The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i=
Answer:
i = [tex]\sqrt{-1}[/tex]
Step-by-step explanation:
A complex number is that one having two parts:
One called real part, represented by a.And another called imaginary part, represented by bi, where b is also a real number plus i, as it was describe in the answer [tex]i = \sqrt{-1}[/tex].Although [tex]i =\sqrt{-1}[/tex], it is also [tex]i^{2} = -1[/tex], which has some interesting properties like [tex]i^{3}[/tex] = [tex]i * i^{2}= i * -1 = -i [/tex] , and so on.
These numbers came along when it was necessary to take the squared root of negative numbers:
[tex]\sqrt{-4} = \sqrt{-1} * \sqrt{4} = 2i ; -2i[/tex] .
Please help! 3 questions, 1. Determine if the ordered pair is a solution of the equation. Is (-1,-30) a solution of y =10x?: a) True b) False
2.The point (5, -1) is a solution of the equation: y = 2x − 11 options: a) True b) False 3.Which ordered pairs are a solution to the equation? y = 8x options: a) (-1,-7) b) (2,16) c) (1,8) d) (-2,-6)
Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 12z - 3 ≥ 2z - 15
which inequality best represents the situation of you must be at least 52 inches tall to ride the water ride
Answer:
Option C is the correct choice.
Step-by-step explanation:
We have been given a graph and we are asked to find the correct option which represents the inequality for the situation of one must be at least 52 inches tall to ride the water ride.
At least 52 inches means one should not be less than 52 inches. This means the length of one should be 52 inches or any number greater than 52 inches.
Let us see our given inequalities one by one.
A) Our first inequality represents height less than or equal to 52, which means that one should be at-most 52 inches, therefore, 1st inequality is not true for our given situation.
B) Our 2nd inequality represents height less than 52, therefore, 2nd inequality is not true for our given situation.
C) We can see from our inequality represented in option C that height is greater than or equal to 52 inches. It is including 52 (at least) and greater heights than 52, therefore, option C is the correct choice.
D) Option D shows an inequality that represents heights greater than 52 as it is not including 52, therefore, option D in not a correct choice.
shana wants to make a birthday cake for her mother. her old fashioned recipe calls for 3/12 Of a teaspoon of salt but she only has measuring spoons that use fourths. How many fourths of a teaspoon should she use ?
I get 2/4 because I did 1/4 of 3/12
The answer is 1/4ths because if you do the equation correctly you get 1/4.
Your welcome
Use the following graph to determine which function is best modeled on the graph.
Thomas collects dimes and quarters in his change jar. if he has 8 more dimes than quarters, and the total amount of money in the jar is $26.70, find the number of each type of coin in the jar.
Using algebraic expressions, we figured out that Thomas has 74 quarters and 82 dimes in his change jar, based on the total value of $26.70 and the fact that he has 8 more dimes than quarters.
Explanation:To solve the problem involving the collection of dimes and quarters in Thomas's change jar, we need to use algebra. Let's define the variables first: let q be the number of quarters and q + 8 be the number of dimes since Thomas has 8 more dimes than quarters.
Since each quarter is worth $0.25 and each dime is worth $0.10, we can set up the following equation to represent the total amount of money ($26.70):
0.25q + 0.10(q + 8) = 26.70
Now, we simply solve for q:
Multiply each term within the parenthesis by 0.10:0.25q + 0.10q + 0.80 = 26.70Combine like terms:0.35q + 0.80 = 26.70Subtract 0.80 from both sides to isolate the variable term:0.35q = 25.90Divide both sides by 0.35 to find q:q = 25.90 / 0.35q = 74Therefore, Thomas has 74 quarters. To find the number of dimes:
q + 8 = 74 + 8 = 82
Thus, Thomas has 82 dimes.
Thomas's change jar has a total of 74 quarters and 82 dimes.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 108.7-cm and a standard deviation of 0.6-cm. For shipment, 22 steel rods are bundled together.
Find the probability that the average length of rods in a randomly selected bundle of steel rods is less than 109.1-cm.
Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.
Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)
To get the probability of less than 109.1 cm, the solution is computed by:
z (109.1) = (X-mean)/standard dev
= 109.1 – 108/ 0.6
= 1.1/0.6
=1.83333, look this up in the z table.
P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%
If 2(m-10) +2=24, then m= ?
A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin. What are the coordinates of this point? Use the drop-down menus to enter the coordinates below.
The coordinates of the point are
(
( ,
)
)
This question is based on the coordinates of a plane. Therefore, ( 3, 0) and ( 0, 7) are coordinates of this points.
Given:
A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin.
We need to determined the coordinates of the points.
According to the question,
It is given that, 3 units to the right of the origin means that, 3 units on positive x - axis.
As we know that,
On x -axis, y is equal to zero.
Therefore, the co-ordinate of this point is located on ( 3, 0).
Now, 7 units to the above the origin means that, 7 units on positive y - axis.
