Open the Word document. then Go to the Insert tab on the ribbon and click on the Chart option under the Illustrations group.
When does a graph represents a function?
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
How do you insert a 4 quadrant graph in Word?
Open the Word document.
Go to the Insert tab on the ribbon and click on the Chart option under the Illustrations group.
An Insert Charts dialog box will appear on the screen.
Select the XY (Scatter) option from the left pane
and pick a line graph that you want to insert.
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8. What is an expression equivalent to 5x+10 using the distributive property?
Answer:
5(x+2)
Step-by-step explanation:
can someone please help me with this question
Answer: I think its D
Step-by-step explanation:
What is the equation of a line that contains the points (5, 0) and (5, −2)? (1 point)
Answer: \(x=5\)
Step-by-step explanation:
Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).
will mark brainlist to the correct person who does the step by step correctly and also the correct answer
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
What is the area of the playground?
900 square yards
855 square yards
1,710 square yards
1,305 square yards
Answer:
answer choice C
Step-by-step explanation:
The playground is a rectangle.
To find the area of a rectangle, we use the formula:
Area = Length x Width
The length is 25 yards.
The width is 68 yards.
Plugging these into the area formula:
Area = 25 x 68 = 1,700 square yards
Of the options, the closest choice is:
1,710 square yards
The area is 1,710 square yards.
3.) The first and last terms of an arithmetic series are 40 and 80 . If there are 101 terms in the series, find: a. the common difference b. Sum of the series
a) The common difference is d = 0.4
b) The sum is 6,060
How to find the common difference and the sum?a. To find the common difference (d) of an arithmetic series, we can use the formula:
d = (last term - first term) / (number of terms - 1)
In this case, the first term is 40, the last term is 80, and the number of terms is 101.
Substituting the values into the formula:
d = (80 - 40) / (101 - 1)
d = 40 / 100
d = 0.4
Therefore, the common difference (d) of the arithmetic series is 0.4.
b. To find the sum of the arithmetic series, we can use the formula:
Sum = (number of terms / 2) * (first term + last term)
In this case, the number of terms is 101, the first term is 40, and the last term is 80.
Substituting the values into the formula:
Sum = (101 / 2) * (40 + 80)
Sum = 50.5 * 120
Sum = 6060
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An education budget went from $800,000 to $900,000. What is the approximate percent increase? The approximate percent increase is 13%. The approximate percent increase is 89%. The approximate percent increase is 98%. The approximate percent increase is 113%.
Answer:
The answer is 13%
Step-by-step explanation:
The approximate percent increase is 13%.
What is Percentage Increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.
Percentage Increase FormulaFollowing the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.
Given:
initial =$900,000
Final = $900,000
% increase = $900,000- $800,000/ $800,000 * 100
% increase = 100, 000/8000
% increase = 12.5 %
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Juan is saving money to buy a game. So far he has saved ,$12 which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
$16 :)
Step-by-step explanation:
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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What is the value of StartFraction 1. 6 times 10 Superscript 14 Baseline Over 3. 2 times 10 Superscript 7 Baseline EndFraction in scientific notation? 0. 5 times 10 Superscript 2 5. 0 times 10 Superscript 3 5. 0 times 10 Superscript 6 0. 5 times 10 Superscript 7.
The value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline EndFraction in scientific notation is 5.0 times 10 Superscript 6.
To convert the given expression to scientific notation, we can simplify the fraction by dividing the numerator and denominator by their common factor, which is 10 Superscript 7. This results in StartFraction 1.6 times 10 Superscript 7 Baseline Over 3.2 Baseline EndFraction.
Next, we can simplify the fraction by dividing the numerator and denominator by 0.32, which is equivalent to 3.2 times 10 Superscript 1. This gives us StartFraction 5 times 10 Superscript 6 Baseline Over 1 Baseline EndFraction.
