Answer:
see explanation
Step-by-step explanation:
To find the missing side, subtract the sum of the 2 given sides from the perimeter.
(11)
6x + 6y - (2x + y + x + 2y)
= 6x + 6y - (3x + 3y)
= 6x + 6y - 3x - 3y ← collect like terms
= 3x + 3y ← missing side
(12)
11x + 2y - (2x + 3y + 6x - 5y)
= 11x + 2y - (8x - 2y)
= 11x + 2y - 8x + 2y ← collect like terms
= 3x + 4y ← missing side
Based on the quadratic graph provided below, determine the characteristics of the graph requested:
Answer:
This hurt my head
Step-by-step explanation:
What is the approximate value of 2–√, to the nearest whole number?
\(2 - \sqrt{1} \\ = 2 - 1 \\ = 1\)
Which relation is displayed in the table?
A: {(-2, -3), (1, -1), (2, -2), (3, 3)}
B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}
C: {(-2, -3), (-1, 1), (-2, 2), (3, 3)}
D: {(-2, -3), (-1, 1), (-2, -2), (3, 3)}
The relation displayed in the table is
B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}How to find the relation in the tableThe relation in the table is compared by identifying how a coordinate point are expressed as ordered pair and how they are expressed as a table
For instance, say (b, c) is represented in a table as
x y
a b
Using this instance and writing out the values in the table we have
(3, 3), (-1, 1), (2, -2), and (-3, 2)
This is similar to option B making option B the appropriate option
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Select the correct answer. What is the domain of the function represented by this graph?
Answer:
Doman is the x intercpet range
Step-by-step explanation:
all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.
The Answer Is:
All Real Numbers
What is the area of the kite?
Answer:
9m squared
Step-by-step explanation:
Area of a kite is xy/2
= 8 X 10 divided by 2
Point A is rotated 90 degrees counterclockwise around point C to form image A’.
Select three true statements based on the given information.
Answer:
One of the options is most likely "Point C's coordinates do not change". I can't help much other than that.
Step-by-step explanation:
I apologize but I'd need to see the graph and the options to provide a completely accurate answer.
differentiate implicitly to find the first partial derivatives of z. x ln(y) y2z z2 = 5
To differentiate the given equation implicitly, we find the first partial derivatives of z with respect to x and y. The derivative of z with respect to x is obtained by applying the product rule and the chain rule, while the derivative of z with respect to y is determined using the quotient rule and the chain rule.
To find the first partial derivatives of z, we differentiate the given equation implicitly. Starting with the equation:
x ln(y) y^2z + z^2 = 5
We differentiate both sides of the equation with respect to x. Applying the product rule and the chain rule, we obtain:
ln(y) y^2z + x * (1/y) * y^2z * dy/dx + 2z * dz/dx = 0
Simplifying the expression, we have:
ln(y) y^2z + x * yz * dy/dx + 2z * dz/dx = 0
Next, we differentiate both sides of the equation with respect to y. Using the quotient rule and the chain rule, we get:
x * (1/y) * y^2z + ln(y) * 2yz * dy/dx + x * y * dz/dy + 2z * dz/dy = 0
Simplifying the expression further, we have:
x * yz/y + 2ln(y)yz * dy/dx + x * y * dz/dy + 2z * dz/dy = 0
Thus, the first partial derivatives of z are given by:
dz/dx = -(ln(y) y^2z)/(x * yz) - (2z * dz/dx)/(x * yz)
dz/dy = -(x * yz/y)/(2ln(y)yz) - (x * y * dz/dy)/(2ln(y)yz) - (2z * dz/dy)/(2ln(y)yz)
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The volume of sphere is given by V = 4/3 πR3 where R is the radius of sphere. Find the rate of change of volume with respect to R.
The rate of change of volume with respect to R is 4πR².
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found out as Δy/ Δx = (y2 - y1 )/ (x2 - x1 ). For a linear function, the rate of change m is represented in the slope-intercept form for a line: y=mx+b whereas the rate of change of functions is otherwise defined as, (f(b)-f(a))/ b-a.
The volume of the sphere is:
V = (4π/3)(R³)
Differentiating volume with respect to radius gives:
dV/dR = (4π/3)× (3R²) = 4πR²
Thus, the rate of change of volume with respect to R is 4πR².
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Examine parallelogram ABCD below.
Determine which of the following values are correct. Select three that apply.
A
m2D = 105
B
m2A = 75°
C
m2 = 93°
D
m2B = 87°
E
x = 16
F
x = 19
Given that,
∠C = (6x-21)° and ∠A = (4x+11)°
To find,
Choose the correct option.
Solution,
For a parallelogram, the opposite angles are equal. ATQ,
(6x-21)° = (4x+11)°
Taking like terms together,
6x-4x = 21 + 11
2x = 32
x = 16
∠C = (6x-21)° = 6(16) -21 = 75°
So, ∠A = 75°
So, ∠A = ∠C = 75°. Hence, the correct option is (B).
Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
The approximate solutions for f(x) = 0 are -1.8, 0.6, and 1.2. Using Newton's method, we can approximate the roots to be -1.8, 0.6, and 1.2. These are the three options to select as the approximate solutions for x when f(x) = 0.
To graph the function f(x) = x3 – 4x – 1, we can plot several points and connect them with a curve. Alternatively, we can use calculus to find the critical points, where the derivative is zero, and analyze the behavior of the function near those points.
Using calculus, we can find that the derivative of f(x) is f'(x) = 3x2 - 4. Setting f'(x) = 0 and solving for x, we get x = ±sqrt(4/3). We can then use the second derivative test to see that f''(sqrt(4/3)) > 0, so it is a local minimum, and f''(-sqrt(4/3)) < 0, so it is a local maximum.
Therefore, we know that f(x) has one local maximum and one local minimum. By looking at the graph or using the intermediate value theorem, we can see that f(x) changes sign at x = -2, x = 0, and x = 1.5. This means that there is at least one root in each of the intervals (-∞, -2), (-2, 0), (0, 1.5), and (1.5, ∞).
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Please help me ASAP please do not put a link
1478 cubic feet
First, calculate volume of the shed, then minus that by the volume of the cubes...
Volume(shed) = 12*12*12 = 1728
Volume(cube) = 2.5*2.5*2.5 = 15.625
1728 - 15.625(16) = 1478 cubic feet
if 4x=3y, which shows the ratio of x to y in simplest form?
Answer:
B
Step-by-step explanation:
4x=3y
x/y=3/4
Just like the photo I attached
If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.
The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:
4x/y = 3y/y
4x/y = 3
To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:
x/y = 3 / 4
Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.
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Find f/(x). (a) f(x) = xsinx (b) f(x) = sech-1x²
The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).
a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.
Using the product rule, we have:
f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'
The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:
f'(x) = x*cos(x) + sin(x)
So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).
(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.
Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).
Using the chain rule, we have:
f'(x) = f'(u) * u'
The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:
(sech^(-1)(u))' = 1/sqrt(1 - u^2)
Since u = x^2, we have:
f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'
Simplifying:
f'(x) = 1/sqrt(1 - x^4) * 2x
So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).
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Factorise 3x squared
Nevertheless, factοrizing intο twο binοmials is nοt pοssible since expressiοns is a quadratic equatiοn with nο factοrs οf the fοrm where a, b, c, and d are cοnstants.
What is expressiοn?In mathematics, an expressiοn is a set οf numbers, variables, and mathematical οperatiοns (such as additiοn, subtractiοn, multiplicatiοn, divisiοn, expοnentiatiοn, and sο οn) that expresses a quantity οr value. Expressiοns might be simple, like "3 + 4", οr cοmplex, like "(3x² - 2) / (x + 1)". They may alsο include functiοns such as "sin(x)" οr "lοg(y)". Expressiοns can be evaluated by substituting values fοr the variables and carrying οut the mathematical οperatiοns in the given οrder. Fοr instance, if x = 2, the fοrmula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressiοns are widely used tο explain real-wοrld situatiοns, build equatiοns, and simplify cοmplex mathematical issues.
cannοt be factοrized any further because it is already in its mοst basic fοrm.
Nevertheless, factοrizing intο twο binοmials is nοt pοssible since is a quadratic equatiοn with nο factοrs οf the fοrm where a, b, c, and d are cοnstants.
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Complete Question;
Factorise 3x squared intο twο binοmials.
for the function, f(x), determine whether it is one-to-one. if the function is one-to-one, find a formula for the inverse.
To determine whether the given function is one-to-one or not, we need to examine if the function passes the horizontal line test or not.
That is, we need to ensure that each horizontal line intersects the graph of the function at most once. Here's how to determine if the function is one-to-one or not :To find the formula for the inverse, let us assume the inverse function to be f⁻¹(x). Then, switch the x and y terms of the given function. This means, f(x) = y will become x = f⁻¹(y) . Now solve the obtained equation for y to get the formula for f⁻¹(x). If we get two or more different values of y, then the function does not have an inverse since it fails the vertical line test. In other words, the function is one-to-one if it passes the horizontal line test and only has one output value for each input value. If it is not one-to-one, then it does not have an inverse function.
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If b = 5, then the exact value of a is?
Answer:
5sqrt3
Step-by-step explanation:
You can use trigonometry to figure out the answer
TOA is tan(any angle) = opposite/adjacent
Tan(30) = 5/x
tan(30) = sqrt3/3
x = tan inverse (30) multiplied by 5
x = 5sqrt3
a flag pole that is 15 feet tall casts a shadow that is 21.1 feet long. at the same time of day, the shadow of a nearby tree is 12.7 feet long. how tall is the tree?
In linear equation, 24.9 tall is the tree .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
We can set up a proportion comparing the height of each object to the length of the shadow.
h/15 = 21.1/12.7
h = 1.66 * 15
h = 24.9
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This is all the information provided in the question. I
cannot help if it is unclear. This is everything.
The following table lists the $ prizes of four different
lotteries, each based on a six-sided die roll:
(a) Rank each lottery pair by statewise dominance. Use the symbols >SW and ∼SW to indicate dominance and indifference, respectively. Note that there are six such rankings.
(b) Rank each lottery pair by first-order stochastic dominance. Use the symbols >F OSD and ∼F OSD to indicate dominance and indifference, respectively. Show your work.
(c) Rank each lottery pair by second-order stochastic dominance. Use the symbols >SOSD and ∼SOSD to indicate dominance and indifference, respectively. Show your work.
(a) To rank each lottery pair by statewise dominance, we compare the prizes of each lottery for each possible outcome of the die roll. Here are the six rankings:
Lottery 1 >SW Lottery 2
Lottery 1 >SW Lottery 3
Lottery 1 >SW Lottery 4
Lottery 2 ∼SW Lottery 3
Lottery 2 ∼SW Lottery 4
Lottery 3 ∼SW Lottery 4
(b) To rank each lottery pair by first-order stochastic dominance, we compare the cumulative distribution functions (CDFs) of each lottery. The CDF of a lottery gives the probability that the prize is less than or equal to a certain value. Here are the rankings:
Lottery 1 >F OSD Lottery 2 >F OSD Lottery 3 >F OSD Lottery 4
To show why Lottery 1 is first-order stochastically dominant over Lottery 2, consider the following CDFs:
Lottery 1:
Prize ≤ $1: 1/6
Prize ≤ $2: 2/6
Prize ≤ $3: 3/6
Prize ≤ $4: 4/6
Prize ≤ $5: 5/6
Prize ≤ $6: 6/6
Lottery 2:
Prize ≤ $1: 0/6
Prize ≤ $2: 1/6
Prize ≤ $3: 2/6
Prize ≤ $4: 3/6
Prize ≤ $5: 4/6
Prize ≤ $6: 6/6
We can see that for any prize value, the CDF of Lottery 1 is always greater than or equal to the CDF of Lottery 2. This means that the probability of winning a certain prize or less is always greater for Lottery 1 than for Lottery 2, which is the definition of first-order stochastic dominance.
We can similarly compare the CDFs of the other lotteries to arrive at the ranking above.
(c) To rank each lottery pair by second-order stochastic dominance, we compare the CDFs of the lotteries' expected values. The expected value of a lottery is the sum of the prizes multiplied by their probabilities, and the CDF of the expected value gives the probability that the expected value is less than or equal to a certain value. Here are the rankings:
Lottery 1 >SOSD Lottery 2 >SOSD Lottery 4 >SOSD Lottery 3
To show why Lottery 1 is second-order stochastically dominant over Lottery 2, consider the following CDFs of the expected values:
Lottery 1:
Expected value ≤ $1: 1/6
Expected value ≤ $2: 3/6
Expected value ≤ $3: 4/6
Expected value ≤ $4: 5/6
Expected value ≤ $5: 6/6
Expected value ≤ $6: 6/6
Lottery 2:
Expected value ≤ $1: 0/6
Expected value ≤ $2: 1/6
Expected value ≤ $3: 2/6
Expected value ≤ $4: 3/6
Expected value ≤ $5: 4/6
Expected value ≤ $6: 5/6
We can see that for any expected value, the CDF of Lottery 1 is always greater than or equal to the CDF of Lottery 2. This means that the probability of getting an expected value or less is always greater for Lottery 1 than for Lottery 2, which is the definition of second-order stochastic dominance.
We can similarly compare the CDFs of the other lotteries to arrive at the ranking above.
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: 39. Which of the following components in the scientific method best characterizes science, according to the text? a. Confirmation of findings b. Objectivity c. Control d. Self-correction
Answer:b
Step-by-step explanation:
b
There are 152 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans?
Answer:
182
Step-by-step explanation:
152
+31
---------
182
what is the prefix associated with the multiplier 0.001?
The prefix associated with the multiplier 0.001 is "milli-."
The International System of Units (SI) uses prefixes to denote decimal multiples and submultiples of units. The prefix "milli-" corresponds to a multiplier of 0.001. Here's a stepwise explanation of how this prefix is determined:
1. Identify the multiplier: The given multiplier is 0.001.
2. Understand the prefix: The prefix "milli-" represents a factor of 1/1000 or 0.001.
3. Determine the prefix symbol: The symbol for "milli-" is "m." It is written in lowercase.
4. Attach the prefix: To express a unit with the multiplier 0.001, you attach the prefix "milli-" to the base unit. For example, if the base unit is meter (m), the millimeter (mm) represents 0.001 meters.
5. Other examples: The milligram (mg) represents 0.001 grams, the millisecond (ms) represents 0.001 seconds, and the milliliter (mL) represents 0.001 liters.
By using the "milli-" prefix, we can conveniently express values that are a thousandth of the base unit, allowing for easier comprehension and communication in various scientific and everyday contexts.
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depending on the circumstances, the dequeue method of our linkedqueue class sometimes throws the queueunderflowexception. True or false?
True. depending on the circumstances, the dequeue method of our linkedqueue class sometimes throws the queueunderflowexception
The dequeue method of a LinkedQueue class throws a QueueUnderflowException when the queue is empty, and the user attempts to remove an element from it. This is because removing elements from an empty queue is not allowed and violates the basic properties of a queue data structure. Therefore, depending on the circumstances, the dequeue method may throw a QueueUnderflowException to indicate that the operation is invalid.
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describe the three methods used to represent a set. give an example of a set represented by each method.
On solving the provided question, we can say that a set's elements can be arranged in any sequence.
what is set?A mathematical representation of a variety of different things is called a set. Any type of mathematical object may be one of the elements or terms that make up a set. Symbols, numbers, lines, other geometric shapes, points in space, variables, and even other quantities. A proposition in mathematics is a structured group of items that can be expressed as a list or a proposition builder. Curly brackets are commonly used to identify sets. For instance, A = 1, 2, 3, 4 is a set. A set is essentially a group of items that are seen together. The items that make up a set are referred to as its members or elements. The components of a set may consist of any item, but for our purposes, they usually consist of mathematical objects like numbers, functions,
Set Representation
A capital letter indicates a set. For instance, consider sets A, B, N, etc.
