In Math's the unit i mean -√1.
What is meant by imaginary unit?The quadratic equation has a solution in the form of the imaginary unit or unit imaginary number I Despite the absence of a real number for this feature, addition and multiplication can be employed to extend real numbers to complex numbers.
An index that appears below the summation sign serves as a representation of the variable of summing. I is a common way to represent the index.
An indefinite integral is what the integral is known as, and it represents a group of functions (the antiderivative) whose derivative is the integrand. The assessment of definite integrals and indefinite integrals are related in calculus' fundamental theorem.
Therefore, the correct answer is option A) -√1.
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The diagram shows a square pizza box with side lengths of
18 inches. In the box is a circular pizza with a radius of 8
inches. What is the difference between the area of box and
the pizza?
Use π = 3.14 and round your answer to the nearest
hundredth.
Please help
Answer: The area of the square pizza box is 324 square inches.
Step-by-step explanation:
The area of the square pizza box is 18 inches x 18 inches = 324 square inches. The area of the circular pizza is π x (8 inches)^2 = 201.06 square inches. The difference between the area of the box and the pizza is 324 square inches - 201.06 square inches = 122.94 square inches. (rounded to the nearest hundredth).
can anyone help please?
The simplest form of the given expression is:
(9² + 19)/(10² - 5³) = -4
How to solve the expression?Here we want to solve the following expression:
(9² + 19)/(10² - 5³)
We can replace the values:
9² = 81
10² = 100
5³ = 125
Reaplacing that we will get:
(9² + 19)/(10² - 5³) = (81 + 19)/(100- 125)
= 100/-25
= - (100/25) = -4
That is the simplest form of the expression.
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Read the problem below about Uncle Ralph. You are asked to solve it in two different ways and then reflect on your method of solution.
Uncle Ralph says that if you can tell him the number of each type of coin in his pocket, then you can have the money. He gives you this information.
• He has only dimes and quarters.
• He has 17 coins in his pocket.
* The coins are worth $3.35
Can you get Uncle Ralph's money?
a. Solve the problem graphically. (Desmos?)
b. Solve the problem algebraically.
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
what is solution ?addressing a problem by a method or action; giving a justification for the remedy. a number of different variable values that all agree with an equation, specifically The solution is any value of a variable in an equation that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal and so fulfills the equality. The act of solving an equation entails locating its solution or solutions. One approach to express a solution's concentration is as a percentage of a solute in the solvent. The mass of the solute to the mass of the solution ratio or the mass of the solute to the mass of the solution ratio are two other ways to calculate the percentage.
given
q represents the number of quarter
17 - q represents the number of dimes
0.25q + 0.10(17 - q) = 3.35
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
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How many solutions does − 5 z 1 )= − 2z 10 have?
There are no solutions to this equation because it is impossible to divide by 0.
The equation is asking to solve for z:
-5z/(1) = -2z/10
However, this equation is not solvable because it requires dividing by 0. The equation cannot be simplified any further and there are no solutions.
The given equation is -5z/(1) = -2z/10 and it is asking to solve for z. However, this equation is not solvable because it requires dividing by 0. This means that it is impossible to simplify the equation any further or to find a solution. Therefore, the equation has no solutions.
There are no solutions to this equation because it is impossible to divide by 0.
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I need help with this please I need someone
Answer:
the question is not clear enough to be answered so please state it well
What is the graph of a system of linear equations in two variables which has exactly one solution?
Consistent independent systems are linear systems that have only one possible solution. When two lines are independent they are distinct and consistent when two lines intersect.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
What makes an equation linear?
When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.
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If f(x) = 3x – 12, what is f(2)?
A. 6
Β. -6
Ο C. 18
Ο D. - 18
The value of the function for x = 2 is -6.
What is a function?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
Given that, a function f(x) = 3x – 12, we need to find f(2).
To find f(2) we will put x = 2 in the function,
f(x) = 3x-12
f(2) = 3(2) -12
f(2) = 6-12
f(2) = -6
Hence, the value of the function for x = 2 is -6.
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the set of polynomials is ___ closed under division.
The set of polynomials is not closed under division.
A set is said to be closed under an operation if the result of that operation on elements of the set is always an element of the set. For example, the set of natural numbers is closed under addition because the sum of two natural numbers is always a natural number.
In the case of polynomials, the set of polynomials is closed under addition, subtraction, and multiplication. This means that if you have two polynomials, you can add, subtract, or multiply them and the result will be another polynomial.
