A polynomial function that has zeros,
5 and -2+2i, is x² -x(3 +2i) +10(i - 1).
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A polynomial function has zeros,
5 and -2+2i.
Firstly, we will write the zeros as factors of the polynomial,
(x-5) and (x +2 - 2i).
Now, multiply the factors,
⇒ x²+2x -2ix -5x -10 + 10i
⇒ x² -x(3 +2i) +10(i - 1)
Therefore, x² -x(3 +2i) +10(i - 1) is the required polynomial.
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A TV wa priced at 250 euro before VAT of 20% wa added on. What wa the elling price of the TV
The selling price of the TV is 300 euro (250 euro original price + 20% VAT).
What is VAT(Value Added Tax) ?
VAT stands for Value Added Tax, it is a consumption tax that is added to the price of goods and services. VAT is imposed on most goods and services in many countries around the world, and it is usually a percentage of the sale price. The percentage can vary depending on the country and the type of goods or services being sold.
To calculate the VAT, we can use the formula:
VAT = (original price x VAT percentage) / 100
So, in this case:
VAT = (250 x 20) / 100 = 50
Now we add the VAT to the original price to find the selling price:
selling price = original price + VAT
250 + 50 = 300 euro.
Therefore , The selling price of the TV is 300 euro (250 euro original price + 20% VAT).
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VAT = (original price x VAT percentage) / 100
So, in this case:
VAT = (250 x 20) / 100 = 50
Now we add the VAT to the original price to find the selling price:
selling price = original price + VAT
250 + 50 = 300 euro.
Therefore , The selling price of the TV is 300 euro (250 euro original price + 20% VAT).
Box A contain only green and purple counter. Box B contain only green, purple and orange counter. Juan pick one counter from box A and one counter from box B. How many poible way are there for Juan to pick exactly one purple counter
The number of possible ways in which Juan can pick exactly one purple counter from Box A and Box B is 3.
Given,
We know that, Box A contains only green and purple counters.
We also know that, Box B contains only green, purple, and orange counters.
According to question ,
Juan picked one counter from Box A and one counter from Box B
Possible ways to pick exactly one purple counter :
Box A Box B
one purple counter one orange counter
one purple counter one green counter
one green counter one purple counter
Hence, there are 3 ways in which Juan can pick exactly one purple counter.
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Find the perimeter of an isosceles trapezoid that has bases of lengths 10 and 18 cm and a height of 8 cm.
Answer:
28 +8√5 ≈ 45.89 cm
Step-by-step explanation:
You want the perimeter of an isosceles trapezoid with bases 10 and 18 cm and height 8 cm.
Slant heightThe length of each side of the trapezoid is the hypotenuse of a right triangle with legs 4 and 8:
c² = a² +b²
c² = 4² +8² = 16 +64 = 80
c = √80 = 4√5 . . . . . . length of one side of the trapezoid
PerimeterThe perimeter is the sum of the lengths of the sides and the bases:
10 + 18 + 2(4√5) = 28 +8√5 . . . . . cm
The perimeter is 28 +8√5 ≈ 45.89 cm.
Question: Look at the following tables and use the pronumerals give to write a formula for each table.
Could someone please help me with this and send me an explanation too? thanks :)
The formula using the pronumerasl we get
For 'e' the formula stands as 2f = g+1
For 'f' the formula stands as c = 3s + 1
For 'g' the formula stands as a = 4d-3
For 'h' the formula stands as g = 5g-4
For 'i' the formula stands as e = 11f- 20
For 'j' the formula stands as q = 20p + 4
For 'k' the formula stands as t = 4b
For 'l' the formula stands as p = 3u - 1
What is Equation ?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" sign in it.
One of the significant forms used to express a straight line algebraically is the two point form. Each point on the line fulfills the equation for the line, which means that the equation for the line represents every single point on the line. When two points on a line, (x 1, y 1) and (x 2, y 2), are known, the two-point form of a line is used to get the equation of the line.
For 'e' the formula stands as 2f = g+1
For 'f' the formula stands as c = 3s + 1
For 'g' the formula stands as a = 4d-3
For 'h' the formula stands as g = 5g-4
For 'i' the formula stands as e = 11f- 20
For 'j' the formula stands as q = 20p + 4
For 'k' the formula stands as t = 4b
For 'l' the formula stands as p = 3u - 1
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complanar points are points on the same plane Y,X,Z are complanar therefore
Answer:
. . . they are on the same plane
Step-by-step explanation:
I don't know how else this could be answered with the information given,
What is the Cartesian product of A =( 1 2 and b =( ab Mcq?.
