Answer:
2 ≤ x < 9 or x = [2, 9)Step-by-step explanation:
Negative four is at least six less than a number
-4 ≤ x - 6 ⇒ x ≥ 2Sum of a negative two & nine times a number is less than seventy nine
-2 + 9x < 79 ⇒ 9x < 81 ⇒ x < 9Combined inequality:
2 ≤ x < 9 or x = [2, 9)In special cases, a linear associator can succeed perfectly even when the input vectors are not linearly independent. For every input linear dependence such as
In special cases, a linear associator can succeed perfectly even when the input vectors are not linearly independent.
In general, linear associators, also known as linear classifiers or perceptrons, are used to classify input vectors into different categories based on a linear decision boundary. The success of a linear associator depends on the linear independence of the input vectors, which means that the vectors should not be redundant or collinear.
However, there are special cases where linear associators can still succeed perfectly even when the input vectors are not linearly independent. This can happen when the linearly dependent vectors contain redundant or overlapping information that can still be used to accurately classify the input.
For example, consider a situation where two input vectors are linearly dependent, meaning one vector is a scalar multiple of the other. Despite this linear dependence, it is possible that the linear associator can correctly classify the input based on the shared information between the vectors.
The reason behind this is that the linear associator can assign appropriate weights to the redundant features, which allows it to capture the essential patterns for classification. In such cases, the linearly dependent vectors can still contribute valuable information to the overall decision-making process.
It's important to note that while linear associators can succeed in these special cases, the presence of linear dependence can still lead to issues such as overfitting and decreased generalization performance. Therefore, ensuring linear independence and avoiding redundancy in the input vectors is generally preferred for optimal performance.
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I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
pleasee reply me ...
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Answer:
plz mark me as a brainelist
hope it helps you
Sahara started the day with $80
.
She spent $60
.
What fraction of her money has Sahara spent?
Give your answer as a fully simplified fraction.
Answer:
She spent 3/4 of her money
Step-by-step explanation:
60/80 is .75, which translates to 3/4.
Answer:
3/4 or 75%
Step-by-step explanation:
60$/80$ = 3/4
please help asap, will mark brainliest
Answer:
The answer is 122.07 if you round it, but the full decimal is 122.065556157
about how long has the pi symbol been used in the mathematical world?
The Greek mathematicians started using the symbol pi (π) for as long as 4000 years in mathematical world.
A Short History of Pi
Even if we counted the number of seconds in those 4000 years and round the value of pi (π) to so many places, we would still only be estimating the true value of pi. Pi has been known for over 4000 years. Below is a quick summary of the discovery of.
By multiplying the radius of a circle by three, the ancient Babylonians determined its area, yielding the number pi = three. About 1900–1680 BC Babylonian tablets show a value of 3.125 for, which is a more accurate estimate.
The Rhind Papyrus, which dates to around 1650 BC, sheds light on ancient Egyptian mathematics. The calculation used by the Egyptians to determine a circle's area yielded a result that was around 3.1605 for.
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paige just finished a road trip where she visited the following square pyramids: the bent pyramid and the red pyramid. the table below shows the approximate dimensions of the two pyramids. dimensions of pyramids base side length height bent pyramid 619 feet 332 feet red pyramid 722 feet 341 feet paige has to write a paper on volume for school and needs some help. what is the difference in volume of the two pyramids, rounded to the nearest cubic foot?
The difference in volume between the two pyramids is 12,371,740 cubic feet.
To find the volume of a square pyramid, you use the formula :
V = (1/3)Bh, where B is the area of the base and h is the height.
Using the dimensions given in the table, we can calculate the volumes of the two pyramids:
- Volume of Bent Pyramid = (1/3)(619 feet * 619 feet)(332 feet) = 26,384,053.33 cubic feet
- Volume of Red Pyramid = (1/3)(722 feet * 722 feet)(341 feet) = 38,755,793.33 cubic feet
To find the difference in volume between the two pyramids, we subtract the smaller volume from the larger volume:
38,755,793.33 - 26,384,053.33 = 12,371,740 cubic feet.
