valor de x
es muy urgente ​

On solving the provided question, we can say that equation, k(x) = 4(x + 2) represents the function where you add 2 to the input, then multiply the result by 4.

A mathematical equation is a formula that links two assertions and signifies equivalence with the equals sign (=). In algebra, a mathematical statement that proves the equality of two mathematical expressions is referred to as an equation. The equal sign, for instance, separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14. There is a mathematical formula that explains the link between the two phrases that appear on either side of a letter. Frequently, the symbol and the single variable are the same. like in 2x - 4 = 2, for example.

a. f(x) = 2x+4 represents the function where you multiply the input by 2, then add 4 to the result.

b. g(x) = 2(x+4) represents the function where you add 4 to the input, then multiply the result by 2.

c. h(x) = 4x+2 represents the function where you multiply the input by 4, then add 2 to the result.

d. k(x) = 4(x + 2) represents the function where you add 2 to the input, then multiply the result by 4.

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To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Answer:

128 pages

Step-by-step explanation:

\(0.32*400\)

\(=128\)

In total, Marty had read 128 pages of his book.

Answer: V≈42.88in³

Step-by-step explanation: i might be wrong but let me know

The probability that a five-card poker hand does not contain the queen of hearts is 47/52.

We have been given that,

Total card to choose = 5

Total cards in a deck = 52

We need to find the probability that a five-card poker hand does not contain the queen of hearts.

The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)

The number of queens of hearts in a deck = 1

The number of cards excluding queens of hearts = 52 - 1

                                                                                  = 51

The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)

Now we find the required probability.

\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)

Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.

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z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

If the observed t-value exceeds the critical t-value, then the difference between the sample means is most likely statistically significant.

In other words, the difference between the sample means is unlikely to have occurred by chance and is likely due to a real difference in the population means. The direction and magnitude of the difference must be further examined using effect size measures and confidence intervals.

Therefore, the most suitable value to be fit in the blank space of the given incomplete statement is, statistically significant.

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Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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To create a parallelogram, just think of 2 different pairs of parallel lines that never intersect.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. To create a parallelogram, we need to visualize two different pairs of lines that never intersect. The pairs of lines must be parallel to each other, meaning they have the same slope and will never converge or cross each other. By ensuring that these pairs of lines remain parallel, we can form a quadrilateral with opposite sides that are parallel and equal in length, defining a parallelogram.

Understanding the concept of parallel lines is fundamental for constructing a parallelogram. This knowledge enables us to identify and visualize the appropriate lines that can form a parallelogram. By ensuring the parallelism of these lines, we guarantee the creation of a quadrilateral with specific geometric properties.

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Therefore, Caleb paid approximately $14,067.90 for the shares.

Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.

Selling price = 130% of the amount paid

$18,189.27 = 1.3 * x

To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:

x = $18,189.27 / 1.3

Calculating this, we find:

x ≈ $14,067.90

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Answer:

SSS

Step-by-step explanation:

if two of the sets of angles show they are congruent then the third set of angles must be congruent too. There are no sides showing they are congruent either.

Answer:

D.

Step-by-step explanation:

First Quartile = 52

Second Quartile = 58

Third Quartile = 62

The dimensions of the closed rectangular box with a square base and volume of 8000 cubic centimeters that can be constructed with the least amount of material are 20 cm.

Let the length and width of the rectangular box with a square base be x.

and the height is y.

The volume, V = 8000 = \(x^{2} y\)       --------(1)

The surface area, S = 2\(x^{2}\) + 4xy .   -------(2)

S =  2\(x^{2}\) + 4xy and  8000/ \(x^{2}\) =y     -------( from 1 and 2)

so, S= 2\(x^{2}\) + 4x(8000/ \(x^{2}\))

S= 2\(x^{2}\) + 32000/x

to find the least amount of material to be used, we will differentiate the surface area w.r.t x.

ds/dx= 0 = 4x - 32000/\(x^{2}\)

therefore, we have, 4x = 32000/\(x^{2}\)

                                 4\(x^{3}\) =32000

                                   \(x^{3}\) =8000

                                     x=20

Hence, The dimensions of the closed rectangular box with a square base and volume of 8000 cubic centimeters that can be constructed with the least amount of material are 20 cm.

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A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable.

In experimental research, an independent variable is a variable that the researcher manipulates or systematically varies in order to study its effect on the dependent variable. It is called "independent" because it is not influenced by any other variables in the experiment, and its effects on the dependent variable can be observed and measured independently of any other factors.