Finally, in scientific notation, we represent the number as a decimal between 1 and 10 multiplied by the corresponding power of 10. Therefore, the value is 5.0 times 10 Superscript 6.
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Mr. Sims wants to buy a new truck. He sold his old truck for $3,582, and he has $4,979 in the bank. If a new truck costs $9,005, how much more money does he need in order buy the new truck?
Answer:
$444
Step-by-step explanation:
3,582 + 4,979 = 8,561
9,005 - 8,561 = 444
what is 1842 plus 5939
Answer:
7781
Step-by-step explanation:
1842+5939=7781
Consider P(x) = 9x8 – 18x*–20x + 15, then P(x) = 0 has (A) atleast one real root in [0, 313, (B) atleast one real root in [51/5, 31/3 [, (C) atleast one real root in [0, 51/5, C (D) no real root in [0, 31/3]
Option (C) is correct. The equation\(P(x) = 9x^8 - 18x^2 - 20x + 15\) can be analyzed to determine its real roots within specific intervals. The equation P(x) = 0 has at least one real root in the interval [51/5, 31/3].
To analyze the roots of P(x) = 0 within the given intervals, we can use the Intermediate Value Theorem. For option (A), the interval [0, 313] does not provide enough information about the location of the real roots. Option (B) suggests an interval [51/5, 31/3], which covers a specific range and may potentially contain real roots. However, option (C) is more precise, stating that the real root lies within the interval [0, 51/5]. Lastly, option (D) claims that there are no real roots within the interval [0, 31/3]. Based on these options, we can conclude that option (C) is correct, as it specifies a precise interval that includes at least one real root.
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Christopher rides his bike to and from school every day. Please answer in a fraction and make it easy for an elementary kid to understand
Answer:
35/8
Step-by-step explanation:
Hopefully, this helps.
Your credit card has a baiance of \( \$ 3052.41 \). How many years will it take to pay the balance to 0 if the card has an annual interest rate of \( 18 \% \) and you will make payments of \( \$ 55 \)
It would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.
To calculate the time it will take to pay off a credit card balance, we need to consider the interest rate, the balance, and the monthly payment. In your question, you mentioned an annual interest rate of 18% and a monthly payment of $55.
First, let's convert the annual interest rate to a monthly interest rate. We divide the annual interest rate by 12 (the number of months in a year) and convert it to a decimal:
Monthly interest rate = (18% / 12) / 100 = 0.015
Next, we can calculate the number of months it will take to pay off the balance. Let's assume there are no additional charges or fees added to the balance:
Balance = $3052.41
Monthly payment = $55
To determine the time in months, we'll use the formula:
Number of months = log((Monthly payment / Monthly interest rate) / (Monthly payment / Monthly interest rate - Balance))
Using this formula, the calculation would be:
Number of months = log((55 / 0.015) / (55 / 0.015 - 3052.41))
Calculating this equation gives us approximately 140.3 months.
Since we want to find the number of years, we divide the number of months by 12:
Number of years = 140.3 months / 12 months/year ≈ 11.7 years
Therefore, it would take approximately 11.7 years to pay off the credit card balance of $3052.41 with a monthly payment of $55 and an annual interest rate of 18%.
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let be a differentiable function where 9 and 4 and 3. if we change by -0.7 and we change by 0.3 then we can expect the value of to change by approximately what amount
If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.
Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"
Using the linear approximation formula, we have:
\(Δf(x) ≈ f'(9) Δx\)
where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.
We can rearrange the formula to solve for Δf(x):
\(Δf(x) ≈ f'(9) Δx\)
Δf(x) ≈ 3(-0.7)
Δf(x) ≈ -2.1
This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.
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Alan ran 3.1 miles in 35 minutes. Courtney ran 3.1 miles 5 minutes faster than Alan. Which number line can be used to find how long it took Courtney to run 3.1 miles?
Answer:
.................
Step-by-step explanation:
/..........
two kinds of pine trees, bristlecone and aleppo, are planted in rows. in each row, the ratio of bristlecone to aleppo is 10:910:9. altogether, 600600 bristlecone pine trees are planted.how many aleppo pines are planted?
There are 288 Aleppo pines are planted in each ratio.
First, let's determine the total number of pine trees in each row. Since the ratio is 10 : 9, that means that for every 10 bristlecone pine trees planted, 9 Aleppo pine trees were planted. Therefore,
10 bristlecone pine trees + 9 Aleppo pine trees = 19 pine trees in each row.
Next, we need to determine how many rows of pine trees were planted. Since 600 bristlecone pine trees were planted, we can divide 600 by 19 to determine the number of rows.
600 ÷ 19 = 31.578947368421
Therefore, there were 32 rows of pine trees planted.
Now, we need to calculate how many Aleppo pine trees were planted. Since we know that for every 10 bristlecone pine trees planted, 9 Aleppo pine trees were planted,
So, the number of Aleppo pine trees planted.
32 x 9 = 288
Therefore, 288 Aleppo pine trees were planted.
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Rose Marie is shopping for some new shoes. The shoes she wants cost
$47.25. The sales tax in Rose Marie's city is 8%. Write two algebraic
expressions to represent the price of the shoes, s, plus 8% of the cost. One
expression should be a sum and the other should be a product.
Answer:
Step-by-step explanation:
A bucket contains 72 red crayons, 48 green crayons, 48 blue crayons, and 48 yellow crayons. The art teacher also has 120 peices of drawing paper. What is the largest number of identical kits the art teacher can make using all the crayons and
All of the paper
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
\(72 = 2^3 * 3^2\\\\48 = 2^4 * 3\\\\48 = 2^4 * 3\\\\48 = 2^4 * 3\\\\\)
The GCD of the crayons is \(2^3 * 3\), which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = \(2^3 * 3 * 5\)
The GCD of the drawing paper is also \(2^3 * 3\), which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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If f(x)=7x+3 ,what is f^-1(x)?
Answer:
\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)
Step-by-step explanation:
Swap f(x) and x position of the function, thus:
\(\displaystyle{x=7f(x)+3}\)
Then solve for f(x), subtract 3 both sides and then divide both by 7:
\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)
Since the function has been inverted, therefore:
\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)
And we can prove the answer by substituting x = 1 in f(x) which results in:
\(\displaystyle{f(1)=7(1)+3 = 10}\)
The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):
\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)
The input is 1. Hence, the solution is true.
Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to have a win:the ration is 2:1 ? Explain your answer
Answer: 2 more games
Step-by-step explanation:
From the question, we are informed that a baseball team has won 6 game and lost 4 game.
We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.
Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.
Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.
The radius of a circle is 6 ft. Find its circumference in terms of \piπ.
The circumference of the circle in terms of π is:
C = (12 ft)*π
How to find the circumference of a circle?
We know that for a circle of radius R, the circumference is given by:
C = 2*π*R
Where π = 3.14159...
Here we know that the radius is 6 ft, and we want the circumference in terms of π, so we will get:
C = 2*π* 6ft = (12 ft)*π
That is the circumference in terms of π
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Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
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Rob and Gina bought a decorative side table to put against their wall The table is a regular hexagon
Regular hexagon is a closed shape polygon having six equal sides and six equal angles.
Regular HexagonA regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles.
Each angle of the regular hexagon measures 120 degrees.
A hexagon has six angles and the sum of all six interior angles is 720 degrees. In a regular hexagon, each interior angle measures 120 degrees.
Polygon
A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices of a polygon.
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In consecutive odd integers, three times the largest integer is fifteen less than two-thirds the smallest integer. find both integers. someone help please
Value of both the integers as three times the largest consecutive integer is 15 less than 2/3 the smallest one is -7, -9.
