Which graph represents this equation? \(y=\frac{3}{2}x^{2}-6x\)
I know the answer is C. What I want to know is WHY.

The first statement describes the process of sampling while the second statement introduces the concept of Fourier series, which represents periodic signals as a sum of periodic complex exponentials.

1. The first statement describes the process of sampling in digital signal processing. Sampling refers to the conversion of a continuous-time signal into a discrete-time signal by measuring the signal at regular intervals of time. The resulting digital numbers represent the measurements of the signal at those specific time points. This process is fundamental in digitizing analog signals for various applications such as audio processing, image processing, and telecommunications. Sampling allows for the representation, storage, and manipulation of signals using digital systems.

2. The second statement refers to the concept of Fourier series, which is a mathematical representation of periodic signals. A periodic complex exponential is a waveform that repeats itself after a certain period and is characterized by a complex exponential function. In Fourier series, periodic signals can be expressed as a sum of sinusoidal functions with different frequencies, amplitudes, and phases. These sinusoidal functions are known as harmonics or complex exponentials. The fundamental frequency is the lowest frequency component in the series, and the harmonics are integer multiples of the fundamental frequency. Fourier series is widely used in signal analysis and synthesis, as it provides a powerful tool to analyze and represent periodic signals in terms of their frequency content.

Both sampling and Fourier series are fundamental concepts in digital signal processing and play crucial roles in various applications in engineering, communications, and signal analysis.

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The set of points where the function is continuous is: {(x, y) | e^xy ≠ 1}

A continuous function is one in which a small change in the input results in a small change in the output.

The formal definition of a continuous function is as follows:

A function f(x) is continuous at a point x = a if the limit of f(x) as x approaches a is equal to f(a), i.e. lim x→a f(x) = f(a).

A function is continuous if it is continuous at every point in its domain.

A function is said to have a point of discontinuity if it is not continuous at that point. This means that the limit of the function does not exist at that point or that the limit does exist, but it is not equal to the function value.

So, in the given function H(x, y) = (e^x + e^y) / (e^xy - 1), the function is continuous at all points (x, y) except where e^xy = 1.

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1000 is the amount of garbage that was initially dumped in the landfill before any additional garbage was added. i.e: It is the quantity of garbage on Day 0.

The initial function given in the problem is n = 2000x + 1000.

The definition of a function's initial value is its starting value, which is unaffected by any variables used in the function.

The given function is:

n = 2000x + 1000

where the amount of trash is n, and the number of days is x. We'll set the variable (x) equal to zero to obtain the starting value.

Therefore, initially:

n = 2000(0) + 1000 = 1000

This indicates that the trash had a value of 1000 at day zero.

Therefore 1000 represents the amount of trash that was originally present in the landfill before dumping any extra trash.

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Answer:

2

Step-by-step explanation:

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

x = 4

Step-by-step explanation:

2x + 6 = 7x - 14

-7x        -7x

-5x + 6 = -14

      - 6    - 6

-5x = -20

/-5      /-5

x = 4

Check your answer:

2x + 6 = 7x - 14

2(4) + 6 = 7(4) - 14

8 + 6 = 28 - 14

14 = 14

This statement is true

Hope this helps!

Using the digits 7,8 and 9, the positive seven-digit integers can be made that are palindromes are 729.

When constructing a seven-digit palindrome out of the digits 7, 8, and 9, the first three digits must be the same as the last three digits in reverse order.

This means that each of the first three digits can be either a 7, 8, or 9. Therefore, the total number of combinations for the first three digits is 3 x 3 x 3 = 27.

Since the last three digits must match the first three, the total number of possible combinations of integers is 27 x 27 = 729.

Thus, the total number of positive seven-digit palindromes that can be created using the digits 7, 8 and 9 is 729.

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In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets is the process by which we remove brackets. It is the reverse process of factorization.

To expand and simplify a binomial, use the distributive property. The distributive property states that for any two binomials, the product of each term in the first binomial and each term in the second binomial should be added together to get the expanded form of the expression.

For example, the binomial (2x + 3)(4x + 7) can be expanded using the distributive property by multiplying each term of the first binomial with each term in the second binomial. This gives us:

(2x × 4x) + (2x × 7) + (3 × 4x) + (3 × 7)

And simplifying this expression yields 8x² + 14x + 21.

