Which graph shows a plot of the complex number i − 2?
Given:
Complex number: i − 2?
i - 2 is \(-2 + i\) in standard form. So, the point is 2 left and 1 up from the origin and the graph that shows a plot of the complex number i – 2 is the second graph. Please see attached image for the graph.
To add, expressing a number in the form a + bi, whereas the real numbers are b an a, while i is the imaginary unit (which satisfies the equation i2 = −1) is called a complex number. a is called the real part of the complex number, and b is called the imaginary part In the given expression.
You are a member of a darts team and they have won $1750 prize money in a competition. $70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members
Jeremy finds a set of plans to build a model airplane. Most, but not all, of the lengths given in the plans are direct measurements. According to the plans, each horizontal stabilizer of the tail wing is made from a right triangle. The length of the leg of the triangle that touches the plane is AB = 8 inches, and cosA=817. To find the number of inches each horizontal stabilizer extends from the plane, find BC.
The demand for a new electric guitar causes a music store to increase the price of the guitar by 45%. If the guitar originally costs $320, what is the new price of the guitar?
Answer:
The new price of the guitar would be $464.00
Step-by-step explanation:
The original price of the guitar = $320
The music store increased the price of guitar by = 45%
First we calculate 45% of the 320 and then add it to the original price.
The new price of the guitar = 320 + ( 45% × 320 )
= 320 + ( 0.45 × 320 )
= 320 + 144
= $464
The new price of the guitar would be $464.00
Frank kicks a soccer ball off the ground and in the air, with an initial velocity of 30 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 14.1 feet 13.7 feet 13.2 feet 15.2 feet
The answer is A or 14.1!
How to write 45 percent as a word form
One US dollar is currently worth 0.79 euro (€). If you exchange $522 for euros, how many euros will you have?
If you exchange $522 for euros, the number of euros you would have is equal to 412.38 euros (€).
What is a direct proportion?In Mathematics and Geometry, a direct proportion is a mathematical equation which is typically used to represent the equality of two (2) ratios.
Based on the information provided, we have the following exchange rate:
1 US dollar = 0.79 euro (€).
522 US dollar = X euro (€).
By cross-multiplying, we have the following:
X = 0.79 euro (€) × 522 US dollar
X = 412.38 euros (€).
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Select each quadrilateral that has exactly four right angles.
trapezoid
isosceles
trapezoid
parallelogram
rhombus
rectangle
Answer:
Square, and Rectangle
Step-by-step explanation:
the others don't have a 90 degree angle
For which value or values are the expressions 15k + 9 and 3(2k + 3) + 9k equivalent? A) no values B) 3 C) 3,5 and 8 or D) all values
Final answer:
The expressions 15k + 9 and 3(2k + 3) + 9k are equivalent for all values of k because after simplifying the second expression, it matches the first expression exactly.
Explanation:
To determine for which value or values the expressions 15k + 9 and 3(2k + 3) + 9k are equivalent, we must first simplify the second expression.
Simplify 3(2k + 3) + 9k:
= 6k + 9 + 9k
= 15k + 9.
Now we compare the simplified forms of both expressions. It is clear that they are identical in form, meaning that they are equivalent for all values of k. No additional values are needed; the expressions are universally equivalent as they simplify to the same equation.
what is the cost of six filters if eight cost 39.92
The sum of two numbers is 60. The larger number is 18 more than the smaller number. What are the numbers?
How is a tangent different from a chord? Explain.
The main difference between tangent and chord is that the tangent touches the curve at only one point whereas the chord touches the curve at two points.
Chord:
A chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.Tangent:
The tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve.The tangent makes an angle of 90 degree with the radius of circle at the point of contact.From above definitions of Chord and Tangent , we say that chord touches the curve at two points where as Tangent touches the curve at only one point .
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A tangent is a line that touches a circle at only one point and is perpendicular to the radius at the point of contact, while a chord is a line segment with both endpoints on the circle.
A tangent and a chord are lines that relate to the curve of a circle, but they have distinct differences. A tangent is a line that touches a circle at exactly one point, and at this point of contact, it is perpendicular to the radius of the circle, which is called the axis in this context. In sharp contrast, a chord is a line segment whose endpoints both lie on the circle. When constructing the perpendicular from the midpoint of a chord, you are drawing an axis. For tangents, the perpendicular erected from the point of contact with the circle is also an axis.
This shows that the tangent is unique in that it has a "no-cut" property; it is the only line that will touch the circle at that single point without cutting through it. When looking at the slope of curves, the slope of the tangent line at the point of contact represents the exact slope of the curve at that point. The differentiation process in mathematics is used to find this slope of the tangent, which is important for understanding the rate of change at a specific point on a curve.
Write 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 as a power of 10 using exponents.
A) 10'3
B) 10'6
C) 10'9
D) 10'10
John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours?
Answer:
for ever 1 hour the price goes up by ten
Step-by-step explanation:
how do you solve (x+3)-15=7(x-2)+8
The equation shows the relationship between x and y: y = 6x + 1 What is the slope of the equation?
NEED HELP FAST!
6.
(08.02 MC)
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5 (1 point)
name the property the equation illustrate -5+(8+10)=(-5+8)+10
How many numbers between 1 and 100 are multiples of both 2 and 7
There are 7 numbers between 1 and 100 that are multiples of both 2 and 7.