Rounding to the nearest cubic foot, the difference in volume between the two pyramids is 12,371,740 cubic feet.
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Which function would you use to locate the index of the first character of the first occurence of a substring within another string?
You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
What is the CHARINDEX function?The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.
⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)
Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.
Input_string: The input string is defined in this argument.
Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
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Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. What is the radius of the ball?
Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
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please help asap!!!
Answer:
A. 0.13.
B. 0.15.
Step-by-step explanation:
For the first problem, subtract 0.87 from 1. You get 0.13.
For the second problem, add up 0.3 and 0.55 to get 0.85. Subtract this from 1 to get 0.15.
Hope this helps :)
Given the equation y = mx + b, find the value of b if x = 2, m = 2, and y = 4.
Answer:
B=0
Step-by-step explanation:
If m=2 and x=2 and y=4 it would be 4=2(2)+b
Now we mutiply the 2(2) which would give us 4 and if 4=4 then B would be nothing other than 0.
ABCD is a square.
Need help ASAP.
What is the surface area of the composite solid figure.
After answering the prοvided questiοn, we can cοnclude that As a result, cylinder the cοmpοsite sοlid figure has a surface area οf apprοximately 320.63 square units.
What is cylinder?A cylinder is a twο half shape οbject made up οf twο parallel cοngruent circular bases and an arched surface that cοnnects the bases. The bases οf a cylinder are still perpendicular tοward its axis, fοrming an illusοry straight line Centre line οf bοth bases. The vοlume οf a cylinder is the sum οf its base and height. A cylinder's vοlume is measured as V = r²h, where "V" symbοlizes the vοlume, "r" reflects the radius οf the bοttοm, and "h" symbοlises the height οf the cylinder.
Tο calculate the surface area οf the cοmpοsite sοlid figure, add the surface areas οf all the individual shapes that cοmprise the figure.
A rectangular prism's surface area equals 2(lw + lh + wh).
\($\begin{array}{l}{{2(6x5+6x4+5x4)}}\\ {{2(30+24+20)}}\\ {{2(74)}}\\ {{148}}\end{array}$\)
Surface area οf a cylinder = 2πr² + 2πrh
\($\begin{array}{l}{{=2\pi(2.5)^{2}+2\pi(2.5)(6)}}\\ {{=2\pi(6.25)+2\pi(2.5)(6)}}\\ {{=12.5\pi+30\pi}}\\=42.5 \pi\\ {{=133.36}}\end{array}$\)
Finally, let's find the surface area οf the hemisphere:
Surface area οf a hemisphere = 2πr²
\($\begin{array}{c}{{=2\pi(2.5)^{2}=2\pi}}\\ {{(6.25)=12.5\pi}}\\ {{=39.27}}\end{array}$\)
Tο calculate the surface area οf the cοmpοsite sοlid figure, add the areas οf the rectangular prism, cylinder, and hemisphere:
Surface area οf cοmpοsite sοlid figure = 148 + 133.36 + 39.27 = 320.63 surface area οf rectangular prism + surface area οf cylinder + surface area οf hemisphere
As a result, the cοmpοsite sοlid figure has a surface area οf apprοximately 320.63 square units.
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Cuantas barras de pan habrá que comprar para alimentar a 65 personas durante 80 dias
Answer:
se necesitarán 145 o 15 piezas de pan para alimentar a 65 personas en 80 días.
Step-by-step explanation:
Your employee is flying from Detroit to Phoenix with a stop in Atlanta. the flight from Detroit to Atlanta is on time 70% of the time while the flight from Atlanta to Phoenix is on time 80% of the time. What will your employee tend to conclude about the chances of arriving at Phoenix on time?
a) Neither overestimate nor underestimate the chances of arriving on time
b) Overestimate the chances of arriving on time
c) Underestimate the chances of arriving on time
d) Underestimate the changes of arriving at Atlanta on time and overestimate the chances of arriving at Phoenix on time
Underestimate the chances of arriving on time. Probability is a measure of the likelihood of an event occurring. It is usually expressed as a decimal or fraction between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.