As given,
Let x, x +2 be two consecutive odd integers
Three times largest integer=3( x+2)
15 less than 2/3 smallest integer=(2/3)x -15
Equation :
3(x+2)=(2/ 3)x -15
⇒ 3x +6=(2x -45)/3
⇒ 9x-2x= -18 -45
⇒ 7x=-63
⇒ x =-9
and x+2 =-7
Therefore, value of both the integers as three times the largest consecutive integer is 15 less than the 2/3 the smallest one is -7, -9.
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Answer in graph form. Find <0 if sin0= 7/10 and cot0 is positive.
Sin(0)=-7/10
To get the right triangle's known sides, use the sine definition. Each value's sign is determined by the quadrant.
sin(0)=opposite/hypotenuse
Find the triangle formed by the unit circle's neighboring side. Use the Pythagorean theorem to determine the remaining side since the hypotenuse and opposite sides are known.
Adjacent=√hypotenuse²−opposite²
Change the equation's known values with new ones.
Adjacent=√(10)²−(7)²
Inside the radical, simplify.
Raise10the strength of2.
Adjacent=√100−(7)²
Raise−7the strength of2.
Adjacent=√100-49
Multiply −1 by 49.
Adjacent=√100−49
Subtract49 from 100.
Adjacent=√51
Find the cosine value.
Find the value of using the cosine definition.
cos(0).
cos(0)=adj/hyp
Replace with the known values.
cos(0)=√51/10.
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To get the right triangle's known sides, use the sine definition. The quadrant determines each value's sign.
The value of cos(0) exists √51/10.
What is meant by trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous unique trigonometric identities that relate a triangle's side length and angle.
To get the right triangle's known sides, use the sine definition. The quadrant determines each value's sign.
sin(0) = opposite/hypotenuse
To find the triangle formed by the unit circle's neighboring side. Use the Pythagorean theorem to determine the remaining side since the hypotenuse and opposite sides are known.
Adjacent = √hypotenuse² − opposite²
substitute the values in the above equation, we get
Adjacent = √(10)² − (7)²
Adjacent = √100 - 49
simplifying the above equation, we get
Adjacent = √51
To find the cosine value.
cos(0) = adjacent/hypotenuse
Replace with the known values.
cos(0) = √51/10.
Therefore, the value of cos(0) = √51/10.
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Central Market sells 5 jars of jam for $3.00. Valley Market sells jars of jam at 59 cents per jar. Yasmin bought 10 jars from Central Market, and Nadia bought 10 jars from Valley Market.
Answer:
Yasmin will spend $6
Nadia will spend $5.9
Step-by-step explanation:
Step one:
the cost of 5 jars at Central market is $3
the cost of 1 jar = 3/5= $0.6
60 cents per jar
we are told that Valley Market sells jars of jam at 59 cents per jar.
$0.59
Step two:
If Yasmin buys 10 jars from Central Market,
Yasmin will spend = 10*0.6= $6
If Nadia buys 10 jars from Valley Market.
Nadia will spend = 10*0.59= $5.9
The market difference is 6-5.9= $0.1
Show that if m
∗
(A)=0, then m
∗
(AUB)=m
∗
(B)
A and B have the same elements, the measure of AUB will be equal to the measure of B.
To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
- By definition, a null set has a measure of 0.
- Since m*(A) = 0, it implies that A has no elements or its measure is 0.
- Therefore, A is a null set.
2. If A is a null set, then AUB = B:
- Since A is a null set, it means that it has no elements or its measure is 0.
- In set theory, the union of a null set (A) with any set (B) results in B.
- Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
- Since AUB = B, it implies that both sets have the same elements.
- The measure of a set is defined as the sum of the measures of its individual elements.
- Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
- Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).
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how many are 9 raised to 3 ???
Answer:
\(\huge \boxed{729}\)
Step-by-step explanation:
9 raised to 3 is the base 9 with an exponent of 3.
\(9^3\)
9 is being multiplied by itself 3 times.
\(9^3 =9 \times 9 \times 9 = 729\)