Answer:
Step-by-step explanation:
The equation x^3+3y=9 is nonlinear because it contains an exponent of 3 on the variable x. In a linear equation, the highest power of any variable is 1. Nonlinear equations contain exponents that are higher than 1 on one or more variables.
Answer: The equation x^3+3y=9 is nonlinear because it contains an exponent of 3 on the variable x. In general, an equation is linear if it can be written in the form ax + by = c, where a and b are constants and x and y are variables. Equations that cannot be written in this form are nonlinear.
Please help and explain this simple mathematics to me.
Thank you
I'll go over problem 9 part (a) to get you started.
The sine rule, aka law of sines, is this
[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b} = \frac{\sin(C)}{c}[/tex]
where the uppercase letters A,B,C are the angles and the lowercase letters a,b,c are the sides opposite those respective angles. Eg: angle B is opposite side b.
Some textbooks may have the lowercase letters up top, but it doesn't matter since it's the same ratio. All that matters is things stay consistent. The lowercase letters must be together on the same level, and same goes for the uppercase letters on their own separate level.
We can then break up that equation into these 3 separate equations, to make things more bite-sized so to speak.
[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\\\\[/tex]
Let's focus on the 3rd equation and do a bit of algebraic manipulation like so
[tex]\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\\\\\sin(A) = \frac{a\sin(C)}{c}\\\\\frac{\sin(A)}{\sin(C)} = \frac{a}{c}\\\\[/tex]
Through similar steps, we can say:
[tex]\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\\\\\sin(B) = \frac{b\sin(C)}{c}\\\\\frac{\sin(B)}{\sin(C)} = \frac{b}{c}\\\\[/tex]
-------------------------------------------
To summarize the previous section, we found that:
[tex]\frac{\sin(A)}{\sin(C)} = \frac{a}{c}\\\\\frac{\sin(B)}{\sin(C)} = \frac{b}{c}\\\\[/tex]
It then allows us to do the following steps for problem 9, part (a)
[tex]\frac{a+b}{c} = \frac{\sin(A)+\sin(B)}{\sin(C)}\\\\\frac{a+b}{c} = \frac{\sin(A)}{\sin(C)}+\frac{\sin(B)}{\sin(C)}\\\\\frac{a+b}{c} = \frac{a}{c}+\frac{b}{c}\\\\\frac{a+b}{c} = \frac{a+b}{c}\\\\[/tex]
We have confirmed that the equation in problem 9 part (a) is indeed an identity. Take note how I kept the left hand side the same the entire time while the right hand side transformed into the left side.
Similar steps will be taken for problem 9, part (b). I'll let you do that part.
it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.
It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.
In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.
Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.
So, it is unknown if any polynomial-time algorithms will ever be developed for them.
By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
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A game show host is going to draw a random number from 1 to 10. If the number is odd, you win $17. If the number is even, you win nothing. If you play the game, what is the expected payoff?
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.6, P(B) = 0.3, and P(C) = 0.1. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers2 (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers^2
Variance of customers who pay by card = 16
Mean number of customers = 20
Given that,
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with
P(A)=0.4,
P(B)=0.2,
and
P(C)=0.4
Because we are interested in whether or not a debit card was used, we can use the binomial distribution.
Let X= the number of customers who use a debit card.
Here, probability of customers who pay with debit card (or success) is
p=0.2
(a) Mean and variance of the number of customers who pay with a debit card:
The mean number of customers who pay with a debit card can be calculated as given below:
μ=np =100×0.2
=20
The variance of the number of customers who pay with a debit card can be calculated as given below:
σ²=np(1−p) =100×0.2(1−0.2)
=16
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1.
Kim's age to her sister's age, you get 36. How old is each
Kim's age is twice that of her sister. When you add
sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Sister's age will be equal to 12 and Kim's age is 24.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Consider that x is sister's age, Kim's age is twice that of her sister
Thus Kim's age = 2x
Kim’s age + Sister’s age = 36
The equation:
x + 2x = 36
Now solve the equation;
x + 2x = 36
3x = 36
x = 36 / 3
x = 12
Therefore, Kim's age = 2x = 2(12) = 24
Hence, Sister's age is 12 and Kim's age is 24.
