Answer:
n[P(A)] is the power of set A, which is = 16
Step-by-step explanation:
For this question, We are simply looking for the number of elements in the power set of A.
To solve this, there is a simple formula that can be followed, which is
n[P(A)]= \(2^{n(A)}\)
This means that to get the power of the set, we sill have to raise the number 2 to the number of elements in that set.
In our problem, n(A) refers to the number of elements in set A. In this case, n(A)= 4
Hence, n[P(A)]=\(2^{4}= 16\)
Hence the power of set A = 16
pls help i give you brainliest
Feeling anxious about another pandemic induced run-on toilet paper, Jessica is making room in a closet for hording toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 57 inches by width 57 inches by height 63 inches. One Angel Soft MEGA roll has diameter 6 inches, height 5 inches.
What is the volume of the closet space?
What is the volume of one roll of toilet paper?
Use 3.14 for π and round to the nearest whole number
How many rolls of Angel Soft MEGA toilet paper can be fit into the closet space?
The volume of the closet space = 207,936 in³
The volume of the one roll of toilet paper = 141.3in³
How to calculate the volume of the closet?To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.
Where;
length = 57 in
width = 57
height = 64
volume = 57×57×64 = 207,936 in³
The volume of the toilet paper with the shape of a cylinder would be = πr²h
where;
radius = diameter/2= 6/2=3in
height = 5 in
volume of cylinder = 3.14×3×3×5 =141.3in³
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20. what is measure of
Answer:
<D = 147 degrees
AB = 14
BC = 12
Step-by-step explanation:
From the given parallelogram;
<A and <D are supplementary, hence;
<A + <D = 180
33 + <D = 180
<D = 180 - 33
<D = 147 degrees
Since AB = CD
Hence AB = 14
Also since BC = AD, BC = 12
This shows that the opposite side of the parallelogram are parallel
Can you please help me with this question
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
How many grams are there in 13 kilograms?
Answer:
13000grams are in 13 kilograms
2 1/3 - 6 5/6 as a mixed number
Answer: - 4 (1/2)
Step-by-step explanation:
2 (1/3) = (2 X 3 +1)/ 3 = 7/3 = 14/6
6 (5/6) = (6 X 6 +5)/6 = 41/6
so, 2(1/3) - 6 (5/6) = 14/6 - 41/6
= -27/6
= - 4 (3/6)
= - 4 (1/2)
Please help maths question which box is it and why!
Answer:
the third one because it will make more sense
Step-by-step explanation:
Which expression is equivalent to 3 (x-9) + 6?
Answer: 3x-27
Step-by-step explanation:
Answer:
3x-21
Step-by-step explanation:
3(x-9)+6
3x-27+6
3x-21
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Find missing side length. RIGHT ANSWERS ONLY
Answer:
13 cm
Step-by-step explanation:
Adding the 5 cm and 8 cm sides creates a segment with the same length as the unknown side.
Help! Will give brainliest.
Answer:
THANK YOUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU
IOAWEDSIFAHIDFVADEF
AJDEFIA
DJFAID
FAJIDFAJI
DFAJ
FJI
ADFAIDJFAJDJAIDIF
AJIODJDSIOJFADOEIF
FREEEEEEEE POINTS
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
Step-by-step explanation:
Answer:
It would be C (I think)
The lines are parallel
Step-by-step explanation:
160 O SHO) A person bought 6,852 Japanese you from Nepal Rastra Bank for Rs 6,320. find exchange rote between japanese yen and Nepali rupess.
The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
The exchange rate between Japanese Yen and Nepali Rupees is
1 JPY = 0.7184 NPR
Therefore, the exchange rate is 6,852 JPY = 6,320 NPR
Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.
The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:
Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)
Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.
Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
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Simplify the expression 3x + 14x + 35 + 2
Answer:
17x + 37
Step-by-step explanation:
looked it up
A pair of jeans in a store cost $70 in sale. This price is given with 25% discount. Find original price of jeans
determine the surface area and volume
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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The LSRL after an exponential transformation is log Y equals 1.245+.357X. What is the exponential form of the regression?
We have that
\(\log (y)=1.245+0.357x\)Using the log property:
\(10^{\log x}=x\)We can apply the exponential on both sides, we get
\(10^{\log y}=10^{1.245+0.357x}\)Using the log property I said before, and the following property:
\(10^{a+b}=10^a\cdot10^b\)We can simplify it to
\(y=10^{1.245}\cdot10^{0.357x}^{}\)We can even use a calculator to evaluate the constant term:
\(10^{1.245}\approx17.58\)Therefore the exponential form of the regression is
\(y=17.58\cdot10^{0.357x}\)Three students that share a townhouse find that their electric bill for October is $2.23 less than the September bill. The
total of both bills is $292.43, and each bill is split evenly among the roommates. How much did each owe in September?
Answer:
$47.48
Step-by-step explanation:
Let x = the amount owed Sept.
x + x - 2.23 = 292.43 Combine like terms
2x -2.23 = 292.43 Add 2.23 to both sides
2x - 2.23 + 2.23 = 292.43 + 2.23
2x = 294.66 Divide both sides by 2
\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)
x = 147.33 this is the bill for September
Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.
Total:
147.33 + 145.10 = 292.43
292.43 ÷ 3 = 97.48 This is what each will owe rounded to the nearest penny.
Dequan is training for a marathon. He runs 20 miles every 4 days. What is the unit rate for Dequan?
Answer:
Dequan walks 5 miles per day.
Step-by-step explanation:
So solve this problem, we just need to divide 20 miles by 4 days.
20 ÷ 4 = 5
Therefore, Dequan walks 5 miles per day.
Hope this helps! :D
find the general solution for: cos(x+30)=-1
The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.
To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.
In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:
x + 30 = (2n + 1)π
Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:
x = (2n + 1)π - 30
This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.
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when multiplying or dividing by a negative coefficient, you must flip the sign.
•True
or
•False
Answer:
I think the answer is True!
Step-by-step explanation:
Hope this helps
Answer:
true
Step-by-step explanation:
a negative times a negative is a positive same with dividing a negative by a negative
a positive times a negative is also negative
I need help with this please
Answer:
D) 48
Step-by-step explanation:
area = length x width x height
8 x 2 x 3
16 x 3 = 48
4. Kaya ran 1 2/5miles on Monday and 2 1/3 miles on
Tuesday. What was the total distance, in miles, Kaya
ran during those 2 days?
Answer: 3 11/15 please mark brainliest If I helped you.
the question is kayar and 12 by 5 miles on Monday and 21 by three miles on Tuesday what is the total distance in miles kayuren during those two days first phone on Monday how much run that was 12 by 5 miles on Tuesday Shirin to 1 by 3 minus now this whole part and fractional part are written separately so this can be converted into a mixed fraction like when a number is of the form of p by see that is one whole number and fraction then it is written as a + b by c so we can write Monday that was 12 by 5 miles that is
12 by 1 + 2 by 5 that will be 5 will be LCM of 5 + 2 will be 7 by 5 MI and Tuesday it will be 21 by 3 that is 2 + 1 by 3 3 will be the LCM of 3 and 22 will be 6 plus one that is 7 by 3 minus in question is asked that what was the total distance kayar and thus during today's so Monday plus Tuesday will be the total total 27 by 5 + 7 by 3 that will be equal to LCM will be 15 this will be X 307 into 3 + 7 and 25 that
is 21 + 45 upon 15 that will be equal to 56 upon 15 Now since we have to give answer in mixed fraction in whole number and fraction this a bi bi can be divided into a whole number and fraction part when divided by be the remainder is remainder is written here b is written here and question is written here so 56 by 15 can be written as 15 and 23 is 45 three years question remainder will be 11:00 that is 56 - 45 and below will be the denominator will be 15 so this is our answer and the correct
Claire has a bag of candy full of 5 strawberry chews and 15 cherry chews that she eats
one at a time. Which word or phrase describes the probability that she reaches in
without looking and pulls out a strawberry or a cherry chew?
O likely
O an equal chance or 50-59
O certain
O impossible
The phrase that describes the probability that Claire reaches in without looking and pulls out a strawberry or a cherry chew is "an equal chance" or "50-50 chance".
What is probability?Chance is represented by probability. The study of the occurrence of random events is the subject of this mathematical subfield. The value is expressed as a number from 0 to 1. Mathematicians have begun to use the concept of probability to predict the likelihood of certain events.
This is because there are 5 strawberry chews and 15 cherry chews in the bag, so
the probability of drawing a strawberry chew is 5/20 or 1/4, and
the probability of drawing a cherry chew is 15/20 or 3/4.
Despite the fact that neither of the outcomes has the same probability, there are only two possible outcomes
Therefore, the probability of Claire drawing either a strawberry or a cherry chew is an equal chance or 50-50.
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Is each statement true for parallelogram DEFG? Drag each statement into the correct box.
DF=EG
EF=DG
∠DEG ≅ ∠FGE
The statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
What is Quadrilateral?a quadrilateral is a four-sided polygon, having four edges and four corners.
DEFG is a parallelogram.
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
DF=FG is a true statement.
The diagonal passing through a parallelogram are equal in length.
EF=DG is a true statement
The opposite sides of a parallelogram are equal.
∠DEG ≅ ∠FGE are congruent angles.
Because the opposite angles of a triangle are equal in meausure.
Hence, the statements DF=EG, EF=DG and ∠DEG ≅ ∠FGE are true for parallelogram DEFG.
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What is the equation in slope-intercept form for graph shown?
The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.
scale factor = 2:7
SA= 8 cm²
V = 128 cm³
A) SA=98 cm², V = 5488 cm³
B) SA= 686 cm², V = 5488 cm³
C) SA= 98 cm², V = 686 cm³
D) SA=98 cm², V = 784 cm³
E) SA 14 cm². V = 112 cm³
In a certain instant lottery game, the chances of a win are stated as "4 in 25." Express the indicated degree of likelihood
as a probability value between 0 and 1 inclusive
The probability is
the probability of winning a lottery game out of all the games played is 0.16.
We are given that:
In a lottery game, the chances of win are = 4 in 25
So, this means that:
if a person plays 25 games of lottery, then he will probably win 4 games out of them.
So, we get that:
Total games = 25
Win games = 4
Probability = win games / total games
Substituting the values, we get that:
Probability = 4 / 25
P = 0.16
Therefore, we get that, the probability of winning a lottery game out of all the games played is 0.16.
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fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.