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
A bakery sells 1/2 dozen cookies for $6.48. At this rate, how much would it cost for 3 dozen cookies?
Answers
Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answers
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.
Answers
Answer:
1.79
Step-by-step explanation:
^p = x/n
= 260/500
= 0.52
z = p1-p2 / √^p(1-p)/n
= 0.52 - 0.48 / √0.48x(1-0.48)/500
= 1.79
6 Cyclist A travels 55 km in 2 hours and 20 minutes.
Cyclist B travels 135 km in 5 hours and 36 minutes.
Which cyclist is travelling faster?
Answers
cyclist a speed is d = v × t
so you can find velocity of a and b.
then compare them both.
What would the answer be
Answers
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
Lin's family has completed 30% of a trip, they have travelled 45 miles. How far is the trip?
Answers
Answer:
2 hours
Step-by-step explanation:
Answer:
150 miles
Step-by-step explanation:
45/3=15
15*7=105 15*3=45
105+45=150
15*10=150
:)
The function B is defined by the equation B(x)=10x+25
Find the value of each expression:
B(6)=
B(2.75)=
B(1.482)=
Solve each equation:
B(x)=93; x=
B(x)=42.1; x=
B(x)=116.25; x=
Answers
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
The value of each expression is given below,
B(6)=85
B(2.75)=52.5
B(1.482)=39.82
Value of x for each expression,
B(x)=93; x=6.8
B(x)=42.1; x=1.7
B(x)=116.25; x=9.125
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is B(x)=10x+25.
The value of each expression will b calculated as,
10(6) + 25 = 60 + 25 = 85
10(2.75) + 25 = 27.5 + 25 = 52.5
10(1.482) + 25 = 14.82 + 25 = 39.82
93 = 10x + 25 || 68 = 10x || x = 6.8
42.1 = 10x + 25 || 17.1 = 10x || x = 1.71
116.25 = 10x + 25 || 91.25 = 10x || x = 9.125
To know more about an expression follow
https://brainly.com/question/14161914
#SPJ2
How many solutions −2(+1)=2+5
Answers
Answer:
no solutions
Step-by-step explanation:
-2+1=2+5
-1=7
-1 does not equal 7 so there are no solutions
-4v - 5 = -53 help me please
Answers
Answer:
v=12
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-4*v-5-(-53)=0
Pull out like factors :
-4v + 48 = -4 • (v - 12)
Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : v-12 = 0
Add 12 to both sides of the equation :
v = 12
To check yourself:
-4(12)-5 = -53
Answer: v = 12
Step-by-step explanation:
-4v - 5 = -53
add 5 to both sides
-4v = -48
divide both sides by -4
v=12
Use logarithms to find the exact solution for 7(17^−9)−7=49.
Answers
EXPLANATION:
1. Apply logarithm to both sides of the
equation. If one of the terms has base 10,
use common logarithm, otherwise, use
natural logarithm
2. Use the different properties of logarithms
to solve for the variable.
17
-92 _ 7 = 49
7.17-92 = 56
17-92 = 8
10g17(8)
-92
2
log, 7(8)
-9
log(8)
log(17)
-9
I=
-0.082
2 of 3
Add both sides by 7
Divide both sides by 7
Convert to logarithm
Divide both sides by - 9
solve pls brainliest
Answers
Answer:
7
Step-by-step explanation:
How does insurance reduce social burden?
A. Insurance ensures that people don't have to pay high deductibles.
B. Insurance ensures that losses are not passed on to society.
C. Insurance ensures that lenders publicize rates and treat all
customers equally.
D. Insurance ensures that people are treated fairly in hiring and
employment decisions.
Answers
Answer:
c po is the correct aswer
Step-by-step explanation:
correct me if im wrong hope it's help
thanks
Answer:
B. Insurance ensures that losses are not passed on to society
Hope this helps :)
slope of thissss
please help
Answers
-0.66
Step-by-step explanation:
can u mark me a brainliest
A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?
