Frets are small metal bars positioned across the neck of a guitar so that the guitar can produce notes of a


specific scale. To find the distance a fret should be placed from the bridge, multiply the


string length by 2 " where nis the number of notes higher than the string 's root note.


Determine where to place a fret to produce an A note on a C string (5 notes higher) that is 70 cm long. Round


your answer to the nearest hundredth.


a. 52. 44 cm


C. 58. 33 cm


b. 93. 44 cm


d. 74. 92 cm

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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The value of x in quadrilateral cdef inscribed in circle is (b) 44.

To find the value of x, we can use the property that opposite angles in an inscribed quadrilateral are supplementary (their measures add up to 180°).

Given that quadrilateral CDEF is inscribed in circle A, we have:

m∠CFE + m∠CDE = 180°

Substituting the given angle measures:

(2x + 6)° + (2x - 2)° = 180°

Combining like terms:

4x + 4 = 180

Subtracting 4 from both sides:

4x = 176

Dividing both sides by 4:

x = 44

Therefore, the value of x is 44.

The correct answer is:

b. 44

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-1 and -11 are two integers that may multiply to produce 11 and also add to make -12.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let x and y be the number.

x+y=-12

xy=11

y=11/x

x+11/x=-12

x²+12x+11=0

x²+11x+x+11=0

x(x+11)+1(x+11)=0

x=-11,-1

The numbers that can multiply to make 11, and also add together to make -12 are -1 and -11.

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Answer:

the median will be 5

the mode will be 1300

the mean is I don't know.

Step-by-step explanation:

I don't know exactly but I am trying

Answer:

$2,000 and $3,000

Step-by-step explanation:

The computation is shown below:

Given that

The Number of shares is 100

The Increase from $20 to $30

If the per share is $20, so the earning of the shareholder is

= 100 shares × $20

= $2,000

And ,if the per share is $30, so the earnings of the shareholder is

= 100 shares × $30

= $3,000

Torque is the cross product of the distance from the pivot point to the force, denoted by r, and the force applied, denoted by F. τ= r×F, where r is the moment arm, and F is the force. The direction of torque is either clockwise or counterclockwise depending on whether the force causes rotation that is clockwise.

Also, it is denoted by a positive sign for a counterclockwise torque and a negative sign for a clockwise torque.Let's assume that the vector F, acting on a rigid body about pivot point P, creates a moment, i.e., torque. The torque about P is determined by the product of the force magnitude, F, and the perpendicular distance, rm, from point P to the line of action of F.

 That is, τ=rm ×F. If F and rm are known, we may substitute them into the equation to obtain the torque in the direction of rotation.τ = rm × Fsin(θ) where θ is the angle between the two vectors F and rm.Therefore, the torque about P due to F is expressed in terms of rm and F or in terms of r, θ, and F as τ=rm ×Fsin(θ) or τ = rFsin(θ), respectively.

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Answer: (-7,4]

Step-by-step explanation: okay so the domain is the word they use to chart everything along the x-axis, where the range is to chart everything on the y-axis. So since we’re looking for domain, I started looking from left to right for the first point which is at -7, and since the circle is open this means that you want to put a ( on the outside of it instead of a [. So then I looked along the line to the end of it, and saw that the furthest point to the right on the x-axis was at 4. With this one though we want to put a ] on it because the circle is closed. I hope this is helpful!

Let x represent the missing number, and you'll now have;

Therefore, the missing number is 28

The mean is 41.37
The Median is 36

The first step is to arrange the number orderly

31, 32,34,35,37,38,40,84

The mean is

= 31 + 32+34+35+38+37+40+84/8

= 331/8

= 41.37

The median

= 35+37/2

= 72/2

= 36

The mode
= N/A

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Answer:

5

Step-by-step explanation:

multiply

8x - 12 = 28

add 12 to both sides

8x = 40

divide

5

Answer:

Start with what we know:

4(2x-3) = 28

Now we do rainbow property aka distributive property:

4*2x=8x

4*-3=-12

now we have:

8x - 12 = 28

we have to get 8x alone:

we will add 12 to both sides:

8x= 40

now we have to get x alone:

8x/8=x

40/8=5

now we put that into a equation:

x=5

Answer:

Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,

Answer:

\(150( {1.01}^{12} ) - 150 = 19.02\)

The account will earn $19.02 interest in 12 months.

