simplify this expression to

n(n+1)(2n+1)/3 - n(n+1)^2/2 + n(n+1)(2n+1)/3.

Simplifying further, we get n^2(n+1)^2/4, which is equal to n squared times (n - 1) squared divided by 6, as required.

In summary, the expression sum of i from 1 to n of sum of j from 1 to n of (i-j) squared can be rewritten as the sum of squares of all the differences (i-j), where i and j range from 1 to n. Using the formulas for the sum of squares and the sum of products of the first n natural numbers, we can simplify this expression to n squared times (n - 1) squared divided by 6.

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Answer:

I got ans 28 but not there in options I am sorry

Answer:

53

Step-by-step explanation:

x+x+2+72=180

2x=180-74

2x=106....divide both by 2

x=53

Answer:

56.3 cm

Step-by-step explanation:

\( \dfrac{\sin 28^\circ}{27} = \dfrac{\sin 102^\circ}{c} \)

\( c\sin 28^\circ = 27 \sin 102^\circ \)

\( c = \dfrac{27 \sin 102^\circ}{\sin 28^\circ} \)

\( c = 56.3 \)

Answer: 56.3 cm

Answer:

56.3

Step-by-step explanation:

so the og person can get brainlyst

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

Answer:

353.4 square feet

Step-by-step explanation:

radius = 15 feet

Area of circle = pie x r^2

(but this is a semi circle as its 180 degrees so half it)

(pie x 15^2) / 2 = 353.429

353.4

Answer:

1. = 20

2.= 20

3.= 225

4.= 800

5.= 2

Step-by-step explanation:

Just do the RATE% of the BASE and you will get the PERCENTAGE. :)

response indicating a linear relationship based on the given information. option (a) is the correct

A correct response to Joseph's teacher would be option (a) "It is linear because Joseph earns $14 for every 4 hours he works."

In option (a), it states that Joseph earns $14 for every 4 hours he works. This indicates a constant rate of earning, where the amount earned is directly proportional to the number of hours worked. In a linear relationship, the rate of change remains constant. In this case, for every 4 hours worked, Joseph earns $14 consistently, which satisfies the definition of linearity.

Options (b) and (d) suggest a nonlinear relationship. In option (b), it states that the amount Joseph earns doubles every 2 hours he works, indicating an exponential growth rather than a linear relationship. In option (d), it mentions that the number of hours Joseph works does not increase the same amount each time, indicating a varying rate of change, which is also indicative of a nonlinear relationship.

Option (c) mentions that the amount Joseph earns increases by a multiple of $7 for each hour he works, which aligns with a linear relationship. However, option (a) provides a more specific and accurate explanation by directly stating the constant rate of earning.

Therefore, option (a) is the correct response indicating a linear relationship based on the given information.

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The solution to the system of equations is: x = -1/6, y = 7/27, and z = -7/3.

A system of equations is a collection of two or more equations that are considered together because they share common variables. The solutions to a system of equations are the values of the variables that satisfy all the equations simultaneously. Solving a system of equations involves finding these common solutions.

Solving a system of equations involves finding the values of the variables that make all the equations in the system true simultaneously. The solution to a system can have different forms depending on the number of solutions and the nature of the equations. A system of equations can have no solution (inconsistent system), a unique solution (consistent and independent system), or infinitely many solutions (consistent and dependent system).

Given the system of equations,

4x - 2y = 25

x - 2y + z = 73

x + 4y - z = 3

The system can be written in matrix form as:

4 -2 ,0 ,25 -2, 1,  73, 4 -1 , 3

To solve the system of equations using matrices, the augmented matrix [A|B] should be formed from the coefficients of the variables, where A represents the matrix of coefficients and B is the constants matrix.

[A|B] = 4 -2 0 2 | 5 0 -2 1 7 3 4 -1 3 | 3

The matrix [A|B] is then transformed to a row echelon form, which involves using the elementary row operations to transform the rows.

These operations are; interchange of rows, multiplication of a row by a nonzero constant, and addition of a multiple of one row to another. After performing these operations, the matrix obtained is the row echelon form, which is used to solve the system of equations.

To find the row echelon form, we start by dividing the first row by 4 to get a leading coefficient of :

1.4 -2 0 1/2 | 5/4 0 -2 1 7 3 4 -1 3 | 3

Next, we subtract the first row from the second row multiplied by 5 to eliminate the x variable.

4 -2 0 1/2 | 5/4 0 8 21/4 35/4 3 4 -1 3 | 3

We also subtract the first row from the third row multiplied by 3 to eliminate the x variable.

4 -2 0 1/2 | 5/4 0 8 21/4 35/4 0 5 1/2 -3/2 | 3/2

Now we divide the second row by 8 to obtain the leading coefficient of:

1.4 -2 0 1/2 | 5/4 0 1 21/32 35/32 0 5 1/2 -3/2 | 3/2

We then subtract the second row from the third row multiplied by 5/2 to eliminate the y variable.

4 -2 0 1/2 | 5/4 0 1 21/32 35/32 0 0 9/16 -33/16 | -7/16

Finally, we divide the third row by 9/16 to get the leading coefficient of:

1.4 -2 0 1/2 | 5/4 0 1 21/32 35/32 0 0 1 -11/3 | -7/27

Then we substitute the value of z into the second equation to get y.

5x - 2y + 7/27 = 0 => y = (5x + 7/27)/2

Substituting the values of y and z into the first equation gives the value of x.

4x - 2((5x + 7/27)/2) = 2/27x = -1/6

Therefore the solution to the system of equations is: x = -1/6, y = 7/27, and z = -7/3.

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

Answer:

D. (3, 4, 5)

Step-by-step explanation:

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

The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.

First, let's distribute the negative sign:

2x² - 11 - (7x - 9)

Now, distribute the negative sign to each term within the parentheses:

2x² - 11 - 7x + 9

Next, let's combine like terms:

2x² - 7x - 2

Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.

This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.

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Answer:

80 x by the power of 5 and y is by the power of 3

Answer:

80x⁵y³

Step-by-step explanation:

5x³y(-4xy)²

=5x³y*16x²y²

=80x⁵y³.

The average change in distance for each increase of 1 in the iron number is of -5 yards, representing the slope of the linear function.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the graph given at the end of the answer, when x increases by 1, y decays by 5, hence the slope m is given as follows:

m = -5.

The graph is given by the image presented at the end of the answer.

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Answer:

yep

Step-by-step explanation:

when you divide a fraction u can use the KCF method which is basically:

(keep) the first fraction the same

(change) the division sign in the middle to a multiplication sign

(flip) the second fraction

basically because you have to flip the 1/4 when you divide it, it'll be the same as a 4/1 anyways

The exact trigonometric ratios for the angle x is second quadrant.

Given Radian equals to θ = 27π / 4, we need to find all the Trigonometric ratios for the same -

Lets calculate the value of θ first.

We know π equals 180 degree angle and 2π equals 360 degree, hence with each 2π the radian moves back to zero degree. Which means

θ = 27π / 4 can be reduced to θ = 3π / 4

Hence θ = 135 degree which can be represented as below -

As This lies in second quadrant, hence  on x-axis (Value of base , needs to be taken as -1)

sin θ = 1/√2                            cosec θ = √2

cos θ = -1/√2                          sec θ = - √2

tan θ = -1                               cot θ = - 1

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

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For Function 3(5/4)³ , 3 is inital value , 5/4 is base with (-∞, ∞) as Domain

An exponential function is one with the mathematical formula f (x) = ax, where "x" is a variable and "a" is a constant that serves as the function's base and must be greater than 0.

An exponential function f(x) = abˣ,

According to the question,

The given exponential function : f(x) =3(5/4)³

Here, 3 is the Inital value

The base of the function is 5/4

As the function is real, Domain = (-∞, ∞)

The function given only has one value. That is the entirety of its range: [3(5/4)^3, 3(5/4)^3]

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Answer:

hi

Step-by-step explanation:

The functions f(x) = 3x - 7 and g(x) = -1/3x - 7/3 are not inverse functions of each other.

In order to determine if two functions are inverses of each other, we need to check if the composition of the functions results in the identity function.

To find the composition of f(g(x)), we substitute g(x) into f(x):

f(g(x)) = f(-1/3x - 7/3) = 3(-1/3x - 7/3) - 7 = -x - 7 + 7 = -x

Similarly, to find the composition of g(f(x)), we substitute f(x) into g(x):

g(f(x)) = g(3x - 7) = -1/3(3x - 7) - 7/3 = -x + 7/3 - 7/3 = -x

Both f(g(x)) and g(f(x)) result in -x, which is not equal to the identity function x. Therefore, f(x) = 3x - 7 and g(x) = -1/3x - 7/3 are not inverse functions of each other.

In order for two functions to be inverses, the composition of one function with the other should result in the identity function. Since that is not the case here, f(x) and g(x) are not inverses of each other.

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Answer: c

Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.

Substitute 0 for x in the equation to determine the y-intercept.

So y-intercept of function f(x) is more than y-intercept of g(x).

Substitute 1 for x in the equation to obtain the value of function at x = 1.

The function f(x) and g(x) have different vlue at x = 1.

Substitute 3 for x in the function to obtain f(3).

So g(x) > f(x)

The quadratic function is defined for all values of x and exponential function is also defined for all values of x. So domain of both function f(x) and g(x) is all real numbers.

So correct option is option C.

The general expression for the parabola is

Where h and k represent the coordinates of its vertex.

h is the x-coordinate

k is the y-coordinate

If the vertex is (0,-14), then h=0 and k=-14, so the formula for the paravola will be:

Now using the coordinates of the point (5,6) to replace in the formula, you can clear the value of "a"

y= 6

x= 5

a=0.80

The formula for the parabola is

Answer:500

Step-by-step explanation:

The value found using Δy = f'(x)Δx is approximately 0.04481116.

What is the linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

To find a decimal approximation of the expression √124 using the formula Δy = f'(x)Δx, we need to choose an appropriate function f(x) and a small increment Δx. We can select f(x) = √x and Δx = 1.

Using this, we can calculate the approximation as follows:

Δy = f'(x)Δx = (√(x + Δx) - √x) / Δx

Substituting x = 124 and Δx = 1:

Δy = (√(124 + 1) - √124) / 1

Calculating the values:

Δy = (√125 - √124) / 1

Δy ≈ (11.18033989 - 11.13552873) / 1

Δy ≈ 0.04481116

Therefore, the value found using Δy = f'(x)Δx is approximately 0.04481116.

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