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11. Solve the equation.
2(3z-2) + 8 = 34
Oz=3
Oz=-3
Oz=-4
Oz=5
(1 point)
Answer:z=5 the last option I hope this is helpful to you and anyone else who needs help
Step-by-step explanation:
2(3z-2)+8=34
Distribute 2 through the parentheses
6z-4+8=34
Calculate the sum
6z+4=34
Move the constant to the right-hand side and change its sign
6z=34-4
Subtract the numbers
6z=30
then Divide both sides of the equation by 6
z=5
Use the matrices below to perform matrix multiplication.
B=[2−1060311], C=⎡⎣⎢4−251068⎤⎦⎥
The matrix resulting from the multiplication of matrices B and C is given as follows:
[-92, -730; 3350, 19648]
How to multiply the matrices?The matrices in this problem are defined as follows:
B = [2, -10; 60, 311]. (; represents new line, the comma separates elements on the same line).C = [4, -25; 10, 68].For the product of the matrices, the row of matrix B multiplies the column of matrix C.
Then the element at the first row and the first column of the product matrix is given as follows:
2 x 4 - 10 x 10 = -92
The element at the first row and the second column of the product matrix is given as follows:
2 x -25 - 10 x 68 = -730.
The element at the second row and the first column of the product matrix is given as follows:
60 x 4 + 311 x 10 = 3350.
The element at the second row and the second column of the product matrix is given as follows:
60 x -25 + 311 x 68 = 19648.
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Which of the following is an example of a combination?
O A. The number of ways 3 people can sit on a couch.
O B. Picking 4 sets of towels out of 20 different sets.
• C. The number of ways 12 picture frames can be arranged on a shelf.
• D. Selecting a first, second and third place winner at a beauty
competition.
Answer: A or D
Step-by-step explanation: It can be A. But it can also be D. I would try D tho because with D, your combining 3 people together.
I need help with my Geo hw!-
Answer:
listed below
Step-by-step explanation:
5.) x=77 and y=63
6.)y=60 and x= 1230
7.)y=65 and x=92
8.)y=69 and x=175
Use a sign chart to solve the inequality. Express the solution in inequality notation and in interval notation. X2 - 5x - 36 < 0 The solution expressed in inequality notation is.
The solution in inequality notation and in interval notation is (-∞ . -√5]∪[√5,36)
The term inequality refers the a relationship between two expressions or values that are not equal to each other is called 'inequality.
Here we have given the inequality (x² - 5)/ (x - 36) < 0
And we need to find the solution in inequality notation and in interval notation.
In order to find the inequality notation, we have to solve the given inequality, then we get.
(x² - 5)/ (x - 36) < 0
(x² - 5) < 0
x² < 5
x < √5
While we looking into the inequality we must know that the denominator must not be 0.
So, the interval notation can be written as,
=> (-∞ . -√5]∪[√5,36)
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A professor wanted to know what proportion of college students believe in ghosts. She polled 200 students and found that 58% said they believe in ghosts. Create a 99% confidence interval for the true proportion of college students believing in ghosts. a. (0.5116, 0.64840 b. (0.2074, 0.3727) c. (0.4901, 0.6699) d. (0.2271,0.3529)
A 99% confidence interval for the true proportion of college students believing in ghosts is Option(c) (0.4901, 0.6699)
According to the question,
A professor wanted to know what proportion of college students believe in ghosts.
For that he drawn a sample from the college.
Sample size : n = 200
Proportion of students that believed in ghosts in sample = 58%
=> p = 0.58
Proportion of students who does not believe in ghost : q = 1 - p
=> q = 0.42
We have to create a 99% confidence interval for a true proportion of college students believing in the ghosts
Formula of C.I = [tex]p \pm ( z_{\alpha} \sqrt{\frac{pq}{n}})[/tex]
Where p and q is sample proportion , z is value of CI at given α level of significance and n is sample size
C.I at 99% = 0.58 ± 2.576 √0.58×0.42/200
=> 0.58 ± 2.576 √0.001218
=> 0.58 ± 2.576 × 0.035
=> 0.58 ± 0.08958
C.I = ( 0.58 - 0.08958 , 0.58 + 0.08958)
=> C.I = (0.4901, 0.6699)
Hence, Option (c) is correct
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Answer:
41%
Step-by-step explanation:
What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
The end behavior of the graph of the polynomial function:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
What is an end behavior?
The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f.
Here, we have
f(x) = –x⁵ + 9x⁴ – 18x³
F(x) is a fifth-degree (odd function ) with a negative leading coefficient
If the exponent is odd and the leading coefficient is negative then the end behavior is
As x approaches ∞, y approaches -∞
As you go on the right, f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left, f(x) goes up.
Hence, the end behavior of the graph of the polynomial function: As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
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Select the correct answer,
Which function defines (f + g)(x)?
(3.8)242
(2.6)241
g(x)
(f 4 g)(x) = (2.6) 2+1
(f + g)(z) = (1.8)
(f 4 g)(x)
D. (f 4 g)(z) = (28)***
A.
B.
C.
(1.8)2247242
A: (f ÷ g)(x) = (3.6)⁻²ˣ⁺¹ is the solution of the function.
What is a function?Functions are relationships that exist between a set of inputs and outputs. A function is an association of inputs, where each input is directly linked to one or more outputs. Range, codomain, and domain are all attributes of each function.
The given functions are:
f(x) = (3.6)ˣ⁺²
And g(x) = (3.6)³ˣ⁺¹
To find (f ÷ g)(x):
We take division of f(x) by g(x).
(f ÷ g)(x) = f(x) ÷ g(x)
(f ÷ g)(x) = (3.6)ˣ⁺² ÷ (3.6)³ˣ⁺¹
(f ÷ g)(x) = (3.6)ˣ⁺² ÷ (3.6)³ˣ⁺¹
(f ÷ g)(x) = (3.6)ˣ⁺² / (3.6)³ˣ⁺¹
Simplifying,
(f ÷ g)(x) = (3.6)ˣ (3.6)² / (3.6)³ˣ (3.6)¹
(f ÷ g)(x) = (3.6)ˣ⁻³ˣ (3.6)
(f ÷ g)(x) = (3.6)⁻²ˣ (3.6)
(f ÷ g)(x) = (3.6)⁻²ˣ⁺¹
Therefore, the answer is A: (f ÷ g)(x) = (3.6)⁻²ˣ⁺¹
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Here is a linear equation: y= 1 4x+2. What is the x-intercept of the graph of the equation?
As per the linear equation, the x-intercept of the graph of the equation will be (-8, 0).
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the information given in the question,
The given equation is,
y= -1/4 x + 2
Now, let's take y = 0 for x- intercept,
So, the equation will be,
0 = 1/4x + 2
1/4x = -2
x= -8
The x-intercept is (-8, 0).
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The question sees incomplete, your question may be:
Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?
What is the length of the missing side of the triangle below to the nearest tenth of a centimeter?
4^2 + 6^2 = C^2
Answer:
7.2 cm
Step-by-step explanation:
You want the value of C to the nearest tenth centimeter, given that 4^2 + 6^2 = C^2.
SolutionSimplifying gives ...
4^2 + 6^2 = C^2
16 +36 = C^2 = 52
C = √52 ≈ 7.2
The length of the missing side is about 7.2 cm.
The distances between Dry Gulch, Wet Creek, and Soggy River can be represented by a triangle.
The distance between Dry Gulch and Wet Creek is 530 miles and the distance between Dry Gulch and Soggy River is 721 miles. Circle ALL the possible distances below between Wet Creek and Soggy River: SHOW YOUR WORK
The distance between Wet Creek and Soggy will be 894.03 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The distances between Dry Ravine, Wet Rivulet, and Saturated Waterway can be addressed by a triangle.
The distance between Dry Ravine and Wet Rivulet is 530 miles and the distance between Dry Gorge and Saturated Waterway is 721 miles.
