State whether the sequence an=(−1)^n/n+11 converges and, if it does, find the limit.
a) converges to −1
b) converges to 1
c) diverges
d) converges to 1/12
e) converges to 0

Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

Read more on function here: brainly.com/question/3632175

#SPJ1

Answer: $28.89

Step-by-step explanation: 2% of 1,444.50 is $28.89

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

Visit here to learn more about correlation coefficient  : https://brainly.com/question/27226153
#SPJ11

Given the parameter values n, δ, A₀, and k₀, the endogenous technological progress A(t) can be calculated using a recursive formula. The value of physical capital k(t) can also be determined using a separate recursive formula. The specific values depend on additional parameters not provided.

To compute the value of the endogenous technological progress A(t) at time t, we can use the following recursive formula:

A(t+1) = (1 - δ) * A(t) + n * k(t)^θ

where:

- A(t) represents the value of technological progress at time t.

- δ is the depreciation rate, which is 0.1 in this case.

- n is the exogenous growth rate of technological progress, which is 0.01 in this case.

- k(t) is the value of physical capital at time t.

- θ is the elasticity of output with respect to capital, which is not provided in the given information.

To compute k(t), we can use the following formula:

k(t+1) = (1 - δ) * k(t) + i(t)

where:

- k(t) represents the value of physical capital at time t.

- δ is the depreciation rate, which is 0.1 in this case.

- i(t) is the investment at time t.

Since the investment i(t) is not given in the provided information, we cannot determine the exact values of A(t) and k(t) for each time period. However, we can use the given initial values to compute their values for the initial time period (t = 0).

Using the provided initial values:

A(0) = 5

k(0) = 10

We can substitute these values into the recursive formulas to compute A(1) and k(1):

A(1) = (1 - 0.1) * 5 + 0.01 * 10^θ

k(1) = (1 - 0.1) * 10 + i(0)

The values of A(1) and k(1) can then be used to compute A(2) and k(2), and so on, by iteratively applying the recursive formulas. The specific values of A(t) and k(t) for each time period would depend on the values of θ and the investment i(t), which are not provided.

For more such questions on parameter, click on:

https://brainly.com/question/29344078

#SPJ8

Answer:

t = 75

Step-by-step explanation:

Step 1: Write equation

-15 + t = 60

Step 2: Solve for t

Add 15 to both sides: t = 75

Step 3: Check

Plug in t to verify it's a solution.

-15 + 75 = 60

60 = 60

Answer:

t= 75

Step-by-step explanation:

15-75=60

i hope this helps

Answer:

−4

Step-by-step explanation

Answer:

−4

Step-by-step explanation:

-6 x (1/3 + 1/3)

Since 1/3 and 1/3 have the same denominator, add them by adding their numerators.

-6 x (1+1/3)

Add 1 and 1 to get 2.

-6 x (2/3)

Express -6 x (2/3) as a single fraction.

-6 x 2/3

Multiply −6 and 2 to get −12.

-12/3

Divide −12 by 3 to get −4.

−4

7 workstations will be needed to complete the 24 separate tasks.To determine the number of workstations needed, we can divide the total task time by the cycle time.

In this case, the total task time is 14 minutes and the cycle time is 2 minutes.
Number of workstations needed = Total task time / Cycle time
Substituting the given values:

Number of workstations needed = 14 minutes / 2 minutes
This simplifies to:
Number of workstations needed = 7

To know more about workstations visit:

https://brainly.com/question/13085870

#SPJ11

The measure of the given arc HJK is 186°.

Given measurement of the angle G = (4y - 11)°

The measurement of the angle J = (3y + 9)°

The measurement of the angle K = (x + 21)°

The measurement of the angle H = 2x°

From the below attached pic rule, in the given diagram angle J + angle G = 180°

So, J + G = 180°

= (4y - 11)° +  (3y + 9)° = 180°

= 7y -2 = 180°

= 7y = 182°

y = 182°/7 = 26°

By substituting y value which is "26°" in the angle G and J we can obtain their measurements as angle G = 93° and angle J = 87°.

Similarly, to find the value of x,

H + K = 180°

2x + (x + 21)° = 180°

3x + 21° = 180°

3x = 159°

x = 159°/3 = 53°.

By substituting x value which is "53°" in the angle H and K we can obtain their measurements as angle H = 106° and angle K = 74°

To find the measurement of arc, from the second attached image we can know that the angle of G is opposite to arc HJK. So, the relation is as follows,

measurement of arc HJK = 2 * angle of G

HJK = 2 * 93°

HJK = 186°.

From the above solution, we can conclude that the measurement of arc HJK is 186°

To know more about the arcs,

https://brainly.com/question/28108430

#SPJ1

The solution set of the given inequality is (164/18, ∞).

To solve the inequality symbolically, we first need to isolate the variable x on one side of the inequality. We can do this by multiplying both sides by 8 and then subtracting 4 from both sides. Finally, we can divide both sides by 6 to solve for x. Here are the steps:

(6x + 4)/8 > 22/3

6x + 4 > (22/3)(8)

6x + 4 > 176/3

6x > (176/3) - 4

6x > 164/3

x > (164/3)(1/6)

x > 164/18

Now we can express the solution set x > 164/18 in interval notation: (164/18, ∞)

So the solution set is all values of x greater than 164/18.

Learn more about inequality here: https://brainly.com/question/24372553.

#SPJ11

The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

To learn more about driving :

https://brainly.com/question/2619161

#SPJ11

Answer:

The exterior angle is ∠BDC

Congreunt side is XZ

Step-by-step explanation:

The exterior angle just means the angle facing outside.