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Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

An LED light bulb is 40% efficient, compared to an incandescent, which is 5% efficient which means that an LED light bulb will convert 40% of the energy used into visible light, while an incandescent light bulb will only convert 5% of the energy used into visible light.

The other 95% of the energy used by an incandescent bulb is lost as heat, making it less efficient. LEDs are much more energy efficient than incandescent bulbs. LEDs are able to produce the same amount of light as an incandescent bulb with only a fraction of the energy. This is because LEDs emit light in a narrow spectrum which reduces energy loss due to the amount of light that is not visible to the human eye. In addition, LEDs do not contain filaments that require power to heat up, meaning that much less energy is wasted as heat.

LEDs also have a longer lifespan than incandescent bulbs. This is due to the fact that LEDs have no filament to burn out, meaning they can last up to 50,000 hours or more. On the other hand, an incandescent bulb typically has a lifespan of around 1,000 hours. This means that an LED light bulb can potentially last up to 50 times longer than an incandescent bulb.

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Considering the area and the perimeter of a rectangle, the quadratic equation that gives the area (A) of the pen, given its width (w), is:

A = -w² + 50w.

Considering a rectangle of length l and width w, we have that the area and the perimeter have equations presented as follows:

In the context of this problem, the farmer has 100 m of fencing to enclose a rectangular pen, meaning that the perimeter is of 100 m, hence:

2(l + w) = 100

l + w = 50

l = 50 - w.

Hence the area of the pen is given by the following quadratic equation:

A = lw

A = (50 - w)w

A = -w² + 50w.

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Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = \(\frac{theta}{360}*(2\pi r)\)

                      \(=\frac{62}{360}*2*3.14*12\)

                      = 12.98 cm

The equation of the parabola is x² - 8x + 16 = 0

To find the equation of the parabola with focus (4, -3) and directrix y = -3, we can use the definition of a parabola.

A parabola is the set of all points that are equidistant to the focus and the directrix.

The distance from a point (x, y) to the directrix y = -3 is simply the vertical distance between the point and the line, which is |y - (-3)| = |y + 3|.

The distance from a point (x, y) to the focus (4, -3) can be found using the distance formula:

d = √[(x - 4)² + (y + 3)²]

Since the point is equidistant to the focus and the directrix, we have:

d = |y + 3|

Squaring both sides, we get:

(x - 4)² + (y + 3)² = (y + 3)²

Simplifying, we get:

(x - 4)² = 0

Thus, the equation of the parabola is simply:

x² - 4x - 4x + 16 = 0

x² - 8x + 16 = 0

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Answer:

87272

Step-by-step explanation:

By converting write answer

Answer: To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

Step-by-step explanation:

Answer:

He bought 10 laptops for x dollars each and then sold all of them for a total profit of 35%. ... A shirt cost $14.44 after a discount of 15% off the original price. ... Erin earns a 12% commission on the furniture she sells. ... Which expression could Erin use to calculate the amount of money she earned? Select one: A. 4,500(0.12).

Step-by-step explanation:

Answer:

This means that the equation has infinitely many solutions.

Step-by-step explanation:

Say I have a problem like 1+x=1+x.

Subtracting 1 from both sides gives me x=x.

Any number can be x b/c any number equals itself.

You can prove this by checking: 4=4; 1=1; 1000=1000; -356=-356; \(\sqrt{3} =\sqrt{3}\)

Any number will equal itself, so the equation has infinitely many solutions.

Answer:

a)0.11

b) 3.75

Step-by-step explanation:

a) take 4 away from 15

B) do 15 divided by 4

hope this helps bye if right mark brainlest PLEASE

The relation R on the set of natural numbers (N) is defined as (a, b) ∈ R if and only if a/b is a natural number. This relation exhibits the properties of reflexivity, symmetry, and transitivity.

Reflexivity: For any natural number a, a/a = 1, which is a natural number. Therefore, (a, a) ∈ R for all a ∈ N. Hence, R is reflexive.Symmetry: If (a, b) ∈ R, then a/b is a natural number. This implies b/a is also a natural number since the division is commutative. Thus, (b, a) ∈ R. Therefore, R is symmetric.