The correct option is (c)
Now, According to the question:
Let's know:
What is Probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
To determine the probability that your employee will arrive at Phoenix on time, you need to multiply the probabilities of the two flights being on time. Probability can be used to make predictions about the outcome of an event or to understand the likelihood of different outcomes occurring.
The probability that the flights will both be on time is:
70% x 80% = 56%.
This is less than the probability of either flight being on time individually, so your employee would tend to underestimate the chances of arriving on time.
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the squared paper shows the nets of cuboid q and cuboid b. do the two cuboids have the same surface area? show calculations to show how you know.
please explain as well :))
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
Find an equation for the line tangent to the graph of the given function at the indicated point. 8 3) f(x): () = at at (4,2) X 1 4) f(x)=x2-x at (4, 12)
(a) tangent line to the graph of f(x) = x^3 at the point (4,2).
(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).
(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.
(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.
In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.
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Find the derivatives of the following: (a) f(x) = e¹0x (b) y = 8ex³ (c) f(x) = 10-e-2x
The derivative of
a) f'(x) = (e^u)(10) = (e^10x)(10)
b) y = 8e^(x^3) is y' = (8e^(x^3))(3x^2).
c) f(x) = 10e^(-2x) is f'(x) = (e^(-2x))(-2).
(a) To find the derivative of f(x) = e^10x, we can use the chain rule. The derivative of e^u with respect to u is e^u multiplied by the derivative of u with respect to x. In this case, u = 10x, so the derivative is:
f'(x) = (e^u)(10) = (e^10x)(10)
Therefore, the derivative of f(x) = e^10x is f'(x) = (e^10x)(10).
(b) To find the derivative of y = 8e^(x^3), we can again use the chain rule. Let u = x^3, then the derivative of y with respect to x is:
y' = (8e^u)(3x^2) = (8e^(x^3))(3x^2)
Therefore, the derivative of y = 8e^(x^3) is y' = (8e^(x^3))(3x^2).
(c) To find the derivative of f(x) = 10e^(-2x), we use the chain rule and the derivative of e^u:
f'(x) = (e^u)(-2) = (e^(-2x))(-2)
Therefore, the derivative of f(x) = 10e^(-2x) is f'(x) = (e^(-2x))(-2).
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The numerator of a fraction is 3 less than the denominator. If the fraction is equivalent to 9/10, find the fraction
If numerator of fraction is 3 less than denominator which is equivalent to "9/10", then the fraction is 27/30.
A "Fraction" is a mathematical representation of a part of a whole, expressed as one number (the numerator) divided by another (the denominator), separated by a horizontal line.
Let us assume the denominator of the fraction be = x.
According to the problem, the numerator of the fraction is 3 less than the denominator.
So, numerator of fraction can be represented as : x - 3,
We also know that the fraction is equivalent to 9/10.
So, the equation is :
⇒ (x - 3)/x = 9/10,
Next, we cross-multiply,
⇒ 10(x - 3) = 9x,
⇒ 10x - 30 = 9x,
⇒ x = 30,
Now, we substitute it in the expression for the numerator:
We get,
⇒ x - 3 = 30 - 3 = 27,
Therefore, the fraction is 27/30, which can be simplified by dividing both the numerator and denominator by 3 to get : 9/10.
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Which of the following sets have the same cardinality? Select all that apply. OR 0 0 Z ON
Which of the following sets have the same cardinality? Select all that apply. a)R b)Q c)Z d)N
The sets that have the same cardinality are b), c), and d).
The term "cardinality" refers to the size of a set, which is the number of distinct elements in the set. A set is defined as a collection of distinct objects, with no order or arrangement.
Therefore, to find which of the following sets have the same cardinality, we need to determine which sets have the same number of distinct elements:
a) R: The set of real numbers. It is an uncountably infinite set, meaning that its cardinality is greater than that of any countable set. Therefore, it does not have the same cardinality as any of the other sets listed.
b) Q: The set of rational numbers. This is a countably infinite set, meaning that it has the same cardinality as the set of natural numbers. Therefore, it has the same cardinality as set N.
c) Z: The set of integers. This is also a countably infinite set, meaning that it has the same cardinality as the set of natural numbers. Therefore, it has the same cardinality as set N
d) N: The set of natural numbers. This is a countably infinite set, meaning that it has the same cardinality as the set of rational numbers and the set of integers.
Therefore, it has the same cardinality as sets b and c.
Therefore, the sets that have the same cardinality are b), c), and d).
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if cos2A= -1/2 then show that cosA=1/2
Step-by-step explanation:
If cos 2A = tan-B, then show that cos 2B = tan-A.
In ABC, prove that
cos A = 1/2 (See proof below)
\(cos(2A) = 2cos^{2} A-1\)
Substitute cos 2A = -1/2 into the relationship above:
\(\frac{-1}{2} = 2cos^{2} A - 1\\\frac{-1}{2} + 1 = 2cos^{2} A\\\frac{1}{2} = 2cos^{2} A\)
Divide both sides by 2:
\(\frac{1}{4} = cos^{2} A\)
Square root both sides:
\(cosA = \sqrt{\frac{1}{4} } \\cosA = \frac{1}{2}\)
Proved
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a book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it. the number of words in the book is congruent to 184, modulo 203. how many words are on each page?
The words are on each page is 73.
Given:
A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.
The number of words in the book is congruent to 184, modulo 203.
136n mod 203 =184,
solve for n
Using CRT + MMI
n =203m + 73, where m =0, 1, 2, 3....
Therefore the words are on each page is 73.
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What is/are the x-intercept(s) of this quadratic function f(x) = (x - 3)(x - 2)?
Answer:
y=x2−5x+6
Step-by-step explanation:
PLEAEEE HELPP!!
Find the measure of minor arc CG
Answer:
56
Step-by-step explanation:
56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34
What is the solution of (x+8)/(5x+-1)>0?
Answer:
the solution set is (-infinity, -8) ∪ (-8, 1/5)
Step-by-step explanation:
x + 8 changes sign at x = -8.
I'll assume you meant 5x - 1 (as 5x+- is meaningless). 5x - 1 changes sign at x = 1/5.
Subdivide the x-axis using the two x-values found above:
(negative infinity, -8), (-8, 1/5), (1/5, infinity.
Choose a representative value from each interval. I'm choosing x = -10, x = 0 and x = 1.
Now test the given inequality at each of these x-values. Is the result true or false?
x + 8
---------- > 0
5x - 1
For x = -10:
-10 + 8
--------------- > 0 => -2/(-51) => 2/51 This is TRUE
5(-10) - 1
For x = 1:
1 + 8
---------- > 0 => 9/4 This is TRUE
5 - 1
For x = 0:
8
---------- > 0 This is FALSE
- 1
Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)
How much greater is the area of a circle with a radius of 7.6 inches than the area of a square with a side length of 5 inches?
Answer:
2.6
Step-by-step explanation:
i think thats the answer cuh
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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How many real solutions does it have?
v² = -75
Answer:
None
Step-by-step explanation:
\(v^2=-75\) has the solution \(v=\pm \sqrt{-75}\), but it isn't real since you cannot take the square root of a negative number to produce that real output.
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The cost of 4 peaches is $4.96. What is the constant of proportionality that relates the cost in dollars, y, to the number of peaches, x? Write the corresponding linear equation.
An isoline that connects all points of highest mean temperature on a world map is called Group of answer choices the thermal equator. the temperature range line. the highest mean temperature isoline. an isobar.
An isoline that connects all points of highest mean temperature on a world map is called the highest mean temperature isoline.
An isoline is a line on a map that connects points of equal value for a particular variable. In this case, the isoline connects all points of the highest mean temperature, indicating regions with the highest average temperatures.
Therefore, it is referred to as the "highest mean temperature isoline." The other options mentioned are not specifically related to the concept described.
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The length of a rectangle is 4 more than the width. Find the width of the rectangle if the area is 32.
Answer:
length = 8
width = 4
Step-by-step explanation:
Area = length x breadth
Let x represent the width
length = x + 4
32 = x × (x + 4)
32 = x² + 4x
x² + 4x - 32 = 0
solving using quadratic equation =
(x² - 4x) -32 + 8x
x = 4 or -8
since width cannot be a negative number, we would use 4