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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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
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)
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
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)
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
-
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| =
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
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.
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
Answer:
4x^2+36x+81
Step-by-step explanation:
FOIL
First terms
Outside terms
inside terms
last terms
What does angle B equal?
NO. IM SORRY. I DID NOT MEANT THAT. DONT TRUST MY ANSWER.
Delete my answer due to my stupidity
I need the answers please
Answer:
-3,4,-4
Step-by-step explanation:
Answer:
(-3,7)
Step-by-step explanation:
Please help me this is my final!!!
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
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.
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
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
PLEASE HELP ME ASAP?!?!:(
What is the midpoint of the segment below?
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
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.
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.
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) =
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
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 _____
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 $100. There was a 25% discount on the TV. How much did the TV cost with the discount
Answer:
75
Step-by-step explanation: 100 divided by 4 = 25.
100 - 25 = 75.
Answer:
75$
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
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
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
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
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
\( \frac{5 {ab } ^{2} + 10 {a}^{4} {b}^{3} - 15 {ab}^{3} }{5ab} \)
\(\sqrt{25} is an irrational
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 numberWork/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
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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