The distance between Wet Creek and Soggy will be given as,
d² = 530² + 721²
d² = 280,900 + 518,400
d² = 799,300
d = 894.03 miles
The distance between Wet River and Soaked will be 894.03 miles.
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Answer to this required:
Answer:
9
Step-by-step explanation:
3.4^0 = 1
9^1 = 9
1 * 9 = 9
Which variable has a binomial distribution?
When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws.
When tiles are drawn, without replacement, from a bag of lettered tiles, X is the number of times it takes to get a vowel.
When tiles are drawn, without replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws.
When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of times it takes to get a vowel.
When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws variable has binomial distribution
The possibility that a value would take one of two independent values given a particular combination of factors or assumptions is summarised by the statistical distribution known as the binomial distribution.
The basic presumptions of the binomial distribution are:
each trial has a single possible outcome each trial has an equal chance of success each trial is either independent of the others or mutually exclusive.As opposed to a continuous distribution, like the normal distribution, the binomial distribution is a frequent discrete distribution used in statistics.
The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution.
The result is then multiplied by the sum of the number of attempts and the number of successes.
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For rhombus LMNO, m∠LON = 102° and NP = 5 units.
Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.
Use the diagram of rhombus LMNO to find the missing measures.
The measure of ∠LPM is
°.
The measure of ∠PMN is
°.
The length of LN is
units.
the measure of ∠LPM is 90°
the measure of ∠PMN is 102°
the length of LN is 10 units.
Define Rhombus.
A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal.
For a Rhombus, LMNO
∠LON = 102°
NP = 5 units
By the properties of Rhombus, we know that
All sides of a rhombus are congruent (equal)
So, LM = MN = NO = OL
and
Opposite angles are equal and the opposite sides are parallel.
So, ∠LON = 102° = ∠LMN
Since Adjacent angles add up to 180°.
Therefore ∠L + ∠M = 180°
∠M + ∠N = 180°
∠N + ∠O = 180°
∠O + ∠L = 180°
So, ∠N = 180° - ∠O = 180° - 102° =78°
∠L = 180° - ∠O = 180° - 102° =78°
∠M = 180° - ∠L = 180° - 78° =102°
Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.
So, ∠LPM = ∠NP0 = ∠MPN = ∠LPO =90°
Thus, the measure of ∠LPM is 90°
the measure of ∠PMN is 102°
the length of LN is 10 units.
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Answer:
Lpm= 90
PMN=51
LN= 10
Step-by-step explanation:
What is true about machine learning algorithms? A/Model is fitted using training dataset B/Performance of the model is assessed using test data C/Model is validated on validation dataset D/Model is calibrated on test dataset E/Validation dataset is used to minize model overfitting Select all what applies to traditional classification tree model: A/Group of answer choices B/Unsupervised learning method C/Requires categorical output(target) variable D/Does not require any output variables E/None of the above F/Supervised learning method
A. Model is fitted using training dataset and E. Validation dataset is used to minimize model overfitting are true about machine learning algorithms
The process by which an AI system completes its task—generally, forecasting output values from provided input data—is known as a machine learning algorithm. Classification and regression are the two key operations of machine learning algorithms.
Simple linear regression, decision trees, logistic regression, the KNN algorithm, and other well-known supervised learning techniques are some examples.
Machine learning is crucial because it helps businesses identify trends in customer behaviour and operational patterns and facilitates the creation of new goods.
According to the question,
Option A and option E are correct about the machine learning algorithms
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You are solving the equation √x+2= 12 and decide to start by squaring both sides. Which equation results if you
square both sides as your first step?
Ox+2=12
Ox+2=144
O² + 4 = 144
Oz² + 2x + 4 = 144
The equation that result if you square both sides of the equation √x+2 = 12 is x + 2 = 144.
How to solve equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Therefore, the equation √x+2= 12 can be solved as follows;
The first step to solve the equation is by squaring both sides of the equation as follows:
√x+2 = 12
square both sides of the equation
Hence,
(√x+2)² = 12²
The square root will cancel the square on the left side of the equation. Therefore,
(√x+2)² = 12²
x + 2 = 12 × 12
Hence,
x + 2 = 144
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which of the following are prime polynomials
-n+5
28n+49
7n+2
8n+40
Y = mx + b, where m stands for the line's slope and b for the y-intercept, is how the equation for the line is expressed in the slope-intercept form.
