In an orchestra, the principal player is chosen among all the other musicians that play a certain instrument to sit in the first chair and lead his section. In math, what do you suppose a principal root is?

Answers

Answer 1

In mathematics, the term "principal root" is not commonly used. However, there is a concept related to roots called the "principal square root."

The principal square root of a non-negative number refers to the positive square root of that number. For example, the principal square root of 25 is 5, because 5 squared (5 * 5) equals 25. Similarly, the principal square root of 16 is 4, because 4 squared (4 * 4) equals 16. The principal square root is chosen to be positive, while the negative square root is considered the "other" square root.

It is important to note that the principal square root applies to non-negative numbers. For negative numbers or complex numbers, the concept of the principal root is not as straightforward and may involve more advanced mathematical concepts. In summary, while the term "principal root" is not commonly used, the concept of the "principal square root" relates to the positive square root of a non-negative number.

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Related Questions

The frequency tables shows the results of tossing a ball 24 times into the four colored sections on a carnival game . based on the data table , how many will the ball most likely land in the yellow section

Answers

Answer:

Step-by-step explanation:

Answer is 65 simple

Number graph that ranges from negative two to ten on the x and y axes. A line passes through (zero, zero) and (three, one). A second line passes through (zero, seven) and (three, one).

What is the solution to the system of equations represented by these two lines?

Responses

(1, 3)


(0, 6)


(3, 0)


(3, 1)

Answers

The points (3,0) and (3,1) are located on the first line. The point (3,0) is three units to the right of the origin on the x-axis, while the point (3,1) is three units to the right and one unit up from the origin.

To create a number graph that ranges from negative two to ten on both the x and y axes, you would need to draw a grid with 13 horizontal lines and 13 vertical lines, spaced one unit apart. The point (0,0) is located at the center of the graph.

A line passes through the points (0,0) and (3,1). To graph this line, start at (0,0) and move three units to the right and one unit up to reach (3,1). Draw a straight line connecting these two points.

A second line passes through the points (0,7) and (3,1). To graph this line, start at (0,7) and move three units to the right and six units down to reach (3,1). Draw a straight line connecting these two points.

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A store sells 4 computers for every 9 printers. There store sells 36 computers on Tuesday, how many printers did it sell? The store sells 44 computers on Wednesday, how many printers did it sell? Create a ratio table

Answers

Answer:

Tuesday=81

Step-by-step explanation:

since 4 x 9 = 36, you have to multiply 9 x 9, which equals 81.

for Wednesday, 4 x 11 = 44, so you have to multiply 9 x 11, which = 99.

for the chart, do something like the photo i am showing for Tuesday (i already made it)

A store sells 4 computers for every 9 printers. There store sells 36 computers on Tuesday, how many printers

Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-

Which of the following could be an example of a function with a domain(-0,00) and a range (-,4)? Check

Answers

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3 |A| =

|Ax| =

|Ay| =

Answers

The determinants for the given linear system are |A| = -19, |Ax| = -74, and |Ay| = 57.

What is linear system?

A linear system is a collection of one or more linear equations involving one or more variables.

According to question:

The given linear system's determinants are:

The coefficient matrix determinant, denoted by |A|

The x variable matrix determinant, denoted by |Ax|

The y variable matrix determinant, denoted by |Ay|

To find these determinants, we first need to write the coefficient matrix and the x and y variable matrices.

The coefficient matrix is the matrix of the coefficients of the variables

| 5 2 |

|-3 -5 |

The x variable matrix is obtained by replacing the x column in the coefficient matrix with the constants on the right-hand side of the equations:

| 14 2 |

| 3 -5 |

The y variable matrix is obtained by replacing the y column in the coefficient matrix with the constants:

| 5 14 |

|-3 3 |

Now we can calculate the determinants:

|A| = determinant of the coefficient matrix = (5)(-5) - (-3)(2) = -19

|Ax| = determinant of the x variable matrix = (14)(-5) - (2)(3) = -74

|Ay| = determinant of the y variable matrix = (5)(3) - (14)(-3) = 57

Therefore, the determinants for the given linear system are |A| = -19, |Ax| = -74, and |Ay| = 57.

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HEEEEEEEEEEEEEEEEEEEELP

HEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

5:30 PM

Step-by-step explanation:

35 mp ½ hour = 70 mph

245 miles ÷ 70 mph = 3½ hours

2PM + 3½ hours = 5:30 PM

the director of research and development is testing a new medicine. she wants to know if there is evidence at the 0.02 0.02 level that the medicine relieves pain in more than 390 390 seconds. for a sample of 75 75 patients, the mean time in which the medicine relieved pain was 398 398 seconds. assume the population variance is known to be 576 576 . find the p-value of the test statistic. round your answer to four decimal places.

Answers

The p-value of the test statistic is 0.5520

The director of research and development is testing the medicine to see if there is evidence that it relieves pain in more than 390 seconds. To do this, they took a sample of 75 patients, and found that the mean time for the medicine to relieve pain was 398 seconds, with a population variance of 576. The test statistic in this case is the p-value, which can be found using the formula for the Z-score, which is:
Z = (398 - 390) / (√576/75)

Plugging in the numbers, we get:

Z = (398 - 390) / (24/75) = 0.167

Using a Z-table, the p-value of the test statistic is 0.5520. Thus, the p-value of the test statistic is 0.5520, rounded to four decimal places.

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please help me solve this​

please help me solve this

Answers

Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

What does angle B equal?

What does angle B equal?

Answers

NO. IM SORRY. I DID NOT MEANT THAT. DONT TRUST MY ANSWER.

Delete my answer due to my stupidity

I need the answers please

I need the answers please

Answers

Answer:

-3,4,-4

Step-by-step explanation:

Answer:

(-3,7)

Step-by-step explanation:

Please help me this is my final!!!

Please help me this is my final!!!

Answers

Answer:

it is a. 43 sides

Step-by-step explanation:

(n-2)*180=number of degrees in a polygon

Answer:

43

Step-by-step explanation:

I need help finding the midpoint ​

I need help finding the midpoint

Answers

0,3 or 3,0 is the answer

Answer:

(0,3)

Step-by-step explanation:

This is the middle of the graph.

Have a great day!!

Jim baked 31 cookies. His family ate m of them. Using m, write an expression for the number of cookies that remained.

Answers

Answer:

31-m

Step-by-step explanation:

Hope this helps!

Answer:

31 - m

Step-by-step explanation:

Expressions don't have the equal sign, equations do.

I WILL GIVE BRAINLY PLSS


5(2x + 8) = 10
A. x ≤ 12
B. x ≥ 12
C. x ≥ 14.96
D. x = -3


PLSS SHOW YOUR WORK PLSS

Answers

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(2x+8)=10

(5)(2x)+(5)(8)=10(Distribute)

10x+40=10

Step 2: Subtract 40 from both sides.

10x+40−40=10−40

10x=−30

Step 3: Divide both sides by 10.

10x/10= −30/10

x=−3

Hope this helped :)

Answer:

D. x=-3

Step-by-step explanation:

First of all, it's an equation (=), not an inequality (>). D is the only option that shows the result of an equation :)

Anyway, here you go:

Simplify the equation using PEMDAS. Expand using the distributive property:

\(5(2x)+5(8)=10\\\\10x+40=10\)

Use inverse operations to isolate the variable. Subtract 40 from both sides, canceling out the positive 40 on the left:

\(10x+40-40=10-40\\\\10x=-30\)

Isolate the variable using inverse operations. Divide both sides by 10, canceling the 10 out on the left:

\(\frac{10x}{10} =\frac{-30}{10} \\\\x=-3\)

The value of x is -3. The correct answer is (D).

:Done

Evaluate (2-3)^4
(4) - 9 = 3.
O -7
O-2
O 1
O 2

Answers

I think it’s -2 correct me if I’m wrong

PLEASE HELP ME ASAP?!?!:(
What is the midpoint of the segment below?

PLEASE HELP ME ASAP?!?!:(What is the midpoint of the segment below?

Answers

A. (0.5, -0.5) is the midpoint

Question 1-5

Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 50m by 50m square. Find the

Area enclosed by the figure. Use 3. 14

50

50 m

square meters

Answers

The area enclosed by the figure is 6425 square meters.