Transitivity: Let (a, b), (b, c) ∈ R, which means a/b and b/c are natural numbers. As the division operation is closed under natural numbers, a/c = (a/b) * (b/c) is also a natural number. Therefore, (a, c) ∈ R, and R is transitive. In summary, the relation R on the set of natural numbers is reflexive, symmetric, and transitive, making it an equivalence relation.

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A Type II error occurs when we fail to reject a null hypothesis that is actually false. In this case, the null hypothesis is that the proportion of students who were quarantined at some point during the Fall Semester of 2020 is equal to or less than 0.65.

The alternative hypothesis is that the proportion is greater than 0.65. If we make a Type II error, we fail to reject the null hypothesis when it is actually false, meaning we do not conclude that the proportion is higher than 0.65 even though it actually is higher.

Therefore, the correct explanation for a Type II error, in this case, we would be: "Did not conclude the percent was higher than 65%, but it was higher."

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Answer:

Sample space: 6 Total options: 9

Step-by-step explanation:

The sample space is the amount of variables, this being 6 in total. The options are the total amount of configurations possible with the sample space, this being nine.

I haven't done this in a while so my answer may not be the most reliable, I would use another source if you are still unsure. Good luck!

Answer:

C

Step-by-step explanation:

divide by -12 on both sides, switch symbol when diving by negative, you get option c

Answer:

c. d (is less than or equal to) 1/2

Step-by-step explanation:

i hope this helps, have an amazing day :)

The housing supply function is given by h(I,R) = a log1 + bR + cR log1. The housing supply responds to changes in I with a rate of a, and to changes in R with a rate of b + c log1.

Based on the given equation, the housing supply (h) is determined by two variables: I and R. The equation shows that h is a function of R, with a log-linear relationship. The variable I only appears as a constant (a) in the equation, so changes in I do not directly affect the supply of houses.
On the other hand, changes in R (or OR, which is the same variable) do affect the supply of houses. Specifically, an increase in R leads to an increase in the supply of houses. The magnitude of this increase depends on the values of b and c in the equation.
To see this, we can take the partial derivative of h with respect to R:
dh/dR = b + cR/(ln(10))
This equation tells us how much the housing supply changes in response to a change in R. The derivative is positive (i.e. the supply increases) as long as c is positive. The larger c is, the greater the increase in supply for a given increase in R.
Therefore, the correct answer is:
b + cR/(ln(10))

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25/8 or 3 1/8 I think.

Step-by-step explanation:

Multiply 5/8 by 5 and you get 25/8. Simplify it then you are done.

Answer:

H 3 and 1/8

Step-by-step explanation:

i did the math

Answer:

Yes, it is a function

Step-by-step explanation:

A function has only one output for each input. So a function can have the same output for different input, but one input can only have one output. In this case none of the inputs output more than one output, so it is a function.

The integral test implies that the series S = ∑ n = 1 [infinity] ln n n^2 p converges if and only if the integral ∫₁^[∞] ln(x)/x^2 dx converges.

The integral test can be used to evaluate whether the series is convergent. Suppose f(x) = ln(x)/x2. When x exceeds 1, f(x) is continuous, positive, and declining.

∫₁^[∞] f(x) dx = ∫₁^[∞] ln(x)/x^2 dx

Integrating by parts with u = ln(x) and dv = dx/x2 yields the following result:

1[-ln(x)/x] = dx = ln(x)/x.

₁^[∞] + ∫₁^[∞] 1/x^2 dx

= 0 + [1/x]₁^[∞] = 1

The series S = n = 1 [infinity] ln n n2 p is said to converge if and only if the integral  ∫₁^[∞] ln(x)/x^2 dx is found to converge by the integral test. This total converges, so we deduce that the series S converges as well.

Therefore, the integral test implies that the series S = ∑ n = 1 [infinity] ln n n^2 p converges if and only if the integral ∫₁^[∞] ln(x)/x^2 dx converges.

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y = 2/5x +24/5, is the equation  which represents a line that passes through (-2, 4) and has a slope of 2/5.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point (-2,4) into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

Hence, y = 2/5x +24/5, is the equation  which represents a line that passes through (-2, 4) and has a slope of 2/5.

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Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

subtract 2x from both side

change the sign of both side of equation

rewrite

Solve for x

substitute the value of y in the equation

distribute 3

combine like terms

Add 33 on both side

divide both side by 7