And for the congruent one you are right. Because they are put in the same order.

Answer:

The first one is -2x^2 - 21x + 4, the second one is -15 (I think, not 100% sure), the third one is 4xyz + 3yz + 5x - 4 (also not 100% on this one)

The general solution of the given differential equation is

y = Acos(√(px"w²)x) + Bsin(√(px"w²)x)

To obtain the general solution of the given differential equation, let's go through the solution step by step.

The given differential equation is:

d²y/dx² + p*w²*y = 0

Let's substitute the given assumptions:

T = T₁x"

p = px"

T₁ = 1²p₂w²

Now, rewrite the equation with the substituted values:

d²y/dx² + px"w²*y = 0

Next, let's solve this differential equation. Assume that the solution is of the form y = e^(rx), where r is a constant to be determined.

Taking the first derivative of y with respect to x:

dy/dx = re^(rx)

Taking the second derivative of y with respect to x:

d²y/dx² = r²e^(rx)

Now, substitute these derivatives back into the differential equation:

r²e^(rx) + px"w²*e^(rx) = 0

Divide through by e^(rx) to simplify:

r² + px"w² = 0

Now, solve for r:

r² = -px"w²

r = ±i√(px"w²)

Since r is a constant, we can rewrite it as r = ±iω, where ω = √(px"w²).

The general solution can be expressed as a linear combination of the real and imaginary parts of the exponential function:

y = C₁e^(iωx) + C₂e^(-iωx)

Using Euler's formula, which states e^(ix) = cos(x) + isin(x), we can rewrite the general solution as:

y = C₁(cos(ωx) + isin(ωx)) + C₂(cos(ωx) - isin(ωx))

Simplifying further:

y = (C₁ + C₂)cos(ωx) + i(C₁ - C₂)sin(ωx)

Finally, we can combine C₁ + C₂ = A and i(C₁ - C₂) = B, where A and B are arbitrary constants, to obtain the general solution:

y = Acos(ωx) + Bsin(ωx)

Therefore, the general solution of the given differential equation, under the given assumptions, is:  y = Acos(√(px"w²)x) + Bsin(√(px"w²)x)

To know more about differential equation,

https://brainly.com/question/32514740#

#SPJ11

The percent of the new group that are female is 64%

From the question, we have the following parameters that can be used in our computation:

First section

13 male and 20 female students

Second section

11 male and 23 female students

When joined together, we have

male = 13 + 11 = 24

female = 20 + 23 = 43

So, we have

female = 43/(24 + 43) * 100%

Evaluate

female = 64%

Hence, the percent of the new group that are female is 64%

Read more about percentage at

https://brainly.com/question/843074

#SPJ4

The solid formed by rotating the specified area around the line x = ln 8 has a volume of 2(7 + ln 8). This is obtained by calculating the area of the region and multiplying it by the distance between the line x = ln 8 and the axis of revolution.

The volume of a solid generated by revolving a two-dimensional region about an axis is equal to the area of the region multiplied by the distance between the axis of revolution and the region. The region given to us is bounded by the coordinate axes, the curve y =\(e^x\), and the line x = ln 8. We can calculate the area of this region by using the method of integration. We need to take the integral of the function y = \(e^x\) from the lower bound x = ln 8 to the upper bound x = 1. This will give us the area of the region. Then, we multiply this area by the distance between the line x = ln 8 and the axis of revolution. This distance is equal to 7 + ln 8, and thus the volume of the solid generated is equal to 2π(7 + ln 8).

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

Answer:

the lemon cookies they use more

Step-by-step explanation:

Answer:

Step-by-step explanation:

The parameters describing the graph of a sinusoidal function can be determined fairly easily from the coefficients of the function and its arguments.

__

The amplitude of a sinusoidal function is the coefficient of the sine or cosine function. Here, the amplitude is 1270.

__

The frequency is the coefficient of the variable in the argument of the trig function, divided by 2π. Here, that is (1.1)/(2π) ≈ 0.175 cycles per year. The units of frequency are the inverse of the time units of the argument variable.

__

The period is the reciprocal of the frequency:

  period = 2π/1.1 ≈ 5.712 . . . years

Options A and D are correct. The pair of measurements that could be the dimensions of rectangle B is 6 cm by 1.5 cm and 18 cm by 4.5 cm.

For us to get a scale copy of the dimension, we need to first find the scale factor as shown;

Given the measure of rectangle A:

To get all of the measurement pairs that could be the dimensions of Rectangle  B, we need to multiply the length and width by the same factor

Multiplying by 1/2

New length = 12 × 0.5 = 6cm

New width = 3 × 0.5 = 1.5cm

Hence 6cm by 1.5cm can be dimension of B

Multiplying by 1.5

New length = 12 × 1.5 = 18cm

New width = 3 × 1.5 = 4.5cm

Hence 18cm by 4.5cm can be dimension of B

Learn more here: https://brainly.com/question/24759485

Answer:

a > - 6

Step-by-step explanation:

3a + 8 + 5a > 4a - 16 , that is

8a + 8 > 4a - 16 ( subtract 4a from both sides )

4a + 8 > - 16 ( subtract 8 from both sides )

4a > - 24 ( divide both sides by 4 )

a > - 6

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ1

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

d = 14

Step-by-step explanation:

\( \sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14\)

Answer:14

Step-by-step explanation:opposite angle

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

Learn more about Fourier transform

brainly.com/question/29063535

#SPJ11

Answer: She can sell lemonade, she can dog sit with her mom/sister/dad or brother or whoever, She can make things and sell them, She can have a garage sell with her family. (Just some few ways) :3