The Cartesian product of A = {1, 2} and B = {a, b} is A × B = {(1, a), (1, b), (2, a), (2, b)}
We know that the Cartesian Product of sets M and N is defined as the set of all ordered pairs (x, y) such that x belongs to set M and y belongs to set N.
It is denoted as M × N = {(x,y) | x ∈ M and y ∈ N}
For example, consider a set P = {1, 2}
and set M = {3, 4, 5},
From the definition of the Cartesian Product of P and M,
P × M = {(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5)}
In this question we have been given two sets A = {1, 2} and set B = {a, b}
Using the definition of Cartesian product,
A × B = {(1, a), (1, b), (2, a), (2, b)}
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What is the value of 2 Power 2 by 5?.
Answer: 32
Step-by-step explanation:
Set A = {5,6,7,8} and Set B = {7,8,9,10}. Which of the following numbers is in the intersection of sets A and B?
A: 4
B: 5
C: 6
D: 7
The intersection of two sets is the set of elements that are common to both sets. In this case, Set A = {5, 6, 7, 8} and Set B = {7, 8, 9, 10}. Therefore, the intersection of Set A and Set B is {7, 8}.
Therefore, the number that is in the intersection of sets A and B is D: 7
It's important to note that both numbers 7 and 8 are in the intersection of the sets, but the question is asking for only one number.
Write y = -7 + 6x in standard form
Answer: y = -7 + 6x in standard form is 6x - y = 7
Step-by-step explanation: I hope this helps!
Answer: 6x + y= -7
Step-by-step explanation:
y= mx+b
Y-int form
standard form: ax+by=C
So...
6=x
1=y
-7=c
a scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meeters. what number of actual meters are represented by 18 centimeters on the blueprint.
Answer:
Step-by-step explanation:
I think that the numbers 10-(2-3990
What is the perimeter of a rectangle if the length is 3x(x-4) inches and the width is 2 + x inches?
Answer:
6x²-22x+
Step-by-step explanation:
perimeter=2(L+W)
L=3x²-12x
W=2+x
perimeter=2(3x²-12x+2+x)
=2(3x²-11x+2)
6x²-22x+4=0
What are the factors of 9x2 3x 20?.
The factors of 9x² – 3x – 20 is (3x+4)(3x−5).
A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, usually smaller or simpler things of the same kind.
Factorization in mathematics is the method of dividing a large number into tiny ones that, when multiplied together, give you the original number. Factorization is the split of a number into its factors or divisors.
We can also format it as
9x²−3x−20=9x²−15x+12x−20
by avoiding the everyday language
9x²−3x−20=3x(3x−5)+4(3x−5)
hence, we do
9x²−3x−20=(3x+4)(3x−5)
Factorization, also known as factoring, is the process of dividing or decomposing a thing into factors that, when multiplied together, form the original number, matrix, etc.
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Does earthquake intensity change with distance?.
No, Since earthquake waves lose energy as they move through the earth, shaking is less powerful away from the fault. Compared to high-frequency waves, low-frequency waves lose strength across distance more slowly.
The magnitude scale, which measures an earthquake's size, is unaffected by distance from the event. The extent of damage depends on how violently the ground shakes when an earthquake occurs.
The depth of the earthquake, the distance from the fault, the underlying soil, and the characteristics of the buildings, particularly their height, intensity, are the subsequent primary elements impacting earthquake shaking strength. The brightness of a celestial object, like a star or galaxy, as judged by an observer at a particular distance from the object is known as its apparent magnitude. The apparent brightness increases with decreasing distance between observer and object.
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i need answer by today
The vertical portion of this plane's path is 81 degrees because it is travelling at a 90-degree angle of depression. She will have 393.3 yards remaining after multiplying 450 by 45 by 126.
What is the smallest angle of the plane ?The vertical component of this plane's angle of descent is 81 degrees, or 90 degrees. The landing field is no longer in this location. This is the landing area. I have 450 points and a 126-degree angle. Since this is not a right triangle, I will apply the law of sins.
I'm going to perform my x over my sin of 45, which is equivalent to my 450 yards over the 126 point. I'll multiply 126 times by 45 times to get 450 times. Divide both sides by 126 degrees; we'll do that. She will have 393.3 yards remaining after multiplying 450 by 45 by 126.
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i need answer by today
The distance between pylon B and pylon C is 1017.60 m, using the Pythagorean theorem.
What is Pythagorean theorem?The Pythagorean Theorem, also known as Pythagoras' Theorem, states that the area of the large square is equal to the sum of the areas of the two smaller squares.
In terms of algebra, the triangle's a and b are its legs, and its hypotenuse is equal to its product, a2 + b2 = c2.
Since it provides the foundation for the definition of distance between two points in Euclidean geometry, the theorem is crucial. Anyone who took geometry in high school, in my opinion, cannot possibly fail to remember it long after other math concepts have been completely forgotten because it is so fundamental and well-known.
Using Pythagorean theorem
The hypotenuse is the Distance from pylon B to pylon C
c = [tex]\sqrt{a^2 + b^2}[/tex]
Distance from pylon B to pylon C = [tex]\sqrt{845^2 + 567^2}[/tex]
= 1017.60 m
Thus, The distance between pylon B and pylon C is 1017.60 m, using the Pythagorean theorem.
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find the length of the arc on a circle of radius r intercepted by a central angle θ
The length of the arc on a circle of radius r intercepted by a central angle θ is about 67.02 inches.
What is length of arc?
The distance between two places in a curve's section is known as the arc length. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.
A circle has circumference 2πr.
240° is 240/360 of a circle or
24/36 = 6/9
= 2/3 of the circle
The arc is 2/3 of 2πr
= 2/3 x 2pi x 16 inches
General formula for the length of an arc is -
Arc Length = θ × r, with θ in radians 240 degrees
= 4π/3 radians
Arc = 4pi/3 x 16
= 64pi/3
= about 67.02 inches
Therefore, the length of arc is about 67.02 inches.
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Does the commutative property of subtraction apply to all real numbers why why not?.
The subtraction is not commutative because the order in which we subtract numbers affects the result.
Commutative property is applicable only for addition and multiplication processes. Thus, it means we can change the position or swap the numbers when adding or multiplying any two numbers.
The commutative property of subtraction does not apply to all real numbers. Subtraction is not commutative because the order in which we subtract numbers affects the result. For example, if we subtract 3 from 5, we get 2. But if we subtract 5 from 3, we get -2. The commutative property only applies to addition because a + b = b + a for all real numbers.
hence, the subtraction is not commutative because the order in which we subtract numbers affects the result.
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What is the scale used for measuring the intensity of the earthquake Mcq?.
The scale used for measuring the intensity of the earthquake is Richter Scale.
American seismologists Charles F. Richter and Beno Gutenberg developed the Richter scale (ML), a numerical indicator of an earthquake's size, in 1935. The height of the greatest seismic wave, as measured by the logarithm of its amplitude (height), is used to calculate the earthquake's magnitude.
Although the original Richter scale has been supplanted by other, more precise scales in modern science, the Richter scale is still frequently used incorrectly in news reporting of earthquake severity as a catch-all name for the logarithmic scale that earthquakes are measured on.
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Why 4225 is a perfect square?.
Yes, the number, 4225, is a perfect square because it can be expressed as square of 65 which is a whole number, i.e., 4225 = 65².
In mathematics, a square number or perfect square is an integer that is the product of some integer with itself. For example, 25 is a square number, it is equals to 5² and can be written as 5×5. A perfect square always represented as second power of a number. Perfect Square Formula : Let us consider if N is a perfect square of a whole number x, then it can be written as N = product of x and x = x². So, the perfect square formula is, N = x². We have a number 4225. Now, we resolve 4225 into prime factors, we get, 4225 = 5×5×13×13 = 5×13×5×13
= 65×65 = (65)²
Hence, the square of 65 results 4225. Therefore, 4225 is a perfect square.
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The tourit bureau of the Hawaiian Iland urveyed a ample of United State tourit a they left to return home. The tourit were aked how many day they pent on their viit. Their repone were a follow. 12,7,9,10,11,11
The mean of the sample is 10 and median is 10.5
The mean of the sample is given by: (∑ tour day)/ n
where n is number of visitors
∑ tour day =12 + 7 +9 + 10 + 11 +11
=> 60
so ∑ tour day = 60
n = 6
so mean = 60 /6
=> 10
so the mean of the sample is 10.
The median of the list is found by sorting the element in ascending order and then find the average of middle most value
so after sorting the list in ascending order we get:
7 , 9, 10 , 11 , 11 , 12
so the median = (10 +11 )/2
=> 10.5
so the median of the list is 10.5
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Complete question:
The tourit bureau of the Hawaiian Iland urveyed a ample of United State tourit a they left to return home. The tourit were aked how many day they pent on their viit. Their repone were a follow.
12,7,9,10,11,11
Find the mean and median of this sample of numbers. Round your answer to two decimal places.
what is the difference (-2x+9) (3x-4
Answer:
-6x² + 35x - 36.
Step-by-step explanation:
(-2x + 9) (3x - 4)
=-2x ( 3x - 4) + 9 (3x - 4)
=-6ײ + 8x + 27x - 36.
=-6x² + 35x - 36.
What is the inverse of log 10?.
