The equivalent expression of the expression given as 9x + (5y + x) - 3y is 10x + 2y.
Calculating the equivalent expressionsGiven that
9x + (5y + x) - 3y
The expression equivalent to 9x + (5y + x) - 3y are expressions that have teh same value as 9x + (5y + x) - 3y
We can simplify the expression 9x + (5y + x) - 3y as follows:
9x + (5y + x) - 3y
= 9x + 5y + x - 3y // remove parentheses
= 10x + 2y // combine like terms
So the expression is equivalent to 10x + 2y.
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Multiplying by 1.36 is the same as increasing by
%.
Answer:
36%
Step-by-step explanation:
1 = 100%
so 1.36 is increasing by 36%
Let f(x) be a function having derivatives of all orders for all real numbers. If f(-4) = 8, f'(-4) = 1, f"(-4) = 5, f'"(-4) = 1, f(4)(-4) = 3, and f(5)(-4) = -10, what is the approximation for the value of f(-3.2) obtained using the degree 3 Taylor Polynomial centered about x = -4? Round to the nearest thousandth. Answer:
To find the approximation for the value of f(-3.2) using the degree 3 Taylor Polynomial centered about x = -4, we need to use the given derivatives of f at x = -4. approximation for the value of f(-3.2) is 9.885.
The Taylor Polynomial of degree 3 centered at x = -4 is given by: P3(x) = f(-4) + f'(-4)(x - (-4)) + (f"(-4)/2!)(x - (-4))2 + (f'"(-4)/3!)(x - (-4))3
Plugging in the given values: P3(x) = 8 + 1(x + 4) + (5/2!)(x + 4)2 + (1/3!)(x + 4)3 Simplifying further: P3(x) = 8 + (x + 4) + (5/2)(x + 4)2 + (1/6)(x + \(4)^3\)
Now, we can approximate the value of f(-3.2) using this polynomial: f(-3.2) ≈ P3(-3.2 f(-3.2) ≈ 8 + (-3.2 + 4) + (5/2)(-3.2 + 4) + (1/6)(-3.2 + 4)3 f(-3.2) ≈ 8 + 0.8 + (5/2)(0.8)2 + (1/6)(0.8)3
f(-3.2) ≈ 8 + 0.8 + (5/2)(0.64) + (1/6)(0.512) f(-3.2) ≈ 8 + 0.8 + 1 + 0.085333 f(-3.2) ≈ 9.885333 Rounding to the nearest thousandth, the approximation for f(-3.2) obtained using the degree 3 Taylor Polynomial centered about x = -4 is approximately 9.885.
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if you were to design a class to represent a fraction, what 2 instance variables would be necessary?
The two necessary instance variables for representing a fraction would be the numerator and the denominator.
What are the essential instance variables for representing a fraction?The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.
These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.
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Once we have categorized an object, our memory of the object increasingly resembles thecategoryA) algorithm.B) prototype.C) heuristic.D) mental set
Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.
This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.
our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.
A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.
Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.
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This is a 30-60-90 triangle.
What is the measure of x?
X
12
x = [?]
Answer:
x = 6
Step-by-step explanation:
The sides of a 30-60-99 triangle are: a) x sqrt 3, b) x, and the hypotenuse 2x
2x = 12
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
99.40
Step-by-step explanation:
$71 * .4 = $28.40
$71 + $28.40 = 99.40
Answer:
The selling price would be $99.40
Which best describes the relationship between the successive terms in the sequence below? –3.2, 4.8, –7.2, 10.8, …
Answer:
A geometric progression common ratio -1.5
Answer:
The correct answer is C) The terms have a common ratio of –1.5.
Step-by-step explanation:
The terms having a common ratio of -1.5 best describes the relationship between the successive terms in the sequence from the terms given below. Correct on edge2020 :)
GEOMETRY . I WILL GIVE BRAINLIEST!!
Which one would be the answer out of all these choices??
Answer:
1]first one
Step-by-step explanation:
because it is in the x line and its - so its the first one
Identify the correct steps involved while proving (pv ﹁q) ^ (q v ﹁r) ^ (rv ﹁p) ¡s true when p, q, and r have the same truth value and it is false otherwise (Check all that apply.) We should prove that (p v q) ^ (qv ^ (rv is true if and only ifp, q, and r have the same truth value. Suppose p, q, and rare all true. Then, (p v -) (qv (rv -p) is true as each clause has an unnegated variable.Suppose p, q, and rare all true. Then, (DV าสู่ ^ (qv ^ (rv is false as each clause has an unnegated variable. Suppose p, q, and rare all false. Again, (p v g) A (qvA (rv -p) is true as each clause has a negated variable.Now, suppose one of the variables p, q, or r is true and the other two are false. Then, the clause that contains the negation of the true variable will be false. Now, suppose one of the variables p, q, or ris true and the other two are false. Then, the clause that contains the negation of the true variable will be true We get a similar conclusion when one of the variables is false and the other two are true. Hence, (p v q) ^ (q ν ^ (r v p) is true when R q, and r have the same truth value and it is false otherwise.
Prove \((pv q) ^ (qv ^ (rv\) is true if all p, q, r same truth value, false otherwise. Compare true/false for each clause with un/negated variable.
Step 1: We should prove that \((p v q) ^ (qv ^ (rv\) is true if and only ifp, q, and r have the same truth value.
Step 2: Suppose p, q, and rare all true. Then, (p v -) (qv (rv -p) is true as each clause has an unnegated variable.
Step 3: Suppose p, q, and rare all false. Again, (p v g) A (qvA (rv -p) is true as each clause has a negated variable.
Step 4: Now, suppose one of the variables p, q, or r is true and the other two are false. Then, the clause that contains the negation of the true variable will be false.
Step 5: Similarly, when one of the variables is false and the other two are true, the clause that contains the negation of the true variable will be true.
Step 6: Hence,\((p v q) ^ (q ν ^ (r v p)\) is true when R q, and r have the same truth value and it is false otherwise.
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4. Determine the stability of the following systems with the characteristic equations. (a) 12s^5 + 4s^4 +6s^3 +2s^2 +6s + 4 = 0 (6 marks) (b) 12s^5 +8s^4 + 18s^3 + 12s^2 +9s + 6 = 0 (6 marks)
There are no sign changes in the first column of the Routh array, therefore the system is stable.
Given: Characteristic equation for system `(a)`: 12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0
Characteristic equation for system `(b)`: 12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0
To determine the stability of the systems with the given characteristic equations, we need to find out the roots of the given polynomial equations and check their stability using Routh-Hurwitz criteria.
To find out the stability of the system with given characteristic equation, we have to check the conditions of Routh-Hurwitz criteria.
Let's discuss these conditions:1. For the system to be stable, the coefficient of the first column of the Routh array must be greater than 0.2.
The number of sign changes in the first column of the Routh array represents the number of roots of the characteristic equation in the right-half of the s-plane.
This should be equal to zero for the system to be stable.
There should be no row in the Routh array which has all elements as zero.
If any such row exists, then the system is either unstable or marginally stable.
(a) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0`0: 12 6 42: 4 2.66733: 5.6667 2.22224: 2.2963.5 0.48149
Since, there are 2 sign changes in the first column of the Routh array, therefore the system is unstable.
(b) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0`0: 12 18 62: 8 12 03: 5.3333 0 04: 2 0 05: 6 0 0
Since there are no sign changes in the first column of the Routh array, therefore the system is stable.
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2. draw the lewis dot structure for each of the following molecules or ions. determine the number of bonding and nonbonding electron domains and indicate their electron domain and molecular geometries BF2
The Lewis dot structure for BF2 is:
F B F
\ /
B
/ \
F B F
In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.
To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.
The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.
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what is the center-to-center distance between circles x and y?
The center-to-center distance is the distance between the centers of two circles. This measurement is essential in ensuring that circular elements are spaced correctly.
To determine the center-to-center distance between circles x and y, we need to measure the distance between their centers. This distance is commonly referred to as the center-to-center distance. The center-to-center distance is essential when designing objects or structures that require accurate spacing between circular elements.
To calculate the center-to-center distance, we need to measure the distance between the center point of circle x and the center point of circle y. We can do this using a ruler or a measuring tape.
Once we have determined the center-to-center distance, we can use this measurement to ensure that the circles are spaced appropriately. This measurement is especially important in fields like engineering, where precise measurements are crucial for the success of a project.
In summary, the center-to-center distance is the distance between the centers of two circles. This measurement is essential in ensuring that circular elements are spaced correctly.
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Evaluate: 6x2 + (9y-2)+y when x= 3 and y=8.
Answer:
98
Step-by-step explanation: All you have to do is multiply 6 by 3 and then multiply that answer by 2. Then you multiply 9 by 8 and subtract 2, then you add all that together and finally, subtract it by 8
Answer:
The answer is 402.
Step-by-step explanation:
First thing to do is substitute the variables.
6(3)^2+(9(8)-2)+8
Now, multiply and subtract what is in the parenthesis.
6(3)^2+(72-2)+8
6(3)^2+70+8
Now, multiply once again.
18^2+70+8
Now, simplify the exponents.
324+70+8=402
Examine the two distinct lines defined by the following two equations in slope-intercept form:
Line ℓ: y = 34x + 6
Line k: y = 34x - 7
Are lines ℓ and k parallel?
a) Yes
b) No
We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.
However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.
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The answer is option a) Yes. Lines ℓ and k are parallel to each other.
The two distinct lines defined by the following two equations in slope-intercept form are:
Line ℓ: y = 34x + 6
Line k: y = 34x - 7
To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.
Both lines are in slope-intercept form, so we can immediately read off their slopes:
Line ℓ has a slope of 34, and line k has a slope of 34.
Both the lines ℓ and k have the same slope of 34.
Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.
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Solve this equation using the quadratic formula (preferably): 3x^2 - 4x + 6 = 0
Answer:
x = 2/3 ± i√14/3
Step-by-step explanation:
Given the velocity v = ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v = 9.8t + 9, s(0) = 17
We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.
Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)
Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C
Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17
Hence, the position of the body at time t is 9t + 17 units.
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1) Are the triangles congruent? If so, how do you know? QRS, URT
Answer:Yes
Step-by-step explanation:
Both angles are the same. Meaning they are congruent with each other
Please help due in 10 min
check 3 is a zero of the polynomial p(x)= 3x2-27
Answer:
see explanation
Step-by-step explanation:
If x = 3 is a zero then p(3) = 0 , that is
p(3) = 3(3)² - 27 = 3(9) - 27 = 27 - 27 = 0
Thus x = 3 is a zero of p(x)
Answer:
Step-by-step explanation:
p(x) = 3x² - 27
p(3) = 3*3² - 27
= 3 * 9 - 27
= 27 - 27
= 0
p(3) =0 . Therefore, 3 is z zero of p(x)
Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that both cards are face cards (Jack, Queen, King)? Are these events independent? (1 point)
Answer:
chances of that would be a 5%
the acf for the gap sales is shown above. there is clear evidence in the acf that group of answer choices there is a strong trend in the data. there is no seasonality in the data. the data is too strongly correlated to identify trend. the data is stationary. gap sales have fallen in the last 12 periods.
Based on the given information about the acf for the gap sales. The statement "there is clear evidence in the acf that there is a strong trend in the data" is correct. so, the correct option is A).
The given statement is correct as the autocorrelation function (ACF) measures the correlation between a time series and its lagged values. If there is a strong trend in the data, it will be reflected in the ACF as a significant correlation at lag 1 and beyond. Therefore, a clear evidence of a strong trend in the data can be observed in the ACF.
However, the other answer choices cannot be determined from the information provided. There is no information provided regarding seasonality or the stationarity of the data, and the information provided is not sufficient to determine whether the data has fallen in the last 12 periods. so, the correct answer is A).
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A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.
Answer:
Step-by-step explanation:
The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.
Let x be the height of the antenna.
We can find the length of the antenna using the trigonometric ratios:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying tan ratio in the right angle triangle:
tan70 = x/15
x =15tan70
x = 41.212 feet ≈ 41.23 feet
Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.
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Find the percentage of: 21% of 18 use a set of fraction operations method to find the percentage.
Answer:
4.8%
Step-by-step explanation:
21% of 18
following the BODMAS rule, OF means multiplication
and also this sign% always means 100
so,it will be 21/100 * 18/1
this a laptop so i cant put it in a fraction way.....okay
this is how it shows...21/100 * 18/1
lets divide....
21/100 * 18/1
we will use 2 to divide
2 in 100=50
2 in 18=9
so it will be 21/50 * 9/1
nothing can divide so we will multiply
21*9/50*1
189/50=3.78≈4.8%
How many terms are in this expression?
6q + 7r
Answer:
3 terms
Step-by-step explanation:
The concept that a message gives different meanings to different objects is called _____.
a. ​encapsulation
b. ​polymorphism
c. ​linear addressing
d. ​dynamic addressing
The concept that a message gives different meanings to different objects is called option (b) polymorphism.
Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.
This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.
Therefore, the correct option is (b) polymorphism
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What is 5.37divied by 3 put 5.37 at the top and 3 at the bottom PLEASE I ONLY HAVE 19 MINS TO SUMMIT THIS!!
The value of 5.37/3 is 1.79.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given term is 5.37 divided by 3,
The mathematical expression for 5.37 divided by 3,
= 5.37/3
= 1.79
The value of 5.37 divided by 3 is 1.79.
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please help.
I need which letters to click
Between what two integers on a number line would 8√ be plotted?
Answer:
81 and 49
Step-by-step explanation:
Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83
Answer:
Whats the Question
Step-by-step explanation:
Answer:
I dont really understand the question but here what I got.
Step-by-step explanation:
1.73$+$0.13=1.86$
So he bought something else that cause 0.97$ to equal =2.83$