How do you find the slope-intercept form?This serves as a primer on how to draw lines using the slope and y-intercept values from an equation. As we generally begin, keep in mind that the y-intercept is the point where the graph crosses the y-axis. Calculate the slope after first locating the y-intercept. The slope's positive or negative nature will do for the time being.The first variables we'll need in our function are listed below:= slope
: b = y-intercept
Y = mx + b represents the equation. In the example, y = 2x + 4, slope = 2, and y-intercept = 4, the x and y variables are still represented by letters, but m and b are now represented by numbers. A few illustrations of using the slope and intercept from an equation are provided in the following video.To Learn more About slope-intercept form refer to:
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Is the table of values an accurate representation of the graph provided below?
*Justify your answer by analyzing the rate of change and y-intercept of both linear functions.*
Answer:
Yes I think
The only problem is that there are no numbers in the graph
i need help divided 4/7 by 3
Answer:
0.1904
Step-by-step explanation:
4/7 ÷ 3 is = 0.1904
Answer: I hope this helps
Step-by-step explanation:
4/7 divided by 3
Dividing is equivalent to multiplying by the reciprocal
4/7 times 1/3 or 4/7•1/3
Multiply the fractions
And you get
4/21 or 0.190476
Which statement correctly applies mathematical reasoning to find the possible values for x in the equation x − 1.2 = 1.6 and you get this
Answer:
2.8
Step-by-step explanation:
x-1.2=1.6
x=1.2+1.6
x=2.8
How many different ways can the 11 letters in
the word PROBABILITY be arranged?
Answer: 1
Step-by-step explanation:
Find the measure of one exterior angle in each regular polygon. Round your answer to the
nearest tenth if necessary.
3)
45°
27.7°
51.4°
A contractor is building a new subdivision. A rectangular piece of land for a new house and yard
is 60 feet wide. The length of the land is longer than the width by a distance of n feet. Which
equation represents the area of the land?
OAA = 3,600 + 60m
OB A = 60n
OC A = 3,600+ n
OD. A = 240 + 2n
The area of the land is 3600 + 60n.
What is area?
Area is a mathematical concept that expresses the size of a region on a plane or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Given: A contractor is building a new subdivision.
A rectangular piece of land for a new house and yard is 60 feet wide.
The length of the land is longer than the width by a distance of n feet.
So, width = 60 feet
and length = 60 + n feet
Since, the area of rectangular piece of land (A)
Area = length x width
Area = (60 + n) x 60
Area = 3600 + 60n
Hence, the area of the land is 3600 + 60n.
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Multiply.
17.22(−2.4)
Enter your answer in the box.
Answer:
-41.328
Step-by-step explanation:
Answer:
-41.328
Step-by-step explanation:
Addition multiplied by subtraction gets you subtraction. +-=-
so now, ()= multiplication
so now all you have to do is 17.22 times 2.4 which gets us 41.328
then, add the negative sign which gives you -41.328
yw :)
If the probability that the Islanders will beat the Rangers in a game is 0.87,
what is the probability that the Islanders will win exactly zero out of six
games in a series against the Rangers? Round your answer to the nearest
thousandth.
Answer:
0.002
Step-by-step explanation:
The probability that the Islanders will win exactly zero out of six games in a series against the Rangers is 0.002. To find this probability, you need to use the binomial probability formula. This formula calculates the probability of a certain number of successes in a series of independent trials, given the probability of success in a single trial. In this case, the probability of success is 0.87, and the number of trials is 6. The number of successes is 0, because the Islanders are not expected to win any of the games. Plugging these values into the formula, we get:
P(exactly 0 successes) = (6 choose 0) * (0.87^0) * (1 - 0.87)^6
= 1 * 1 * (1 - 0.87)^6
= 0.002
Therefore, the probability that the Islanders will win exactly zero out of six games in a series against the Rangers is 0.002.