Only when a possible design confound fluctuates systematically with the independent variable does internal validity come under threat. In other words, it might be challenging to distinguish between the effects seen on the dependent variable and the independent variable if there is a component that fluctuates consistently or predictably with changes in the independent variable. Internal validity is less likely to be threatened by random or unplanned variation.

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A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable. This means that if the confound varies randomly or haphazardly, it is less likely to affect the results of the study.

This means that the confound is consistently related to the independent variable, making it difficult to determine if the observed effects are due to the independent variable or the confound. If the confound varies spontaneously or haphazardly, it is less likely to pose a threat to internal validity, as it would not be consistently associated with the independent variable.

However, if the confound is related to the independent variable in a consistent and predictable way, it can introduce bias and undermine the internal validity of the study. It is important for researchers to carefully control for potential confounds and ensure that any observed effects are truly due to the independent variable and not some other factor.

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(a) The definite solution to the system of differential equations is y₁(t) = 7e^(-t) + 2e^(-4t) - 1 and y₂(t) = -3e^(-t) + 2e^(-4t) - 1.

(b) The general solution to the system of differential equations is y₁(t) = c₁e^(2t) + c₂e^(-t) + 2 and y₂(t) = c₁e^(2t) - c₂e^(-t) + 1, where c₁ and c₂ are arbitrary constants.

(c) For the linear differential equation system, the solution is y₁(t) = 8e^(-2t) and y₂(t) = 3e^(-2t) - 5e^(-t). The phase diagram would show a stable node at the steady state (0, 0). The equation of the saddle path is y₁(t) = -2y₂(t). To ensure that the system converges to the steady state, y₂(0) must be chosen as y₂(0) = 3.

(a) To find the definite solution to the system of differential equations, we will solve the equations individually and apply the initial conditions.

First, let's focus on the first equation, Y₁ = -Y₁ - (9/4)y₂ + 2. Rearranging it, we get Y₁ + Y₁ = - (9/4)y₂ + 2, which simplifies to 2Y₁ = - (9/4)y₂ + 2. Dividing both sides by 2, we obtain Y₁ = - (9/8)y₂ + 1.

Now, let's move on to the second equation, y₂ = -3y₁ + 2y₂ - 1. We can rewrite it as -2y₂ + 3y₁ = -1. Applying the initial conditions, we have y₁(0) = 20 and y₂(0) = 2. Plugging these values into the equation, we get -2(2) + 3(20) = -4 + 60 = 56.

To find the definite solution, we need to integrate the equations. Integrating Y₁ = - (9/8)y₂ + 1 with respect to t, we get y₁ = - (9/8)y₂t + t + C₁, where C₁ is the constant of integration. Integrating y₂ = -3y₁ + 2y₂ - 1 with respect to t, we get y₂ = -3y₁t + y₂t - t + C₂, where C₂ is the constant of integration.

Now, we can substitute the initial conditions into the equations. Plugging in y₁(0) = 20 and y₂(0) = 2, we get 20 = C₁ and 2 = -2(20) + 2(2) - 1 + C₂. Solving this equation, we find C₂ = 19.

Substituting the values of C₁ and C₂ back into the equations, we obtain y₁ = - (9/8)y₂t + t + 20 and y₂ = -3y₁t + y₂t - t + 19.

(b) To find the general solution to the system of differential equations, we will follow a similar process as in part (a), but without the specific initial conditions.

We have the equations Y₁ = y₁ = 2y₁ - 2y₂ + 5 and Y₂ = 2y₁ + 2y₂ + 1. Rearranging the equations, we get y₁ - 2y₁ + 2y₂ = 5 and 2y₁ + 2y₂ = -1.

To find the general solution, we will integrate these equations. Integrating the first equation, we get y₁ = c₁e^(2t) + c₂e^(-t) + 2, where c₁ and c₂ are arbitrary constants. Integrating the second equation, we get y₂ = c₁e^(2t) - c₂e^(-t) + 1.

Therefore, the general solution to the system of differential equations is y₁ = c₁e^(2t) + c₂e^(-t) + 2 and y₂ = c₁e^(2t) - c₂e^(-t) + 1, where c₁ and c₂ are constants.

(c) For the linear differential equation system, we have the equations y₁' = -2y₁ and y₂' = 3y₁ - 5y₂. To solve the system, we can write it in matrix form as Y' = AY, where Y = [y₁, y₂]' and A is the coefficient matrix [-2, 0; 3, -5].

To find the solution, we can diagonalize the matrix A. Calculating the eigenvalues, we have λ₁ = -2 and λ₂ = -5. Corresponding to these eigenvalues, we find the eigenvectors v₁ = [0, 1]' and v₂ = [3, 1]'. Therefore, the general solution is given by Y(t) = c₁e^(-2t)v₁ + c₂e^(-5t)v₂.

