From the union operation between sets, we have that the number of elements for each case will be as follows:
a) 11069.
b) 9975.
c) 11031.
What is the union operation between sets?The union operation between sets is the set that contains all elements that belong to at least one of the sets.
In item a, if the sets are disjoint, all the elements belong to only one set, and the number of elements in A1∪A2∪A3 is given by:
102 + 992 + 9975 = 11069.
For item b, if they are all contained into A3, the number of elements is the cardinality of A3, given by 9975.
For item c, we have that:
There are 4 elements in all three sets.Hence 14 - 4 = 10 common to A1 and A2 but not A3.Hence 14 - 4 = 10 common to A1 and A3 but not A2.Hence 14 - 4 = 10 common to A2 and A3 but not A1.102 - (4 + 2 x 10) = 78 that belong to only A1.992 - (4 + 2 x 10) = 968 that belong to only A2.9975 - (4 + 2 x 10) = 9951 that belong to only A3.Hence:
n(A1∪A2∪A3) = 4 + 3 x 10 + 78 + 968 + 9951 = 11031.
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The set of all numbers less than or equal to −4 or greater than 0.
Answer:
Step-by-step explanation:
-4 ≥ x
-0 ≤ x
I don't think you can combine this into one statement.
Your line looks something like
<---------------O O------------------------->
-4 -0
Shade in the 2 Os. The shaded in Os are included in the way the line looks.
A bag with 10 marbles has 3 blue marbles, 2 red marbles, and marbles, and 5 yellow marbles A marble is chosen from the bag at random.what is the probability that it is blue
Answer:
10 Probability of blue is 2/10%
Step-by-step explanation:
What is the value of the function at x=−2?
Answer:
See below
Step-by-step explanation:
Look for where the vertical line x = -2 crosses the graph.....the value is shown below.....
How long does it take to ride a bicycle 100 miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mph? What is always true about the product speed x time?
Answer:
5 mph ⇒ 20 h10 mph ⇒ 10 h15 mph ⇒ 6 2/3 h20 mph ⇒ 5 h25 mph ⇒ 4 hspeed × time = 100 miles
Step-by-step explanation:
The graph shows an inverse relation between speed and time. You want to know what is true about the product of speed and time.
Inversely proportionalTwo quantities are inversely proportional when one is proportional to the inverse of the other. A constant of proportionality will be involved. The relation can be written ...
y = k(1/x)
where x and y are the quantities inversely related, and k is the constant of proportionality.
ApplicationIn the present case, we have a graph of the relation ...
time = distance/speed
where the distance is 100 miles.
Comparing this to the above inverse proportion relation, we see that "distance" is the constant of proportionality (k):
time = (100 miles)/speed
The times at various speeds are ...
5 mph ⇒ 20 h10 mph ⇒ 10 h15 mph ⇒ 6 2/3 h20 mph ⇒ 5 h25 mph ⇒ 4 hMultiplying both sides of this equation by speed, we get ...
speed × time = speed × (100 miles)/speed
speed × time = 100 miles
The product of speed and time is always 100 miles in this scenario.
Let f(x) = 2x^2 + 7 and g(x) = x^2+9x-6. Find f(x) - g(x).
A. X^2-11x+13
B. X^2-11x+1
C. X^2+7x+1
D. X^2+7x+13
Answer: answer should be;
x^2+9x+13
Step-by-step explanation:
hey there;
f {x} - g {x}
=2x^2 + 7 - x^2+9x-6
=2x^2-x^2+9x+ 7-6
=x^2+9x+13
So, this is the following answer. You may mistook the question or the question itself is wrong.
Hope it helps!
Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.
Answer:
y = 4x - 27
Step-by-step explanation:
The point (8,5) contains and x and y on the line. The x is 8 and the y is 5. Using this and the slope given we can write the equation. We need to solve for b.
y = mx + b
5 = 4(8) + b
5 = 32 + b Subtract 32 from both sides of the equation
-27 = b
y = mx + b
y = 4x - 27
Answer:
pls rate as brainliest
Step-by-step explanation:
y-y1=m(x-x1)
where y1=5,x1=8 and m=4
y-5=4(x-8)
y-5=4x-16
y=4x-16+5
y=4x-11
Help please with all!!!
Answer:
Suri= 40.7 Baseball=C 19=19.417 20=11.167 Tens=6 Thousanths=9 Hundreths=7 Tenths=5 Write in standard form=82.007 4.567 72.85
Write in expanded form= 20+4+0.1+0.07 30+6+0.9 1+0.8+0.02+0.004
Step-by-step explanation:
i gotchu
12. When Bruce started bowling, he won
7
of the games he played. Within six months,
he was winning of his games. If he
improves at the same rate, what fraction
16
of his games should he expect to win after
another six months?
Answer:
I think the answer is 7/16 hope it's correct
A traffic cone with a height of 20 in. is ideal for traffic control. Find the lateral area of a cone with a height of 20 in. and a diameter of 12 in. Round the answer to the nearest whole number.
The lateral area of the cone is 394 square inches
How to determine the lateral areaThe formula for lateral area of a cone is expressed as;
Lateral area = πr √h² + r²
Given that;
height = 20 inDiameter = 12 in, radius = 12/ 2 = 6 inSubstitute the values into the formula
Lateral area = 3. 142(6) √20² + 6²
Lateral area = 18. 85 √436
Lateral area = 18. 85 × 20. 8
Lateral area = 394 square inches
Thus, the lateral area of the traffic cone is 394 square inches
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Anna is analyzing her greeting card business's profits. She wants
more than 40% of the price pof her greeting cards to be profit.
If crepresents Anna's cost to make a greeting card, which inequality
represents the desired relationship between price and cost?
The relationship between the price and cost is p > c.
The cost of manufacturing a product has a direct bearing on its price and the revenue generated by each sale. The cost of a product or service is determined by the customer's willingness to pay. Profit is the sum of the price paid less the costs incurred.
The price of Anna's greeting cards is p.
The cost of making a single greeting card is c.
Anna wants the profit to be 40% of the price of her greeting cards.
Profit = 40% of p
Profit = 40% × p = 0.4p
Now, we know
Price = Profit + Cost
p = 0.4p + c
Therefore, the relationship between cost and price is given by inequality:
p > c
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8. New-to-You Car Sales zoom in
customers about their overall level of
satisfaction. They take a random sample
of 100 customers who have bought a car
in the last 5 years and mail them each a
survey.
Based on this description, the type of
sampling bias most likely to affect the
surve results is:
Answer choices:
self-selection bias.
nonresponse bias.
undercoverage bias.
8
The survey results are most likely to be affected by non response bias.
Sampling bias is a form of bias wherein a sample is collected in such a manner that some members of the intended population have a lower or higher sampling probability than others.
Non-response bias is a type of a sampling bias that occurs when people are unwilling or unable to respond to a survey because of a factor that makes them differ significantly from the people who do respond to the survey. The difference between non-respondents and respondents is generally an influencing factor for the former's lack of response. Non response error is very common in mail surveys.
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if 8/9 is multiplied by 3/7 will the product be greater than either of the 2 factors
If 8/9 is multiplied by 3/7 then the product will not be greater than either of the two factors.
According to the question
on multiplying 8/9 by 3/7 we get
=8/9*3/7
=(8*3)/(9*7)
=24/63
=0.38095 ...(i)
On comparing it with two factors,
8/9 = 0.88888 .....(ii)
and
3/7 = 0.42857 ......(iii)
As we can see that on comparing equation (i) with equation (ii) and
equation (i) with equation (iii) , we get that the product of 8/9 and 3/7 is less than both 8/9 and 3/7 .
Therefore , if 8/9 is multiplied by 3/7 then the product will not be greater than either of the two factors.
The given question is incomplete , the complete question is
If 8/9 is multiplied by 3/7 , will the product be greater than either of the 2 factors ?
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Find the circumference and area of circle X if each unit on the graph measures 1 centimeter. Round answers to the
nearest tenth, if necessary.
The circumference and area of the circle are 13cm and 13cm^2 respectively
How to determine the valuesThe formula for circumference of a circle is expressed as:
Circumference = 2πr
From the graph shown, we have the radius of the circle as 2 cm
Substitute the value into the formula
Circumference = 2 × 3. 142 × 2
Multiply through
Circumference = 12. 568
Circumference = 13cm
The formula for area of a circle is expressed as:
Area = πr^2
Substitute the value into the formula
Area = 3. 142 × (2)^2
Area = 3. 142 × 4
Area = 12. 568
Area = 13cm^2
Thus, the circumference and area of the circle are 13cm and 13cm^2 respectively.
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Alonzo is playing a role playing game with his friends. He will roll dice to determine if his character casts a spell. The odds in favor of his character casting a spell are 13/6. Find the probability of his character casting a spell.
A child has a box full of colored building blocks. If he chooses one block without looking, the probability of choosing a green block is 7/9. What are the odds against choosing a green block?
A. The probability of his character casting a spell will be 1/6.
B. The odds against choosing a green block is 2/9.
How to calculate the probability?A. It should be noted that probability has to do with the chance of a particular thing happening.
In this case, the odds in favor of his character casting a spell are 1/6, therefore the probability of his character casting a spell is 1/6.
B. When a child has a box full of colored building blocks and he chooses one block without looking, the probability of choosing a green block is 7/9, therefore, the odds against choosing a green block will be:
= 1 - P(green block)
= 1 - 7/9
= 2/9
Therefore, the odds against choosing a green block will be 2/9.
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How do I do this? A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?
When only 4 players remain, the fewest number of matches that can be played is 37.
What do we mean by algebra?Algebra is one of the many branches of mathematics. Algebra, in broad terms, is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a thread that runs through almost all of mathematics.Given information:
The total number of players in the tournament is 117.number of players to be eliminated after losing three matches = 1, number of matches played when only four players remain = nWhen only four players remain, the smallest number of matches that can be played is calculated as follows:
117 - 1(3n) = 4117 - 3n = 43n = 117 - 43n = 113Now, divide both sides by 3 as follows:
n = 113/3n = 37.67n ≈ 37 matchesTherefore, when only 4 players remain, the fewest number of matches that can be played is 37.
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Michael is using a number line to evaluate the expression –8 – 3.
After locating –8 on the number line, which step could Michael complete to evaluate the expression?
The next step that Michael could use to evaluate the expression is count 3 units to the left of -8
Which step could Michael complete to evaluate the expression?The expression is given as
-8 - 3
The first step is given as
Locating –8 on the number line
The other term of the expression is a negative number i.e. -3
This means that Michael needs to count 3 units to the left of the first number
Hence, the next step that Michael could use to evaluate the expression is count 3 units to the left of -8
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For a school project, Samuel cuts 4/7-inch discs of metal. How many discs can he make from a metal post that mesures 1/3
foot in length?
If Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length
Given,
The total length of metal post= [tex]\frac{1}{3}[/tex] foot
Convert foot to inches
1 foot = 12 inches
[tex]\frac{1}{3}[/tex] foot= 4 inches
The length of each disc of metal = [tex]\frac{4}{7}[/tex] inches
Number of metal post that he can cut = Total length of metal post / The length of each disc of metal
[tex]=\frac{4}{\frac{4}{7} } \\=4(\frac{7}{4})\\ =7[/tex]
Hence, if Samuel cuts [tex]\frac{4}{7}[/tex] inches discs of metal, then he can make 7 discs from a metal post that measures [tex]\frac{1}{3}[/tex] foot in length
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lim x 3^ + |6-2x|/ sqrt x-3
Answer: maybe this will help. try searching this
Lim x 3^ + |6-2x|/ sqrt x-3 Evaluate the expression. to watch this video that I have screenshot down below.
Step-by-step explanation:
6. Describe the shape of the distribution
shown in the histogram which displays
the light output, in lumens, of various light
sources. (Lesson 1-4)
20
18
16
14
12
10
8+
6+
4
2-
200
400
600
800 1,000
Lumens
1,200
Answer:1200
Step-by-step explanation:
What two variables are involved in this problem? Which variable can best be designated as the dependent variable? As the independent variable? a. Independent variable - amount of depreciation per year; Dependent variable - number of years you own the truck. b. Independent variable - value of the truck; Dependent variable - amount of depreciation per year. c. Independent variable - number of years you own the truck; Dependent variable - value of the truck. d. Independent variable - value of the truck; Dependent variable - number of years you own the truck.
The designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.
How to determine the designation of the dependent variable and the independent variable?In most cases, dependent variables are used to represent discrete values
Take for instance:
Number of yearsNumber of hoursNumber of peopleWhile independent variables are used to represent continuous values
Take for instance:
AmountCostUsing the above as a hint, the designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.
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How to turn a decimal number into a fraction
For an example-
(1.5)
Answer: 3/2 for improper fraction and 1 1/2 for a mixed number
Step-by-step explanation:
Rosie Dry Cleaning was started on January 1, Year 1. It experienced the following events during its first two years of operation: Events Affecting Year 1 Provided $31,130 of cleaning services on account. Collected $24,904 cash from accounts receivable. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account. Events Affecting Year 2 Wrote off a $233 account receivable that was determined to be uncollectible. Provided $36,329 of cleaning services on account. Collected $32,151 cash from accounts receivable. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account.
a. Organizing the transaction data in accounts under an accounting equation for each year is as follows.
Accounting Equation: Assets = Liabilities + Equity
Year 1:
Cash Accounts = Liabilities + Equity
Receivable
1) $31,130 $31,130 Service Revenue
2) $24,904 (24,904)
3) (311) (311) Bad Debts Expense
Bal. $24,904 $5,915 $30,819
Year 2:
Cash Accounts = Liabilities + Equity
Receivable
Bal. $24,904 $6,226 $30,819 Retained Earnings
1) (233) +233
2) $36,329 $36,329 Service Revenue
3) $32,151 (32,151)
4) (285) (285) Bad Debts Expense
Bal. $57,055 $9,808 $66,863
b. Determining the following amounts is as follows:
Year 1 Year 2
1. Net income $30,819 $36,044
2. Net cash flow from operating activities 24,904 32,151
3. Balance of accounts receivable at the end 6,226 10,171
4. Net realizable value of accounts receivable 5,915 9,808
Transaction Analysis:Year 1:
1) Accounts Receivable $31,130 Service Revenue $31,130
2) Cash $24,904 Accounts Receivable $24,904
3) Bad Debts Expense $311 Allowance for Uncollectible Accounts $311
Year 2:
1) Allowance for Uncollectible Accounts $233 Accounts Receivable $233
2) Accounts Receivable $36,329 Service Revenue $36,329
3) Cash $32,151 Accounts Receivable $32,151
4) Bad Debts Expense $285 Allowance for Uncollectible Accounts $285
Net income for Year 2 = $36,044 ($36,329 - $285)
Net cash flow from operating activities:Year 1:
Net income $30,819
Non-cash expense 311
Accts receivable (6,226)
Cash from operations $24,904
Year 2:
Net income $36,044
Non-cash expense 52 ($285 - $233)
Accts receivable (3,945)
Cash from operations $32,151
Year 1:
Accounts ReceivableAccount Titles Debit Credit
1) Service Revenue $31,130
2) Cash $24,904
Ending balance $6,226
Net Realizable Accounts Receivable = $5,915 ($6,226 - $311)
Year 2:
Accounts ReceivableAccount Titles Debit Credit
Beginning balance $6,226
1) Allowance for Uncollectibles $233
2) Service Revenue 36,329
3) Cash 32,151
Ending balance $10,171
Net Realizable Accounts Receivable = $9,808 ($10,171- $363)
Allowance for Uncollectible AccountsAccount Titles Debit Credit
Year 1:Bad Debts Expense $311
Year 2:Accounts Receivable $233
Bad Debts Expense 285
Balance $363
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Question Completion:Required a. Organize the transaction data in accounts under an accounting equation for each year.
b. Determine the following amounts:
1. Net income for years 1 and 2.
2. Net cash flow from operating activities for Years 1 and 2.
3. Balance of accounts receivable at the end of Years 1 and 2.
4. Net realizable value of accounts receivable at the end of years 1 and 2.
If AC = 31 and BC = 6, then AB
The measure of segment AB from the given question is 25
Addition postulate
In line geometry, a line is the distance between two points while an angle is the point where two lines intersect.
Given the following parameters
AC = 31
BC = 6
Required
AB
Using the addition postulate
AB + BC = AC
Substitute
AB = AC - BC
AB = 31 - 6
AB = 25
Hence the measure of segment AB from the given question is 25
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Brayden is saving up to buy a new video game. He already has $25 and can save an
additional $5 per week using money from his after school job. How much total money
would Brayden have after 4 weeks of saving? Also, write an expression that represents the amount of money Brayden would have saved in w weeks.
Total savings after 4 weeks:
Total savings after w weeks:
Answer:
After 4 weeks: $45, After w weeks: 5w + 25
Step-by-step explanation:
5 per week is 20 for 4 weeks. $25 + $20 = $45.
5w is 5 times the week. +25 because he had 25 to begin with. 5w+25.
f(x) = 3x + 2
f(4) = ?
Answer:
3x+2 = 14.12
f(4) = 0
Answer: EVALUATE
3x+8f
f(x)=3x+2f(4)=
Multiply 2 and 4 to get 8.
3x+8f
DIFFERENTIATE W.R.T. X
3
Step-by-step explanation:
QUESTION 6
A product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month. After the product was improved, sales increased to an average of 2,000,000 units per month. However, the new product cost five percent more to produce. If the manufacturer's selling price in each instance was 75 cents per unit, what was the manufacturer's added profit per month with the newer product?
O, a. $20,000
O b. $240,000
• c. One cannot tell from the information given.
O d. $60,000
O e. $200,000
Thus the profit of the manufacturer is 240000$ per month
It is given that a product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month.
After the product was improved, sales increased to an average of 2,000,000 units per month.
It is also given that the new product cost five percent more to produce.
If the manufacturer's selling price in each instance was 75 cents per unit, We are required to find what was the manufacturer's added profit per month with the newer product.
Cost price is the price which the manufacturer pays for each unit
It is given that the cost price of new version is 5 percent more than the previous one.
Thus, the cost price of each unit of product = 60 cents +5 percent of 60 cents = 60+5/100*60=63 cents
It is also given that selling price of each unit is 75 cents
Profit=selling price- cost price
= 75-63= 12 cents
Thus, total profit on selling the 2000000 products= 2000000x12cents
Now we know that 100 cents = 1 dollar
Thus the profit in dollars will be = 2000000*12/100=240000
Thus the profit of the manufacturer is 240000$ per month
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Pakisagot po if function po ito o hindi Brainleist is award
check image for answer po
What is the solution set of this inequality?
-8-1> 3z + 14
Answer:
z>7.67
Step-by-step explanation:
-9>3z+14
3z<-14-9
3z<-23
3z>23
z>(23÷3)
z>7.67
Represent the values of x in interval notation:
x can be any real number between 5 and
I
Points possible: 10
This is attempt 1 of 1.
Submit
-
3 or any real number greater than or equal to 22.
Use "oo" for infinity.
License
Interval notation
(-5,-3) U [22,00)
• Interval notation in mathematics is a method to represent an interval of a number on the number line. In simpler words, interval notation is a way of writing subsets of the real number line .
• An interval comprises of the numbers lying between two specific given numbers. For example a set of numbers lying between 0 and 3 is an interval that contains 1,2.The way to represent interval notation is by using square bracket or round brackets, square brackets for both value included and round brackets for both value not included.
We are given that x is a real number which lies between -3 and -5 or any real number greater than or equal to 22
Firstly, x lies between -3 and -5
-5< x <-3
x = (-5,-3)
Secondly, x is greater than 22
x>=22
x = [22,00)
Interval notation
(-5,-3) U [22,00)
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The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight
Based on the variation statement, the variation equation is P = kW
How to determine the pressure equation?The mathematical statement is given as
The pressure exerted on the floor by a person’s shoe heel varies in direct proportion on his or her weight
A direct variation is represented as ∝
In this case, we have
P = Pressure
W = Weight
So, we have the variation to be
P ∝ W
Express as an equation
P = kW
Where k represents the constant of variation
Hence, the variation equation is P = kW
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