However, when it comes to division, the set of polynomials is not closed. When you divide two polynomials, the result is not always a polynomial. The result can be a polynomial plus some remainder. For example, dividing x^2 + 2x + 1 by x + 1 will give you x + 1 with a remainder of 1.
Therefore, the set of polynomials is not closed under division because the result of dividing two polynomials is not always a polynomial.
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I have always been curious about this question.
What is 2+2 ???
Is it 22 or 4
Answer:
Step-by-step explanation:
both >:D
Answer: 4
Step-by-step explanation:
1. Hold up two fingers on both hands.
2. Then you count how many fingers are up on both hands.
3. Then you put your answer on your paper
4. Last is you turn it in
a ball is dropped from the top of a 88.51 meter tall tower. how long will it take to hit the ground? round your answer to 2 decimal places.
The ball takes 4.25 seconds to hit the ground.
The time it takes for a ball to fall from a given height can be calculated using the equation:
t = $\sqrt{\frac{2d}{g}}$
where t is the time (in seconds), d is the distance fallen (88.51 meters), and g is the acceleration due to gravity (approximately 9.8 m/s^2 on the surface of Earth).
Plugging in the given values, we have:
t = $\sqrt{\frac{2*88.51}{9.8}}$ = $\sqrt{18.089}$ = 4.25 seconds
To round the answer to 2 decimal places, we get 4.25 seconds
It's important to note that this equation assumes that there is no air resistance, and it's only valid for objects falling in a vacuum.
In reality, air resistance becomes significant as the speed of the falling object increases, and it will cause the object to fall more slowly than this equation predicts.
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Keisha sells hats for $10.50 each and scarves for $12.75 each.
Write an equation that represents the total cost, C, of h hats and 6 scarves.
Enter your answer in the space provided.
The equation that represents the total cost, C, of h hats and 6 scarves is C = 10.50h + 76.5
How to write equation?
Amount Keisha sells each hat = $10.50
Amount Keisha sells each scarves = $12.75
Total cost = C
Number of hats = h
Number of scarves = 6
Total cost = Amount Keisha sells each hat(Number of hats) + Amount Keisha sells each scarves(Number of scarves)
C = 10.50(h) + 12.75(6)
C = 10.50h + 76.5
Therefore, C = 10.50h + 76.5 is the equation which represent the total cost of hats and scarves.
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What is the value of X² 3y²x² if X 3 Y 2?
In this case, X equals 3 and Y equals 2. Then, the equation can be solved by squaring each value and multiplying them together. X² equals 9, y² equals 4 and x² equals 9. When multiplied together, the result is 54. Therefore, the value of X² 3y²x² is 54.
In this case, X equals 3 and Y equals 2. Then, the equation can be solved by squaring each value and multiplying them together. X² equals 9, y² equals 4 and x² equals 9. When multiplied together, the result is 54. Therefore, the value of X² 3y²x² is 54.
The value of X² 3y²x² is 54.
X = 3, Y = 2
X² = 3² = 9
y² = 2² = 4
x² = 3² = 9
Therefore, X² 3y²x² = 9 x 4 x 9 = 54
The value of X² 3y²x² can be found by first determining the values of X and Y. In this case, X equals 3 and Y equals 2. Then, the equation can be solved by squaring each value and multiplying them together. X² equals 9, y² equals 4 and x² equals 9. When multiplied together, the result is 54. Therefore, the value of X² 3y²x² is 54.
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Solve the inequality 7/2 > b + 9/5
Answer:
7/2 > b + 9/5
-9/5 -9/5
7/2-9/5>b
35/10-18/10>b
17/10>b
1 7/10 > b
b<17/10
b<1 7/10
I rewrote the inequality in many forms just in case if you needed it. The bolded forms are all the same except two have improper fractions, two have mixed numbers, and the b is on the right hand side for two whereas in the other two b is on the left hand side.
Step-by-step explanation:
Answer:
b < 17/10
Knowledge NeededTo solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.
Rule
If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.
However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.
For example:
> to <
[tex]\geq[/tex] to [tex]\leq[/tex]
QuestionSubtract 9/5 on both sides.
7/2 - 9/5 > b + 9/5 - 9/5
Combine like terms,
7/2 - 9/5 > b
Find the LCD of 7/2 and 9/5 to solve.
LCM of 2 and 5: 10
Multiply both top and bottom of both fractions by 10/their denominator.
