Answers
a) The volume of the hemisphere is V₁ = 261.80 km³
b) The volume of the hemisphere is V₂ = 1,526.81 feet³
Given data ,
a)
Let the volume of the hemisphere be represented as V₁
where the radius of the hemisphere is r₁ = 5 km
And , volume of hemisphere is V = ( 2/3 )πr³
On simplifying , we get
V₁ = ( 2/3 )π ( 5 )³
V₁ = 261.80 km³
b)
Let the volume of the hemisphere be represented as V₂
The diameter of the hemisphere = 18 feet
where the radius of the hemisphere is r₁ = 9 feet
And , volume of hemisphere is V = ( 2/3 )πr³
On simplifying , we get
V₂ = ( 2/3 )π ( 9 )³
V₂ = 1,526.81 feet³
Hence , the volume of the hemisphere is solved
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Related Questions
Max has 382 baseball cards, Ali has 4x more, how many more does Ali have? What is the total of the cards added together?
Answers
Answer:
Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.
Step-by-step explanation:
382 x 4 = 1528
1528 - 382 = 1146
1528 + 382 = 1910
Answer:
If Max=382 and Ali=4x\(4x = 4 \times 382 = 1448\)total cards added together is 328+1448=2776Ms. Ironperson and Mr. Thoro are making
Avenger posters to give children when they
visit Avenger Academy. Ms. Ironperson has
completed 12 posters and will complete 6
more per day. Mr. Thoro has not started yet
but can make 12 per day. At some point Mr.
Thoro will catch up and both will have finished
the same number of posters. When this does
happen, how many posters will each Avenger
have completed?
If x denotes the number of days and y denotes
the number of posters, what are the equations
needed to solve this problem? (7 points)
Answers
Answer:
y = 12 + 6x
y = 12x
Step-by-step explanation:
From the information provided, the following equations are derived:
y = 12 + 6x ------- Eqn 1
y = 12x ------- Eqn 2
Since Eqns 1 and 2 have the same subject, we equate them to solve for x. We have:
12x = 12 + 6x
Putting like terms together, we have:
12x - 6x = 12 ⇒ (12 - 6)x = 12
6x = 12 ⇒ x = 2
x = 2
Substitute x into Eqn 1 or 2
Eqn 1
y = 12 + 6x
y = 12 + 6(2) = 12 + 12
y = 24
Eqn 2
y = 12x
y = 12(2)
y = 24
It means that it will take Ms. Ironperson and Mr. Thoro 2 days apiece to produce the same number of posters at the current rate (which is 24 posters). Both Ms. Ironperson and Mr. Thoro will individually take 2 days to produce 24 Avenger posters apiece.
If the function y=sin(x) is transformed to y = sin(2x), how does the graph change?
It is stretched vertically.
It is compressed vertically.
It is stretched horizontally.
It is compressed horizontally..
Answers
Step-by-step explanation:
The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.
The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.
To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:
For y = sin(x):
x = 0, y = 0
x = π/2, y = 1
x = π, y = 0
x = 3π/2, y = -1
x = 2π, y = 0
For y = sin(2x):
x = 0, y = 0
x = π/2, y = 0
x = π, y = 0
x = 3π/2, y = 0
x = 2π, y = 0
As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).
Therefore, the correct statement is: It is compressed horizontally.
Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Answers
The given box plot represented by the data sets in option A and B.
From the given box plot, we have
Minimum value = 3
Maximum value = 18
First quartile (Q1) = 7
Third quartile (Q3) = 13
Median = 10
Option A:
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
Median = 12
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option B:
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Option C:
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option D:
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Therefore, the correct options are B and D.
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Maria has $40, which is 170% of the amount that Kelly has. How much money, in dollars, does Kelly have?
Answers
We need to know about percentage to solve the given problem. The amount of money that Kelly has in dollars is approximately $24.
Percentage is a number or ratio expressed as a ratio or fraction of 100. If for example we have to find out one-fourth of a quantity then we can say that we need to find 25% of the quantity. In the given question we know that Maria has $40 which is 170% of the money that Kelly has, we need to find out the amount of money that Kelly has.
170/100x a=40
a=40x100/170=23.5
Therefore the amount that Kelly has in dollars is $23.5 approximately $24.
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Write an expression equivalent to 2(x+5).
Answers
Answer: 2x+10
same expression, just simplified
2•x=2x
2•5=10
=2x+10
Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
Answers
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
Answers
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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One batch of brownies calls for 1 box of brownie mix and the ingredients shown.
Fudge-like brownie
2 eggs
1/4 cup of water
1/2 cup of oil
Cake-like brownie
3 eggs
1/4 cup of water
1/2 cup of oil
a. What amounts of eggs, water, and oil would you need for 2 batches of fudge-like brownies?
b. What amounts of eggs, water, and oil would you need for 3 batches of cake-like brownies?
Sorry if it's all confusing. If you don't know, then don't answer. Please answer if you know ASAP.
Answers
a) The amounts needed for 2 batches of fudge-like brownies are of:
Eggs: 4.Water: 1/2 cup.Oil: 1 cup.b) The amounts needed for 3 batches of cake-like brownies are of:
Eggs: 9.Water: 0.75 cups.Oil: 1.5 cups.How to obtain the needed amounts?The needed amounts for each case are obtained applying the proportions in the context of this problem.
Hence:
The amounts needed for 2 batches of fudge-like brownies are obtained multiplying the amounts given for 1 box of fudge-like brownie (2 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 2.The amounts needed for 3 batches of cake-like brownies are obtained multiplying the amounts given for 1 box of cake-like brownie (3 eggs, 1/4 of a cup of water and 1/2 of a cup of oil) by 3.More can be learned about proportions at https://brainly.com/question/24372153
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The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies are:
eggs = 4cup of water = 2/4cup of oil = 1The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies are:
eggs = 9cup of water = 3/4cup of oil = 3/2What is the ingredients needed for 2 batches?One batch of Fudge-like brownies:
2 eggs
1/4 cup of water
1/2 cup of oil
One batch of Cake-like brownie
3 eggs
1/4 cup of water
1/2 cup of oil
The amounts of eggs, water, and oil needed for 2 batches of fudge-like brownies can be determined by multiplying each ingredients by 2
eggs = 4
cup of water = 2/4
cup of oil = 1
The amounts of eggs, water, and oil needed for 3 batches of cake-like brownies can be determined by multiplying each ingredients by 3
eggs = 9
cup of water = 3/4
cup of oil = 3/2
Therefore, the ingredients needed for the other batches is determined by multiplying each ingredients by the number of required batches.
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given that the dice lands on a number greater than or equal to 5, what is the probability that the selected die is die
Answers
The probability of getting a number greater than 5 is = 1/6
Option (b) is correct.
The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.
Die with numbers; 1,2,3,4,5,6
A number greater than 5 on the dice
A number greater than 5 is,6 out of which only one Number appears while throwing dice
So, using the formula :
probability(number greater than 5)= favorable outcome/ total number of outcomes
The probability of getting a number greater than 5 is = 1/6
The complete question is -
The probability of getting a number greater than 5 in throwing a die is
a) 1/3
b) 1/6
c) 3/4
d) 2/3
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Evaluate y/5+1 x / 6 when x = 6 and y = 5
Answers
Step-by-step explanation:
Just follow PEMDAS and u get the answer. (Parentheses, Exponents, Multiplication, and Division (from left to right), Addition and Subtraction (from left to right).)
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
$$
Answers
The y-intercept of the line representing Beatrice's monthly music is 20
How to determine the y-intercept of the lineFrom the question, we have the following parameters that can be used in our computation:
y = -.95x + 20
To calculate the y-intercept of the line, we set x = 0
So, we have
y = -.95 * 0 + 20
Evaluate
y = 20
Hence, the y-intercept of the line representing Beatrice's monthly music is 20
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Question
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
The equation is y = -.95x + 20
Find the area of the parallelogram 9.9in 5.5in
Answers
Answer:
54.45 in²
Step-by-step explanation:Let the base and height be 9.9 inches and 5.5 inches respectively.
Formula;
Area of parallelogram = Base × Height
Substitute the base and the height in the formula:
⇒ Area of parallelogram = Base × Height⇒ Area of parallelogram = 9.9 × 5.5Evaluate the area of the parallelogram:
⇒ Area of parallelogram = 9.9 in × 5.5 in⇒ Area of parallelogram = 54.45 in²
Answer:
54.45 in²
Step-by-step explanation:
Formula
Area of a parallelogram = base × height
If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram). Therefore, we can use the formula with these values to calculate the area.
Given:
base = 9.9 inheight - 5.5 in⇒ area = 9.9 × 5.5 = 54.45 in²
{−2x+7y=−7
−5x+14y=−7
Answers
Answer: x=7, y=2
Step-by-step explanation:
1. -2(-2x+7y=-7) -> 4x-14y=14
2. 4x-14y=14
-5x+14y=-7
3. -x = 7, x=7
4. -5(7)+14y=-7
5. -35+14y=-7
6. 14y=28, y=2
Answer: \(x=-7\), \(y=-3\)
Step-by-step explanation:
\(\left \{ {-2x+7y=-7} \atop {-5x+14y=-7} \right.\)
multiply 2 at \(-2x+7y=-7\)
\(-4x+14y=-14\)
subtract \(-4x+14y=-14\) and \(-5x+14y=-7\)
\(x=-7\)
put \(x=-7\) at \(-2x+7y=-7\)
\(7y=-21, y=-3\)
If h(x)=5x-6 which expression is equivalent to (h+h)(2)?
A 5(2+2)-6
B 5[5(2)-6]-6
C 52-6+52-6
D 5(2)-6+5(2)-6
Answers
The equivalent of (h+h)(2) of the function h(x) = 5x - 6 is 5[5(2) - 6] -6 which is option B
What is a function?
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
h(x) = 5x - 6
(h + h)(x) = h(x) in x. This means put the function in h(x)
so x = 5x - 6
so (h + h)(x) = 5(5x-6) -6
if x = 2,
we have (h + h)(2) = 5[5(2) -6] -6
In conclusion the expression 5[5(2) -6] -6 is equivalent to (h+h)(2)
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The question is in the picture.
Answers
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
A coin having probability p=2/3 of coming up heads is flipped 6 times. Compute the entropy of the outcome of this experiment.
Answers
The entropy of the outcome of this experiment = 9
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that,
A coin having probability p=2/3
Heads is flipped 6 times
If the coin is flipped 6 times
The Total Number of Trial in the Experiment =2/3
It comes up heads 6 times
This Means: Number of Successful Outcome of HEADS =6
In an experimental probability,
Experimental probability of the coin’s coming up heads
=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment
= 6/(2/3)
= 6*3/2
= 18/2
= 9
Therefore,
The entropy of the outcome of this experiment = 9
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There are 567 calories in one hot dog. If the Carsey family ate 6,237
calories worth of hot dogs, how many hot dogs did they eat?
Answers
Answer:
11 hot dogs
Step-by-step explanation:
divide 6237 by 567
Answer:
11 hot dogs
Step-by-step explanation:
567/6237=11
I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.
Answers
Answer:
120 magazines
Step-by-step explanation:
1.15x = 138
x = 120 magazines before increase
Check:
before increase + increase = sold
120 + 120(.15) = 138
120 + 18 = 138
138 = 138
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
Choose the expression that is equivalent to the expression n − n + n − n.
Answers
Select the correct texts in the passage.
Sara is having some trouble choosing insurance coverage, so she is discussing her possible choices with a friend.
Which of Sarah's reasons for rejecting insurance are reasonable?
All this insurance is so expensive! I'm not getting vision insurance because I don't have any problems with my glasses. Life Insurance doesn't
seem worth it because I take good care of myself. As for car insurance, I'm going with the minimum coverage because I drive an old car, and
accidents aren't very common on my commute.
Answers
Answer:
"Because I don't have any problems with my glasses"
Step-by-step explanation:
Just because someone takes good care of themselves doesn't mean that something can happen, and having an older car is a higher reason as for why you should get insurance
We can conclude that the reasonable reason for rejecting Sarah's insurance is given in option - {1} : I'm not getting vision insurance because I don't have any problems with my glasses.
What is passage?A passage is usually is a specific portion of a given written text.
Given is the text passage as -
Sara is having some trouble choosing insurance coverage, so she is discussing her possible choices with a friend
Given is to find which of the mentioned Sarah's reasons for rejecting insurance are reasonable.
The reasonable reason for rejecting Sarah's insurance is given in
option - {1} : I'm not getting vision insurance because I don't have any
problems with my glasses
Therefore, we can conclude that the reasonable reason for rejecting Sarah's insurance is given in option - {1} : I'm not getting vision insurance because I don't have any problems with my glasses.
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Convert 4325 to base 20.
Answers
Answer:
216.1.4 is 4325÷20 so yup that's what I think
The result of converting 4325 to base 20 is 5
What are the digits of basses?When you see a number on a line in Bass TAB, it means you should play a specific note on that string. The fret numbers on a string are represented by the numbers on Bass TAB. The fifth fret on your bass is represented by the number 5. If you play a standard bass guitar, you will notice that it only has four strings. E, A, D, G is the standard tuning for a four-string bass (the same as the four lowest strings on the guitar but one octave lower). Fourths are used to tune the bass strings. A 4-string will probably suffice for most styles.Therefore,
Converting 4325 to base 20.
4 × 20³ = 32,000
3 × 20² = 1,200
2 × \(20^{1}\) = 40
5 × \($20^{0}\) = 5
Adding all to get Ans = \($4325_{20}\)
Hence, The result of converting 4325 to base 20 is 5
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Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Answers
Answer:
d
Step-by-step explanation:
The explicit rule for this sequence in simplified form is,
⇒ \(a_{n}\) = 500n + 30,000
Where, n is number of months.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Mr. Red's first year salary is $30,000 and it increases by $500 each year.
Now, Let number of months = n
We can formulate explicit rule for this sequence in simplified form as,
⇒ \(a_{n}\) = 500n + 30,000
Therefore, The explicit rule for this sequence in simplified form is,
⇒ \(a_{n}\) = 500n + 30,000
Where, n is number of months.
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.
Choose correct way to write three dollars and seventeen cents using the dollar symbol.
$31.07
3.17 ¢
$3.17¢
$3.17
Answers
Answer:
$3.17
Step-by-step explanation:
Since it wanted you to write three dollars ($3) and 17 cents ($0.17) using the dollar symbol, $3.17 would be the correct answer.
Previous question
tank contains 9,728 L of water. At the end of each subsequent day, half of the water is removed and not replaced. How much water is left in the tank after 9 days?
There is approximately 10 L of water left in the tank.
Round to the nearest whole number as needed.)
Answers
The quantity of water in the tank after 9 days is 19 liters.
How much water is in the tank after 9 days?The exponential equation that can be used to determine the quantity of water in the tank after 9 days is : 9728 x (0.5)^t
Where t is equivalent to the number of days
9728 x (0.5)^9 = 19 liters
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Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes
Answers
Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.
The graph is given below.
From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.
Then the correct option is A.
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Which equation is equivalent to the given equation?
-4(1 – 5) + 8x = 9x - 3
Answers
Answer: Hello Luv........
Isolate the variable by dividing each side by factors that don't contain the variable.
x=19
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
what are cube roots of unity ??
Answers
\(\huge\bold\red{₳₦₴₩ɆⱤ:-}\)
The root of unity is a number which is complex in nature and gives 1 if raised to the power of a positive integer n. These roots are used in different branches and topics of maths like number theory. It is also called as de Moivre system.
What are Cube Roots of Unity?
There are a total of three cube roots of unity which are as follows:
Cube Root of Unity Value Nature of Cube Root
1 Real
−½ + i √(3/ 2) Complex
−½ – i √(3/ 2) Complex
Here, a = 1 is the real cube root of unity while a = – ½ + i √(3/ 2) and a = – ½ – i √(3/ 2) are the imaginary or complex cube roots of unity.
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