These are the sets you need to put in the Complex number system venn diagram.
The set of Rational Numbers: Q = {absolute value| a and b are integers and not equal}
The set of Irrational Numbers: I = {x | x is a real number that is not rational}
The set of Imaginary Numbers: 5i
& The Set Of Real Numbers
Answers
Solution: The venn diagram will be completed as shown in the given figure.
Explanation:
There are many types numbers. The set of numbers are defined below.
Complex Numbers: The complex are the addition of real and imaginative numbers. it is represented as a+bi, where a is a real number and b is an imaginary number.
Imaginary Numbers: The imaginary numbers are those numbers which are not real numbers. For example [tex]\sqrt{-2}[/tex].
Real Numbers: All numbers in the number system( fractional, roots, positive, negative, decimal, etc) are real numbers. For example 2.1 and 5 etc. Real numbers are categorized in two parts rational and irrational numbers.
1) Irrational numbers: The number which can't expressed in the form of are called irrational numbers. For example [tex]\sqrt{2}[/tex] and [tex]\sqrt{7}[/tex] etc.
2) Rational numbers: The number which can be expressed in the form of are called irrational numbers. For example 5 and -5.2 etc. It is categorized in two parts fractional and integer numbers.
3)Integer numbers: The rational number which has no decimal value is called integer numbers. For example-8,-2, 0, 5,7 and 100 etc.
4) Whole Numbers: The set of all positive integers including 0 is called known as the set of whole numbers.
5) Natural Numbers: All Whole numbers except 0 are known as natural number.
Related Questions
You have an allowance of $12.00. You buy a discount movies ticket that costs at least $3.50 and popcorn that costs $2.75. HOw much do much do you have for other spending?
Answers
Given
You have an allowance of $12.00
discount movies ticket that costs at least $3.50
popcorn that costs $2.75.
Find out the how much do much do you have for other spending.
To proof
Let us assume that the money for the other spending be x.
As given
total allowance = $12.00
discount movies ticket that costs at least = $3.50
popcorn costs = $2.75
than the inequality written in the form
3.50 + 2.75 + x ≤ 12.00
6.25 + x ≤ 12.00
x ≤ 5.75
you have money for other spending is atmost 5.75
when the movies ticket that costs at least $3.50
Hence proved
Final answer:
After purchasing a discounted movie ticket for at least $3.50 and popcorn for $2.75 from an allowance of $12.00, the student will be left with $5.75 for other spending.
Explanation:
The student is given a scenario involving budgeting and calculating remaining allowance after certain purchases. To find out how much money is left for other spending after purchasing a discounted movie ticket and popcorn, we subtract the total cost of these items from the initial allowance.
If the student has an allowance of $12.00 and buys a movie ticket for at least $3.50 and popcorn for $2.75, the calculation for the remaining allowance will be as follows:
Minimum amount spent on movie ticket: $3.50Amount spent on popcorn: $2.75We add these two amounts to find the total spent:
Total spent = $3.50 + $2.75 = $6.25
We then subtract the total spent from the initial allowance:
Remaining allowance = $12.00 - $6.25 = $5.75
Therefore, the student will have $5.75 left for other spending.
1. Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable
2.What
is the best estimate for the average cost of tuition at a 4-year institution
starting in 2000.
3.What
is the best estimate for the average cost of tuition at a 4-year institution
starting in 2020. (Hint: Use the graph from desmos, or your equation from part
A).
4. What
does the slope mean in context of the situation?
5. Most
students are not able to afford this tuition for 4 years. What are some ways
that you can lower the cost of your college tuition? If you don’t plan to
attend college, what things can do you post- HS graduation to continue your
education or provide for yourself financially?
Answers
Hello,
Please, see the attached files.
Thanks.
Find the minimum value of C=-2x+y subject to the following constraints x≥-5 x≤4 y≥-1 x≤3
Answers
Answer:
The minimum value of C is -9
Step-by-step explanation:
we have
[tex]C=-2x+y[/tex]
[tex]x\geq -5[/tex]
[tex]x\leq 4[/tex]
[tex]y\geq -1[/tex]
[tex]y\leq 3[/tex]
using a graphing tool
The solution is the shaded rectangle
see the attached figure
The vertices of the rectangle are the points
[tex](-5,3),(4,3),(4,-1),(-5,-1)[/tex]
To find the the minimum value of C, substitute the value of x and the value of y of each vertex and calculate the value of C, then compare the results
For [tex](-5,3)[/tex]
[tex]C=-2(-5)+3=13[/tex]
For [tex](4,3)[/tex]
[tex]C=-2(4)+3=-5[/tex]
For [tex](4,-1)[/tex]
[tex]C=-2(4)-1=-9[/tex]
For [tex](-5,-1)[/tex]
[tex]C=-2(-5)-1=9[/tex]
therefore
The minimum value of C is -9
the area of a triangle is 1,440cm2. the base of the triangle is 5 times the height what is the height of the triangle
Answers
Answer: 576
Step-by-step explanation:
To find the area of a triangle you do base times the height divided by two. Now that you have the area and the base you just have to do the opposite
So you would do 1,440*2 = 2,880
Then you would divide 2,880 from 5. 2,880/5=576
So the answer is 576
Which statement is true about polynomial 5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Answers
The polynomial 55° + 6st - 85° - 6t has 4 terms and a degree of 10 after it has been fully simplified.
To determine the number of terms in a polynomial, count the separate algebraic expressions that are added or subtracted. In this case, the polynomial is composed of four distinct terms: 55°, 6st, -85°, and -6t.
Next, the degree of a term in a polynomial is the highest power of its variable. Examine each term to identify the variable and its corresponding exponent. The term 55° has a degree of 0 since any nonzero constant raised to the power of 0 is 1. Both 6st and -6t have a degree of 2, as the variables s and t are raised to the power of 1. Lastly, the term -85° has a degree of 1.
To find the overall degree of the polynomial, identify the term with the highest degree. In this case, it is the term 6st, which has a degree of 2. Therefore, the fully simplified polynomial has four terms and a degree of 2, making the correct statement: "It has 4 terms and a degree of 10."
Complete question :-
Which statement is true about the polynomial 55° + 6st-85°-6t after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.
Which line has a slope of 0?
x=1
3y+6x=0
y=x
y=-5
Answers
Need help please hurry DON'T TYPE AND ACT LIKE YOUR GONNA ANSWER THE QUESTION IF YOUR NOT GOING TO who ever gets it right i will give you the brainiest!
good luck!
Answers
[tex]x-intercept(\frac{26}{3},0)
y -intercept (0,\frac{13}{2} )[/tex]
y is a lil messed up in term of looks but meh
have a good day breh
One and one half minus two and five six ths
Answers
Answer:
-8
Step-by-step explanation:
1 1/2 - 2 5/6 (multiply the denominator by the whole number, then add with the numerator)
3/2 - 17/6 (get the common denominator which is 6 in this situation and multiply that with the numerator)
9/6 - 17/6 = -8
Carson evaluated 23÷34 and got an answer of 89. Which statement is true about his answer?
Answers
Answer:
It is correct because 8/9x3/4=2/3
Step-by-step explanation:
10 ≥ 9 + v
Please show work!
Answers
Remember to isolate the variable. Subtract 9 from both sides
10 (-9) ≥ 9 (-9) + v
10 - 9 ≥ v
Simplify. Combine like terms
1 ≥ v
1 ≥ v is your answer
hope this helps
Remember, we want to work out what v is, which means we need to get it alone one one side of the inequality.
Therefore, we need to minus 9 from both sides so that the v is isolated:
10 - 9 ≥ 9 + v - 9
The 10 - 9 becomes 1, and the 9 + v - 9 just becomes v as 9 - 9 cancels out to nothing:
1 ≥ v
Therefore, the answer is 1 ≥ v, or rather, v ≤ 1. (v is less than or equal to 1.)
if you subtract 20 from twice a number the result is six what is the number
Answers
[tex]2x - 20 = 6[/tex]
[tex]2x = 6 + 20[/tex]
[tex]x = \frac{6 + 20}{2} [/tex]
[tex]x = 13[/tex]
The number is 13
Pooja's plant began sprouting 2days before Pooja bought it, and she had it for 98 days until it died. At its tallest, the plant was 30entimeters tall. H(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h? Choose 1 answer: Choose 1 answer:
Answers
Answer:
2 (less than or equal to) t (less than or equal to) 98, Real Numbers
Step-by-step explanation:
2 (less than or equal to) t (less than or equal to) 98, Real Numbers
:) hope this helps!
The domain of the function H(t), which models the height of a plant over time, would consist of integers ranging from -2 to 98 to represent each day of the plant's growth, including the two days before purchase.
Explanation:The question at hand is asking which type of number is more appropriate for the domain of a function, H(t), that models the height of Pooja's plant (in centimeters) t days after she bought it. The domain of a function includes all the possible inputs for the function, in this case, the number of days after Pooja bought the plant. Considering Pooja's plant sprouted 2 days before she bought it and lasted for 98 days, the best number type for the domain would be integers since the days are counted in whole numbers. However, if we include the 2 days before she bought it, the domain in context would be from -2 to 98. Therefore the domain would be {-2, -1, 0, 1, 2, ..., 98}, which are all integers.
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Solve the equation. 4n - 18 = 52
Answers
Equation step-by-step:
4n - 18 = 52 → we take -18 to the right side of the equation
4n = 52 + 18 → we solve for 52 + 18
4n = 70 → we take 4 to the right side of the equation
n = 70 / 4 → we solve for 70 / 4
n = 17,5 → final answer
Hope it helped,
BioTeacher101
One of the angles formed by two intersecting lines is 50° less than the other one. Find the measure of all angles.
Answers
Angle created by intersecting lines are 115° and 65°
Given that;
One angle is less than 50°
Find:
Measure of all angles
Computation:
We know that;
Sum of two adjacent angles = 180°
Assume;
One angle = a
So,
Another angle = a - 50
So,
a + (a - 50) = 180
2a - 50 = 180
2a = 230
a = 115°
another angle = 180 - 115
Another angle = 65°
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Which two square roots are used to estimate√8?
A. √2 and √3
B. √3 and √4
C. √4 and √9
D. √9 and √16
Which two square roots are used to estimate √42
A. √25 and √36
B. √36 and √49
C. √49 and √64
D. √25 and √64
Answers
Answer:
Option C.
Option B.
Step-by-step explanation:
By definition, the square of a number is that number times itself.
The square root of a perfect square is a whole number.
Since the square root of another number (not perfect square) is not a whole number, you can estimate it finding two perfect square roots that number is between.
1) Observe that 4 and 9 are perfect squares:
[tex]4=2^2\\9=3^2[/tex]
And 8 is between those numbers.
Therefore, the square roots [tex]\sqrt{4}[/tex] and [tex]\sqrt{9}[/tex] are used to estimage [tex]\sqrt{8}[/tex]
2) Notice 36 and 49 are perfect squares:
[tex]36=6^2\\49=7^2[/tex]
And 42 is between those numbers.
Therefore, the square roots [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex] are used to estimage [tex]\sqrt{42}[/tex]
The square roots used to estimate √8 are √4 and √9 while the square roots to estimate √42 are √36 and √49.
Explanation:The two square roots that are used to estimate √8 are √4 and √9 since the value of √8 falls between the value of these two square roots (2 and 3). The reason why these are chosen is due to √8 being greater than √4 and less than √9. Similarly, the two square roots to estimate √42 are √36 and √49. The square root of 42 is more than the square root of 36 (which is 6) and less than the square root of 49 (which is 7). Therefore, to estimate the square roots, we find two perfect squares that the number falls between.
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Carlie spent $42 at the salon. Her mother loaned her the money. Carlie will pay her mother 15% of $42 each week until the loan is repaid. About how many weeks will it take carlie to repay her mother.
Answers
[tex] 2 \: r.12[/tex]
42÷15=2 r.12
These four elements are most likely in group 15. 16. 17. 18.
Answers
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Sam scored 20% of the teams 20 points. How many points did sam score
Answers
20% = 1/5
20/5 = 4
Sam scored 4 points
Answer:
4
Step-by-step explanation:
20% of 20 points would be 4 you can literally just type it into google
What is 3.56 * 10 with an exponent negative 5 in standard form
Answers
Answer: .0000356
Step-by-step explanation:
3.56 x 10⁻⁵
the exponent of 5 tells you to move the decimal 5 places
the negative sign tells you to move the decimal to the left.
Equation Given: 3.56 x 10^-5
Simple Explanatio: Lets start with this 10^-5 since the exponents is a negative you must subtract the exponent from the base and after you do so this is what your left with -5 and now since we have done the work lets rewrite the answer as 3.56 x 10^-5 the equation may not be changed but that's how i was told to do it and now solve. The decimal in 3.56 will be moved to the left five times because this equation has an negative exponent not a positive so you should end up with the simple answer of 0.0000356
Hopefully this helps ^0^
Select from the drop-down menus to correctly complete the sentence.
The rule (x, y)→(x+2, y−4) represents a translation 2 units CHOOSE.. and 4 units CHOOSE..
Left
Right
Up
Down
Answers
Answer:
for anyone in the future that needs this the answer is The rule (x,y) ----> (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN
Step-by-step explanation:
A translation is a transformation that moves every point in a figure in the same direction by the same amount. The rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units downwards
What is translation?A translation is a transformation that moves every point in a figure in the same direction by the same amount. It is also a sort of transformation in which each point in a figure is moved the same distance in the same direction resulting in the same figure again.
For any graph, if the value of x is increased it moves in the right direction while it moves in the left direction if the value is decreased.
Similarly, For any graph, if the value of y is increased it moves upwards while it moves in downwards if the value is decreased.
Now, as per the given rule of transformation, (x, y)→(x+2, y−4), the graph will translate 2 units right and 4 units downwards.
Hence, The rule (x, y)→(x+2, y−4) represents a translation 2 units right and 4 units downwards.
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Multiply (x-3(4x+2) using the distributive property.
Chose the answer below that shows the correct distribution
A.(x-3)(4x)+(4x)(2)
B.(x)(4x+2)+(x-3)
C.(x)(4x)+2(x)+4x+2
D.(x-3)(4x)+(x-3)(2)
Answers
D. (X-3)(4x)+(x-3)(2)
Answer:
[tex](x-3)(4x)+)x-3)(2)[/tex]
Step-by-step explanation:
Multiply [tex](x-3)(4x+2)[/tex] using the distributive property.
Distributive property is a(b+c) is a times b + a times c
Distribute a inside the parenthesis
When we are given with two parenthesis , we distribute first parenthesis inside the second parenthesis
In the given expression, distribute (x-3) inside the second parenthesis
[tex](x-3)(4x+2)[/tex]
[tex](x-3)(4x)+)x-3)(2)[/tex]
To find 12times 13 i double 13and halve 12and then multiply.
Answers
We already know 12 x 12 =144. So all you could do isis add 12 to 144 to get your complete answer. Which is:
12 x 13 = 156
Please help!
The equation x² + y² − 2x + 6y + 3 = 0 is equivalent to...
A. (x − 1)² + (y + 3)² = −3
B. (x − 1)² + (y + 3)² = 7
C. (x + 1)² + (y + 3)² = 7
D. (x + 1)² + (y + 3)² = 10
Answers
[tex]x^{2} - 2x + 1 + y ^{2} + 6y + 2[/tex]
The equation x² + y² − 2x + 6y + 3 = 0 is equivalent to (x − 1)² + (y + 3)² = 7
Equation of a circle
The standard equation of a circle is expressed as
x² + y² + 2gx + 2fy + C = 0
Given the equation x² + y² − 2x + 6y + 3 = 0. Using the completing the square method to write its equivalent
x² - 2y + y² + 6y + 3 = 0
( x² - 2y + 1) - 1 +(y² + 6y + 9) - 9+ 3 = 0
(x-1)² - 1 +(y + 3)² - 6 = 0
(x-1)² + (y + 3)² = 7
Hence the equation x² + y² − 2x + 6y + 3 = 0 is equivalent to (x − 1)² + (y + 3)² = 7
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Given that m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
Is there enough evidence to prove that . If so, explain.
(3 points)
Answers
The given figure is a rectangle.
Given angles are- m∠BDC = 47°, m∠CAB = 52°, and m∠BEC = 99°
The sum of the angles m∠BDC = 47°, m∠CAB = 52° is the measure of m∠BEC which is 99°
This is sufficient to prove. Measure of angle A and D are 90 degrees each as they are right angles triangles. So, inner angle A is 90-52 = 38 degrees. Inner angle D will be 90-47 =43 degrees.
Measure of triangle AED = 180 degrees
Let inner E = x
then, 38+43+x=180
x=99 degrees
Outer E and inner are vertical angles and so, they are same.
Moreover, triangles AED and BEC are same so E is 99 degrees
Grady marks down some $4.59 pens to $4.09 for a week and then marks them back up to $4.59. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percents of change the same for both price changes? If not, which is a greater change? Complete the explanation, and round your percents to the nearest tenth.
Answers
The percentage decrease in price from $4.59 to $4.09 is 10.9%, while the percentage increase from $4.09 to $4.59 is 12.2%. Therefore, the percentages of change are not the same and the percentage increase is a greater change.
Explanation:To calculate the percentage decrease in price from $4.59 to $4.09, we subtract $4.09 from $4.59, then divide by the original price of $4.59, and multiply by 100: (($4.59 - $4.09) / $4.59) * 100 = 10.9%. Therefore, the percentage decrease is 10.9%.
For the percentage increase from $4.09 back to $4.59, we similarly subtract $4.09 from $4.59, divide by the 'new' original price of $4.09, and multiply by 100: (($4.59 - $4.09) / $4.09) * 100 = 12.2%. Therefore, the percentage increase is 12.2%.
The resultant decrease and increase percentages are not the same. The percentage increase of 12.2% is a greater change compared to the 10.9% decrease.
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Shaniqua has $45 in her wallet she spends $4 on snacks and $8 on a movie ticket what integer represents the change in the amount of money in shaniquas wallet how much money is left?
Answers
8+4=12
Since we are trying to find out how much was deducted from the wallet, make 12 negative
integer: -$12
45-12=33
$33 left
The integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The integer will be calculated as:-
The amount deducted is
8 + 4 = 12
Since we are trying to find out how much was deducted from the wallet, make 12 negative
integer: -$12
45 - 12 = $33
Therefore the integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33.
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50 Points
The graph shows the relationship between time and distance as Pam rides her bike. During which time period was the rate of change the greatest?
A) 0 to 5 minutes
B) 5 to 15 minutes
C) 5 to 20 minutes
D) 20 to 35 minutes
Answers
The time period which has the greatest rate of change is from 0 to 5 minutes, because the steeper the line is, the greater the slope is. Hope this helps!
[tex]0-5\ min\\\\\dfrac{3\ km}{5\ min}=0.6\ \dfrac{km}{min}\\\\5-20\ min\\\\\dfrac{(4-3)\ km}{(20-5)\ min}=\dfrac{1\ km}{15\ min}\approx0.067\ \dfrac{km}{h}\\\\20-35\\\\\dfrac{(6-4)\ min}{(35-20)\ min}=\dfrac{2\ km}{15\ min}\approx0.133\ \dfrac{km}{min}\\\\0.067 < 0.133 < 0.6\\\\Therefore\ your\ answer\ is: A)\ 0\ to\ 5\ minutes[/tex]
Using the variable x, translate the sentence into an equation. Solve the resulting equation.
the sum of 4 and a number is 18
Answers
Please help and show work!!
Answers
12 - x < 8
add x to both sides
12 - x + x < 8 + x
12 < 8 + x
re-write
8 + x > 12
Subtract 8 to both sides
8 + x - 8 > 12 - 8
x > 4
The graph B is matching the answer (x > 4)
So answer is B.
Let's solve your inequality step-by-step.
12−x<8
Step 1: Simplify both sides of the inequality.
−x+12<8
Step 2: Subtract 12 from both sides.
−x+12−12<8−12
−x<−4
Step 3: Divide both sides by -1.
−x
−1
<
−4
−1
x>4
Answer:
x>4
NOTE step 3 i was tryna do a fractions it aint work out so good soo i like added a pic
the table describes the types of job openings available in a company. what is the probability that experience is needed for a randomly selected job opening, given that it is for part time work?
Answers
Answer:
42%
Step-by-step explanation:
We will use the conditional probability in this case
We use conditional probability when two cases occur are dependent.
So by using:
[tex]\frac{P(A\capB)}{P(B)}[/tex]
Here, A is the event of experience needed.
And B is the event of part-time
Substituting the values in the formula we get:
[tex]\frac{6}{14}=.42[/tex]
Intersection of experience needed and part-time is 6
And part-time total is 6+8=14
To get in percent we will multiply it by 100
42% is the required probability.