Answers:
a) 2048b) 2047=============================================================
Explanation:
If a set has n elements inside it, then it has 2^n different subsets.
Consider a set like {a,b,c}. It has n = 3 elements.
It has 2^n = 2^3 = 8 subsets
Those 8 subsets are...
{a,b,c} ..... any set is a subset of itself{a,b}{a,c}{b,c}{a}{b}{c}{ } .... the empty setAs you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.
In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol [tex]\varnothing[/tex] or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.
--------------
Note how I included {a,b,c} as a subset. Any set is a subset of itself.
A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.
So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write [tex]2^{n} - 1[/tex]
--------------
For this problem, n = 11
This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.
The number of subset of a set containing 11 elements is 2,048
And, number of proper subset of a set containing 11 element is 2,047.
Here,
A set containing 11 elements.
We have to find number of Subsets and number of Proper subsets.
What is Proper subset of a set?
Set A is considered to be a proper subset of Set B if Set B contains at least one element that is not present in Set A.
Now,
Let a set containing n elements.
then, Number of subsets = [tex]2^{n}[/tex]
And, Number of proper subsets = [tex]2^{n} -1[/tex]
Hence,
A set containing 11 elements.
Number of subsets = [tex]2^{11} = 2,048[/tex]
And, Number of proper subsets = [tex]2^{11} -1 = 2,048 - 1 = 2,047[/tex]
Hence, The number of subset of a set containing 11 elements is 2,048
And, number of proper subset of a set containing 11 element is 2,047.
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What's two numbers that total 26 and have a difference of 6
Answer:
3?
Step-by-step explanation:
Ch Area and Volume
Kindly Help Me To Solve These..
Answer:
Q.1=V0LUME
Q.2=2744CM
Q.3=4913MM
Q.4=19683M
Q.5=32400CM
Q.6=540CM
Q.7=25
Q.8=584
Q.9=36
Q.10=79199.5
Q.11=1144
Step-by-step explanation:
Q.2=14×14×14=2744CM
Q.3=17×17×17=4913MM
Q.4=27×27×27=19683M
Q.5=18×120×150=324000MM then you divide by 10 to change it into CM =32400CM
Q.6=15×12×3=540CM
Q.7=15×15×15=3375
5×5×5=125
THEN YOU DIVIDE THEM =3375÷125=25
Q.8=12×14×3.5=584
Q.9=[3×1×4]±[2×2×4]±[1×2×4]=36 THAT IS THE NUMBER OF BOXES IN A
3×6×4=72THAT IS THE NUMBER OF BOXES IN B
TO GET HOW MANY ARE NEEDE FROM A TO FILL B WE 72-36=36
Q.10 89×71×60.5=79199.5
Q.11=13×8×11=1144
HOW I WILL GET A BRAINLIEST FROM THIS
Sarah and Jack go shopping Jack spends 20 percent of his money and Sarah spend 1/4 of her money how spends more
Answer:
Sarah, if each had the same amount of money to start with
Step-by-step explanation:
1/4=.25 or 25% 25%>20%
in the figure below explain why line p is or isn't parallel to line q
Answer:
Step-by-step explanation:
If the lines were parallel the angle measruing 72 and the angle measuring 109 would add up to 180 degrees(corrosponding and theroum ,sum of angles on line)
16,8, 4, ...
Find the 10th term.
Round to the nearest thousandth (if necessary)
In a football marathon , a team lost 4 games and won 7.what is the ratio of win to loses?
Cos pie divided by 12 in surd form
Answer:
¼(√6 + √2)
Step-by-step explanation:
We want to find cos (π/12) in surd form.
Now, cos (π/12) can be expressed as;
cos [(π/4) - (π/6)]
Now, from trig derivations we know that;
Cos (A - B) = CosACosB + sinAsinB
Thus;
cos [(π/4) - (π/6)] = cos(π/4)Cos(π/6) + sin(π/4)sin(π/6)
Now, in surd form;
cos(π/4) = sin(π/4) = (√2)/2
Cos(π/6) = (√3)/2
sin(π/6) = 1/2
Thus, Plugging in relevant values to get;
cos(π/4)Cos(π/6) + sin(π/4)sin(π/6) = ((√2)/2 × (√3)/2) + ((√2)/2 × 1/2)
This gives;
((√6)/4) + ((√2)/4) = ¼(√6 + √2)
A jar contains n nickels and d dimes. There are 31 coins in the jar, and the total value of the coins is $2.10.
Answer:
11 dimes 20 nickels
Step-by-step explanation:
Only combo that makes $2.10
17
Select the correct answer from the drop-down menu.
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as
x+2x+6 < 50, where x represents the smaller number.
From the set {13, 14, 15, 16, 17), the values of x for which the inequality holds true are
Reset
Next
Answer:
13 and 14
Step-by-step explanation:
From the inequality
x + 2 x + 6 < 50
we work out the answer for x isolating it on one side of the inequality as shown below
3 x + 6 < 50
3 x < 50 - 6
3 x < 44
x < 44/3 ≅ 14.6666...
Therefore, select from the set the numbers: 13 and 14.
[tex]5 \frac{5}{6} - 1 \frac{1}{4} = [/tex]
The answer is
[tex] \frac{55}{12} [/tex]
and in mix fraction it will be
[tex]4 \frac{7}{12} [/tex]
and in decimal form,
[tex]4.583333[/tex]
[tex]answer \: = 4 \frac{7}{12} [/tex]
Way to do5⅚ - 1¼ =
35/6 - 5/4 =
140/24 - 30/24 = 110/24 = 4 14/24 = 4 7/12
Please solve if you know no trolls please im desparate
Please if you can answer any question or if all if you can.
8) Tayna made a mistake in her work. Identify the mistake and explain how she could fix the mistake. *
How many degrees are there in the "Department Store" angle? *
How many degrees are there in the "Gas Station" angle? *
Answer:
Department Store:
7(18.75)+8= 139.25
Gas Station:
18.75+22= 40.75
Step-by-step explanation:
The mistake is 7x+8+x+22 should not equal 90. It should equal 180 degrees because the two angles are supplementary angles. (It forms a straight line)
Correct equation and how to solve for X:
7x+8+x+22=180
8x+30= 180
8x= 150
x=18.75
Department Store:
7(18.75)+8= 139.25
Gas Station:
18.75+22= 40.75
Below, enter x If the graph of the given equation is symmetric with respect to the x-axis, y if it is symmetric with respect to the y axis, o (lower
case O) if it is symmetric with respect to the origin, and n (for None) if it has none of these three symmetries.
y=xt
y = x2 +1
y=x²+x
y = (1 + x2)3
Answer:
Step-by-step explanation:
You can tell by looking at the form of each equation.
y = tx
This is a straight line that passes through the origin, so it symmetric with respect to the origin.
y = x²+1
This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.
y = x²+x = (x+½)² - ¼
This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.
Can't tell what "y = (1 + x2)3" means. Which terms are exponents?
Christine has her own dog-walking business. She charges her customers $20 per day to walk their dog.
Make a table to show how much she earns for walking 1 to 8 dogs.
Please help me !
Answer:
Number of dogs (x) | Amount charged to walk a dog (y)
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
6 | 120
7 | 140
8 | 160
Step-by-step explanation:
Charge for walking a dog = $20 per dog
Number of dogs = x
Amount charged to walk a dog in a day = y
Unit rate = 20
Equation to represent this is: y = 20x
Let's use this to form a table for walking 1 to 8 dogs:
For 1 dog (x):
y = 20(1) = $20
For 2 dogs (x):
y = 20(2) = $40
For 3 dogs(x):
y = 20(3) = $60
For 4 dogs:
y = 20(4) = $80
And so on till we get to tl8 dogs.
This, we should have the following table:
Number of dogs (x) | Amount charged to walk a dog (y)
1 | 20
2 | 40
3 | 60
4 | 80
5 | 100
6 | 120
7 | 140
8 | 160
Please help fast!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x² + 2x - 6
Step-by-step explanation:
= f(x) + g(x)
= (2x + 1) + (x² - 7)
= 2x + 1 + x² - 7
= 2x - 6 + x²
= x² + 2x - 6
good luck, i hope this helps :)
Of the flowers in Bella’s garden, 5/8 are tulips. What percent of the flowers in the garden are tulips?
Answer:
62.5
Step-by-step explanation:
Please help this question finding a side on a triangle
Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]
[tex]x = 13.233\,cm[/tex]
The side of the hypotenuse is 12.233 centimeters.
Divide. Enter your answer as a fraction in simplest form.
1/5 divided by 11/15
O bicicleta costa 420 de lei. Pretul ei se reduce cu 15%. Cat va costa bicicleta dupa reducere.
Answer:
The price of the bicycle after the discount is 357 lei
Step-by-step explanation:
The given question says, "The bicycle costs 420 lei. Its price is reduced by 15%. How much will the bike cost after the discount."
Cost price of the bicycle = 420 lei
Discount = 15%
We need to find the price of the bicycle after the discount. It can be calculated as follows :
[tex]P=420\times \dfrac{15}{100}\\\\=63[/tex]
Price = 420 -63
= 357 lei
Hence, the price of the bicycle after the discount is 357 lei.
Does any one know the answer
Answer:
Step-by-step explanation:
Solve for x=0 and x=1
y(0)=2(3^0)=2(1)=2 so (0,2) is a point.
y(1)=2(3^1)=2(3)=6 so (1,6) is a point.
Only graph B has those two points.
The ratio of the measures of the sides of a triangle is 3:5:7, and its perimeter is 135 feet. Find the measure of each side of the triangle.
a. x = 9
b. 13.5 ft, 22.5 ft, 31.5 ft
c. 27 ft, 45 ft, 63 ft
d. 25 ft, 45 ft, 65 ft
Answer:
The correct answer is C. 27 ft, 45 ft, 63 ft.
Step-by-step explanation:
Given that the ratio of the measures of the sides of a triangle is 3: 5: 7, and its perimeter is 135 feet, in order to find the measure of each side of the triangle, the following calculation must be performed:
3 + 5 + 7 = 15
135/15 = 9
9 x 3 = 27
9 x 5 = 45
9 x 7 = 63
Therefore, the measures of the sides of the triangle are 27 ft, 45 ft, and 63 ft.
In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is Response area the value of the 9 in the hundredths place.
Answer:
the 9 in the tenths place is 10 times bigger than the one in the hundredths place
Step-by-step explanation:
The value of the 9 in the tenth place is "10 times" the value of the 9 in the hundredth place.
What is the place value strategy?Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.
The decimal we are examining is 3.9928.
The 9 in tenth place has a value of 0.9.
The value of 9 in the hundredth place is 0.09
The fraction of the 9 in the tenth place is now the 9 in the hundredth place.
To get this, simply multiply the value of 9 in the hundredth place by the value of 9 in the tenth place.
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
So you can complete the statement by dragging and dropping "10 times" into the response area.
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Please help thank you
Answer:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
Sarah purchased 6 tons of sand $42.88 per ton and 7 cubic yards of mulch $28.58 per cubic yard. The state sales tax was 4.5%. What was the cash register receipt total?
Answer:
$477.92
Step-by-step explanation:
42.88 x 6= 257.28
28.58 x 7= 200.06
257.28+200.06=457.34
457.34 x .045= 20.58
20.58+457.34= 477.92
Jasper decorates flower pots to sell in his shop.
HE knows that it takes 12 minutes to decorate a flower pot.
Jasper works from 9:30am until 12:50pm on Tuesday.
HE takes 20 minutes for a coffee break at 10:30am
How many flower pots does Jasper decorate on Tuesday?
Answer:
He works from 9:30am to 12:50pm.
He takes a brake at 10:30 for 20 mins.
Now the time he works will be
(12:50 - 9:30) - 20
3:20 - 20
3:00
NOTE: TILL HERE DONT THINK THE SIGN ':' IS USED FOR RATIO, ITS USED AS IN TIME. AND THIS MEANS THE NUMBER BEFORE ':' IS HOURS AND THE NUMBER AFTER THE ':' WILL BE MINUTES.
i.e., 3 hours.No. of pots decorated in 3 hours will be,
3 hours in minutes÷time taken to decorate one pot.
⇒ (3×60)÷12
⇒ 180÷12
⇒15
Thus he decorates 15 pots in the given time.
Jasper decorates [tex]15[/tex] pots on Tuesday.
There are [tex]60[/tex] minutes in [tex]1[/tex] hour . To convert from minutes to hours, divide the number of minutes by [tex]60[/tex].
How many flower pots does Jasper decorate on Tuesday?
He works from [tex]9:30[/tex] am to [tex]12:50[/tex] pm.
He takes a break [tex]10:30[/tex] for [tex]20[/tex] mins.
Now the time he works will be
[tex]3:20 - 20\\3:00[/tex]
i.e., 3 hours. No. of pots decorated in 3 hours will be,
3 hours in minutes ÷time taken to decorate one pot.
⇒ (3×60)÷12
⇒ 180÷12
⇒15
Thus he decorates [tex]15[/tex] pots in the given time.
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Tom saves 50% of his paycheck. If his
pay is $148, how much will he save?
Answer:
triangllllllllllllllllllllllllllllllllllllleeeee
Step-by-step explanation:
Answer:
$74
Step-by-step explanation:
50% means he saves half of his paycheck
148 ÷ 2 = 74
Thus, he saves $74 from his paycheck
There were 140 geese living in Larson Lake last year. It is overpopulated. A scientist has suggested a program to decrease the population of geese by 15% after 5 years. How many geese does the scientist hope will be in the lake in 5 years? Show your work.
Answer:
119
Step-by-step explanation:
Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.
Add them together to get 15%, which is now 21.
Take 21 off of 140 to get the answer, which is 119.
ALTERNATIVE METHOD - CALCULATOR
To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
m = 1.49
b = 5.50
equation y = 1.49x + 5.50
Non-proportional
Positive Slope
PLSSS HELP ASAPPPP I BEG
MARKI BRAINLIST AND GIVING POINTS
Answer:
b = 34
m = 5
f(t) = 5x+34
Step-by-step explanation:
f(0) = 34, so that is its y intercept.
f(t) contains (0,34) and (8,74), which can be used to find the slope:
[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]
Solve pls (correctly) brainliest if correct! I, lots of points!
Answer:
5
Step-by-step explanation:
First, find the equation of the line:
put it in the form y = mx + b where m is the slope and b is the y-intercept
You already have m = 2, so y = 2x + b.
Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.
3 = 2 * 1 + b
3 = 2 + b
1 = b
This means the equation of the line is y = 2x + 1.
Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:
y = 2 * 2 + 1
y = 4 + 1
y = 5
5 is the answer
i will give brainliest and also 10$
33.85 or 32.75 sorry if I am wrong
Step-by-step explanation:
for this one you have you multiply 17 by itself like this 17x17=289 but you also have to do it with the 28 to like this 28x28=784, now what you do it add up the 289+784=1,073 then you square root 1,073 which gives you 32.75 round it to the nearest tenth of needed so your will be between 33.85 or 32.75