The area enclosed by the figure is made up of a square of 50m x 50m = 2500 m^2 There are four semicircles attached to each side of the square.

Each semicircle has a radius of 25m, so the area of each semicircle is,

(1/2) * pi * 25^2

= (1/2) * 3.14 * 625 m^2.

The total area of the four semicircles is,

4 * (1/2) * 3.14 * 625 m^2

= 2 * 3.14 * 625 m^2

= 3925 m^2

To find the total area enclosed by the figure, add the area of the square to the area of the semicircles:

2500 m^2 + 2 * 3.14 * 625 m^2

= 2500 m^2 + 3950 m^2

= 6425 m^2.

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Round your answer to the nearest hundredth.

Round your answer to the nearest hundredth.

Answers

Given b=4 and ∠β=20°,

a = 10.98991

c = 11.69522

∠α = 70° = 1.22173 rad = 7/18π

h = 3.75877

area = 21.97982

perimeter = 26.68513

inradius = 1.64735

circumradius = 5.84761

a

b

c

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.

c =

b

sin(β)

= 11.69522

a = √c2 - b2

= √11.6952176006522 - 42

= √120.77811472661

= 10.98991

∠α = 90° - ∠β

= 70° = 1.22173 rad = 7/18π

area =

a × b

2

=

10.989909677818 × 4

2

= 21.97982

perimeter = a + b + c

= 10.989909677818 + 4 + 11.695217600652

= 26.68513

inradius =

a × b

a + b + c

=

43.959638711274

26.685127278471

= 1.64735

circumradius =

c

2

=

11.695217600652

2

= 5.84761

- ror

An apple farm yields an average of 44 bushels of apples per tree when 24 trees are planted on an acre of ground. Each time 1 more tree is planted per​ acre, the yield decreases by 1 bushel​ (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest​ yield?


In order to get the highest​ yield ______ trees should be planted on an acre.

Answers

Answer:

The answer is 12, I would know because I just took it

Step-by-step explanation:

Assume that arrival times at a drive-through window follow a Poisson process with mean rite lambda = 0.2 arrivals per minute. Let T be the waiting time until the third arrival. Find the mean and variance of T. Find P(T lessthanorequalto 25) to four decimal places. The mean of T is minutes, the variance of T is minutes, the variance of P(T < 25) =

Answers

The variance of P(T ≤ 25) is equal to 0.6431 * (1 - 0.6431), which is approximately 0.2317 (rounded to four decimal places).

In a Poisson process with arrival rate λ, the waiting time until the k-th arrival follows a gamma distribution with parameters k and 1/λ.

In this case, we want to find the waiting time until the third arrival, which follows a gamma distribution with parameters k = 3 and λ = 0.2. The mean and variance of a gamma distribution with parameters k and λ are given by:

Mean = k / λ

Variance = k / λ^2

Substituting the values, we have:

Mean = 3 / 0.2 = 15 minutes

Variance = 3 / (0.2^2) = 75 minutes^2

So, the mean of T is 15 minutes and the variance of T is 75 minutes^2.

To find P(T ≤ 25), we need to calculate the cumulative distribution function (CDF) of the gamma distribution with parameters k = 3 and λ = 0.2, evaluated at t = 25.

P(T ≤ 25) = CDF(25; k = 3, λ = 0.2)

Using a gamma distribution calculator or software, we can find that P(T ≤ 25) is approximately 0.6431 (rounded to four decimal places).

Therefore, the variance of P(T ≤ 25) is equal to 0.6431 * (1 - 0.6431), which is approximately 0.2317 (rounded to four decimal places).

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IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answers

Answer:

33.9 minutes

Step-by-step explanation:

CORRECT ANSWER GETS BRAINLIEST!!!

The least-squares regression equation
y = 120 + 40x can be used to predict the cost of renting a backhoe for x hours. Suppose it costs $325 to rent a backhoe for 5 hours.
Calculate the residual for renting the backhoe for 5 hours, to the nearest hour.
The residual is _____​

CORRECT ANSWER GETS BRAINLIEST!!! The least-squares regression equation y = 120 + 40x can be used to

Answers

Answer:

5

Step-by-step explanation:

just did on edge

The residuals is $5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given, The least-squares regression equation

y = 120 + 40x

This equation can be used to  predict the cost of renting a backhoe for x hours

If  it costs $325 to rent a backhoe for 5 hours.

