Answer:
3x
Step-by-step explanation:
Answer:
3x
Step-by-step explanation:
1+2=3
so 1X+2x=3x
Find the distance between the points (4, 3) and (0, 6).
Answer:
5
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(0 - 4)² + (6 - 3)²
√(-4)² + (3)²
√(16) + (9)
√25
= 5
Little help, please?
Read the following quote from Mark Twain: "It should, it seems to me, be our pleasure and duty to make those
people free, and let them deal with their own domestic questions in their own way. And so I am an anti-imperialist. I
am opposed to having the eagle put its talons on any other land."
In a short paragraph, reflect on how this quote represents the anti-imperialists' point of view. What is the impact of
Twain's use of the metaphor of the eagle and its talon? Type your response in the box below.
Answer:
Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.
edmentum
Answer:
Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.
Step-by-step explanation:
In the course, we mentioned that the problem of deciding whether a given positive integer n is prime is solvable in polynomial time but that the proof is highly nontrivial. This is based on the assumption that n is given in base 2, i.e. as a binary string. In this problem, we will see that primality has a much simpler algorithm, if we change the base in which we represent n; so the complexity of a problem does depend on how we represent the input. Assume that n is represented in unary notation: namely, the string that represents n is 1
n
(the string of n ones.) In this representation, show that the Eratosthenes' Sieve which checks whether n is divisble by any integer ≤
n
runs in time O(n
2
) when implemented on a Turing machine. (You may assume that there exists a Turing machine which, given n, computes ⌈
n
⌉.
1)The time complexity of the Eratosthenes' Sieve algorithm in unary notation is O(n) + O(n) + O(n) + O(1) = O(n). 2)when implemented on a Turing machine with unary notation input, the Eratosthenes' Sieve algorithm runs in O(n) time complexity, not O(n^2)
In unary notation, a positive integer n is represented by a string of n ones, denoted as '1n'. For example, 5 is represented as '11111' and 10 is represented as '1111111111'.
Eratosthenes' Sieve is an algorithm used to determine whether a given number n is prime by checking its divisibility with integers up to √n. To analyze the time complexity of the Sieve when implemented on a Turing machine with unary notation input, we need to understand the steps involved in the algorithm.
1. Input: The input to the Sieve is the number n represented in unary notation, '1n'.
2. Initialization: Initialize a boolean array of size n, initially assuming all numbers as prime.
3. Sieve: For each number from 2 to √n, check if it is marked as prime. If it is prime, mark all its multiples as non-prime in the boolean array.
4. Primality Check: Finally, check if the number n is marked as prime in the boolean array. If it is, then n is prime; otherwise, it is not prime.
Let's analyze the time complexity of each step:
1. Input: Representing the number n in unary notation takes O(n) time.
2. Initialization: Initializing the boolean array of size n takes O(n) time.
3. Sieve: In unary notation, the value of n is represented by a string of n ones. So, iterating from 2 to √n would require iterating from '11' to '1√n'. Since we are considering unary notation, the number of iterations required will be proportional to n itself. Therefore, this step takes O(n) time.
4. Primality Check: Checking whether n is marked as prime in the boolean array takes constant time, i.e., O(1).
Overall, the time complexity of the Eratosthenes' Sieve algorithm in unary notation is O(n) + O(n) + O(n) + O(1) = O(n).
Therefore, when implemented on a Turing machine with unary notation input, the Eratosthenes' Sieve algorithm runs in O(n) time complexity, not O(n^2) as mentioned in the problem statement.
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Write a value in each region that makes the inequality or inequalities true.
The values we can choose in each region to make the inequalities true are: Leftmost region: (0,3) , Middle region: (2,2) and Rightmost region: (3,0)
what is inequality ?
In mathematics, inequality refers to a relationship between two values or expressions that are not equal. In an inequality, one value or expression is greater than, less than, or greater than or equal to, less than or equal to the other value or expression.
To provide a value in each region that makes the inequality or inequalities true, we need to consider the boundary lines of each region and the signs of the inequalities.
Starting with the leftmost region, we have the boundary lines x = -1 and y = 2. The inequality is x < -1 OR y > 2. To make this true in the leftmost region, we can choose any point that satisfies either x < -1 or y > 2. For example, (0,3) would work.
Moving to the middle region, we have the boundary lines y = x and y = -x + 4. The inequality is y > x AND y < -x + 4. To make this true in the middle region, we need to choose a point that satisfies both inequalities. One such point is (2,2).
Finally, in the rightmost region, we have the boundary lines y = 1 and y = -x + 4. The inequality is y < 1 AND y < -x + 4. To make this true in the rightmost region, we need to choose a point that satisfies both inequalities. For example, (3,0) would work.
Therefore, the values we can choose in each region to make the inequalities true are: Leftmost region: (0,3) , Middle region: (2,2) and Rightmost region: (3,0)
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If Mr. Laura can buy 2.4 kg of sugar for his bakery and then he pours 0 to 4 kg of sugar in a separate bags. How many bags of sugar can you make?
If If Mr. Laura can buy 2.4 kg of sugar for his bakery and then he pours 0.4 kg of sugar in a separate bags, he can make 6 bags of sugar by pouring 0.4 kg of sugar into each bag.
If Mr. Laura bought 2.4 kg of sugar and he pours 0.4 kg of sugar into each bag, then the number of bags of sugar he can make can be calculated using the formula:
Number of bags = Total amount of sugar / Amount of sugar per bag
Using this formula, we can calculate the number of bags of sugar that Mr. Laura can make as:
Number of bags = 2.4 kg / 0.4 kg per bag
Number of bags = 6 bags
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Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.) x⁴ −6x² +5=0
The real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.
Given equation is x⁴ −6x² +5=0
To find the roots of the given equation by factoring method:
First, Let y=x²
Therefore, the equation becomes: y² -6y +5=0
Factorizing the above equation, we get:(y-5)(y-1)=0
From the above equation, we get two values of y: y=5, y=1
When y=5, x²=5 taking square root on both sides we get x= ±√5
When y=1, x²=1 taking square root on both sides we get x= ±1
Hence the real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.
In the comma-separated list, the answer is -√5, 1, √5, -1.
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Please help quickly!!! How do you do this?
Answer:
Just find the area of each of them
Step-by-step explanation:
If XN=6,XM=2, and XY=10, find NZ.
The concept of similar triangles to determine the length of NZ and by setting up a proportion between corresponding sides of the similar triangles XNY and XZM, results in XZ is equal to 30.
To find the length of NZ in triangle XYZ, where MN is a line drawn parallel to YZ with M on XY and N on XZ, we can use the concept of similar triangles.
Since MN is parallel to YZ, we can see that triangles XNY and XZM are similar. By using the property of similar triangles, we can set up a proportion to find the length of NZ.
The proportion can be set up as follows:
XN / XM = XZ / XY
Substituting the given values XN = 6, XM = 2, and XY = 10, we can solve for XZ:
6 / 2 = XZ / 10
Simplifying the equation gives:
3 = XZ / 10
Multiplying both sides by 10 gives:
XZ = 30
Therefore, the length of NZ in triangle XYZ is 30.
In this problem, we utilized the concept of similar triangles to determine the length of NZ. By setting up a proportion between corresponding sides of the similar triangles XNY and XZM, we found that XZ is equal to 30.
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Question: If XN=6,XM=2, and XY=10, find NZ. In a .triangle XYZ, MN is a line drawn parallel to YZ and M is on XY and N is on XZ
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 25 feet. There will be a fence around the garden.The fencing costs $8.00 per linear hundredth. Use 3.14 for pie
we have that
The fence around the garden is equal to
\(P=\frac{1}{2}\cdot\pi\cdot D+D\)where
pi=3.14
D=25 ft
substitute
\(\begin{gathered} P=\frac{1}{2}\cdot3.14\cdot25+25 \\ P=64.25\text{ ft} \end{gathered}\)To find out the cost, multiply 64.25 ft by $8.00 per linear foot
so
64.25*8=$514
the answer is $514write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...
please please help
The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
The Sequences 8, 11, 14,...
first term a = 8
common difference = 11 - 8 = 3
Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3
Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
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Which rectangle is similar to rectangle ABCD
Answer:
JKLM is similar to ABCD
Step-by-step explanation:
Factor 80+60. Write your answer in the form a(b+c) where a is the GCF of 80 and 60.
Answer:
20(4+3)
Step-by-step explanation:
GCF of 80 and 60 = 20
20*4=80
20*3=60
20(4+3)
hope this helps! :)
Which ordered pair is the solution to the system of linear equations y=-7x+2 and y = 9x-14?
(-5.1)
(1.-5)
(5.-1)
(-1,5)
Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)
B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)
C.) Describe the end behavior of this function (2 points)
D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.
A. The y-intercept is at the point (0, 0).
B. The zeros are x = 0 or x = ±√5
C.
How to solve the expressionA) The y-intercept of this graph is the point where x = 0.
When x = 0, the value of y
= 0^4 - 5*0^2
= 0.
Therefore, the y-intercept is at the point (0, 0).
B) The x-intercepts/roots of the function are the values of x that make y = 0.
To find these values, we need to set y = 0 and solve for x:
x⁴ - 5x² = 0
x⁴ = 5x²
x² = x⁴/5
x = ±√(x⁴/5)
We can simplify this expression by factoring x² out of both sides:
x²(x² - 5) = 0
x² = 0 or x² - 5 = 0
x = 0 or x = ±√5
hence the x-intercepts are at x = 0 and x = ±√5.
C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.
x → ∞ f(x) → ∞
x → -∞ f(x) → -∞
D) The graph is attached
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A 1.5-lb package of seedless grapes costs $3.95. Find the unit price in dollars per pound. Round to the nearest cent.
Dr. Wong can see 12 patients in 3 hours. At this rate, how long would it take her to see 72 patients? Provide an appropriate response.
It would take Dr. Wong 18 hours to see 72 patients at her current rate.
To find the unit price in dollars per pound, we need to divide the total cost of the package by its weight in pounds.
The cost of a 1.5-lb package of seedless grapes is $3.95.
So, the unit price in dollars per pound can be calculated as follows:
Unit price = Total cost ÷ Weight in pounds
Unit price = $3.95 ÷ 1.5 lb
Unit price = $2.63 per pound (rounded to the nearest cent)
Therefore, the unit price of seedless grapes is $2.63 per pound.
To find how long it would take Dr. Wong to see 72 patients, we can use proportions.
If Dr. Wong can see 12 patients in 3 hours, then she can see 1 patient in 3/12 hours or 0.25 hours (15 minutes).
So, to see 72 patients, she would need:
Time = Number of patients × Time per patient
Time = 72 × 0.25 hours
Time = 18 hours
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2[5^2 + (36 + 6)] bsbsndnd
Answer:
i am not sure
Step-by-step explanation:
the answer is 134
\(2 ({5}^{2} + (36 + 6))\)
\(2(25 + (42))\)
\(2(67)\)
\( = 134\)
Vector u has initial point at (4, 4) and terminal point at (–12, 8). Which are the magnitude and direction of u?
||u|| = 14.422; θ = 33.690°
||u|| = 14.422; θ = 146.310°
||u|| = 16.492; θ = 14.036°
||u|| = 16.492; θ = 165.964°
Let's find the magnitude of each component:
Let:
\((x1,y1)=(4,4)\)
\((x2,y2)=(-12,8)\)
\(u=ax+by\)
\(||u||=\sqrt{a^2+b^2}\)
So, let's find a and b:
\(a=|x2-x1|=|-12-4|=|-16|=16\)
\(b=|y2-y1|=|8-4|=|4|=4\)
so:
\(||u||=\sqrt{16^2+4^2}\)
\(||u||=\sqrt{272}\)
\(||u||\thickapprox16.492\)
And the direction is:
\(\theta=180-\text{tan}^{-1}\huge \text(\dfrac{b}{a}\huge \text)\)
\(\theta=180-\text{tan}^{-1}\huge \text(\dfrac{4}{16}\huge \text)\)
\(\theta\thickapprox180-\text{tan}^{-1}\huge \text(\dfrac{4}{16}\huge \text)\thickapprox165.964\)
Algebra 1 Final Exam 2020
A repair bill for your car is $850. The parts cost $325, and the labor cost is $55 per hour. What is the context of the slope?
A medical test has a 95% accuracy of detecting a Condition Z if the person has it. It also has a 97% chance to indicate that the person does not have the condition if they really don't have it. If the incidence rate of this disease is 10 out of every 100: What is the probability that a person chosen at random will both test positive and actually have the disease (i.e., get a true positive)
Answer:
0.77
Step-by-step explanation:
According to the Question,
Let, We have 10000 patients & If the incidence rate is 10 out of 100, then 1000 people will have the disease.
Given, A medical test has a 95% accuracy of detecting Condition Z if the person has it. Thus, Out of those 1000, 950 will test positive.And, It also has a 97% chance to indicate that the person does not have the condition if they really don't have itSo, Out of the 9000 people who don't have the disease, 3%
that is, 270 People, will get a false positive.
Thus, the probability that a person is chosen at random will both test positive and actually have the disease is \(\frac{950}{950+270}\) .
\(\frac{950}{1220}\) ⇒ 0.7786 ≈ 0.77x+y=3
x^2+y^2=17
Solve the simultaneous equations
The possible solution set for the system is (- 1, 4) and (4, - 1).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the equations as -
x + y = 3
x² + y² = 17
Refer to the graph of the function attached. The points of intersection represents the possible solution set.
Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).
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evaluate given: x=2 & y=6 8-4x+5y
Answer:
30
Step-by-step explanation:
We are given the expression:
\(8-4x+5y\)
and asked to evaluate given x=2 and y=6.
Therefore, we must substitute 2 for x and 6 for y.
\(8-4(2)+5(6)\)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 4 and 2.
4*2= 8
\(8-8+5(6)\)
Multiply 5 and 6.
5*6=30
\(8-8+30\)
Subtract 8 from 8.
8-8=0
\(0+30\)
Add 0 and 30.
\(30\)
The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.
4.Beyunka is creating a diagram to prove that a certain triangle is a right triangle.
In her diagram, she uses three white quadrilaterals that are squares. Which
diagram could be the one that Beyunka is creating?
Option 'D' is the correct option.
The correct diagram for Beyunka creating is given in option D.
What is Right triangle?
When an angle of a triangle is measure 90 degree then the triangle is called a right triangle.
Given that;
Beyunka is creating a diagram to prove that certain triangle is a right triangle.
Since, The right triangle is satisfy the Pythagoras theorem.
Now, By option D;
Let sides of a triangle are,
Hypotenuse (H) = c
Perpendicular side (P) = a
Then, The base of the right triangle = √H² - P² = √c² - a²
And, All other diagrams are not satisfy the Pythagoras theorem.
Thus, The correct diagram for Beyunka creating is given in option D.
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Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form?
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
The polynomial in standard form is y = 12x³ - 5x² + 5x + 17 and the addition closure property implies that addition of polynomial gives polynomial
How to determine a third-degree polynomialThe mathematical statement is given as:
Create a polynomial
A polynomial in standard form can be represented as
y = axⁿ + ...... + c
In the above representation, the variable n represents the degree of the polynomial
This means that
n = 3 in a third degree
So, an instance of the polynomial could be
y = 12x³ - 5x² + 5x + 17
It is in standard form, because the exponents are in decreasing order from 3
The closure propertyThe closure property states that "when something is closed, the output will be the same type of object as the inputs"
In this case, it means that when polynomials are added, the result is a polynomial
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Part of a school’s stage is shaped like a sector of a circle, as shown below. The students do not yet know the exact dimensions of this part of the stage, but they want to identify as many relationships as possible so that they will be able to decorate this part of the stage when the dimensions are available.
Answer:
68.78° or 0.6 radStep-by-step explanation:
Use the formula:
degrees/360° = L/circumferenceor radians/π = L/circumferenceAs per given:
l = 12 feet, r = 10 feet
degrees = 360°*12/(2*3.14*10) = 68.78° radians = π rad *12/(2π*10) = 0.6 radAdd or Subtract then complete the chart
The complete chart here is
|---Simplify the Polynomial---|--Degree--|--Leading Coefficient--|--Constant--|
|------7a^4 - 3a^3 - 2a + 2------|------4-------|---------------7----------------|--------2-------|
Explain polynomial
A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and exponentiation. Polynomials can have one or more terms and are commonly used to model relationships in science and engineering.
What is meant by coefficient?
The coefficient is a numerical factor that is multiplied by a variable or a product of variables in an algebraic expression or equation.
According to the given information
To add the two polynomials, we combine like terms. That is, we add the coefficients of terms that have the same degree.
(7a⁴ - 6a³ + 1) + (3a³ - 2a + 1)
= 7a⁴ + (-6a³ + 3a³) + (-2a) + (1 + 1)
= 7a⁴ - 3a³ - 2a + 2
So, the simplified polynomial is `7a⁴ - 3a³ - 2a + 2`.
The degree of this polynomial is `4` since the term with the highest degree is `7a⁴`.
The leading coefficient of this polynomial is `7` since it is the coefficient of the term with the highest degree.
The constant term of this polynomial is `2` since it is the term with a degree of `0`.
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what are all the values of c that will make x^2 cx 121 a perfect square ?
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
Choose a reasonable estimate.
thickness of a paperback book
A. 25 mm
B. 25 m
C. 25 km
Answer:
A. 25mm
Step-by-step explanation:
Answer: 25 mm
Step-by-step explanation: No book is ever a meter or kilometer thick.
corey bought 2122 start fraction, 1, divided by, 2, end fraction liters of paint for $60\$60$60dollar sign, 60. what was the cost per liter of paint?
Answer:
the cost per liter of the paint is equal to 24 8/liter
Hope this helps :)
Find the value of the expression
Z - y
for y = 14 and z = 20.
Answer:
20 - 14 = 6
that's it doneee
Step-by-step explanation:
Given. y = 14 and z = 20
Z - y
= 20 - 14
= 6
Hope it will help :)
The whole number 330 is divisible by 2 3 5 6 10 and 11
Answer:
3,10,6
this is the answer