The model "4 fraction bars. The fraction bars are labeled 1 and each have 6 boxes underneath labeled one-sixth" shows 4 divided by one-sixth = 24
The correct answer option is option A
How to use division problem to represent a model?Given:
4 fraction bars
If each fraction bars has 6 boxes, then, the total boxes for 4 fraction bars can be solved using ratio
1 fraction bars : 6 boxes
4 fraction bars : x
Equate the ratios
1 : 6 = 4 : x
1/6 = 4/x
cross product
1 × x = 4 × 6
x = 4 × 6/1
Divide by the reciprocal of 6/1
x = 4 ÷ 1/6
Hence the division problem that modelled the expression is 4 ÷ 1/6
4÷1/6 = 4×6/1
4÷1/6 = 24
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Now that you have your primary segmentation variables identified, what should your next step be?
After identifying primary segmentation variables, an effective segment should be the next step.
What is a variable?A variable can change, in contrast to a numerical number, which has to remain constant, hence the name. As implied by the name, a variable is something that changes. Its true value can therefore change. A variable in mathematics is a sign and placeholder for a variable quantity or another mathematical object. As with any idea, variables are easier to use the more you use them. A variable is so named because it is capable of changing, as opposed to a numerical value, which must remain constant. Maths classes tend to get harder because they will expect you to use more variables in different ways.
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After identifying primary segmentation variables, an effective segment should be the next step.
What is variable?A variable can change, in contrast to a numerical number, which has to remain constant, hence the name. As implied by the name, a variable is something that changes. Its true value can therefore change. A variable in mathematics is a sign and placeholder for a variable quantity or other mathematical object. As with any idea, variables are easier to use the more you use them. A variable is so named because it is capable of changing, as opposed to a numerical value, which must remain constant. Maths classes tend to get harder because they will expect you to use more variables in different ways.
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6 is added to the
product of 7 and a number.
The equation model of the given statement in question is 6 + 7× x.
What are equation models and arithmetic?The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.
In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.
Given that;
6 is added to product of a number and 7
Now,
Let, the number multiplied by 7 be x,
=7*x
6 is added to the product;
= 6 + 7 × x
Therefore, the equation of model will be given as 6 + 7 × x;
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A particle starts moving at the origin. Consider the acceleration function a(t)= 6ti+12t2j−6tk. Answer the following. a. Find the velocity function, with v(0)=i−j+3k b. Find the speed of the particle. c. Find the position function r(t) with r(0)=0i+0j+0k
a) Velocity function, with v(0)=i−j+3k:Explanation:Given,Acceleration function
a(t) = 6ti + 12t²j − 6tkIntegrating acceleration function we get,Velocity function v(t) = Integration of a(t)dt= 3t²i + 4t³j - 3t²kLet the initial velocity be v₀ and time be t. Therefore,Velocity function v(t) = v₀ + Integration of a(t)dtGiven v(0)=i-j+3k, substituting t=0 we get,v₀ = i - j + 3kSubstituting the value of v₀, we get the velocity function as,v(t) = (i - j + 3k) + 3t²i + 4t³j - 3t²kTherefore, velocity function with v(0)=i−j+3k is v(t) = (i - j + 3k) + 3t²i + 4t³j - 3t²k. Answer more than 100 words.b) Speed of the particle:
Speed is the magnitude of velocity of the particle and can be calculated by finding the magnitude of velocity function we got in the previous part. because initial velocity of the particle is given by v(0)=i-j+3kThus,Speed of the particle at any time t is given by Speed = Magnitude of v(t)At t=0, v(0) = (i - j + 3k) + 3(0)²i + 4(0)³j - 3(0)²k= i - j + 3kSo,Speed = Magnitude of v(t) = |(i - j + 3k) + 3t²i + 4t³j - 3t²k|Speed = sqrt{(i-j+3k)² + (3t²)² + (4t³)² + (-3t²)²}Speed = sqrt{1+9t^4+16t^6+9t^4}Speed = sqrt{25t^4+16t^6}Therefore, the speed of the particle is given by Speed = sqrt{25t^4+16t^6}. Answer more than 100 words.c) Position function r(t) with r(0)=0i+0j+0k:Explanation:We know that velocity is the derivative of position function. We need to integrate the velocity function that we found in the first part to find the position function of the particle.
Given that the initial position of the particle is r(0)=0i+0j+0k. Let us consider the velocity function we found in the first part again,v(t) = (i - j + 3k) + 3t²i + 4t³j - 3t²kIntegrating this function we get,Position function r(t) = Integration of v(t)dt= (i - j + 3k)t + t³i + t⁴j - tk²Given r(0)=0i+0j+0k, substituting t=0 we get,r(0) = (i - j + 3k)0 + 0³i + 0⁴j - 0k²= 0i + 0j + 0kSubstituting the value of r(0), we get the position function as,r(t) = (i - j + 3k)t + t³i + t⁴j - tk²Therefore, the position function with r(0)=0i+0j+0k is r(t) = (i - j + 3k)t + t³i + t⁴j - tk².