Explanation:To find the numbers between 1 and 100 that are multiples of both 2 and 7, we need to find the common multiples of these two numbers. The multiples of 2 are 2, 4, 6, 8, 10, and so on. The multiples of 7 are 7, 14, 21, 28, and so on.
We can see that the common multiples of 2 and 7 are 14, 28, 42, 56, 70, 84, and 98. There are a total of 7 numbers between 1 and 100 that are multiples of both 2 and 7.
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What scale factor(s) will produce an image that is larger than the original? I. 0.86 II. 116% III. 9 over 5
Scale factors greater than 1 will produce an image larger than the original.
Explanation:The scale factor that will produce an image larger than the original is any scale factor greater than 1.
I. 0.86: This scale factor is less than 1, so it will make the image smaller.II. 116%: This scale factor is greater than 1, so it will make the image larger.III. 9 over 5: This scale factor is greater than 1, so it will make the image larger.Learn more about Scale factors here:https://brainly.com/question/35553153
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What is 74 divided by 3
The value is 24 1/3
How to determine the valueFirst, we need to know that division is an arithmetic operation that is the result of a divisor and a dividend
We have other arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracketparenthesesFrom the information given, we have that;
74 divided by 3
This is represented as;
74/3
Divide the values
24 1/3
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How many solutions are there for the system of equations shown on the graph?
No solution
One solution
Two solutions
Infinitely many solutions
Help best answer gets brainliest
!!!!!
Translate the algebraic expression shown below into a verbal expression.
Fraction with variable x in numerator and 4 in the denominator.
The sum of four and some number
The product of some number and four
The difference of four and some number
The quotient of some number and four
est answer will get BRAINLIEST!
The algebraic expressions for the given verbal expression are 4x+y, 4x, y-4, x/4
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are some verbal expression, we need to translate it into algebraic expressions,
The variables will be x and y,
1) The sum of four and some number =
x+x+x+x + y = 4x+y
2) The product of some number and four =
4×x = 4x
3) The difference of four and some number =
y-4
4) The quotient of some number and four =
x/4
Hence, the algebraic expressions for the given verbal expression are 4x+y, 4x, y-4, x/4
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Final answer:
The algebraic expression with a variable 'x' in the numerator and '4' in the denominator translates to the verbal expression 'The quotient of some number and four', indicating a division of 'x' by 4.
Explanation:
The algebraic expression given is a fraction with variable x in the numerator and 4 in the denominator. This expression can be translated into a verbal expression as "The quotient of some number and four". It's important to understand each term used in this expression:
Quotient refers to the result of division.
Some number refers to an unspecified or unknown quantity, which is represented by x in this context.
The number 4 is the divisor in this expression.
Therefore, when we talk about the quotient of some number and four, we are referring to dividing an unknown quantity (x) by four (4).
Restaurant sales totaled 38,676 for the week. Your customer count was 7,325. What did the average customer spend for the week
divide total by number of customers
38,676/7,325 = 5.28
average was $5.28
Which graph represents the function r(x) = |x – 2| – 1
Which graph represents the function r(x) = |x – 2| – 1
- The first graphwe have
[tex] r(x) = |x- 2|- 1 [/tex]
using a graph tool
see the attached figure
So
1) the domain of the function is all real numbers-----> interval (-∞,∞)
2) the range of the function is the interval [-1, ∞)
3) the function decrease on the interval (-∞,2)
4) the function increase on the interval (2,∞)
5) the function has two x-intercepts-----> (1,0) and (3,0)
6) the function has one y-intercept-----> (0,1)
therefore
the graph in the attached figure
HELP I'M BEING TIMED FOR THIS TEST!!!
Which applies the power of a product rule to simplify (5t)^3?
A. (5t)^3 =5t^3
B. (5t)^3 = 3(5t) = 15t
C. (5t)^3 = 5^3 t^3 = 125t^3
D. (5t)^3 = 5^3t = 125t
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
Answer:
f(x) is a one to one function
Step-by-step explanation:
9. Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press? A. [ON/C] [68] [+] [75] [=] [5] [=] [62.50] [=] B. [68] [+] [75] [–] [62.50] [–] [5] [=] C. [ON/C] [68] [–] [5] [–] [62.50] [+] [75] [=] D. [68] [+] [75] [–] [5] [–] [62.50] [=]
it is C
she turns the calculator on, then enters her starting balance them subtracts both checks she wrote then added the deposit.
Find the values of x and y that make k || j and
m || n.
The values of x and y are 80 and 70 respectively which make k parallel to j and m parallel to n.
Geometrically, parallel means two or more lines, line segments, or rays that never intersect or cross each other, it doesn't matter how far they are extended. Parallel lines always maintain the same distance between them and remain equidistant at every point.
The sum of two adjacent angles is [tex]180^o[/tex],
therefore,
[tex](x-30)^o+(x+50)^o= 180^o[/tex]
2x +20 = 180
2x = 180 - 20
2x = 160
[tex]\frac{2x}{2} = \frac{160}{2}[/tex]
x = 80.
Again, as the sum of two adjacent angles is [tex]180^o[/tex],
[tex](x-30)^o+y^o= 180^o[/tex]
x + y = 180 + 30
Substitute value of x,
80 + y = 150
y = 150 - 80
y = 70.
Thus, x = 80 and y = 70 are the values for which k is parallel to j and m is parallel to n.
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Solve the equation. 4n−18=52
Answer:
solve the equation.
4n−18=52
n= 17.5