We need to Calculate the residual for renting the backhoe for 5 hours,

Plug 5 in place of x in equation

y=120+40(5)

y=120+200

y=320

Since the The observed value is $325.

To find residual for renting the backhoe for 5 hours

We have to separate 320 from 325

325-320=5

Hence the residual is 5.

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A store had a TV that cost $100. There was a 25% discount on the TV. How much did the TV cost with the discount

Answers

Answer:

75

Step-by-step explanation: 100 divided by 4 = 25.

100 - 25 = 75.

Answer:

75$

Step-by-step explanation:

Original Price of the Item: $

100

Discount Percent (% off):

25

%

Results:

Amount Saved (Discount): $

25

Sale / Discounted Price: $

75

Brand positioning claims can be made at three levels: attribute-based (what’s in it?), benefit-based (what’s in it for me?), and value-based (why is it important to me?). The goal is to provide consumers with a narrative that feels personally meaning. This is best known as _________.
O creating relevance
O creating resonance
O being realistic
O being distinctive
O being faithful

Answers

Creating resonance in brand positioning involves crafting a narrative that resonates with consumers on a personal and emotional level. The best answer is: O creating resonance

It goes beyond simply listing attributes or benefits of a product or service. Resonance aims to create a deep connection with consumers by highlighting the value and relevance of the brand to their lives.

It seeks to evoke an emotional response and make the brand feel personally meaningful to the target audience. By aligning with consumers' values, needs, and aspirations, creating resonance in brand positioning helps to establish a strong and lasting bond between the brand and its customers.

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Name the algebraic property demonstrated in the example below: (1 point) x ⋅ y ⋅ z = y ⋅ x ⋅ z

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

Q10.
The diagram shows a solid cone.
The radius of the base of the cone is 5 cm.
The total surface area of the cone is 907 cm²
Work out the volume of the cone
5 cm
Diagram NOT
accurately drawn

Answers

The Volume of the cone with base radius 5cm and Total Surface Area 907cm² is   1374.5cm³.

The Volume of the cone is denoted by

V = (1/3)*π*r²*h

where r = base radius

h = height of the cone

In the given question

the base radius r = 5cm

the total surface area of the cone = 907cm²

Total Surface Area of the cone is denoted by = πr(L+r)

where L is the slant height .

Step1: we first calculate Slant height "L"

Substituting the values in Total Surface Area formula we get

907 = π*5(L+5)

Simplifying further we get

L+5 = 907/5π

L = 907/5π - 5

L = 57.77 - 5

L = 52.77

Step2: Use L to find the height of cone

Using Pythagoras Theorem

L²=r²+h²

(52.77)² = (5)² + h²

Simplifying further we get

2784.67 = 25 +  h²

h² = 2759.67

h = √2759.67

h = 52.53

Step 3: use h to find the Volume

Substituting the value of h and r in Volume formula we get  ,

V = (1/3)*π*5²*52.53

= (1/3)*(3.14)*25*52.53

= 4123.605 / 3

= 1374.535

≅1374.5

Therefore , the volume of the cone is 1374.5cm³.

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If sint=18 , and t is in quadrant i, find the exact value of sin(2t) , cos(2t) , and tan(2t) algebraically without solving for t

Answers

The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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simplify the following

\( \frac{5 {ab } ^{2} + 10 {a}^{4} {b}^{3} - 15 {ab}^{3} }{5ab} \)

Answers

Ur welcome workings down below
simplify the following[tex] \frac{5 {ab } ^{2} + 10 {a}^{4} {b}^{3} - 15 {ab}^{3} }{5ab} [/tex]

\(\sqrt{25} is an irrational

Answers

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

⇨ √25 is a rational number

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Hence, √25 is rational.

You are given 3 input strings: X, Y, Z, with lengths x, y, z, respectively. You must find the length, L, of the longest subsequence within Z that is a blend of two subsequences from X and Y. The term "blend" was defined in practice problem 12, and this example should suffice to describe what's going on: Example: X = BABD Y = EBDCBB Z = ACEDF Use A and D from X, use C from Y, to get subsequences AD and C respectively. They blend to ACD, taking A from X, C from Y, and D from X. ACD is a subsequence of Z. = = (a) Set up a recurrence that solves this problem. You should use a function and define the variables. You can describe how to recurse, in English, mentioning how to deal with the new function calls and what values the variables should have. No need for pseudocode. Describe the base cases too. Enter your answer here

Answers

To find the length of the longest subsequence within Z that is a blend of two subsequences from X and Y, we can set up a recurrence relation. The recurrence relation involves defining a function and variables. By recursively solving the problem and considering the new function calls, we can determine the length of the longest blend subsequence. Base cases are also defined to handle the termination condition.

To solve the problem of finding the length of the longest blend subsequence in Z, we can define a recursive function. Let's call this function "findLongestBlend" with the input strings X, Y, and Z, and their respective lengths x, y, and z.

The base cases for the recursion are:

If any of the strings X, Y, or Z becomes empty (i.e., x = 0, y = 0, or z = 0), the length of the blend subsequence would be 0.

If the last characters of X and Y are the same as the last character of Z, then the blend subsequence length would be the maximum of:

1 + findLongestBlend(X, Y, Z without the last character)

findLongestBlend(X without the last character, Y, Z without the last character)

findLongestBlend(X, Y without the last character, Z without the last character)

In each recursive call, we reduce the length of X, Y, and Z by removing the last character if it matches with the last character of Z. We consider the three possible cases mentioned above and choose the maximum length among them.

By applying this recursive approach and handling the base cases properly, we can find the length of the longest blend subsequence within Z formed by subsequences from X and Y.

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What is the volume of this box, in inches cubed In a study of ground motion caused by earthquakes, the peak velocity (in m/s) and peak acceleration (in m/s2) were recorded for five earthquakes. The results are presented in the following table. (Data provided in the assignment as a .csv file 'M11 Dataset 2.csv') Velocity 1.54 1.60 0.95 1.30 2.92 Acceleration 7.64 8.04 8.04 6.37 3.25 a. Compute the correlation coefficient between peak velocity and peak acceleration. b. Construct a scatterplot for these data. c. Is the correlation coefficient an appropriate summary for these data? Explain why or why not. d. Someone suggests converting the units from meters to centimeters and from seconds to minutes. What effect would this have on the correlation? the instructive model of lineage commitment asserts that: the instructive model of lineage commitment asserts that: coreceptor engagement with mhc generates distinct signals for cd4 and cd8. engagement of cd4 leads to down-regulation (decrease) of cd8. engagement of cd8 leads to an increase in gene expression for activities specific to cytotoxic t cells. the first two answers only. all of these. The experiment of Prohibition attempted to promote moral behaviors. Prohibition was appealing from a government standpoint for all of the following reasons exceptA. the Food Administration insisted that grain must be used to produce food, not beer and liquor.B. many breweries were owned by German-Americans, making beer seem unpatriotic.C. that the Eighteenth Amendment unified the country behind a common Progressive cause.D. prohibition attracted many immigrants to America, particularly Irish and practicing Catholics. which of the following would most likely cause the firm's cost curve to shift upward? group of answer choices a decrease in resource prices an increase in government regulations a decrease in taxes an improvement in technology that makes things easier to produce Alex purchased a new car for $35,000. Cars decrease in value at a rate of 18% per year. Show your work/explain your response for each part. Part A:Write an exponential function to model the cost y, of the car after x years. Part B:Use your function from Part A to determine how much the car is worth after 10 years. use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion. a study addressed the issue of whether pregnant women can correctly predict the gender of their baby. among 104 pregnant women, 57 correctly predicted the gender of their baby. if pregnant women have no such ability, there is a 0.327 probability of getting such sample results by chance. what do you conclude? (-3,-1) is a point given in rectangular coordinates. Find the 2 corresponding primary representations of the point in polar coordinates. Approximate the values to 4 significant figures. ) and 2 A rectangular garden is 9ft longer than it is wide. A second rectangular garden is planned so that it will be 6ft wider and twice as long as the first garden. Find the area of the first garden of the sum of the areas of both gardens will be 528 ft^2.