Answer:
(a) Total No. of Subsets = 128
(b) Total No. of Proper Subsets = 127
Step-by-step explanation:
First we need to define the set of days of the week.
Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
It is evident from the set of days of the week, that it contains 7 elements.
(a)
The total no. of subsets of a given set is given by the following formula:
Total No. of Subsets = 2^n
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Subsets = 2^n
Total No. of Subsets = 2^7
Total No. of Subsets = 128
(b)
The total no. of proper subsets of a given set is given by the following formula:
Total No. of Proper Subsets = (2^n) - 1
where,
n = no. of elements of the set = 7
Therefore,
Total No. of Proper Subsets = (2^n) - 1
Total No. of Proper Subsets = (2^7) - 1 = 128 - 1
Total No. of Proper Subsets = 127
The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.
Given :
The set of days of the week.
The following steps can be used in order to determine the number of subsets and the number of proper subsets:
Step 1 - According to the given data, the set is given below:
S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]
Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.
[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]
a) The total number of subsets is 128.
b) The total number of proper subsets is 127.
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PLS Help Asap! i will award brainliest On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
Answer:
24 miles.
Step-by-step explanation:
Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.
Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is [tex]4\times3=12[/tex] units.
Total number of units: [tex]12units+4units+1unit=17units[/tex]
[tex]17units=34[/tex]
Divide 17:
[tex]1 unit=2[/tex]
The number of miles travelled by train is 12 units:
[tex]12units=2\times 12=24[/tex]
She travelled 24 miles by train.
Answer:
24 miles
Step-by-step explanation:
Statement of the given problem,
On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
Let T, B & F denote the distances (in miles) traveled by train, bus & foot respectively.
Hence from above data we get following relations,
T = 3*B
or B = T/3
B = 4*F
F = B/4 = T/3/4 = T/12
T + B + F = 34
or T + T/3 + T/12 = 34
or 17*T/12 = 34 or T = 12*34/17 = 24 (miles) [Ans]
suppose four more people voted and they all voted for Jocelyn.what fraction of the vote would be for Jocelyn?
Answer:
The Answer is 113/348
Step-by-step explanation:
Simplify. 5-10 | 0.8 - 3/5 | A. –5 B. –1 C. 3 D. 5
Answer:
I dont know what to do... i know I keep bothering you, but you actually give me advice. My favorite advice youve given me was probably, so sus ;)
Step-by-step explanation:
That was an inside joke for anyone else who see this haha
What is the value of the expression |5x+12| when x=5
Answer:
|5x+12| when x=5
I5*5=12I
I37I
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
X=5
5x=(5×5)=25
25+12=37
Where in real life do you work with radical expressions and functions? Give an example of your own.
Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximately
inches. Enter only the number.
Answer:
A = 379.94 square inches
Step-by-step explanation:
The area of a circle equation is:
A = pi * r^2
Fill in what you know and solve:
A = 3.14 * 11^2
A = 3.14 * 121
A = 379.94
The area of the circle is 379.94 square inches.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the area of a circle with a radius of 11 inches.
Here, area of a circle is
A=3.14×11²
= 3.14×121
= 379.94 square inches
Therefore, the area of the circle is 379.94 square inches.
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PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST!!
It's D 400 gallon of paint were used
What is a requirement of adjacent angles?
Answer:
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4
Answer:
A. h(x) = 6x2 – 10x – 4
Step-by-step explanation:
Got 100% on edge.
The value of h(x) is h(x) = 6x^2 -10x + 4
How to determine the composite function?The functions are given as:
f(x) = 2x - 4
g(x) = 3x + 1
So, we have:
h(x) = f(x)g(x)
This gives
h(x) = (2x - 4) * (3x+ 1)
Evaluate
h(x) = 6x^2 + 2x - 12x - 4
This gives
h(x) = 6x^2 -10x + 4
Hence, the value of h(x) is h(x) = 6x^2 -10x + 4
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!!!The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answer:
The answer is
27 cmStep-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
h is the height
r is the radius
V is the volume
Since we are finding the height
[tex]h = \frac{V}{\pi {r}^{2} } [/tex]
From the question
V = 675π cm³
r = 5 cm
Substitute the values into the formula and solve for the height
That's
[tex]h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} [/tex]
We have the final answer as
27 cm
Hope this helps you
Convert the following decimals to percentages.
0.52 =
%
Answer:
52% is the answer
52%
all decimals can convert to percentages easily. For example:
0.76 = 76%
0.4 = 40%
0.093 = 9.3%
just move the decimal point 2 places backwards.
Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is (Simplify your answer.) B. There is no solution.
Answer: Choice A, x=-4
Step-by-step explanation:
1. 9x−(3x+9)=2x−25
2. 9x-3x-9=2x-25
3. 6x-9=2x-25
4. 6x-9=2x-25
-2x -2x
5. 4x-9=-25
+9 +9
6. 4x=-16 (divide both sides by 4)
7. x=-4
Javon and Ivy are both given the equation 5-2x-1/3=4, Javon thinks the first step is -2x-1/3=9. Ivy thinks the first step is -2x-1/3=-1. Who is incorrect and why?
Answer:
Javon is incorrect
Step-by-step explanation:
You have to subtract 5 both sides to move it to the other side:
5 -2x -1/3 = 4
5 - 5 - 2x - 1/3 = 4 -5
-2x - 1/3 = -1
Answer:
Javon is incorrect because he didnt subtract 5 from both sides, or add -5
Step-by-step explanation:
I had this question
What is the mid point between (0,0) and (3,4)
Answer:
Midpoint of a line segment
(xM,yM) = (4, 5).
Answer:
I think it's point (1.5,2).
Step-by-step explanation:
3 ÷ 2 = 1.5
4 ÷ 2 = 2
There are ten pieces of pizza. Anthony ate 4 9 of the pizza for dinner. He ate 1 6 of the pizza for a bedtime snack. How much of the pizza has he eaten in all? Give your answer as a fraction, reduced to lowest terms.
Answer:
7/18
Step-by-step explanation:
Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.
Anthony had eaten an (11/18) fraction of pizza in all.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
How to solve the given question?In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.
We are asked to find how much of the pizza has he eaten in all.
Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.
or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,
or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,
or, Total pizza Anthony had = {11/18}th fraction of pizza.
Therefore, Anthony had eaten an (11/18) fraction of pizza in all.
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The area of a rectangular mirror is 11 11 16 square feet. The width of the mirror is 2 3 4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit
what 6.8 into 3 by 4. urgent
Step-by-step explanation:
5.1 .......... write it fast..........
Is (4,1) (8,1) (8,2) (12,2) (12,3) (16,4) (20,3) a function, yes or no?!
Answer:
No, it is not a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer:
it not a function
Step-by-step explanation:
Since x = 12 produces y = 2 and y = 3, the relation
(4,1),(8,1),(8,2),(12,2),(12,3),(16,4),(20,3)
is not a function.
The relation is not a function.
Hope this help
At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery
Answer:
9 people
Step-by-step explanation:
9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.
you can afford a $250 per month car payment. you've found a 3 year loan at 2% interest . how big of a loan can you afford
Answer:
interest = 250
time = 3 years
rate = 2%
we know
P = I*100/(R*T)
= 250*100/6
=4166.67
Step-by-step explanation:
Can somebody help me with math just text in comments below 360 times 4 + 77= ?
Answer:
1,517
Step-by-step explanation:
360 times 4 equals 1440. 1440 + 77 is 1517.
which measurement is closest to the area of a circle with a circumference of 24 centimeters
Answer: 144π or 452.389342117
Step-by-step explanation:
24= circumference
c=dπ
c=24π
24/2=12
12=radius
12^2π=area
144π=area
Write 10 × 10 × 10 × 10 × 10 × 10 as a power of 10 using exponents.
Answer:
10⁶
Step-by-step explanation:
B
Because there is 6 10s so... yeah hope this helps
Answer:
6
10
Step-by-step explanation:
a tree is 5 feet 3 inches tall. how tall is it in inches
Answer:
63 inches
Step-by-step explanation:
Answer:
63 inches
Step-by-step explanation:
12inches = 1 foot.
5x12=60+3=63
Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000
Answer:
Step-by-step explanation:
i think this is the answer
576.628
Answer:
[tex]\frac{72776}{125}[/tex]
Step-by-step explanation:
500+76+6+1/5+1/125
500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125
62500+9500+750+25+1/125
[tex]\frac{72776}{125}[/tex]
or 582.208
or
[tex]582 \frac{26}{125}[/tex]
What is the solution to this equation?
5x - 4 + 3x = 36
O A. x = 5
O B. x= 16
O C. x = 4
O D. x = 20
A five-pound bag of flour costs $2.90 and holds 10 cups. How much will
it cost for two-and-one-quarter cups of flour?
Answer:
65 cents
Step-by-step explanation:
divide 10 by 2.25 to get the factor. Next divide 2.9 by that to get your answer. 10/2.25 = 4 4/9. 2.9/ 4 4/9 = 0.6525 --> 0.65
it would rlly help so much Please I will give brainmast
Answer: The top right
Step-by-step explanation: The top left is a line segment so incorrect,
the bottom left is a ray so also incorrect, and finally, the bottom right is just a dot so that is also incorrect.
Hope this helped!
Mark Brainliest if you want!
Answer:
Top photo on right (the one with two arrows on the sides)
Step-by-step explanation:
Top left photo is a segmentBottom left photo is a rayBottom right photo is a dotSo, the only one left is the top right photoI hope this helps!
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answer: -13
Step-by-step explanation:
The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.
Distance = 7 + 5
Distance = 12 feet
Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
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What is the formula for finding circumference given the radius?
Answer:
[tex]C = 2\pi r\\[/tex]
Step-by-step explanation:
[tex]Circumference = 2\times \pi \times r[/tex]