Answer:

Step-by-step explanation:

To determine the future value of the savings account after 12 months, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the account

P = the principal or initial value of the account (in this case, $150)

r = the annual interest rate (1% per month or 0.01)

n = the number of times the interest is compounded per year (12)

t = the time period in years (1)

Plugging in these values, we get:

A = 150(1 + 0.01/12)^(12*1)

A = 150(1.0075)^12

A = $162.89

Therefore, the savings account will be worth approximately $162.89 after 12 months with 1% monthly interest. It is important to note that this is only an estimate, as the actual amount could vary depending on any additional deposits or withdrawals made during the year, and the interest rate could also change.

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Answer:

you can check your solution for x by plugging it in the equation

Step-by-step explanation:

for example, if x = 4 and the equation is x + 5 = 9, plug in for x to get 4+5=9. That’s correct, so your solution for x is correct.

I hope this helped and please mark me as brainliest!

Answer:

We check a solution to an equation by replacing the variable in the equation with the value of the solution. A solution should result in a true statement when simplified.

Step-by-step explanation:

Substitute the number for the variable in the equation.

Simplify the expressions on both sides of the equation.

Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Answer:

6.435

Step-by-step explanation:

To convert from grams to kilograms, you divide the grams by 1000.

So 6435 divided by 1000 is 6.435

Answer:

500$ is the answer....

Answer:

$60 and $560

Step-by-step explanation:

Prt= Interest

(500)(0.04)(3)= $60

A = P(1 + rt)

A = 500 (1 + 0.04(3))

A= $560

The number of polynomials that can be formed with -2 and 5 as zeroes are more than 1.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.x² -3x - 7 is an illustration of a polynomial with a single indeterminate x.

Given that the zeros of a polynomial are -2 and 5.

The polynomial that has a and b as zeors is p(x) = k[x² + (a+b)x + ab].

where k is a real number.

The polynomial that has -2 and 5 zeros is

p(x) = k[x² + (-2 + 5)x + (-2)×5]

p(x) = k[x² + 3x - 10]

Where k is a real number.

The number of real numbers is infinity.

The number of polynomials is infinity.

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a. The equations represent the motion of an object undergoing constant acceleration in one dimension.

a. The equations represent motion with constant acceleration in one dimension. b. When the acceleration is zero, the equations represent motion with constant velocity or uniform motion.

1. Vxf = Vx₁ + axt: This equation relates the final velocity (Vxf) to the initial velocity (Vx₁), acceleration (a), and time (t). It indicates that the final velocity of an object is equal to the initial velocity plus the product of acceleration and time.

2. xf = xi + Vx₁t + 1/2 axt²: This equation gives the displacement (xf) of the object at time t. It relates the initial position (xi), initial velocity (Vx₁), time (t), and acceleration (a). It includes both the linear term (Vx₁t) and the quadratic term (1/2 axt²), which arises from the constant acceleration.

3. v2xf = v2xt + 2ax (xf - xi): This equation relates the squares of the final velocity (v2xf) and initial velocity (v2xt) to the acceleration (a), displacement (xf - xi), and the sign of the acceleration. It can be derived from the equations of motion and is useful for calculating the final velocity when the other variables are known.

When the acceleration (a) is zero:

If the acceleration is zero, then the equations simplify to:

- Vxf = Vx₁: The final velocity is equal to the initial velocity.

- xf = xi + Vx₁t: The displacement is determined by the initial position, initial velocity, and time, following constant velocity motion.

- v2xf = v2xt: The squares of the final velocity and initial velocity are equal. This equation also indicates constant velocity motion.

In summary, when the acceleration is zero, the equations represent motion with constant velocity or uniform motion.

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Answer:

184

Step-by-step explanation:

6m + 10p

6(8) + 10(14) =

48 + 140 = 184

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The following statements are true:

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of \(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

What is matrix?

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used in many areas of mathematics, including linear algebra, calculus, and statistics.

The first statement is false. A least-squares solution of Ax = b is a vector x that minimizes the Euclidean norm ||b - Ax||, not necessarily making it smaller than any other norm.

The second statement is true. If b is in the column space of A, then Ax = b has at least one solution, and any solution is also a least-squares solution.