The inverse of f(x) = log₁₀(x) is 10ˣ.
A logarithm is an exponent to which a base must be raised to generate a given number. Expressed mathematically, x is the logarithm of n to the base a if ax = n, in which case one writes x = logₐn.
A logarithm is defined using an exponent.
aˣ = b ⇔ logₐb = x
Here, "log" stands for logarithm. The arrow's right part is read as "Logarithm of b to the base a is equal to x".
We have the function,
f(x) = log₁₀(x)
Let y = f(x)
⇒y = log₁₀(x)
⇒[tex]10^{y}[/tex] = x
∴[tex]f^{-1}[/tex](x) = 10ˣ
--The given question is incomplete; the complete question is
"What is the inverse of f(x) = log₁₀(x)?"--
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How many solutions does the following equation have − 15y 7 17y 2y 70?.
There is no solution for the given equation "-15y + 7 + 17y = 2y + 70".
We are given an equation.
"-15y + 7 + 17y = 2y + 70"
We have to calculate the number of solutions to the given equation.
"-15y + 7 + 17y = 2y + 70"
Rearrange the terms
-15y + 17y + 7 = 2y + 70
Combine like terms
2y + 7 = 2y + 70
Subtraction property of equality
2y - 2y = 70 - 7
Combine like terms
0 = 61
But it is not possible.
Thus, there is no solution for the given equation -15y + 7 + 17y = 2y + 70.
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I need some help on this question
m<1=64
m<2=150
The equation is m+64=150
m= 86
PLSSSS I’ll give brainliest!!! Due at 11:59 I’m in 5th grade
Answer:
A -> 3 × 3/4
B -> 4 × 1/4
C -> 2× 2/3
D -> 3 × 1/6
E -> 2 × 2/4
F -> 4 × 5/6
Li is proving that TriangleLMN and TrianglePMQ are
similar. As part of her proof, she wants to
show that AngleMPQ is congruent to AngleMLN.
Which additional piece of information does
Li need to prove that AngleMPQ is congruent to
AngleMLN?
In order to prove that ∠MPQ is congruent to ∠MLN, she requires that PQ and LN should be parallel.
What are parallel lines?
When two lines in a plane do not cross at any point, they are said to be parallel. Lines that never cross paths with one another and do not have a common junction point are said to be parallel. They are equally spaced apart and have the same incline.
We know that corresponding angles of parallel lines are equal.
As shown in the figure, ∠MPQ and ∠MLN are corresponding angles.
So, if she is provided that PQ and LN are parallel, then, she can prove that ∠MPQ is congruent to ∠MLN and thus, the triangles are similar.
Hence, she requires that PQ and LN should be parallel.
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Decide whether ABCD with vertices A(-5, -3) , B(-3, -5) , C(-5, -7) , and D(-7, -5) is a rectangle, a rhombus, or a square.
Vertices A(-5, -3) , B(-3, -5) , C(-5, -7) , and D(-7, -5) is a rectangle
What are the Vertices?Generally, Based on the given vertices, ABCD is a rectangle. A rectangle is a four-sided polygon with four right angles, and the coordinates provided satisfy that definition.
A rhombus is a four-sided polygon with all sides congruent and opposite angles congruent, and a square is a rectangle with all four sides congruent.
Since all sides are not congruent, it is not a rhombus or a square.
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How do you find the value of 3 ratios?.
Divide all three of the numbers in the ratio by the same number until they cannot be divided exactly any further to simplify a ratio with three numbers.
For instance, make the ratio simpler by using the numbers 20: 5: 10. 20, 5, and 10 may all be divided by 5 perfectly.
The 20:5:10 ratio can be expressed as 4:1:2.
By combining the ratio's numbers together, determine the total number of pieces.
Divide the supplied sum by the total number of parts to determine the value of each component in the ratio.
Divide the original ratio by the sum of each component's values.
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Expert need please follow the directions below and answer accurately it will be greatly appreciated. Thank you
The average rate of change of an function g(x) = 4ˣ from x₁ = -1 to x₂ = 3 is 15.9375
How to determine average rate of change of a function?The average rate of change of an function can be determine by using the formula below:
average rate of change = (g(x₂)- g(x₁)) / [x₂- x₁]
From the given information, g(x) = 4ˣ and x₁ = -1, x₂ = 3
For g(x) = 4ˣ:
average rate of change = (4³ - 4⁻¹) / (3-(-1))
= (63.75)/4
= 15.9375
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A warehouse uses large trucks to ship goods to stores. A fleet of 3 trucks can empty 2 storage sections in the warehouse. If 18 trucks are needed to completely empty the warehouse, how many storage sections are there in the warehouse?
Answer:12
Step-by-step explanation:
