Answer:
2
2Step-by-step explanation:
2
The number of calories burned y
after x
minutes of kayaking is represented by the linear function y=4.5x
How many more calories are burned by doing the activity in part (a) than the other activity for 45 minutes?
The number of calories burned y after x minutes of kayaking is
How to find the number of calories burned y?You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight
For kayaking Linear function is y=4.5x
In 45 minute means x=45
so, y=4.5x
45*45
= 20.25
That means in kayaking will burnt 20.25 calories in 45
minutes
Therefore, hiking burns more calories.
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I need help with number 4.
A explanation is needed also!
Thankyou
100 points!
Brainliest
5 stars ⭐️
And a thanks !
Answer: n=4 y=3
Step-by-step explanation:
3n - y = 9
2n + y = 11
n=4
3(4) - y = 9
12 - y = 9
y=3
Adding both
5x=20x=4And
Put in eq(1)
3(4)-y=912-y=9y=3find a formula for the nth term of the sequence where a subscript n is calculated directly from the value of n. 6/1,8/2,10/6
The formula for the nth term of the sequence is: a_n = (2n + 4) / (2^(n-1))
To generate a formula for the nth term of the sequence, let's examine the pattern in the provided terms:
Term 1: 6/1
Term 2: 8/2
Term 3: 10/6
From the provided terms, we can observe that the numerator of each term is increasing by 2, and the denominator is increasing by a factor of 2 for each term.
We can express the numerator of the nth term as 6 + (n - 1) * 2, which simplifies to 6 + 2n - 2 = 2n + 4.
For the denominator, we can express it as 1 * 2^(n-1), which simplifies to 2^(n-1).
Therefore, the formula is:
a_n = (2n + 4) / (2^(n-1))
This formula will give you the value of the nth term based on the value of n.
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If you have a set of cards where the cards shown on their faces of these cards are 47, 83 and 99 prime numbers and blue, yellow and orange. Which cards must you turn around to test the validity of the following proposition:
"If you have a prime number on one face, then the other face would be blue"
The set of cards containing the prime numbers 47 and 83 will need to be turned around to test the validity of the proposition
"If you have a prime number on one face, then the other face would be blue."
Since the proposition is a conditional statement, it must have a true hypothesis (if clause) and a true conclusion (then clause). The hypothesis, "If you have a prime number on one face," is true because both 47 and 83 are prime numbers.
The conclusion, "the other face would be blue," may or may not be true. To test this, we must turn around the cards with prime numbers to see if the other side is blue. We don't need to turn around the card with the number 99 since it is not a prime number, and its color is not specified in the proposition. The explanation for the prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
In other words, a prime number can only be divided by 1 and itself without a remainder. Example of prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 and so on. A set of cards is a group of cards, such as a deck of cards, that is often used for playing games or for performing magic tricks.
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Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile
The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.
The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.
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Find the line's slope and a point on the line.
Answer:
done.
Step-by-step explanation:
yeah+ya .... right?
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
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Write an equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given,
y-intercept 4 and slope -1/5
Now y=-1/5x+4
Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5
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Write the new equation if the graph of f (x) = –2x2 + 5 is translated down 10
units. (Include f(x) in your answer)
HELPPP
PLEASE NO LINKS JUST WRITE OUT THE ANSWER
Answer:
how would i know the answer
Step-by-step explanation:
-6=n/2-10 step by step one plz
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-6 = n/2 - 10
Step 2: Solve for n
Add 10 to both sides: 4 = n/2Multiply 2 on both sides: 8 = nRewrite: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: -6 = 8/2 - 10Divide: -6 = 4 - 10Subtract: -6 = -6Here we see that -6 does indeed equal -6.
∴ n = 8 is the solution to the equation.
Exercise: Shade the regions on Venn diagram for the questions 1 to 15 below. 1) \( A \cup(B \cup C)=(A \cup B) \cup C \) 2) \( A \cap(B \cap C)=(A \cap B) \cap C \)
For both questions 1 and 2, the shaded regions on the Venn diagram would be the same. The equations represent the associative property of set operations, which states that the grouping of sets within parentheses does not affect the final result.
In question 1, the equation \(\( A \cup(B \cup C)=(A \cup B) \cup C \)\)represents the union operation. To shade the regions on the Venn diagram, we can start by considering the innermost parentheses, \(\( B \cup C \)\). This represents the union of sets B and C. Next, we take the union of set A with the result of \(\( B \cup C \).\) Finally, we compare this result to the union of sets A and B, followed by taking the union with set C. Since the equation represents the associative property, the shaded regions would be the same for both sides of the equation.
Similarly, in question 2, the equation \(\( A \cap(B \cap C)=(A \cap B) \cap C \)\) represents the intersection operation. We follow a similar process as in question 1, but instead of taking unions, we take intersections. Again, due to the associative property, the shaded regions on the Venn diagram would be the same for both sides of the equation.
In both cases, the shaded regions represent the elements that belong to the respective sets based on the operations performed. The equations confirm that the grouping of sets within parentheses does not change the final outcome, resulting in the same shaded regions on the Venn diagram.
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In a school, there are 1000 boys and a number of girls. The 48% of the total number of students that were successful in an examination was made up of 50% of the boys and 40% of the girls. What is the number of girls in the school?
Step-by-step explanation:
Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.
The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:
0.48(1000 + g) = 0.5(1000) + 0.4(g)
Simplifying and solving for g:
480 + 0.48g = 500 + 0.4g
0.08g = 20
g = 250
Therefore, the number of girls in the school is 250.
Answer:
250
Step-by-step explanation:
Hi dear,
Firstly, let the girls be G
1000 + G = Total number of students
50% of boy = 1000 × 0.5 = 500
40% of girls = G × 0.4 = 0.4G
0.48 • (1000 + G) = 480 + 0.48G
480 + 0.48G = 500 + 0.4G
Collect Like Terms
0.48G - 0.4G = 500 - 480
0.08G = 20
G = 20/0.08
G = 250
Therefore, the girls are 250( two hundred and fifty)in the school
Some campers are starting a 7-mile hike. If they stop to take pictures every ⅕-mile, how many stops will they make?
Answer:
35
Step-by-step explanation:
I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35
Write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle.
(3x-3) cm and
6 cm
I need a linear equation for for area and a linear equation for perimeter.
Answer:
Assuming that (3x - 3) and 6 are the sides of the rectangle,
Area:
A = l × w
y = (3x - 3) × (6)
y = 18x - 18
Perimeter:
P = 2l + 2w
y = 2(3x - 3) + 2(6)
y = 6x - 6 + 12
y = 6x + 6
The required linear equation for the area and perimeter of the rectangle is y = 18[x - 1] and z = 6[x + 1] respectively.
Given that, to determine the linear equation that represents the area and a linear equation that represents the perimeter of the rectangle.
The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
here,
Length = 3x + 3
Width = 6
Area of the rectangle = y, = length × width
y = [3x - 3 ] × [6]
y = 18x - 18 = 18[x -1]
Perimeter of the rectangle = 2[length + width]
z = 2 [3x - 3 + 6]
z = 2 [3x + 3]
z = 6[x + 1]
Thus, the required linear equation for the area and perimeter of the rectangle is y = 18[x - 1] and z = 6[x + 1] respectively.
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Your parents gave you a gift card for your favorite coffee shop. The card was worth $50 when you got it. Each day, you buy a drink for $3. Which equation shows the value on the gift card over time?
Answer:
im trying my best. im going to say its y=-3x+50
Step-by-step explanation:
Answer:
y=-3x+50
Step-by-step explanation:
A simple random sample of 10 items resulted in a sample mean of 25. The population standard deviation is = 8. Round your answers to two decimal places. a. What is the standard error of the mean, o? 2.
Therefore, the standard error of the mean, σ= 2.53 (approx).
Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.
Given: A simple random sample of 10 items resulted in a sample mean of 25.
The population standard deviation is = 8.
We have to find out the standard error of the mean, σ/Sample Size n,
so we will first calculate σ as;
σ = Population standard deviation = 8
Sample Size n = 10
Substituting values in the formula to find the standard error of the mean, we get;σ/√n = 8/√10 = 2.53 (Round off the value to two decimal places)
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Suppose that in a particular sample, the mean is 12.31 and the standard deviation is 1.47. What is the raw score associated with a z score of –0.76?
The raw score associated with a z-score of -0.76 is approximately 11.1908.
To determine the raw score associated with a given z-score, we can use the formula:
Raw Score = (Z-score * Standard Deviation) + Mean
Substituting the values given:
Z-score = -0.76
Standard Deviation = 1.47
Mean = 12.31
Raw Score = (-0.76 * 1.47) + 12.31
Raw Score = -1.1192 + 12.31
Raw Score = 11.1908
Therefore, the raw score associated with a z-score of -0.76 is approximately 11.1908.
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G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).
For C1(Q) = 3 - 2Q.
For C2(Q) = 4.
2. The AVC function
For C1(Q) = 5/Q + 3 + 20/Q - Q.
For C2(Q) = 3/Q + 4 + 2/Q.
3. The AFC function
For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)
For C2(Q) = 0.
4. To find the AC function
For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5.To find the ATC function
For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)
For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?
1. To find the MC function, we take the derivative of the cost functions with respect to Q.
For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.
For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.
2. To find the AVC function, we divide the cost functions by Q.
For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.
For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.
3. To find the AFC function, we subtract the AVC function from the ATC function.
For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)
= 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.
4. To find the AC function, we add the AVC function to the AFC function.
For
C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5. To find the ATC function, we divide the AC function by Q.
For
C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q
= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).
For
C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q
= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
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(-6-4) divided by (-5)
Answer:
2
Step-by-step explanation:
Simplify the following:
(-6 - 4)/(-5)
Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.
-6 - 4 = -(6 + 4):
(-(6 + 4))/(-5)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
(-10)/(-5)
Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.
The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):
(-2)/(-1)
Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).
(-2)/(-1) = (-1)/(-1)×2 = 2:
Answer: 2
The equivalent value of the fraction is A = 2
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
Let the denominator of the fraction be p
Now , A = p/q
when the value of p = ( -6 - 4 )
And , when the value of q = ( -5 )
On simplifying the equation , we get
A = ( -6 - 4 ) / ( -5 )
So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )
A = ( -6 - 4 ) / ( -5 )
A = ( -10 ) / ( -5 )
On simplifying , we get
Divide by -1 on both numerator and the denominator , we get
A = 10/5
A = 2
Therefore , the value of A = 2
Hence , the fraction is A = 2
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To make tea, use 1
6
6
1
teaspoon of tea per ounce of water plus a teaspoon for the pot. Use the inverse to find the number of ounces of water needed if 7 teaspoons of tea are used.
Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:
1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon
Multiplying both sides by the denominator on the right side gives:
x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon
Simplifying the right side gives:
x + 1 = 42 ounces
Subtracting 1 from both sides gives:
x = 41 ounces
Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.
In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.
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Which of the following expressions are equivalent to -8-(-1) - 5
Answer:
-12
Step-by-step explanation:
3.5x0.2 what does this equall
Answer:
0.7
Step-by-step explanation:
PLEASE HELP FAST I NEED THE CORRECT ANSWER BRAINLIST AND POINTS!
Answer:
y=33
Step-by-step explanation:
substitute -4 in the equation to get y
so (-4)x(-6)+9=33
Answer:
(-4, 33)
Step-by-step explanation:
y = -6x + 9
x = -4
Substitute x into the equation;
y = -6(-4) + 9
y = 24 + 9
y = 33
Answer: 33
PLZZZZZ HELPPPPPPPPPP
A point P lies in a plane and is a distance of r = 37 units from the origin of a Cartesian coordinate system. If the line joining the point and the origin makes an angle of = 350 degrees with respect to the x-axis, what are the (x, y) coordinates of the point P?
The (x, y) coordinates of point P are approximately (31.19, 20.67).
It is stated that the point P lies at a distance of r = 37 units from the origin and forms an angle of θ = 35° with respect to the x-axis, we can use trigonometry to find the x and y coordinates.
Using the trigonometric definitions, we have,
x = r * cos(θ) = 37 * cos(35°) ≈ 31.19
y = r * sin(θ) = 37 * sin(35°) ≈ 20.67
Therefore, the approximate (x, y) coordinates of point P are (31.19, 20.67). The coordinates (31.19, 20.67) represent the position of point P in the Cartesian coordinate system based on the given distance and angle measurements.
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Complete question - A point P lies in a plane and is a distance of r = 37 units from the origin of a Cartesian coordinate system. If the line joining the point and the origin makes an angle of = 35° degrees with respect to the x-axis, what are the (x, y) coordinates of the point P?
Which of the diagram represents the inequality x=1?
Reason: Any point in the shaded yellow region has an x coordinate larger than 1. Points on the dashed boundary line are not part of the solution set.
Answer:
C
Step-by-step explanation:
\(A=x\leq 1\\ B=x\geq 1\\ C=x>1\)
Hope this helps
Briefly explain how to estimate equity beta using a regression
approach and figure out potential problems when estimating
beta.
To estimate equity beta using a regression approach, you would typically follow these steps:
Gather historical price data for the stock or equity you want to analyze, as well as the corresponding market index data. The market index should represent the overall market movement, such as the S&P 500 or the relevant industry index.
Calculate the periodic returns for both the equity and the market index. These returns are typically calculated as the percentage change in prices over a specific time period, such as daily, weekly, or monthly.
Run a linear regression analysis, with the equity returns as the dependent variable and the market index returns as the independent variable. The slope of the regression line represents the beta coefficient.
Interpret the estimated beta coefficient. A beta greater than 1 indicates that the stock tends to be more volatile than the overall market, while a beta less than 1 suggests lower volatility compared to the market. A beta of 1 indicates that the stock moves in line with the market.
Now, let's discuss potential problems when estimating beta:
Non-stationarity: Beta estimation assumes that the relationship between the equity and the market index is stable over time. However, if there are structural changes in the market or the company, the estimated beta may not accurately reflect the future relationship.
Time period selection: The length of the time period used for estimating beta can impact the results. Different time periods may yield different beta estimates, which could introduce variability and uncertainty.
Volatility clustering: Financial markets often experience periods of high volatility followed by periods of low volatility. If the estimation period includes both volatile and calm periods, it may result in an inflated or deflated beta estimate.
Thin trading or illiquidity: Stocks with low trading volumes or limited liquidity may have more pronounced price swings, leading to unreliable beta estimates. The lack of trading activity can make it challenging to capture the stock's true risk characteristics.
Company-specific factors: Beta estimation assumes that all the risk associated with the stock is systematic, or market-related. However, some companies may have unique factors, such as industry-specific risks or company-specific events, which can affect their stock returns and introduce noise in the beta estimation.
It is important to consider these potential problems when estimating beta and interpret the results cautiously, keeping in mind the limitations and assumptions associated with the regression approach.
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in this course, we will be doing lots of counting activities. suppose you have a set with k elements. set up a recurrence relation to count the number of subsets of the set (alternatively, the cardinality of its power set). don't forget your initial condition. hint: suppose sk is the cardinality of the power set of a set of size k. how does that cardinality change when you add one more element?
To count the number of subsets of a set with k elements, we use the recurrence relation sk+1 = 2sk with the initial condition s0 = 1.
For your initial condition, consider a set with 0 elements, which has only one subset - the empty set. Thus, S(0) = 1. Using the recurrence relation and initial condition, you can compute the cardinality of the power set for any set of size k.
To count the number of subsets of a set with k elements, we can set up a recurrence relation.
Let sk be the cardinality of the power set of a set with k elements. When we add one more element to the set, we have two options for each subset: either include the new element or don't include it.
This means that the number of subsets of the set with k+1 elements is twice the number of subsets of the set with k elements. Therefore, we have the recurrence relation: sk+1 = 2sk.
Our initial condition is the number of subsets of an empty set, which is 1 (since the empty set itself is a subset). So s0 = 1.
In this course, when working with counting activities and sets, you can set up a recurrence relation to count the number of subsets of a set with k elements. Let S(k) represent the cardinality of the power set of a set of size k.
When you add one more element to the set, you essentially double the number of possible subsets, as each existing subset can either include or exclude the new element.
Therefore, the recurrence relation can be expressed as:
S(k) = 2 * S(k-1)
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graph of
Y = -x + 1
Which situation is most likely represented by this graph?
Billy starts at home and walks to school at a constant rate. His distance from school is decreasing.
Keisha has 3 pieces of candy and gives them all away to her friend.
Silvio has $3.00 and spends $0.50 every hour of the day.
Answer:
Billy starts at home and walks to school at a constant rate. His distance from school is decreasing.
Step-by-step explanation:
A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.
Answer:
There is a 84% probability that the seed will germinate. (Poor plants)
Step-by-step explanation:
250 = 100%
210 = x
250x = 21000
x = 84