We have found out the velocity function, speed of the particle and position function of the particle for the given acceleration function a(t)= 6ti+12t2j−6tk. By integrating the acceleration function, we found the velocity function and used the initial velocity to find out the velocity function with the initial value. Further, we calculated the speed of the particle by finding the magnitude of the velocity function. Lastly, we integrated the velocity function to obtain the position function and used the initial position to find out the position function of the particle.
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the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
The perimeter of the square is 52 units.
In this question,
the points (1, -2) and (-4, 10) are adjacent vertices of a square.
We need to find the perimeter of the square
The side length of a square is the distance between given two points.
Let a be the side length of the square.
\(a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13\)
The side length of the square is 13 units.
so, the perimeter of a square would be,
P = 4a
P = 4 × 13
P = 52 units
Therefore, the perimeter of the square is 52 units.
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which statement best describes the solution to the equation below ?
3/4(12x+8)=2/3(6x+9)
1. The equation has no solutions.
2. The equation has infinitely many solutions.
3. The equation has two solutions: x=6 and x=12
4. The equation has exactly one solution x=0
use the data below to complete the following calculation 58,85,14,59,79,92,61,50
Okay, here we need to calculate the summation of the data, lets do it:
\(\sum ^{}_{}x=58+85+14+59+79+92+61+50=498\)\(\sum ^{}_{}x^2=58^2+85^2+14^2+59^2+79^2+92^2+61^2+50^2=35192\)\((\sum ^{}_{}x)^2=(58+85+14+59+79+92+61+50)^2=(498)^2=248004\)
Verbal
2. What is the difference between the input and the output of a function?
The input and the output of a function are key components in understanding how a function operates. The input refers to the value or values that are given to the function as an argument, while the output refers to the result or results that the function returns after processing the input.
In other words, the input is what you provide to the function, and the output is what you get in return. The input can be a single value or a set of values, depending on the requirements of the function. The output can also be a single value or a collection of values, again depending on the function's purpose.
It's important to note that the input and output of a function are not always the same. The function may perform calculations or transformations on the input, and the output may be different from the input. This transformation is what gives functions their ability to perform specific tasks and solve problems.
In summary, the input is what you give to a function, and the output is what you get in return after the function processes the input.
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15≥3x-3>-12
What would the answer to this be
Answer:
-3 < x ≤ 6
(-3, 6]
Step-by-step explanation:
15 ≥ 3x - 3 > -12
+3 +3 +3
------------------------
18 ≥ 3x > -9
÷3 ÷3 ÷3
-------------------
6 ≥ x > -3
-3 < x ≤ 6
(-3, 6]
I hope this helps!
at 2:40 p.m. a plane at an altitude of 30,000 feetbegins its descent. at 2:48 p.m., the plane is at25,000 feet. find the rate in change in thealtitude of the plane during this time.
The rate of change in altitude of the plane during the time is 625 ft/min.
Rate of changeGiven the Parameters:
Altitude at 2.40 pm = 30000 feets
Altitude at 2.48 pm = 25000 feets
Rate of change = change in altitude/change in time
change in time = 2.48 - 2.40 = 8 minutes
change in altitude = 30000 - 25000 = 5000 feets
Rate of change = 5000/8 = 625 feets per minute
Therefore, the rate of change in altitude of the plane is 625 ft/min.
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A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price.
Four parabolas are shown on different coordinate plane. Graph W has downward parabola, vertex at (5, 5250) intersects X-axis at 10 and Y-axis at 500. Graph X has downward parabola, vertex at (3.5, 3000) intersects X-axis at 10 and Y-axis at 1500.
This situation can be modeled by the equation y =
x2 +
x +
and by graph
The model of for the given relationship is,
R(x) = (200 + 50x)*(10 - x), where R(x) is the revenue of one week
This graph has downward parabola, vertex at (3, 2450) intersects X axis at 10 and Y axis at 40.
Hence the Graph Y.
Given that a candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week.
If he reduces the price by $1 then the sells increases 50 more per week.
When he will reduce $ x then the sells will increase 50x per week.
Now the price of each set of scented candles = (10 - x)
and sells in a week = (200 + 50x)
So if the candlemaker's weekly revenue is R(x) then
R(x) = (200 + 50x)*(10 - x)
R(x) = 2000 + 500x - 200x - 50x²
R(x) = 2000 + 300x - 50x²
If R(x) = y, then
y = 2000 + 300x - 50x²
50(x² - 6x - 40) = - y
50{(x - 3)² - 49} = - y
50(x - 3)² - 2450 = - y
50(x - 3)² = - (y - 2450)
So, the vertex at (3, 2450) and the parabola is downwards.
when intersect X axis then y = 0
x² - 6x - 40 = 0
x² - 10x + 4x - 40 = 0
(x - 10)(x + 4) = 0
x = -4, 10
and where cuts Y axis then x = 0
y = 40
Hence the correct graph is Graph Y.
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PLEASE HELP!!
The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equa
The most appropriate choice for HCF will be given by-
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7
What is HCF?
HCF means highest common factor. HCF of two number a and b is the highest number that divides both a and b.
Number of white tulips = 21
Number of red tulips = 91
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = HCF (21, 91)
Now,
\(21 = 3\times 7\\91 = 7\times 13\\\)
HCF (21, 91) = 7
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7
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Ericka's book is 675 pages long and she has read 325 pages so far. If Ericka reads 80 pages per day,
how many more days will it take her to finish the book?
Answer:
It would take around 5 Days
The table below shows that the number of miles driven by Jamal is directly proportional to the number of gallons he used.
Gallons Used
Gallons Used
Miles Driven
Miles Driven
14
14
525
525
43
43
1612.5
1612.5
47
47
1762.5
1762.5
How many gallons of gas would he need to travel
296.25
296.25 miles
Jamal would need approximately 7.9 gallons of gas to travel 296.25 miles.
We can use the concept of direct variation to solve this problem. Direct variation means that two quantities are related by a constant ratio. In this case, the number of miles driven is directly proportional to the number of gallons used.
To find the constant of proportionality, we can use the given data. From the table, we can see that when Jamal used 14 gallons, he drove 525 miles. So we can write:
14/525 = k
where k is the constant of proportionality.
Solving for k, we get:
k = 14/525
Now we can use this value of k to find how many gallons Jamal would need to travel 296.25 miles. Let x be the number of gallons he would need. Then we can write:
x/296.25 = k
Substituting the value of k, we get:
x/296.25 = 14/525
Solving for x, we get:
x = (296.25 × 14) / 525
x ≈ 7.9
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Please help me with this.
Answer: What is the quesiton(s) you would like answered today?
Step-by-step explanation:
Solve each equation. 4 y-6=2 y+8
The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
According to the given question.
We have a linear equation in one variable.
4y - 6 = 2y + 8
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by
4y - 6 = 2y + 8
⇒ 4y - 2y - 6 = 8 ( subtracting 2y from both the sides)
⇒ 2y -6 -8 = 0 (subtracting 8 from both the sides)
⇒ 2y - 14 = 0
⇒ 2y = 14
⇒ y = 14/2
⇒ y = 7
Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
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Scientists discover a new plant that might belong to the same genus as the horsetail. Which characteristic would provide the best evidence to support this hypothesis
To determine if the newly discovered plant belongs to the same genus as the horsetail, scientists would look for characteristic(s) that provide the best evidence to support this hypothesis. Here are some key characteristics that could be examined:
1. Morphological similarities: Comparing the physical characteristics and overall morphology of the newly discovered plant with known horsetails would provide important evidence. Scientists would analyze features such as the arrangement and structure of leaves, stems, roots, and reproductive structures (such as cones or spores). If the new plant shares significant similarities in morphology with horsetails, it suggests a closer relationship.
2. Genetic analysis: Conducting genetic studies, such as DNA sequencing or molecular markers, can provide strong evidence of evolutionary relationships. By comparing the genetic information of the new plant with that of horsetails, scientists can identify shared genetic traits that indicate a common ancestry. Similarities in DNA sequences or genetic markers would support the hypothesis of belonging to the same genus.
3. Evolutionary history: Investigating the evolutionary history and phylogenetic relationships of horsetails and the new plant can provide valuable insights. By examining the fossil record and constructing phylogenetic trees, scientists can determine the evolutionary relationships between different plant species. If the new plant shares a more recent common ancestor with horsetails compared to other plant groups, it supports the hypothesis of belonging to the same genus.
4. Reproductive compatibility: Assessing the reproductive compatibility between the new plant and horsetails can provide evidence of their relationship. If they can successfully hybridize or have compatible reproductive structures, it suggests a close evolutionary relationship and supports the hypothesis of belonging to the same genus.
5. Chemical composition: Analyzing the chemical composition of the new plant and comparing it with horsetails can provide additional evidence. Similarities in chemical compounds, such as secondary metabolites or bioactive compounds, can indicate a closer relationship and support the hypothesis.
It is important to consider multiple lines of evidence and conduct thorough investigations to support the hypothesis that the new plant belongs to the same genus as horsetails. A combination of morphological, genetic, evolutionary, reproductive, and chemical evidence would provide a more robust and conclusive assessment of their relationship.
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draw the straight line y=2x-3
Answer:
Look at the explanation.
Step-by-step explanation:
Convert to standard form.
7.32 x 10-9
Answer:
73.2x - 9
Step-by-step explanation:
Answer:
7.32 x 10-9 =64.2
Step-by-step explanation:
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Complete the identities.
sec θ =1/?
The secant function is defined as the reciprocal of the cosine function: sec θ = 1/cos θ.
Now, to find the missing value, we need to determine the reciprocal of the cosine of θ.
For example, let's say θ = 30 degrees. The cosine of 30 degrees is √3/2. To find the reciprocal, we simply flip the fraction: 1/(√3/2). To simplify this expression, we multiply the numerator and denominator by the conjugate of the denominator, which is √3/2:
1/(√3/2) * (√3/2)/(√3/2) = (√3/2)/(√3/2 * √3/2) = (√3/2)/(3/2) = √3/3.
Therefore, when θ = 30 degrees, sec θ = √3/3.
Similarly, you can apply this process to other values of θ to complete the identity.
In summary, to complete the identity sec θ = 1/?, you need to find the reciprocal of the cosine of θ. By flipping the fraction and simplifying, you can determine the value of sec θ for a given angle.
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what is the value of x 5x+35
Answer:
Step-by-step explanation:
I cannot find the value of x because 5x+35 is an algebraic expression, not an equation.
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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you lean a 13 foot ladder on your house so that it reaches the roof. if the bottom of the ladder is 5 feet away form the house, how tall is the house?
The height of the building is 12 feet.
What is the height of the building?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
Given that:
Length of the ladder (hypotenuse) = 13 feet
Distance of the ladder's bottom from the house (base) = 5 feet
Let's denote the height of the house (vertical side) as 'b'.
Using the Pythagorean theorem, we have:
13² = 5² + b²
b² = 13² - 5²
b² = 169 - 25
b² = 144
Taking the square root of both sides:
b = √144
b = 12
Therefore, the value of b is 12 feets.
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GUYS PLEASE HELP THIS IS DUE AT 8 AM ITS CURRENTLAYY 3 AM!!
ITS CALCULATING UNIT RATE
Answer:
7
Step-by-step explanation:
guys pls help me!!!!!!!
Your answer would be 154*. Reason being, if there are two parallel lines and a line running through them, you will only have 2 types of angles. The labeled 154* tells us that the angle to its right would be 26 degrees. Making line m = to 180 degrees at that angle. Then if you did the same thing with line t, you would get angle x to be equal to 154 degrees.
It is complicated like that, or as simple as just taking the 154 and saying that x has the same angle. Due to the fact that both angles are adjacent, they are the same.
15 + 10x = 40 + 4x using the elimination method
Step-by-step explanation:
Subtract 15 from both sides:
\(10x = 25 + 4x\)
Subtract 4x from both sides:
\(6x = 25\)
Divide each side by 6:
\(x = 4 \frac{1}{6} \)
Use the example as a model. Simplify the expressions.
t^37 = ✔ i
t^82 = ✔ –1
Answer:
After , the sequence repeats itself
Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.
so
Step-by-step explanation:
The expressions are simplified as;
i. t = ∛i
ii. t = 1
How to simply the expressionsFrom the information given, we have that;
Simplifying \(t^3^7\) = √i
When \(t^3^7\)equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:
\(t^3^7 = i\)
\(t = \sqrt[3]{i^3^7}\)
\(t = i^(^3^7^/^3^)\)
Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:
\(t = i^(^1^2 ^+ ^1^/^3^)\)
\(t = i^1^2 ^* i^(^1^/^3^)\)
Now, since\(i^1^2\) = 1 and \(i^(^1^/^3^)\) represents the cube root of i, we have:
t = 1 * ∛i
t = ∛i
Simplifying \(t^8^2\) = √ –1:
Take the 82nd root of -1
\(t^8^2 = -1\)
t = \(\sqrt{(-1)^8^2}\)
t = √1
t = 1
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The median of a quanitive data set is always one of the infiviual data values. True or false
The given statement "The median of a quantitative data set is always one of the individual data values" is false.
What is a median?When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.
The given statement is not true, this is because the median is the mid-value of any data set.
If the number of data observations is odd then the median of a quantitative data set is always one of the individual data values.But if the number of data observations is even then the median is the average of the two numbers present in between the data observations.Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.
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Your generation will likely be most affected by these changes. Active or passive? HELP NEEDED ASAP WILL GIVE BRAINLIEST
Answer:
Passive
Step-by-step explanation:
Active voice means that a sentence has a subject that acts upon its verb. Passive voice means that a subject is a recipient of a verb's action.