let's firstly convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{6\frac{2}{5}}\implies \cfrac{6\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{32}{5}}~\hfill \stackrel{mixed}{2\frac{2}{3}} \implies \cfrac{2\cdot 3+2}{3} \implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~ \stackrel{ revolutions }{\frac{ 32}{5 }} ~~}{\underset{ seconds }{\frac{8}{3}}}\implies \cfrac{32}{5}\cdot \cfrac{3}{8}\implies \cfrac{32}{8}\cdot \cfrac{3}{5}\implies 4\cdot \cfrac{3}{5}\implies \cfrac{12}{5}\implies 2.4~\frac{revolutions}{seconds}\)
PNC Bank gives 0.5% interest on their savings accounts. An account has a balance of $1,500. What will the total balance be after 8 years? (Hint: what is the interest formula?)
Kk someone explain this i feel so dumb thanks
Answer:
Yes
Step-by-step explanation:
The reason is all u do is 12 +1=13 aka 1pm then 30 +50=80 making the time 2:20
Who knows how to do this I TRULY NEED HELP
Answer:
sorry i cant help , not smart enough ,but i wish i was tho
Step-by-step explanation:
An item on sale cost 65% of the original price. The original price was $19. Find the sale of the price.
Answer:
12.35
Step-by-step explanation:
Just multiply
\(19\)
and
\(0.65\)
Because
Orginal Price x Sale Cost= Sale of the Price.
\(19 \times 0.65 = 12.35\)
Big ideas 7.5 question
Answer:
66.5
Step-by-step explanation:
average the 2 together (57+76)/2
27+(-3+2)-14-(-7) help like its not 19
Answer:
Hi, I don't mean to scam you out of points. But every method I use the answer is indeed 19. So im not sure what you mean by it isn't 19. is that the whole question?
Which of the following expressions is equivalent to 2x + y − 4y + 8?
Question 10 options:
A. 2x + 3y + 8
B. 3x − 4y + 8
C. 2x − 4y + 8
D. 2x − 3y + 8
Answer:
2x - 3y + 8
Step-by-step explanation:
If you combine like terms
(In this case "y" and "-4y")
You get "-3y"
The rest of the equation stays the same, as there are no more like terms.
Therefore the answer is the D.
Please help thank you
Answer:
definatly fan, i do not know about the water heater if it blows air then i think its true last 2 i would select
Step-by-step explanation:
Answer:
it's a fan cause a turbine is currently a fan
A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?
A- y = –4x + 5
B- y = 4x – 5
C- 2y = 8x – 10
D- –2y = –8x – 10
Answer:
D: 2y = 8x - 10
Step-by-step explanation:
A: y = 4x + 5. This has a slope of -4 Yes it could work.
B: y = 4x - 5. No It does not work
C: 2y = 8x - 10. The slope is 8/2 = 4. So No it could not work.
D: -2y = 8x - 10. The slope is 8/-2 = -4. Yes This Does work! :)
42. The area of a rectangle is 12x³- 18x² + 6x. The width is equal to the GCF What could the dimensions of the rectangle be? A. 6x(2x² – 3x) B. 3(4x³ - 6x² + 2x) C. x(12x²- 18x + 6) D. 6x(2x² - 3x + 1)
GCF - Greatest Common Factor
It is simply the largest of the common factors.
We have:
12x³- 18x² + 6x
We find GCF of 12, 18 and 6:
GCF(12, 18, 6) = 6
12 = 2 · 6
18 = 3 · 6
6 = 1 · 6
and GCF of x³, x² and x:
GCF(x³, x², x) = x
x³ = x² · x
x² = x · x
x = 1 · x
Therefore:
12x³- 18x² + 6x = 6x(2x² - 6x + 1)pca and topic modeling a. both can operate on the term-document frequency matrix b. have the ability to extract latent dimensions from data c. help the data scientist explore and understand the data d. none of these are correct e. all of these are correct
The correct answer is e) all of these are correct. Both PCA (principal component analysis) and topic modeling operate on the term-document frequency matrix and are able to extract latent dimensions from the data.
They both aid the data scientist in exploring and understanding the data, as they can help to identify patterns and underlying themes in the data. PCA is a linear dimensionality reduction technique that can be used to identify the most important variables in a dataset, while topic modeling is a probabilistic approach to uncovering latent topics within a corpus of text. Both methods have been widely used in natural language processing and machine learning applications, and can be powerful tools for gaining insights into large, complex datasets.
PCA (Principal Component Analysis) and topic modeling are techniques that can both operate on the term-document frequency matrix, extract latent dimensions from data, and help data scientists explore and understand the data.
Therefore, the correct answer is e. all of these are correct. PCA is a dimensionality reduction technique that identifies the principal components in the data, while topic modeling is a text mining approach that uncovers hidden topics in a collection of documents. Both methods facilitate data analysis and interpretation by reducing complexity and revealing underlying patterns.
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According to this partial W-2 form, how much money was paid in FICA taxes?
A)$497.13
B)$2622.80
C)$5639.88
D)$7268.42
Answer:
2622.80
Step-by-step explanation:
I just took the test and made a 100%
How many degrees are in a full circle?
Answer: 360
Step-by-step explanation:
done
the sum of two numbers is 132 and their difference is 66 find the number
Answer:
99 and 33
Step-by-step explanation:
let x and y be the 2 numbers, with x being the larger of the 2, then
x + y = 132 → (1)
x - y = 66 → (2)
add (1) and (2) term by term to eliminate y
(x + x) + (y - y) = 132 + 66
2x + 0 = 198
2x = 198 ( divide both sides by 2 )
x = 99
substitute x = 99 into (1) and solve for y
99 + y = 132 ( subtract 99 from both sides )
y = 33
the 2 numbers are 99 and 33
Use the function below (whose parameters qualify it as a STC function) to answer the questions.
"STC "=" 6 "+"9 Q - 3" "Q" ^2 +" (1/3)" "Q" ^3
a) Total fixed cost is $_________
b) Obtain the AFC function from (a) and write it here __________________
c) Obtain the AVC function contained in the STC function and write the AVC function here _________________________
d) Write here the MC function __________________________
e) Find the value which AFC approaches as Q gets very large. Also write a sentence or two explaining what this implies for fixed costs per unit (AFC) as production quantities get ever larger.
f) Find the value of Q at which AVC is a minimum.
g) Is productive efficiency at the value in (f) greatest or least?
h) Demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum. Hint: The level of Q you found in (f) is where AVC is a minimum. If you plug this level of Q into AVC (see c) and also into MC (see d) the two outcomes should be the same if SMC crosses AVC at this level of Q.
i) Why does the derivative of Short Run Total Cost (STC) equal the derivative of Total Variable Cost (TVC)? Stated another way, why does dSTC/dQ = dTVC/dQ? Explain in a couple of sentences.
j. Find the value of Q where increasing returns ceases and diminishing returns begins. Hint: Diminishing returns begins at the level of Q where MC is a minimum
Total fixed cost is $6. The value of AFC is $6 / Q. Productive efficiency is greatest at Q = 4.5. Diminishing returns begin when Q = 3. The total fixed cost (TFC) does not change because it is fixed.
a) Total fixed cost is $6
b) We can obtain the average fixed cost function (AFC) from the total fixed cost (TFC) by dividing it by output (Q) as follows: AFC = TFC / Q. So, the value of AFC is $6 / Q.
c) The AVC function is calculated by dividing total variable cost (TVC) by output (Q).
STC = TFC + TVC6 + 9Q - 3Q2 + (1/3)Q3TVC = 9Q - 3Q2 + (1/3)Q3AVC = TVC / QAVC = (9Q - 3Q2 + (1/3)Q3) / QAVC = 9 - 3Q + (1/3)Q2
d) The MC function is derived by taking the first derivative of the STC function with respect to output (Q). The derivative of the STC function is: MC = dSTC / dQMC = 9 - 6Q + Q2
e) As Q approaches infinity, the denominator of AFC becomes larger and larger. So, AFC approaches zero as Q gets very large. This implies that fixed costs per unit decrease as production quantities get larger.
f) We can find the value of Q at which AVC is a minimum by taking the first derivative of the AVC function and setting it equal to zero. The first derivative of AVC is: AVC = 9 - 3Q + (1/3)Q2
dAVC / dQ = -3 + (2/3)Q= 0
Q = 4.5
g) Productive efficiency is greatest when AVC is at its minimum. Therefore, productive efficiency is greatest at Q = 4.5.
h) We can demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum by plugging Q = 4.5 into both the AVC and MC functions. AVC = 9 - 3(4.5) + (1/3)(4.5)2AVC = 7.125MC = 9 - 6(4.5) + 4.52MC = 7.125
Since SMC = MC, we can conclude that SMC equals AVC at the value of Q where AVC is a minimum.
i) In the short run, the total fixed cost (TFC) does not change because it is fixed. Therefore, the derivative of the STC function with respect to output (Q) is equal to the derivative of the TVC function with respect to output (Q). This means that dSTC / dQ = dTVC / dQ.
j) Increasing returns to scale cease when the marginal cost (MC) is equal to average total cost (ATC). Diminishing returns to scale begins when MC exceeds ATC. ATC is calculated by dividing the total cost (TC) by output (Q). TC is calculated by adding total fixed cost (TFC) and total variable cost (TVC).
ATC = TC / QATC = (6 + 9Q - 3Q2 + (1/3)Q3) / Q
Now, we can find the level of Q where increasing returns to scale cease by calculating the first derivative of ATC and setting it equal to zero.
ATC = (6 + 9Q - 3Q2 + (1/3)Q3) / QdATC / dQ = (6 - 6Q + Q2) / Q2= 0
Q = 3
Now, we can calculate the marginal cost function and find the level of Q where diminishing returns begins. We know that diminishing returns begin where the marginal cost is at its minimum.
MC = 9 - 6Q + Q2MC = 9 - 6(3) + 32MC = 3
So, diminishing returns begin when Q = 3.
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Aunt sally is making cookies for a bake sale. She can bake 120 cookies every hour. Use this information to fill out the mapping diagram.
WILL MARK BRANIEST FOR EXELENT ANSWER AND IF ITS CORECT
Answer:
Step-by-step explanation: okay each hour she makes 120 cookies right then 2 hours would be 240 and three hours would be 360 and 4 would be 480 and 5 would be 600 hundred
Uhm, I really don’t know what to say in the description but I’m just making up work from 2020
Answer:
The answer is -4
Step-by-step explanation:
Because yo subtract both numbers and you take the sign of the bigger number which is negative that's why is -4
(brainiest and 50 points)A data set is made up of these values.
1, 4, 5, 6, 6, 9, 11
Find the interquartile range.
A. 4 – 1 = 3
B. 11 – 9 = 2
C. 11 – 1 = 10
D. 9 – 4 = 5
Answer:
D. 9 – 4 = 5Step-by-step explanation:
Given data:
1, 4, 5, 6, 6, 9, 11Q1
The median of the lower half is 4Q3
The median of the upper half is 9IQR is the difference of the above two numbers:
IQR = Q3 - Q1 = 9 - 4 = 5Correct choice s D
Answer:
D. 9 - 4 = 5
Step-by-step explanation:
Given data set: 1, 4, 5, 6, 6, 9, 11
To find the Interquartile Range (IQR):
Step 1
Place the data values in order from smallest to largest:
1, 4, 5, 6, 6, 9, 11
Step 2
To find the position of the lower quartile, count how many data values there are, add 1, and divide by 4:
\(\implies \sf \textsf{Position of lower quartile}= \dfrac{7\:data\:values+1}{4}=2nd\:position\)
Therefore, the lower quartile is 4.
Step 3
To find the position of the upper quartile, count how many data values there are, add 1, multiply by 3, and divide by 4:
\(\implies \sf \textsf{Position of upper quartile}= \dfrac{(7\:data\:values+1) \times 3}{4}=6th\:position\)
Therefore, the upper quartile is 9.
Step 4
\(\begin{aligned}\textsf{Interquartile range (IQR)} & = \textsf{upper quartile} - \textsf{lower quartile}\\& = \sf 9-4\\& = \sf 5 \end{aligned}\)
Nutritionists examined the sodium content of different brands of potato chips. Each brand was classified as either healthy or regular based on how the chips were marketed to the public. The sodium contents, in milligrams (mg) per serving, of the chips are summarized in the boxplots below. Based on the boxplots, which statement gives a correct comparison between the two classifications of the sodium content of the chips? A. The number of brands classified as healthy is greater than the number of brands classified as regular. B. The interquartile range (IQR) of the brands classified as healthy is greater than the IQR of the brands classified as regular. C. The range of the brands classified as healthy is less than the range of the brands classified as regular. D. The median of the brands classified as healthy is more than twice the median of the brands classified as regular. E. The brand with the least sodium content and the brand with the greatest sodium content are both classified as healthy.
Based on the given boxplots, the correct comparison between the two classifications of the sodium content of the chips is B. The interquartile range (IQR) of the brands classified as healthy is greater than the IQR of the brands classified as regular.
The IQR represents the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, the IQR of the healthy chips is approximately 70 mg while the IQR of the regular chips is approximately 40 mg. Therefore, the sodium content of the healthy chips has a greater spread than the sodium content of the regular chips.
The other options either compare the number of brands or specific values (such as the range or median) without taking into account the spread of the data. Therefore, option B is the best choice for comparing the sodium content of the chips based on the given boxplots.
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Based on the given boxplots, the correct comparison between the two classifications of the sodium content of the chips is B. The interquartile range (IQR) of the brands classified as healthy is greater than the IQR of the brands classified as regular.
The IQR represents the spread of the middle 50% of the data and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, the IQR of the healthy chips is approximately 70 mg while the IQR of the regular chips is approximately 40 mg. Therefore, the sodium content of the healthy chips has a greater spread than the sodium content of the regular chips.
The other options either compare the number of brands or specific values (such as the range or median) without taking into account the spread of the data. Therefore, option B is the best choice for comparing the sodium content of the chips based on the given boxplots.
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How do you say $183,240 in word form ?
Answer:
one hundred and eighty-three thousand two hundred forty
Step-by-step explanation:
On Gabriela’s first birthday, her parents gave her a $50 savings account. On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by finding the values for a1 and d.
We will see that the first term is $50, and the common difference is $25, then the recursive formula is:
aₙ = aₙ₋₁ + $25.
How to get the recursive formula?Here we will have something like an arithmetic sequence, such that the recursive sequence is something like:
aₙ = aₙ₋₁ + d
Where d is the common difference.
We know that the first value (the first amount that she has in her savings account) is $50, so we can write the first term as:
a₁ = $50
Now, each new year (the subindex "n" represents the number of the year) $25 are added to that savings account, then we will have:
a₂ = $50 + $25 = $75
a₃ = $50 + $25 + $25 = $100
And so on..
So the common difference is d = $25, then the recursive relation is:
aₙ = aₙ₋₁ + $25.
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Add: (-6X - 15) + (3x - 12)
Answer:
-3X-27 that's the answer
Step-by-step explanation:
that's the answer to your question have a good day!
Edgar cannot sleep because he is terribly worried about his research paper. So edgar decides to get out of bed and continue working on the paper. Although he stays up to nearly 3 a. M. , he is relieved that it is done and easily falls off to sleep. In the future, edgar will be more likely to finish his work before going to bed so that he can avoid the worry and sleeplessness. Such behavior is an example of.
To sum up, Edgar's behavior is an example of positive reinforcement as he has learned to associate finishing his work before going to bed with positive consequences.
Edgar's behavior is an example of a learning process known as operant conditioning. Operant conditioning is the concept that we learn to associate our behavior with its consequences, either positive or negative. We are motivated by rewards, such as praise, and punishments, such as criticism, that we experience as a result of our behavior.
In Edgar's case, his relief and ability to fall asleep after completing his research paper can be considered a reward. Thus, he has been conditioned to associate finishing his work before going to bed with positive consequences. This learning process is an example of positive reinforcement.
Positive reinforcement, in which a positive stimulus is used to encourage a desired behavior, is the most effective way to promote good behavior and discourage undesirable behavior. Positive reinforcement can take many forms, including praise, recognition, and tangible rewards.
By contrast, negative reinforcement, which involves removing an unpleasant stimulus, can also be used to encourage a desired behavior, but it is not as effective as positive reinforcement in the long term.
To sum up, Edgar's behavior is an example of positive reinforcement as he has learned to associate finishing his work before going to bed with positive consequences.
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Find slope (-3,5)(4,-1)
Answer: The slope of the line passing through the points (-3, 5) and (4, -1) is -6/7.
Step-by-step explanation: To find the slope of a line given two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-3, 5) and (4, -1), we can substitute the values into the formula:
slope = (-1 - 5) / (4 - (-3))
= (-6) / (4 + 3)
= (-6) / 7
Therefore, the slope of the line passing through the points (-3, 5) and (4, -1) is -6/7.
Answer:
\(Slope=-\frac{6}{7}\)
Step-by-step explanation:
\(m= \frac{y2-y1}{x2-x1} \\\\m=\frac{-1-5}{4-(-3)} \\\\m=\frac{-6}{7} \\\\Slope= -\frac{6}{7}\)
Suppose you have an algorithm A that takes as input an array M[0,1,...,n - 1] of n integers. The algorithm is defined by two functionsf: Z → Zand g: ZXZ â€" Z. If n = 1, then the algorithm computes a function f (g), where is the single entry in the array, and returns this integer value. For larger values of n, the algorithm Computes two new arrays that start at positions i = 0 and [n/3 - 1] and that include [2n/3] elements. Thus, if n = 15, the new arrays would begin at positions 0 and 4 and contain 10 elements each The algorithm then runs recursively on each subarray, and stores the value. This returns an ordered set of two integers, x, y,. The algorithm then computes g(x, y), and returns this value. We would like to write down a function (n) for the running time of this algorithm on inputs of arrays of n elements. Assume that computing f (9) and g(x, y) each cost only one operation. Counting all the operations for each step, which of the following recurrence relations would seem to fit? To make the problem easy to solve, you should assume that n = 3k for some non-negative integer a. t(1) = and t(n) = 2t(n/2) + 1, for some positive constant C O b. t(1) = C, and t(n) = 21(2n/3), for some positive constant c. 1(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2 d. 1(1) = C, and t(n) = 21(2n/3) + C2n, for some positive constants C, C2 e. f(1) = C, and t(n) = 2t(n/3) + C2, for some positive constants C, C2
Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.
Let's denote the running time of the algorithm for an input of size n as t(n).
For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:
t (1) = C1
For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.
Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.
Considering these factors, we can write the recurrence relation for the running time as:
t(n) = 2t(2n/3) + C2
Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:
c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2
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Define the following in your own words. Please do not copy and paste of the internet. Thank you in advance
Perpendicular bisector
Cylinder
Plane
Regular Polygon
Answer:
Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.
Cylinder - A 3D solid with circles as its bases.
Plane - A flat, 2D surface that extends infinitely.
Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).
4) through: (5,1), slope =
5
Answer:
y = 5x - 24
Step-by-step explanation:
please let me know if you want me to add an explanation :)
Answer:
Step-by-step explanation:
y-1 = 5(x-5)
What the answer to this problem now
Answer:
25.4 degrees
Step-by-step explanation:
Use the inverse sine function to calculate
NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
Amanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
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