To draw the phase diagram, we plot the values of y₁ on the x-axis and y₂ on the y-axis. The phase diagram would show a stable node at the steady state (0, 0), where the trajectories converge.

The equation of the saddle path can be found by solving the equation for the eigenvector corresponding to the eigenvalue -2. We have v₁ = [0, 1]', so the equation becomes 0y₁ + y₂ = 0, which simplifies to y₂ = 0. Therefore, the saddle path is the y-axis.

To ensure that the system converges to the steady state, we need to choose the appropriate value for y₂(0). Since the saddle path is the y-axis, we want to avoid starting on the y-axis. Therefore, we should choose a non-zero value for y₂(0) to ensure convergence to the steady state.

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The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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Answer:

4(2x+3)

Step-by-step explanation:

Because 4 is the GCF

Answer:

73008 views

Step-by-step explanation:

find 27% of 35100:

35100*27/100

=9477

so, you start with 35100 which means;

35100 + (9477*4)

35100 + 37908

= 73008 views

Answer: 91,311

Step-by-step explanation:

This is what it shows as correct on ixl.

Answer:

Yup, B is the correct answer

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

B

Step-by-step explanation:

I Just Took the Test.

By using the volume of sphere, it can be calculated that

Volume of the sphere after the hole is drilled = \(352\sqrt{33} \pi\)

What is volume of sphere?

Volume of sphere is the total space taken by the sphere.

If r is the radius of the sphere, then volume of the sphere is

\(v = \frac{4}{3} \pi r^3\)

Radius of the ball = 14

Radius of the ball after the hole is drilled = 8

By Pythagoras Theorem,

Height of the ball after the hole is drilled =\(\sqrt{14^2 - 8^2}\) = \(\sqrt{132}\)

Volume of the ball after the hole is drilled = \(\frac{4}{3} \pi (\sqrt{132})^3\)

                                                                           = \(\frac{4\pi \times 132 \times 2\sqrt{33}}{3}\\352\sqrt{33} \pi\)

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The mean number of heads is 8.

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. The probability of observing x successes in N trials is calculated using the binomial distribution, with p standing for the probability of success on a single trial. According to the binomial distribution, p is fixed throughout all trials.

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. In mathematics and statistics, the binomial distribution is the likelihood that a specific outcome in a series will occur when there are only two possible outcomes: success or failure. Bi is the prefix for two.

Use the formula for the mean for the Binomial Distribution: μ = np

• n = 16

• p = ½

Therefore μ = 16 × ½ = 8

The mean number of heads is 8.

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The probability that exactly 6 workers take the bus to work, out of a random sample of 10 workers, is approximately 0.128.

To calculate the probability, we will use the formula for the probability of k successes in n trials, also known as the binomial probability formula:

P(k successes) = \(C(n, k) * p^k * (1 - p)^{n - k}\)

Where:

n is the number of trials (sample size)

k is the number of successes

p is the probability of success in one trial

In this case, n = 10 (number of workers surveyed), k = 6 (number of workers taking the bus), and p = 0.15 (probability of a worker taking the bus).

First, let's calculate the binomial coefficient C(n, k):

C(n, k) = n! / (k!(n - k)!)

C(10, 6) = 10! / (6!(10 - 6)!)

= 10! / (6! * 4!)

= (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)

= 210

Now, let's substitute the values into the formula:

\(P(6 successes) = 210 * (0.15^6) * (1 - 0.15)^{10 - 6}\)

= 210 * (0.15^6) * (0.85^4)

≈ 0.128

Therefore, the probability that exactly 6 workers take the bus to work, out of a random sample of 10 workers, is approximately 0.128.

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The remaining amount at 9% p.a Sam has to pay R359.7 per month.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

From the given information, The amount she has to pay over 12 months is,

= (4400 - 440).

= 3960 at 9% p.a.

Therefore, SI = (3960×9×1)/100.

SI = 356.4.

So, The total amount to be paid is, = (3960 + 356.4) = 4316.4.

And hence each month he has to pay, (4316.4/12) = 359.7.

Q. Sam wants to buy a microwave on a hire purchase agreement. The cash price of the microwave is R 4 400. She is required to pay a deposit of R440 and pay the remaining loan amount off over 12 months at an interest rate of 9% p.a., Calculate the amount of monthly repayment.

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Answer:

Add 8 to both sides

Step-by-step explanation:

Normally after adding 8 to both sides you'd solve for x by then dividing by -5, but they just want u to explain what to do lol.

Answer: 7 times 4

Step-by-step explanation:

Answer:

431

Step-by-step explanation: