Un ascensor está en el segundo subsuelo, sube
seis pisos, luego baja cinco, vuelve a subir ocho
y finalmente baja trece. En qué piso se quedó

If a power series matches a function f(x) exactly everywhere, then the radius of convergence is infinite.

This means that the power series converges for all values of x. In other words, the power series can be used to approximate the function f(x) with arbitrary accuracy for any value of x.

This is a very powerful tool in mathematics and has many practical applications in science, engineering, and other fields.

The proof that a power series with infinite radius of convergence matches a function f(x) exactly everywhere is based on the fact that a power series is a sum of infinitely many terms, each of which is a polynomial in x.

By adding up these polynomials, we can approximate any function f(x) to an arbitrary degree of accuracy. The only limitation is that we need to know the coefficients of the power series,

which can be obtained by differentiating or integrating the function f(x) or by using other mathematical techniques. Once we have the coefficients, we can plug them into the power series formula and get an exact match for the function f(x).

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The value of the F ratio for testing the significance of this model is not 15.56.

For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.

To determine which statement is true, we need to compare the values of SST and SSE.


Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.

Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.

Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.

Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:

F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))

F = ((900 - 460) / 5) / (460 / (35 - 5))

F = 440 / 460

F ≈ 0.9565

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To simplify the equation and isolate x on one side, we can follow these steps:

Multiply both sides of the equation by (x^4) to eliminate the denominators:

-75000 - 0.05(x^2.5) + 0.0004(x^4) = 0

Rearrange the terms so that the equation is in descending powers of x:

0.0004(x^4) - 0.05(x^2.5) - 75000 = 0

Now, let's substitute a variable to make the equation more manageable. Let's use u = x^2.5.

This substitution will help us simplify the equation and solve for u.

Substitute u = x^2.5 in the equation:

0.0004(u^2) - 0.05u - 75000 = 0

Now, this is a quadratic equation in terms of u. We can solve it using factoring, completing the square, or the quadratic formula.

After solving the quadratic equation and finding the values of u, we can substitute back u = x^2.5 to obtain the values of x that satisfy the original equation.

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The area of the composite figure is equal to 58 square inches. (Correct choice: C)

In this problem we find the case of composite figure formed by an irregular pentagon and an triangle, the resulting can be found as a combination of triangles and rectangles, whose area formulas are:

Triangle

A = 0.5 · w · l

Rectangle

A = w · l

Where:

Now we proceed to determine the area of the composite figure:

A = 0.5 · (8 in) · (6 in) + (8 in) · (6 in) - 2 · 0.5 · (1 in) · (5 in) - 2 · 0.5 · (3 in) · (3 in)

A = 24 in² + 48 in² - 5 in² - 9 in²

A = 72 in² - 14 in²

A = 58 in²

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Step-by-step explanation:

This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.

hope this helps :)

Answer:

470 minutes.

Step-by-step explanation:

This is simple. Subtract 10 from 480 to show her break.

Answer:

10 packages

Step-by-step explanation:

300/30 is 10 that is the unit price.

Hope this help plz mark brainliest :D

Answer:

the answer is 10

Step-by-step explanation:

all you had to do is 300/30

A graph of the linear function y = x + 1 for the values in the domain is shown in the image attached below.

In Mathematics and Geometry, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.

Since the given linear function y = x + 1 is in slope-intercept form, we would start by plotting the y-intercept

y = x + 1

y = 0 + 1

y = 0

Lastly, we would use an online graphing calculator to plot the given linear function for the values in its domain {-8, -4, 0, 2, 6} as shown in the graph attached below.

In conclusion, the slope of this linear function is equal to 1 and it does not represent a proportional relationship.

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Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

Two linear equation has their solutions on the points where they intersect each other.

The solution of the given system of equations is:

x = 2, y = 3.

Each linear equation represents a straight line.

If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.

If both the given lines are parallel, then there is no intersection and thus no solution.

If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.

\(y = 3x-3\\ x+y = 5 \)

Substituting the value of y from first equation in the second equation, we get:

\(x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ \)

Thus, putting this value of x in first equation, we get:

\(y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3\)

Thus, the system has one solution and it is x = 2, y = 3.

Using graphing, we can see that point of intersection is (x,y) = (2,3)

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For the nth week, the total points earned in the DVD rentals is \(p_n + 2\)

Your question is not complete, it seems it is missing the following information below;

DVD rentals:         1    2    3    

Total DVD points:  3   5    7    

The number of points earned is a function of number of DVD rentals.

For the first DVD, the number of points earned;

\(n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned\)

3 = 1 + c

3- 1 = c

2 = c

For nth week the total point earned is given as;

\(n_t_h = p_n + c\\\\n_t_h = p_n + 2\)

Thus, for the nth week, the total points earned in the DVD rentals is \(p_n + 2\)

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Here we have a problem with arithmetic sequences.

After a small online search, I've found that:

Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental

And so on.

We will find that the total of points in the n-th week is given by:

Wₙ = 15 + (n - 1)*18

Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...

We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15

For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33

For the third week, the total number of points is: W₃ = (15 + 17 + 19)  = 51

Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.

W₂ - W₁ = 33 - 15 = 18

W₃ - W₂ = 51 - 33 = 18

So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.

Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18

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Answer: x = 9

We know that 26 and 17 are in a fact family.

Let's see the fact family.

26 - 17 = 9.

So, the answer is 9.

Hope this helps you!

Answer:

x = 9

Step-by-step explanation:

-x = 17 - 26                       Take the numbers to one side and leave the letters                                                       on the other side

-x = -9                                    Subtract the numbers

x = 9                       since the x and the 9 are negative they become positive

                              (two negatives equals a positive only when multiplying or

                               dividing and in this case you are dividing the -1x to both

                               sides)

1. matches to column 1

2. matches to column 5

3. matches to column 4

4. matches to column 2

5. matches to column 3

Hope it helps.

Answer:

cant see photo lol srry!!!???

Step-by-step explanation:

Answer:

Each winner received 1.35 dollars

Step-by-step explanation:

I divided 31 by 23 and got 1.34782608696. But we had to round to the hundredths so, I rounded up to 1.35 dollars.

Answer:

Step-by-step explanation:

So bascially decay means shrinks or shrivels. Growth means like growing, bigger, sort of like a happy plant :D.

To find if this is getting bigger or is shrinking, lets plug in something simple like 1 for the time(t). Sooo:

20,000*.88^1

Since its a 1 exponent it does nothing so:

20,000*.88

Now this is 17600 you can use calculator but if you do this in head like me all I did is multiply 88 by 2 which was simply since 8 times 2 is 16 so 160+16 is 176 then I added zeros:

y=17600

As we can see this is smaller than 20,000, so it is a decaying problem.

By what percent tho.

Well this is pretty easy to reconize once you understand where to find it.

When they talk about percentage, they mean how much it decreased by.

This is 100%-the multiplyied value.

In this case the multiplyed value is 0.88, sooo:

100%-88%=18%

So the percent amount that the value decreased by is 18%.

Hope this helps!

The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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Answer:

slope = \(\frac{6}{7}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = \(\frac{8-2}{8-1}\) = \(\frac{6}{7}\)

Answer:

34

Step-by-step explanation:

You would use the pythagereom thereom which states that a^2+b^2=c^2

so 16 x 16=256 and 30 x 30=900 and 900+256=1156

and that rooted equlas 34

Answer:

The length of the missing side is 34ft

Step-by-step explanation:

In order to find the length of the missing side on a right triangle, we need to apply a formula called the "Pythagorean theorem".

This formula can be represented as such: \(c=\sqrt{a^{2}+b^{2} }\) (might look awfully familiar)

Given we already know the length of the other two sides which are 16 and 30, we can simply plug each of them in the "a" and "b" variable spots as such:

\(c=\sqrt{16^{2} + 30^{2} }\)

Then we just evaluate the equation! Remember PEMDAS! (order of operations

\(16^{2} =256\) & \(30^{2} = 900\)

Now add the two squares together to get 1,156

\(c = \sqrt{256+900}\)

Finally, we then get the square root of 1156 and we end up with our answer of 34ft

\(\sqrt{1156} = 34\)

If you have any questions feel free to ask!

The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

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Answer:

-3x+11

Step-by-step explanation:

Answer:

11-3x

Step-by-step explanation:

Distribute the "-"

7-3x+4=

Group the numbers

11-3x

The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

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A. You should calculate the cost per unit to determine if the price of 1500 for 15 units is a good deal.

B. To determine whether the offer is a good deal, you need to calculate the cost per unit.

Divide the total price of 1500 by the number of units offered, which is 15.

Cost per unit = Total price / Number of units

Cost per unit = 1500 / 15

Cost per unit = 100

The cost per unit is 100.

Now, consider the value you assign to each unit of space. If you believe that each unit is worth more than 100, then the offer is a good deal and you should accept it.

However, if you believe that each unit is worth less than 100, then the offer is not favorable and you should decline it.

Ultimately, the decision depends on your evaluation of the worth of each unit of space and whether you believe the cost per unit is reasonable based on your needs and budget.

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Answer:

the difference between -4 and 1 is 3. distance is always positive.

8 less than 2, is -6. (I'm pretty sure)

13 more than -1 should be 12.

to get 2 add 8. -6+8 is 2.

to get -3 subtract 10 from 7.

Toronto is 12°C cooler than Tokyo.

Step-by-step explanation:

hope this helps

Answer:

B. 63

C. 41

Step-by-step explanation:

B step-by-step explanation:

first, multiply and evaluate.

27 + 36

then, just calculate.

27 + 36 = 63

C step-by-step explanation:

first, evaluate and divide.

9 x 5 - 2^2

then, multiply and evaluate.

45 - 4

finally, calculate that.

45 - 4 = 41

8.5Step-by-step explanation:

To determine the exposure from a radioactive substance at a different distance, we can use the inverse square law. The exposure at a distance of 20 cm is 11,250 mR.

The inverse square law states that the intensity of radiation is inversely proportional to the square of the distance from the source. In this case, we have the initial distance of 100 cm and the corresponding exposure of 450 mR.

Using the inverse square law equation, we can set up a proportion to find the new exposure at a distance of 20 cm. The equation can be written as:

(Exposure at initial distance) / (Exposure at new distance) = (Square of new distance) / (Square of initial distance)

Substituting the given values, we have:

450 mR / X = \((20 cm)^2 / (100 cm)^2\)

Simplifying the equation, we get:

450 mR / X = 1/25

Cross-multiplying, we have:

X = (450 mR) * (25)

Calculating the value, we find:

X = 11,250 mR

Therefore, the exposure at a distance of 20 cm is 11,250 mR.

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Answer:

Juan still has $13.00 left after spending $7.00 as a percentage that is 35% and as a fraction that is 35/100 or 0.35.

Step-by-step explanation:

I hope I helped in any way.

The angle φ2, which represents the angle the beam in the prism makes with the horizontal axis, depends on the specific geometry, angle of incidence, and refractive index of the prism. The calculation of φ2 requires considering the laws of refraction and applying Snell's law to determine the angle of refraction.

To determine the angle φ2, one must consider the laws of refraction and the geometry of the prism. When light passes through a prism, it undergoes refraction, bending the path of the light beam. The angle of incidence, the angle at which the beam enters the prism, and the refractive index of the prism material influence the angle of refraction. By applying Snell's law, which relates the angles and refractive indices, it is possible to calculate the angle φ2 at which the beam emerges from the prism and its relationship with the horizontal axis.

The specific calculation and determination of φ2 require knowledge of the prism's geometry, the angle of incidence, and the refractive index. With these details, one can apply the principles of optics to find the exact value of φ2.

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