As we know that,
On y -axis, x is equal to zero.
Therefore, the co-ordinate of this point is located on ( 0, 7).
Hence, ( 3, 0) and ( 0, 7) are coordinates of this points.
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write two equations for a horizontal line and a vertical line.
Which statement is true about this argument?
Premises:
If two lines are parallel, then the lines do not intersect.
Lines m and n do not intersect.
Conclusion:
Lines m and n are parallel.
Which statement is true about the argument?
The argument is not valid because the premises are not true.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of detachment.
The argument is valid by the law of syllogism.
I have another Brainliest ☺
A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.
Which shows the correct values for the variables in the table?
A. a = 18, b = 34, c = 65
B. a = 34, b = 18, c = 68
C. a = 34, b = 68, c = 47
D. a = 47, b = 18, c = 68
Answer:
The answer is B on edge 2020.
Step-by-step explanation:
Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a^2?
A.22.63
B.54.63
C.9.37
D.3.10
What is the volume of the composite figure?
volume of a sphere is 4/3 * PI * r^3
r = 6
r^3 = 6^3 = 216
4/3 * 216 = 288
Volume = 288 PI in^3
@ sitora @jyoung HELPPPPP PLEASE WILL GIVE BRAINLEST AND THANKS
1. first question : The graph shows a predicted population as a function of time.
Choose the one statement below that is true about this graph.
The initial population was more than 500.
The graph shows the population decreasing without bound.
The graph has an x-intercept and a y-intercept.
The graph shows quadrant III because only negative values make sense for this situation.
Based on the graph, it is predicted that it will take more than 3 years for the population to be greater than 500.
2. question
Let f(x)=3x
.
Let g(x) = 3x−2+5
.
Which two statements describe the graph of g(x) with respect to the graph of f(x)?
g(x) is translated 2 units right from f(x).
g(x) is translated 2 units left from f(x).
g(x) is translated 5 units down from f(x).
g(x) is translated 5 units up from f(x).
3. What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5x
?
g(x)=1.5x−2
g(x)=1.5x−2
g(x)=−2(1.5)x
g(x)=−3(1.5)x+1
4. The exponential function in the graph shows the population of Greeville in the years since 2010.
What real-world information is given by the point (6, 2707)?
Question 7 options:
The population in 2006
The population in 2010
The population in 2016
The year in which the population is twice the population in 2010
5. What is the average rate of change of the function below on the interval from x = 0 to x = 2?
f(x)=250(0.5)x
Question 8 options:
-93.75
62.5
0
-0.25
6. On the same day, Maysa and Ethan each bought one baseball card from a baseball card store.
The equation f(x)=2x+5
represents the value of Maysa's baseball card, in dollars, x years later.
The graph above shows the value of Ethan's baseball card, in dollars, x years later.
Select the one correct statement below.
Question 10 options:
When they bought their baseball cards, Maysa's card was worth $4 more than Ethan's card.
When they bought their baseball cards, Maysa's card was worth $5 more than Ethan's card.
When they bought their baseball cards, Ethan's card was worth $4 more than Maysa's card.
When they bought their baseball cards, Ethan's card was worth $5 more than Maysa's card.
4. Answer: The population in 2016.
5. Answer: -93.75
6. Answer: When they bought their baseball cards, Maysa's card was worth $4 more than Ethan's card.
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I hope this helps you, baii <3
Rachel budgeted 76.50 for school clothes. this is only 0.45 of her total budget. how much does she have in her total budget
if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to right?
If the x-intercept of a line is positive and the y-intercept is negative, the line will slant downwards from left to right.
Explanation:The line will slant downwards from left to right. The x-intercept being positive means that the line crosses the x-axis at a point to the right of the origin. The y-intercept being negative means that the line crosses the y-axis at a point below the origin. Since the slope of a line represents the direction and steepness of the line, a positive slope combined with a negative y-intercept indicates a line that slants downwards.
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Please help and show all work.
Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost, including an 18% tip.
Which expression is equivalent to the amount Miko paid?
A. (1+0.18)16
B. 16+0.18(16)
C. 16 + 1.18
D. 1+0.18(16)
Please explain your answer
Answer:
D) 16 + 0.18(16)
Step-by-step explanation:
If you flip the graph of the quadratic parent function, f(x) = x2, over the x-axis, what is the equation of the new function?
A. g(x) = –x2
B. g(x) = x–2
C. g(x) = (–x)2
D. g(x) =
Answer:
A. [tex]g(x)=-x^2[/tex]
Step-by-step explanation:
In flipping across x-axis a function gives its mirror image through the x-axis,
That is, when a function f(x) is flipped over x-axis,
Then the new function would be -f(x).
Here, the given function,
[tex]f(x)=x^2[/tex]
After flipping the function over x-axis,
[tex]g(x)=-f(x)[/tex]
[tex]\implies g(x)=-x^2[/tex]
Hence, option 'A' is correct.
Assume RST MNO. If MN = 6, NO = 7, and MO = 11, what is the length of RS?
Answer with explanation:
It is given that,
R ST ≅ M NO.
Also, MN=6 unit
NO=7 Unit
MO=11 unit.
When two triangles are congruent , their corresponding Sides and Angles are Congruent, that is equal.
So,Corresponding Side to MN is RS .
So, MN=RS
MN=6 unit
RS=6 unit
Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below.
What are the solutions of –x2 + 4x = x – 4?
A. –5 and 0
B. –5 and –1
C. –1 and 4
D. 0 and 4
c.-1 and 4 because thats where it intercepts
Evaluate the functions for the domain values indicated. a. p(x) = 3x + 14 for x = −5, 0, 4 b. h(t) = t2 = 5t for t = −2, 0, 5, 7 9. Consider the sequence −7, −3, 1, 5, 9, …. a. What is f(2)? b. What is f(5)?
A data set contains an independent and dependent variable. Which must be true of the data set if a linear function can be used to represent the data?
The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.
Answer:- The set must have a constant additive rate of change.
Explanation:-
Let X be a data set contains an independent and dependent variable.
The standard linear function is given by
[tex]y=mx+c[/tex] , where x is a independent variable and y is a dependent variable and m,c are the constants.
for m =1, y=x+c
for m=2, y=2x+c=x+x+c
for m=3, y=3x+c=x+x+x+c
1.Thus ,the set must have a constant additive rate of change.
2.The set must not have a constant multiplicative rate of change as the function will become exponential function given by [tex]y=Ab^X[/tex] which is not linear .
3.The values in the set can be positive or negative as the domain for linear function is the set of real numbers.
4.The values in the set must be increasing it is not necessary.
How can 52 over 9 be expressed as a decimal?
1. 4.3 with bar over 3
2. 4.7 with bar over 7
3. 5.3 with bar over 3
4. 5.7 with bar over 7
Answer:
so divide 52 divided by 9 and your awnser would be 5.7 with bar over 7 and the awnser would be the fourth one hope it helped.
Step-by-step explanation:
Answer:
D. 4. 5.7 with bar over 7
you sasy bacass
Step-by-step explanation:
you sasy bacass you sasy bacass you sasy bacass you sasy bacass
$10,000 is compounded semiannually at 12% interest for t years. what expression represents the amount of money after t years?
The expression that represents the amount of money after t years when $10,000 is compounded semiannually at 12% interest is [tex]10000(1.06)^{(2t)}[/tex].
The amount of money after t years can be represented by the following expression:
[tex]A = P(1 + \frac{r}{n})^{(n*t)}[/tex]
Where:
A is the amount of money after t years
P is the principal amount (initial investment), which is $10,000 in this case
r is the interest rate, which is 12% expressed as a decimal (0.12)
n is the number of times interest is compounded per year, which is semiannually (2 times per year)
Substituting the values into the expression, we have:
[tex]A = 10,000(1 + \frac{0.12}{2})^{(2*t)}[/tex]
Simplifying further, we get:
[tex]A = 10000(1.06)^{(2t)}[/tex]
Therefore, the expression that represents the amount of money after t years when $10,000 is compounded semiannually at 12% interest is [tex]10000(1.06)^{(2t)}[/tex].
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50 points! Write a compound inequality to represent all of the numbers between -4 and 6.
you want x >-4 and x<6
s0 the equation would be: -4<x<6
Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure (2y-10) find the value of x and y
Final answer:
To find the values of x and y, set up an equation by equating the two angles and solve for x and y using the given measures.
Explanation:
To find the values of x and y, we need to equate the two angles and solve for x and y.
According to the given information, the measure of one angle is 2x, while the measure of the other angle is 2y - 10.
Since the two angles are equal, we can set up the equation: 2x = 2y - 10.
Now, we can solve for x and y.
2x = 2y - 10
x = y - 5
So, the value of x is y - 5.
The values for x and y are found by solving the system of equations that arise from setting up the condition that two angles forming a linear pair add up to 180 degrees and are equal. The solution is x = 45 and y = 50.
Explanation:The student's question involves finding the values of x and y when two lines intersect to form a linear pair with equal measures. Since the angles form a linear pair, they add up to 180 degrees. Therefore, we must set up an equation 2x + (2y - 10) = 180 to find the values of x and y. Because the question tells us the angles are equal, we also know that 2x = 2y - 10. Solving this system of equations will provide the values for x and y.
To solve for x, we can use the second equation directly, 2x = 2y - 10. Since the angles are equal, we substitute the first angle's measure for the second, meaning x = y - 5. Then, we can substitute x into the first equation: 2(y - 5) + 2y - 10 = 180, simplifying it to 2y - 10 + 2y - 10 = 180, which further simplifies to 4y - 20 = 180. Finally, adding 20 to both sides and then dividing by 4 gives us y = 50. With the value of y, we can then find x: x = y - 5, so x = 50 - 5, meaning x = 45.