35/10 - 18/10 > b
17/10 > b
b < 17/10
Is 11 over 20 greater than 1 or less than 1
Answer:
11/20 is less than
Step-by-step explanation:
Since 11/20 is a fraction and 1 is a whole number.
parabolic cylinder Definition
In mathematics, especially in analytical geometry, a parabolic cylinder is a three – dimensional quadratic surface (or a quadric surface) given by the equation {{x}^{2}}+2ay=0x 2
+2ay=0. In other words, a parabolic cylinder is a cylinder having a parabola as its directrix. Thus, it is a developable quadric surface. However, not all cylinders are quadric surfaces.
A parabolic cylinder is a three-dimensional surface that is defined by a specific equation in the form of {{x}^{2}}+2ay=0.
It is considered a special type of quadric surface, which is a general term used to describe a wide range of surfaces that can be defined by a quadratic equation. Quadric surfaces include conic sections (such as circles, ellipses, and parabolas), cylinders, and hyperboloids, among others.
The key characteristic of a parabolic cylinder is that it is a cylinder with a parabola as its directrix. The directrix of a parabolic surface is a line that the parabola is symmetric about. In the case of a parabolic cylinder, the parabola is the cross-section of the cylinder, which means that if you were to slice the cylinder perpendicular to its axis, you would get a parabolic shape.
--The question is incomplete, answering to the question below--
"Define parabolic cylinder."
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if the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by
If the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by
Let the length and width of the rectangle be a and b, respectively.
The area of this rectangle is ab sq. units
Now we have a new rectangle whose length is increased by 20% of that of the previous rectab\ngle
Hence, the length is 120/100 X a units
= 6a/5 units.
The width is increased by 50% hence the increased width will be
150/100 X b units
= 3b/2 units.
The area of the new rectangle is
6a/5 X 3b/2
= 9ab/5 sq, units
The area has increased by
9ab/5 - ab
= 4ab/5 sq. units = 0.8ab sq units
Now the percentage increase will be
0.8ab/ab X 100
= 80%
Hence the area has increased by 80%
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What is an angle that forms a square corner and has a measure of 90°
Answer:
right angle
Step-by-step explanation:
its 90
if x is a poisson distributed random variable with a mean of 3, and y is another poisson distributed random variable with a mean of 2, and the two are independent, what is the variance of the sum x y?
The variance of the sum Z = X + Y is 5.
What is Variance?
A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.
If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:
Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.
So, the variance of the sum Z = X + Y is 5.
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If y is a second Poisson distributed random variable with a mean of 2, and both x and y are independent Poisson distributed random variables, then the variance of the sum Z = X + Y is 5.
What is Variance?
A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.
If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:
Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.
So, the variance of the sum Z = X + Y is 5.
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Can you please help with this
A sum of ` 4000 is to be used to give 10 cash prizes to students
of a school, for their overall academic performance. If each
prize is ` 50 less than its preceding prize, find the value of each
prize.
The value of each prize based on the information is 625.
How to calculate the value?From the information, the sum of 4000 is to be used to give 10 cash prizes to students of a school, for their overall academic performance and each prize is 50 less than its preceding prize.
Based on the information, the following can be deduced:
a = first term = unknown
n = 10
d = common difference = -50
This will be slotted into the arithmetic sum as:
n/2 [2a + (n - 1)d]
10/2[2a + (9 × -50)] = 4000
a = (4000 + 2250) / 10
a = 625
The value is 625.
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Solve for x. (You will have two answers.) *
|3x - 5| = 11
Your answer
Answer:
x = 16/3 , -2
Step-by-step explanation:
Solving an absolute value equation
|3x - 5| = 11
Separate into two equations, one positive and one negative.
3x-5 = 11 and 3x-5 = -11
Add 5 to all sides
3x-5+5 = 11+5 3x-5+5 = -11+5
3x = 16 3x = -6
Divide by 3
3x/3 = 16/3 3x/3 = -6/3
x = 16/3 x = -2
Answer:
13x=11+51(collecting like terms)
13x=62
make X subject of formular
X = 62/13
X= 4.76 or 4.8
Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days. How much of the book will she read each day? (easy 5th grade question)
KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days.
Kim reads the remaining part of the book in 5 days
Thus in 5 days she reads 0.2 parts of the book
Then in 1 day she would read 0.2/5=0.04 parts of the book
Hence, KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.
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Which type of systems of linear equations in two variables has no solution?
Answer:
If one of the equations of the system of linear equations with two variables has no solutions, then the system of equations has no solutions.
25. if only the positive integers from 1 through 49, inclusive, are written on a piece of paper, what is the sum of all the digits that are written on the paper?
The sum of all the digits that are written on the paper is 625.
The numbers from 1 to 49 inclusive can be represented as a list of digits from 1 to 49. To find the sum of all the digits, we can use the formula for the sum of the first n natural numbers.
In this case, 49 is the n-th natural number, so the sum of all the digits is n(n+1)/2. The sum of the digits of the numbers between 1 and 49 is 49(50)/2 = 1225.
We can also find the sum of digits by adding up the digits of the numbers from 1 to 49 one by one, we can see that every number from 1 to 49 has at least one digit and a maximum of two digits.
The numbers from 1 to 9 have one digit, and numbers from 10 to 49 have two digits. To find the sum of the digits, we will add all the digits of the numbers from 1 to 49.
The digits of the numbers between 1 and 9 are 1, 2, 3, 4, 5, 6, 7, 8, 9, and the digits of the numbers between 10 and 49 are 1, 2, 3, 4, 5, 6, 7, 8, 9.
The sum of the digits of the numbers between 1 and 49 is 1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9 = 90.
In conclusion, the sum of all the digits that are written on the paper is 625, this can be found by adding up the digits from 1 to 49, every number from 1 to 49 has at least one digit and a maximum of two digits, the numbers from 1 to 9 have one digit and numbers from 10 to 49 have two digits.
The sum of the digits of the numbers between 1 and 49 is 90, this can be found by adding 1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9.
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Examine the expression below, then answer the questions by circling the correct answers. 2x + 3y + 4 a. The term 2x could be read as: ● the sum of 2 and x. ● the product of 2 and x. ● the quotient of 2 and x.
Answer:
(b) the product of 2 and x
Step-by-step explanation:
You want to know how to read the term 2x.
ProductIn algebra, a product is often indicated by writing expressions next to each other without any sort of multiplication symbol. The term ...
2x
indicates the product of 2 and x.
__
Additional comment
The sum looks like 2+x.
The quotient looks like 2/x.
If it takes the Bower family 5 days to travel 2,400
miles. How many miles can they travel in 8 days?
Answer: The answer is 3,840 miles
Step-by-step explanation:
2,400 ÷ 5 = 480
480 x 8 = 3840
Hope this helps ^^
4p^2-p=0
Greatest common factor? I think?
The factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.
What is greatest common factor?The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF).
Given that [tex]4p^2 - p = 0[/tex]:
Solve the equation to find the value of p:
[tex]4p^2 - p =0\\\\p(4p -1 ) = 0\\[/tex]
Here, the value of p = 0 or the value of (4p - 1) =0.
For (4p -1) = 0, the value of p is:
p = 1/4
Hence, the factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.
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-2=3x/5+1 solve please
The solution for x is 1.67.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It typically contains an equal sign (=) and expressions connected by addition, subtraction, multiplication, and division. Equations are used to describe relationships between variables or constants, and can be used to solve for a desired value.
To solve the equation 2 = 3x/5 + 1, we need to use algebraic manipulation to isolate the x variable. First, subtract 1 from both sides of the equation:
2 - 1 = 3x/5
1 = 3x/5
Next, we need to multiply both sides by 5 in order to isolate the x variable:
5(1) = 5(3x/5)
5 = 3x
Finally, divide both sides by 3 in order to solve for x:
5/3 = 3x/3
1.67 = x
Therefore, the solution for x is 1.67.
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what is the value of t
The value of t in s + t = 6 + s will be t = 6 + 2s.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
In this case, it is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
The value of t in s + t = 6 + s will be calculated thus:
s + t = 6 + s
t = 6 + s + s
t = 6 + 2s
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Complete question
What is the value of t?
s + t = 6 + s
What is true when a system of equations has no solutions?
When a system of equations has no solutions, it is referred to as an inconsistent system.
What is equation?An equation is a mathematical statement that two expressions are equal. It consists of two expressions, one on each side of an equal sign. Equations are used to solve problems in mathematics, chemistry, physics, engineering, and other sciences. They can also be used to define relationships between different variables or constants. Equations are an important tool for understanding the world around us.
This means that there is no solution that can satisfy all of the equations at the same time. This can happen when the equations are contradictory, or when one equation is an exact multiple of the other equation. In some cases, a system of equations may have infinitely many solutions, meaning that there are an infinite number of solutions that satisfy the equations. However, in the case of an inconsistent system, no solutions exist.
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