The third statement is true. Any solution of \(A^TAX = A^Tb\) can be written as \(x = (A^TA)^{-1}A^Tb\), and it is a least-squares solution of Ax = b because \((A^TA)^{-1}A^T\) is the left-inverse of A (if A has full column rank), and \((A^TA)^{-1}A^Tb\) is the projection of b onto the column space of A.

The fourth statement is false. A solution of \(A^TAX = A^Tb\) is not necessarily a solution of Ax = b, so it cannot be a least-squares solution of Ax = b.

The fifth statement is false. A least-squares solution of Ax = b is a vector x that satisfies the normal equation \(A^TA x = A^Tb\), not necessarily Ax = b. Moreover, x is the orthogonal projection of b onto Col A only if A has full column rank, in which case the projection matrix is \(A(A^TA)^{-1}A^T.\)

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Complete question : let a be an m x n matrix and b be a vector in rm. which of the following is/are true? (select all that apply)

A least-squares solution of Ax = b is a vector such that ||b - Ax|| ≤ b - Ax|| for all x in Rº.

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of\(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where is the orthogonal projection of b onto Col A.

From given ratio of boys and girls, the total number of students at the school is 1240.

What exactly is a ratio?

A ratio is a comparison of two quantities or values by division. It is commonly used to express the relationship between two numbers, such as the ratio of the number of boys to the number of girls in a classroom.

The ratio of two numbers a and b can be expressed as a/b or as the fraction a:b. For example, if there are 20 boys and 30 girls in a classroom, the ratio of boys to girls is 20/30, which can be simplified to 2/3 or written as the fraction 2:3.

Now,

Let's represent the number of boys as 11x and the number of girls as 9x, where x is a common factor.

From the given information, we know that:

11x = 9x + 124

Simplifying

11x - 9x = 124

2x = 124

x = 62

Now,

Number of boys = 11x = 11(62) = 682

Number of girls = 9x = 9(62) = 558

Therefore, the total number of students at the school is:

Total number of students = Number of boys + Number of girls = 682 + 558 = 1240

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The faculty member would report the measure of center, such as the mean or median, that is higher for athletic coaches' salaries than for members of the teaching faculty to make the coach's salary seem much larger.

To portray athletic coaches as overpaid, the faculty member needs to choose a summary statistic, such as the mean or median, that will make their salaries appear much larger than those of the teaching faculty.

Since coaches' salaries are typically higher than those of faculty members, using the mean or median can help exaggerate the difference. The mean is affected by outliers, so if there are a few highly paid coaches, the mean salary will be much higher than the average salary for all coaches. Similarly, the median may be higher for coaches if there are a few highly paid coaches, even if most coaches earn less than faculty members.

Therefore, reporting the measure of center that is higher for coaches, such as the mean or median, can make their salaries seem much larger than those of faculty members.

However, this approach can be misleading because it does not consider factors such as the number of hours worked, the level of expertise required, or the revenue generated by the sports program.

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Answer:

in mathematics, the ratio of the circumference of a circle to its diameter. The symbol for pi is π. The ratio is the same for all circles and is approximately 3.1416.

Step-by-step explanation:

and its tasty

Pie is irrational, therefore cannot be expressed as a exact number. Pie is AROUND 3.14159

The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

Save and Exit

Next

Submit

Mark this and retum

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{12}{f}\) = \(\frac{1}{2}\) ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{e}{f}\) = \(\frac{e}{24}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2e = 24\(\sqrt{3}\) ( divide both sides by 2 )

e = 12\(\sqrt{3}\)

Answer:

F=24 and e=12\(\sqrt{3}\)

Step-by-step explanation:

Answer: Ask three before me!

Step-by-step explanation: Ask three before me!

The mean GPA is greater than 2.75.

To find the GPA:

Therefore, the mean GPA is greater than 2.75.

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The distributive property is applied to multiply the expression \(\rm -c^2 (3c - 2)\). Then the result is \(\rm -3c^3 + 2c^2\).

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is \(\rm -c^2 (3c - 2)\).

On multiply, we have

\(\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2\)

The distributive property is applied to multiply the expression \(\rm -c^2 (3c - 2)\). Then the result is \(\rm -3c^3 + 2c^2\).

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Answer:

The distributive property is applied to multiply the expression . Then the result is .

What is distributive property?

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is .

On multiply, we have

The distributive property is applied to multiply the expression . Then the result is .

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Step-by-step explanation: