Answers
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
Related Questions
select all the ways you can describe the given polygon
Answers
Answer:
Isoceles and obtuse
Step-by-step explanation:
Hi guys im stuck on this maths question
(2/5)^-3
Answers
Answer:
15.625
Step-by-step explanation:
Answer:
[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]
One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers
Answers
The two numbers are 1 and 1.
Let the non-negative number be x and its reciprocal be y = 1/x
The sum of the two numbers is f(x,y) = x + y
= x + 1/x
= f(x)
For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.
So, df(x)/dx = d(x + 1/x)/dx
= dx/dx + d(1/x)/dx
= 1 - 1/x²
Equating it to zero, we have
1 - 1/x² = 0
1 = 1/x²
x² = 1
Taking square-root of both sides, we have
x = ±√1
x = ±1
Since x is non-negative x = + 1
We differentiate f(x) again to determine if this value gives a minimum for f(x).
So, d²f(x)/dx² = d(1 - 1/x²)/dx
= d1/dx - d(1/x²)/dx
= 0 - × (-2/x³)
= 2/x³
Substituting x = 1 into the equation,
d²f(x)/dx² = 2/x³
= 2/1³
= 2 > 0.
So x = 1 is a minimum point for f(x)
Since x = 1 and y = 1/x, y = 1/1 = 1
So, the two numbers are 1 and 1.
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Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answers
Answer:
1 oz = 29.574 ml
16 oz = About 480 ml, so, yes, the answer is C.
Step-by-step explanation:
negative seven times a number is negative two hundred forty five. what is the number?
pleasee i need help
Answers
Answer:
35
Step-by-step explanation:
since i couldn't answer before
(?)(3x — 2)= 24x^2 — 16x
Answers
[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]
CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!
Answers
Answer:
10 units
Step-by-step explanation:
Area of smaller ∆ ,
= 1/2 * 2 * 2 = 2 u
Area of larger ∆ ,
= 1/2 * 4 * 4 = 8u
Total area = 8u + 2u = 10 units
Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?
Please give a walk through ty
Answers
Answer:
15% of 40 is 6
9514 1404 393
Answer:
$6
Step-by-step explanation:
15% is the ratio of the price increase to the original price.
As a fraction 15% = 15/100 (fifteen hundredths).
As a decimal, 15% = 0.15 (fifteen hundredths).
__
The statement about the price increase is telling you ...
(increase)/(original) = 0.15
Multiplying by the original price, we get ...
(increase) = 0.15×(original) = 0.15 × $40 = $6.00
The price of the shirt went up $6.00.
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answers
Answer:
56 boxes
Step-by-step explanation:
1. First subtract 14 from 126 to get 112 boxes
2. Now divide 112 by 2 to get Victoria's total of 56
would you treat the following items as assets in the accounts of a company? 1- A box file 2-A computer 3-A plastic display stand
Answers
An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:
1. A box file - It is an asset.
2. A computer - It is an asset.
3. A plastic display stand - It is not an asset.
An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.
A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.
The items given in the question can be categorized as follows:
1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.
2. A computer - It is an asset. The computer would be used for more than one accounting period.
3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.
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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answers
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?
Answers
Answer:
7feet I hope this help you.
WILL MARK AS BRAINLIEST IF CORRECT
Answers
Answer:
A) 1/12
Step-by-step explanation:
for every 1 that x increase f(x) increases 12
Answer:
1
Step-by-step explanation:
what is the largest number you can make with these digits ? 2 5 9 6 answer _____________
Answers
Hello, hope you are having a splendiferous day.
Here are the numbers you can make with these 4 digits:
2596
6952
2965
5629
And so on.
However, the largest number we can make using these digits is
9652
Hope it helps. Glad to help.
Ask me if you have any queries.
Carry On Learning
~An emotional teen who helps others with joy
Good luck.
no link no bot fast right please is it inch or inch 2
Answers
Answer:
its just inch
Step-by-step explanation:
you would multiply the 3 and the other three and you would get 9
A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red
Answers
Answer:
total marbles;12
after drawing red total counts are 7 red and 4 white 11 in total
probabilities are 4/11
g A long-term study has revealed that a test for cancer in men is very effective. The study shows that 89% of the men for which the test is positive actually have cancer. If a man selected at random tests positive for cancer with this test, what is the probability that he does not have cancer
Answers
14. Find three consecutive odd integers such that the product of the first and the third is 13 less
than ten times the second integer.
Answers
Answer:
1 ale 2 no se 3 saca de tu mente 4
In a regression model of student grades, we would code the nine categories of business courses taken (ACC, FIN, ECN, MGT, MKT, MIS, ORG, POM, QMM) by including nine binary (0 or 1) predictors in the regression. Group startsTrue or False
Answers
Binary predictors are simply used to represent dummy variables in regression.
The statement that the nine categories can be coded by nine binary predictors is false.
Binary predictors can only take any of the two binary values (0 and 1).
This means that, the nine categories cannot be represented using binary values or predictors
This is so because, the number of categories (9) is greater than the number of predictors (2).
Hence, the given statement is false
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How do you solve linear equations using the distributive property?
Answers
Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax+b=c
Step-by-step explanation:
Answer:
solving equations using distributive property. We'll guide you through two ways that the following question can be solved.
Question: 11.32 = 8(0.61 + x)
Solution 1:
11.32 = 8(0.61+x)
Divide both side by 8, you get 1.415 = 0.61 +x
Minus both side by 0.61, 0.805 = x
In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.
Solution 2:
11.32 = 8(0.61+x)
Open up the right side, you get 11.32 = 4.88+8x
Minus both side by 4.88, you get 6.44 = 8x
Divide both side by 8, you get 0.805 = x
In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.
A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.
Answers
The speed at which he walks is 7.7km/hr
The formula for calculating the distance is expressed as;
distance = speed * time
Let the speed moved by the man be x
If the man walks for 2 hours at a certain speed, his distance will be 2x km
If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr
If he goes 77km altogether, hence;
2x + 4(2x) = 77
2x + 8x = 77
10x = 77
x = 77/10
x =7.7km/hr
Hence the speed at which he walks is 7.7km/hr
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8 9/10 - 3 2/3 = Plz answer
Answers
Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.
Explanation:
{8(9/10)} - {3(2/3)}
Convert all mixed fractions to proper fractions.
= {(80+9)/10} - {(9+2)/3}
Now, add the both numerators.
= (89/10) - (11/3)
LCM of 10 & 3 is 30.
= {(89*3)/(10*3)} - {(11*10)/(3*10)}
Now, multiply the numerator and denominator of all fractions.
= (267/30) - (110/30)
Write all numerators with common denominator.
= {(267-110)/30}
Subtract the fraction and write it in simplest form.
= 157/30
Write the obtained answer in the form of mixed fraction.
= {5(7/30)}.
also read similar questions: 5/7 + 3 2/5 = 5/9 + 2 4/7 = 6 2/6 + 4/11 = 10 2/3 + 5 1/4 = 9 1/2 + ....
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Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.
Answers
Answer:
∠RQT = 23.5
∠PQR = 133°
Step-by-step explanation:
Question 1Step 1 - Add angles together:
As all angles on a straight line must add up to 180°:
3x - 5 + x + 1 = 180
Add like terms together
3x + x - 5 + 1
4x - 4 = 180
Step 2 - Add 4 to both sides of the equation:
4x - 4 + 4 = 180 + 4
4x = 184
Step 3 - Divide both sides by 4:
[tex]\frac{4x}{4} = \frac{184}{4}[/tex]
x = 46
∠RQS = x + 1
∠RQS = 46 + 1
∠RQS = 47
Given the ray QT bisects ∠RQS, the angles must be the same on either side so:
47 ÷ 2 = ∠RQT
∠RQT = 23.5
Question 2As we know the value of x:
∠PQR = 3x - 5
Plug known values in:
3x - 5
3(46) - 5
138 - 5
∠PQR = 133°
This can also be calculated by subtracting known angle ∠RQS from 180:
180 - 47 = 133.
Hope this helps!
If a rope four yards long is cut into three equal pieces, each piece will be A. 4feet B. 3 1/2 feet C. 3 1/3 D. 3 feet E. 2 1/4 feet
Answers
Answer:
A 4 Feet
Explanation 4yards=12feet 12 divided by 3=4
gemomtry plz help 15 points
Answers
Answer:
DE = 5x-12 (base angles of isos triangle)
The box-and-whisker plot below represents the ages of 12 people.
What percent of these people are age 15 or older?
5
+ + + + + +
10 15 20 25 30 35 40 45 50 55
25
B 35
© 75
0 85
Answers
The box and whiskers plot visually presents the ages of the 12
The percentage of the 12 people older than 15 is 75%Reasons:
The five number summary from the box and whiskers plot is presented as follows;
Minimum value = 7.5
Maximum value = 50
Lower quartile, Q₁ = 15
Upper quartile, Q₃ = 40
Median, Q₂ = 32.5
The first quartile is equivalent to the 25th percentile
Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;
Percent older than 15 = 100% - 25% = 75%
The correct option is 75%
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f(x) =2^x−4
g(x) = 5/x
evaluate g(f(2))=
Answers
Answer:
not possible
Step-by-step explanation:
f(2)=2^2-4=0
g(f(2))=5/0 it's not possible
WILL GIVE BRAINLIEST
(4x - 5) m
(7x - 17)m
(2x + 3) m
The perimeter of this triangle is
m.
Answers
Answer:
The perimeter of triangle is 33 meters.
Step-by-step explanation:
Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:
7x - 17 = 4x - 5
7x - 4x = 17 - 5
3x = 12
x = 12 ÷ 3
x = 4
OR:
4x - 5 = 2x + 3
4x - 2x = 3 + 5
2x = 8
x = 8 ÷ 2
x = 4
Substitute x = 4 into all expressions:
7x - 17 = 7(4) - 17 = 11 meters
4x - 5 = 4(4) - 5 = 11 meters
2x + 3 = 2(4) + 3 = 11 meters
In order to find out the perimeters, you have to add up all the sides:
P = 11 + 11 + 11
P = 33 meters
Answer:
p = 33 m
Step-by-step explanation:
Since this is an equalateral triangle all the sides are equal
-----------------------------
set any two sides equal
7x - 17 = 2x + 3
subtract 2x from both sides
5x - 17 = 3
add 17 to both sides
5x = 20
Divide both sides by 5
x = 4
------------------------------
Find the length of any side
s = 2x + 3
s = 2(4) + 3
s = 11
-----------------------
the perimiter is the three times any side
p = 3s
p = 3 * 11
p = 33 m
Can someone help? anyone?
Answers
Answer:
The right answer is letter C.
Step-by-step explanation:
I hope it's help
have a nice day and night
6. Simplify: -7(3x) + 2(3x – 2). What is the value of the expression if x = 4
Answers
Answer:
its x
Step-by-step explanation:sus?