Small letters are used to identify the components of a set. Each element is written using curly brackets and a comma in between.
Elements are not repeated in set notation.
A set's elements can be arranged in any sequence.
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A fourth grade class surveys students as to their shoe size.
Which type of graph would best display the results of this survey?
A. Circle graph
B. Histogram
C. Line plot
D. Blox plot
The best type of graph to display the results of this survey would be a histogram. A histogram is a graph that uses bars to represent the frequency distribution of a set of data. In this case, the shoe sizes would be grouped into intervals (e.g., 1-3, 4-6, 7-9, etc.) and the height of each bar would represent the number of students who have shoe sizes within that interval. A histogram is an effective way to show the overall pattern of the distribution of shoe sizes in the class.
A circle graph, also known as a pie chart, is useful for showing parts of a whole. It may not be the best choice for this survey since it does not show the distribution of shoe sizes as effectively as a histogram would.
A line plot, also known as a dot plot, is useful for showing the frequency of individual values in a small data set. It may not be the best choice for this survey since it may not be practical to list every individual shoe size.
A box plot, also known as a box-and-whisker plot, is useful for showing the distribution of a large data set. It may not be the best choice for this survey since the data set is likely to be small, and a histogram would be more appropriate for displaying the results.
in the
fallowing AB llcD the value is equal to
60
75
45
30
Umm soo I kinda need help with math
Answer:
Option A.
Step-by-step explanation:
We are asked to add these 2 expressions.
First, we should know how to combine like terms.
What is combining like terms?Combining like terms is adding 2 or more numbers, or variables that are alike.
\(-\frac{4}{5} t+\frac{5}{3} s \ + -3 - \frac{7}{5} s+2t=?\)
Let's first begin by combining s and t. We can combine like terms for these two variables.
\(-\frac{4}{5} t + 2t = \frac{6}{5} t \ \checkmark\)
\(\frac{5}{3} s \ + \frac{7}{5} s \\Which \ can \ also \ be \ represented \ as...\\\frac{25}{15} s \ - \frac{21}{15} s = \frac{4}{15} s \ \checkmark\)
-3 doesn't have any like terms, meaning it'll stay as -3.
\(\frac{6}{5} t + \frac{4}{15} s - 3\)
Therefore, our answers matches with Option A.
A. Write as many ratios as you can using two side
lengths from ABC.
Answer:
Ratio is 2:1
Step-by-step explanation:
The bigger triangle is ×2 bigger so ratios can be
2:1 , 4:2, 8:4 , 16:8 and so on
REALLY NEED HELP WITH THIS
well, profit equations are usually a parabolic path like a camel's hump, profit goes up up and reaches a maximum then back down, the issue is to settle at the maximum point, thus the maximum profit.
So for this equation, like any quadratic with a negative leading coefficient, the maximum will occur at its vertex, with x-price at y-profit.
\(\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-5}x^2\stackrel{\stackrel{b}{\downarrow }}{+209}x\stackrel{\stackrel{c}{\downarrow }}{-1090} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 209}{2(-5)}~~~~ ,~~~~ -1090-\cfrac{ (209)^2}{4(-5)}\right) \implies\left( - \cfrac{ 209 }{ -10 }~~,~~-1090 - \cfrac{ 43681 }{ -20 } \right)\)
\(\left( \cfrac{ 209 }{ 10 }~~,~~-1090 + \cfrac{ 43681 }{ 20 } \right)\implies \left( \cfrac{ 209 }{ 10 }~~,~~-1090 + 2184.05 \right) \\\\\\ ~\hfill~\stackrel{ \$price\qquad profit }{(~20.90~~,~~ 1094.05~)}~\hfill~\)
Devaughn is 10 years younger than Sydney. The sum of their ages is 74. What is Sydney's age? yearsold
Step-by-step explanation:
x = devaughn age
y = sydney age
x = y - 9
x + y = 61
y-9 + y = 61
2y= 61+9
2y = 70
y = 35
x = 35 - 9 = 26
check
35 + 26 = 61
35- 26 = 9
Hope this helps!
In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? Explain.
Given:
\(\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}\)\(\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}\)