Answers
Answer:
Step-by-step explanation:
So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?
We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.
Numeros comprendidos entre 20
Answers
One, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, and nineteen/Uno, dos, tres, cuatro, cinco, seis, siete, ocho, nueve, diez, once, doce, trece, catorce, quince, dieciséis, diecisiete, dieciocho y diecinueve
How many pounds are in 1 1/2 pounds and 8 ounces?
Answers
Answer:
2 pounds
Step-by-step explanation:
Because 8 ounces = 0.5 pounds
1.5+0.5=2
math help please :) thxx
Answers
Answer: 15 inches
Step-by-step explanation:
15 × 1 ÷ 12 = 1.25 ft
1.25 ft = 1.25 × 12 = 15 in
Use synthetic division to find the result when 3x^3 + 4x^2 - 5x - 2 is divided by x + 2
Answers
Check the picture below.
please help me completing square
x^²+2x-24=0
Answers
Answer:
Step-by-step explanation:
x² + 2x -24 = 0
delta = 2² - 4*1*(-24)
delta = 4 + 96
delta = 100
x' = (-2 + [tex]\sqrt{100}[/tex]) / 2*1
x' = (-2 + 10) / 2
x' = 8 / 2
x' = 4
x" = (-2 -10) / 2
x" = -12 / 2
x" = -6
Is this a function or not a function?
Answers
Answer:
This is indeed a function
Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?
Answers
Answer:
bradley is 50 and madison is 23
Step-by-step explanation:
m + 27 = b
(b - 7) + (m - 7) = 59
[(m + 27) - 7] + (m - 7) = 59
m + 20 + m -7 = 59
2m + 13 = 59
2m = 46
m = 23, b = 23 + 27 = 50
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
PLEASEEEEE I BEG YOUUU 50 POINTS!!!!!!!~~~~~
Aubrey wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Aubrey could use a printer who charges a setup fee of $38 and $3 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $34 and $4 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?
Answers
Answer:
Copies cost for the first case = $ 12
Copies cost for the second case =$16
Number of Copies = 4
Step-by-step explanation:
Let the number of copies = N
. for the first case: total cost (T1) = 38 + 3N
. for the second case: total cost (T2) = 34 + 4N
Determine the ‘N’ when the cost is equivalent
So, 38 + 3N = 34 + 4N
38 – 34 = 4N – 3N
N = 4
Therefore, number of copies = 4
Copies cost for the first case = 3 × 4 = $12
Copies cost for the second case = 4 × 4 = $16
#1.
Set up fee=$38Cost per copy=$3Expression
[tex]\sf\longmapsto 38+3x[/tex]
#2
Set up fee=$34Cost per copy=$4Expression
[tex]\sf\longmapsto 34+4x[/tex]
Now
[tex]\sf\longmapsto 4x+34=3x+38[/tex]
[tex]\sf\longmapsto x=4[/tex]
There were 4copies
Express the number in scientific notation. 7/100
Answers
Answer: 7
×
10
−
2
Step-by-step explanation:
The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?
Answers
[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
Answers
Answer:
D ÷3/5 that's the answer i think I worked it out myself
increase 400 in the ratio 3:5
Answers
Answer:
250.
Step-by-step explanation:
3 + 5 = 8. => (3/8) * 400 = 3 * 50 = 150. => (5/8) * 400 = 5 * 50 = 250.
3^4x-1=15
Need help with this log question
Answers
Answer:
x=16/81
Step-by-step explanation:
3^4x-1=15
81x-1=15
81x=15+1
81x+16
divide both sides by 81
x=16/81
help please!!!!!!!!!!!
Answers
Answer:
1/(xy)³
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
_____
[tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]
Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?
Answers
Answer:
No
Step-by-step explanation:
the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more
Which graph appears to show a linear proportional relationship between x and y?
A,B,C, or D
Answers
Answer:
Step-by-step explanation:
