Answers
1) The intersection of sets A and B is; A ∩ B = {1, 3}
2) The complement of set A is; A' = {4, 5, 6, 9, 10}
How to interpret Mathematical Sets?
We are given the sets;
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 7, 8}
B = {1, 3, 9, 10}
1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;
A ∩ B = {1, 3}
2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;
A' = {4, 5, 6, 9, 10}
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Related Questions
HELP NOWWW!!!!! PLEASE
Question content area top Part 1 The coordinates of point T are (0,6). The midpoint of is (4,-6). Find the coordinates of point S. Question content area bottom Part 1 The other endpoint is enter your response here. (Type an ordered pair.)
Answers
Answer:
The end point is (8,-18)
Step-by-step explanation:
5h+2(11−h)=−5 what is h
Answers
Answer:
-9
Step-by-step explanation:
5h+2(11−h)=−5
5h + 22-2h = -5
3h = -27
h = -9
pls help me and no spam the question is on the screenshot
Answers
Based on the fact that the shape of the given square is dilated with a scale factor, the result would be the first square with a dimension of 3.
What is the dilated shape?The Dilation is to be with a scale factor of 1/3.
This means that the dimensions on the new shape will be:
= Dimensions on original shape x scale factor
= 9 x 1/3
= 9/3
= 3
Dilation does not change the shape of an object so the result of the Dilation would be the first square with a side measurement of 3.
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8 3/7 x 7 2/15 Add. Express your answer in lowest terms.
Answers
Answer:
Step-by-step explanation:
Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15
Step 2: Multiply
43×107=4601
----------
5×15=75
[tex]\frac{4601}{75}[/tex]
Step 3: Convert to an improper fraction
[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]
Hence, our answer is 61 26/75
#17 Write an inequality for
the situation below:
Bring at least $9 for dinner
tomorrow.
Answers
The inequality will be:
x ≥ $9
Which says that x can be equal to or larger than $9.
How to write an inequality?An inequality is a mathematical statement that relates two or more mathematical elements (variables, expressions, etc.) in such a way that there is not a equality like in an equation (an equality can be a solution, but not necessarily)
For example, if x represnts what you bring for dinner, we know that x needs to be at least $9.
So x = $9 is a solution.
But if x is a larger value than $9, it also is a solution.
This situation is represented by the inequality:
x ≥ $9
Which says that x can be equal to or larger than $9.
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21(x + 1) - 6x = 15x + 21
Answers
15x + 21 = 15x + 21
0
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
A thief, after committing a theft runs at a uniform speed of 50 m/minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5 m/minute every suceeding minute. After how many minutes, the policeman will catch the theif?
Answers
Answer:
The police will catch the thief in 5 minutes.
Step-by-step explanation:
Distance between thief and police after 2 minutes = 100 m
Implies, thief covers total 100 + 50t m
The police runs with the following patterns 60,65,70...
This is an Arithmetic Progression with a = 60, d = 5 & number of terms = t
t/2 (2 × 60+ (t − 1) ×5)= 50t + 100
t× (120 + 5t −5)= 100t + 200
(−3+13)÷2= 5
So, the police will catch the thief in 5 minutes.
While training for an athletic event, Julian's daily calorie intake increased from 2,500 to 7,000. What is the absolute increase in Julian's daily calorie intake?
Answers
7000*100=700,000
700,000/2500=280
5-(-7)=5+______ finish the equation
Answers
Answer:
7
Step-by-step explanation:
subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven
The product of five and number, increased by 34 is 24. What is the number?
Answers
Answer:
The number is -2
Step-by-step explanation:
First let's turn this into an equation
5 times a number (we'll use x) + 34 = 24
5x+34= 24
Now to start solving the problem
First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself
5x+34 = 24
-34 -34
5x = -10
Now we just divide both sides by 5 to get rid of it entirely from the x
5x = -10
/5 /5
x = -2
Your number should be -2
We can also check by plugging -2 back into the equation for x
5 (-2) +34 = 24
-10 +34 = 24
24 = 24
Since they are both equal, -2 is really your answer
I hope this helps :)
Distributive Property and Combining Like Terms WS2
Objective
To simplify algebraic expressions using the distributive property.
Simplify
1. 4(3x+1) 12x+4
2. −5(5x−4)
3. -(2x-1)
I need to know the answer
Answers
The equivalent expressions of the given expressions are
4(3x + 1) = 12x + 4-5(5x − 4) = -25x + 20-(2x - 1) = -2x + 1How to simplify the algebraic expressions using the distributive property?The expressions are given as
4(3x + 1)-5(5x − 4)-(2x - 1)The distributive property stated that
a(b + c)= ab + ac
Using the above as a guide, the equivalent expressions are
4(3x + 1) = 12x + 4-5(5x − 4) = -25x + 20-(2x - 1) = -2x + 1Read more about distributive property at
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Write an equation letting
x
be the unknown number.
two subtracted from a number is 2.
Answers
Answer: x-2=2 (x=4)
Step-by-step explanation:
4 minus 2 equals 2
A salesperson earns a commision of $480 for selling $3000 in merchandise. Find the commission rate. Write your answer as a percentage.
Answers
Answer:
16%
Step-by-step explanation:
Commission = Rate of commission * Total sales
So, Rate of commission = Commission/Total sales
x = Rate of commission
x = 480/3000
x = 0.16
x as percentage = 0.16 * 100
x as percentage = 16%
Can someone ppl me lease help me with this question and not text me ab random stuff… :/
Answers
Answer:
{2,3,5,6,8}
Step-by-step explanation:
U={1,2,3,4,5,6,7,8}
A{3,4,5,6}
B{1,4,8}
C{2,3,4,5,6}
We are to find
{A' n B} U {A' n C'}
={3,5,6,8}. U. {2}
= {2,3,5,6,8}
How do I find the next three numbers in the sequence -2,-1,-1,0,-1,1,-2?
Answers
fir
What are the next three numbers in the
pattern?
What you do is each number is the addition
of the next two numbers
So you next three numbers are 3, -5, 8
8-5=3,
3-2=1.
1-1=0 and so on
Answer: 3, -5, 8
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And give like
help out plsssssssssssssss
Answers
Answer: as a decimal 1.6
as a fraction 8/5 hope this helps
Step-by-step explanation:
What is the slope of the line that passes through the points (1, -7) and
(-2, -7)? Write your answer in simplest form.
Answers
Answer:
0
Step-by-step explanation:
To find the slope of a line, you have to use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
So, plug in the numbers: [tex]\frac{-7-(-7)}{-2-1}[/tex]
Simplifying it becomes: [tex]\frac{-7+7}{-2+-1}[/tex]. It then becomes [tex]\frac{0}{-3}[/tex].
Finally, dividing 0 by -3 gets you 0.
Steve has $5. Nancy has 250% as much money as Steve. How much money does Nancy have?
Answers
The amount of money Nancy has is $12.5.
Given that, Steve has $5. Nancy has 250% as much money as Steve.
We need to find out how much money Nancy has.
What is the percentage?A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."
Let the amount of money Nancy has to be x.
Now, x=250% of 5
=250/100 × 5
=2.5 × 5
=12.5
Therefore, the amount of money Nancy has is $12.5.
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What is the approximate value for
813 divided by 13
A. 30
B. 35
C. 40
D. 45
Answers
None of the options is correct. 813 divided by 13 equals 62.538461, whose approximate value is 62
13 times 813 equals 62.538461.
813/13 produces a non-terminating, repeating decimal as a consequence.
The repeating pattern seen above, 538461, is referred to as repetend and is shown with an overline and vinculum.
Another typical parenthetical remark is this one: 813/13 = 62.(538461): However, it's likely that you may see the reptend marked with an ellipsis in daily use: 813 / 13 = 62.538461… .
Decimal 813 divided by 13 equals 62.538461.
In a fraction, 813 is equal to 813/13.
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En que líquido se hunda más rápido un huevo
Answers
Answer:
Se hunde mas rapido en agua salada.
Step-by-step explanation:
Could someone please help me solve this, I have a few hours left and I’m really struggling so bad
Answers
Answer:
8
Step-by-step explanation:
shirts = 10, price per shirt = $9
shirts = 25, price per shirt = $8.40
Linear equation be:
y = mx + b
x = 10 , 25
y = 9 , 8.40
9 = 10m + b
8.4 = 25m + b
9 = 10 m + b b = 9 - 10m
8.4 = 25m + b 8.4 = 25m + 9 - 10m
8.4 - 9 = 15m m = -0.6/15 = -0.04
m = - 0.04
b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4
b = 9.4
The linear equation =
y = mx + b
y = -0.04x + 9.4
Hope this helped xx ?<3
. Barney Mullins' regular pay rate is $14.85 an hour. He is paid time-and-a-half
for hours worked over 40 hours in a week, including weekend work. He worked
these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8,
6.7. What was his gross pay for the week?
Answers
The gross pay for the week is $776.66.
How to calculate the pay?From the information, he worked these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8, and 6.7.
Therefore, the gross pay will be:
= (8.2 + 8.9 + 10.1 + 9.6 + 8.8 + 6.7) × $14.85
= 52.3 × $14.85
= $776.66
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need an answer asap please
Answers
Answer:
the answer is A
that is 828263
William needs a box to hold his golf ball collection. He found a box that can fit 8 layers with 14 balls in each layer. How many golf balls cab this box hold
Answers
The box will be able to hold 112 balls
How to calculate the number of balls the box will hold ?Williams needs a golf box to hold his collection of balls
He discovered that 8 layers can fit in a box and each of these 8 layers can hold 14 balls
Therefore the number of golf balls the box can hold can be calculated as follows
= 8 × 14
= 112
Hence the box can hold 112 balls
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When f(n)=32 what is the value of n
Answers
Answer:
32
Step-by-step explanation:
That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.
Find the distance between the points (6,-12) and (18,-20)
Answers
Distance between the points is -16.
given;
x1 =6
x2=8
y1=-12
y2=-20
d = (x2-x1) (y2-y1)
= (8-6) [-20 - ( -12 )]
= 2 (-8)
= -16
the degree or amount of separation between two points, lines, surfaces, or objects
therefore the distance between the points is -16 .the quality or state of being distant: such as
a
: spatial remoteness
quite a distance between the two hospitals
b
: personal and especially emotional separation
feels a distance from her brother that wasn't there before
also : RESERVE, COLDNESS
c
: DIFFERENCE, DISPARITY
the distance between the two philosophies
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Divide the following and then check by multiplying.
48,845
405
Answers
Answer:
The given Divisor = 405 and Dividend = 48849
The Quotient is 120 and the Remainder is 249
Hope it helps you
604,542+87,106 estimated
Answers
Answer:
the answer is to the question is 691648
According to the Pew Research Center Journalism and Media, the estimated circulation of weekday newspapers, in millions, in the United States can be approximated by the formula c = -0.0166x^2 + 1.2109x + 41.708 where x is the number of years after 1940. According to the formula, in what year would the circulation of weekday newspapers be 0 million? Round to the nearest year.
Answers
Step-by-step explanation:
so, simply, when is c = 0 ?
0 = -0.0166x² + 1.2109x + 41.708
the solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -0.0166
b = 1.2109
c = 41.708
x = (-1.2109 ± sqrt(1.2109² - 4×-0.0166×41.708))/(2×-0.0166) =
= (-1.2109 ± sqrt(1.46627881 + 2.7694112))/-0.0332 =
= (-1.2109 ± sqrt(4.23569001)/-0.0332 =
= (-1.2109 ± 2.058079204...)/-0.0332
x1 = (-1.2109 + 2.058079204...)/-0.0332 =
= -25.5174459... years
x2 = (-1.2109 - 2.058079204...)/-0.0332 =
= 98.46322904... years
x1 represents then a calculation backwards of 1940 - 25.5 years (≈ 1914) as the estimated starting point with 0 million sold papers.
x2 is the projected year in the future with 0 million dogs papers :
1940 + 98.46322904... = 2038.463229... ≈ 2038
based on this equation it is expected that during 2038 the circulation of weekday newspapers will drop to 0 millions.
Suppose you are throwing a lunch event for 100 people.
You decide to offer vegan options. You are not
sure how many vegans are attending, but a study shows that vegans occur at a rate of 5%. Assume the requirements for a binomial distribution are satisfied. What is the probability that you will have less than 10 vegans attending your event?
Answers
The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.
What are the requirements of a binomial distribution?The requirements of a binomial distribution include:
Independent observationsFixed number of observationsEqual probability of success for each observationEach observation falls into the success or failure categories.What is probability?Probability is the likelihood of an event occurring given the possibility of many outcomes.
Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.
Data and Calculations:Expected guests = 100
Expected vegans = 5%
Less than 10 vegans = 9
The chance that 9 vegans will attend the event = 9/100 = 9%.
Thus, the probability of having less than 10 vegans attending the event is 9%.
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