y²+4y-7 evaluate the expression when y=7​

The radius of convergence is r = 1 in the given case.

We can start by using the power series expansion of ln(1+x):

[tex]ln(1+x) = x - x^2/2 + x^3/3 - x^4/4 + ...[/tex]

Now we can substitute this into the integral and use the linearity of integration to obtain:

[tex]∫ x^4 ln(1+x) dx = ∫ x^5 - x^6/2 + x^7/3 - x^8/4 + ... dx[/tex]

We can integrate each term separately to get:

∫ [tex]x^5 dx - ∫ x^6/2 dx + ∫ x^7/3 dx - ∫ x^8/4 dx[/tex]+ ...

Using the power rule for integration, we can simplify this to:

[tex]x^6/6 - x^7/14 + x^8/24 - x^9/36 +[/tex]...

We have now expressed the indefinite integral as a power series with coefficients given by the formula:

[tex]a_n = (-1)^(n+1) / n[/tex]

The radius of convergence of this power series can be found using the ratio test:

[tex]lim |a_(n+1)/a_n| = lim (n/(n+1)) = 1[/tex]

Since the limit is equal to 1, the ratio test is inconclusive, and we need to consider the endpoints of the interval of convergence.

The integral is undefined at x=-1, so the interval of convergence must be of the form (-1,r] or [-r,1), where r is the radius of convergence.

To determine the value of r, we can use the fact that the series for ln(1+x) converges uniformly on compact subsets of the interval (-1,1). This implies that the series fo [tex]x^4[/tex] ln(1+x) also converges uniformly on compact subsets of (-1,1), and hence on the interval (-r,r) for any r < 1.

Therefore, the radius of convergence is r = 1.

To know more about  convergence, here

https://brainly.com/question/31400159

#SPJ4

The equations of the asymptotes for the graph of F(x) are Vertical asymptote at x = 4 and Horizontal asymptote at y = 0.

To find the equations of the asymptotes, we need to examine the behavior of the function as x gets very large or very small.

First, let's factor the denominator of the function

F(x) = (x + 3) / (x - 4)(x + 3)

Notice that (x + 3) appears in both the numerator and denominator, and therefore can be cancelled out, leaving

F(x) = 1 / (x - 4)

Now, as x gets very large or very small, the value of F(x) approaches 0. However, we can see that as x approaches 4, the denominator of F(x) approaches 0, which means F(x) approaches infinity or negative infinity, depending on which side of x = 4 we approach from.

Therefore, we have a vertical asymptote at x = 4.

To find any horizontal asymptotes, we need to examine the behavior of the function as x approaches infinity or negative infinity. Since the degree of the numerator and denominator are the same (both 1), we can find the horizontal asymptotes by looking at the ratio of the leading coefficients

F(x) = (x + 3) / (x - 4)(x + 3)

As x approaches infinity or negative infinity, the denominator becomes dominated by the highest degree term, x². Therefore

F(x) ≈ (1/x²) / (1 - 4/x + 3/x²)

As x approaches infinity or negative infinity, the terms with x in the denominator become negligible compared to the constant term. Therefore

F(x) ≈ (1/x²) / (1 + 0 + 0) = 1/x²

Thus, we have a horizontal asymptote at y = 0.

To know more about asymptote here

https://brainly.com/question/28882234

#SPJ1

The domain of the function shown in the graph is the one in option A:

6 ≤ k ≤ 11

The domain of a function y = f(x) is the set of the inputs of the function. To identify the domain in a graph, we need to look at the horizontal axis (also called the x-axis).

On the graph we can see that it starts at x = 6 with a closed dot, and it ends at x = 11 also with a closed dot.

That means that these values belong to the domain, so we can write the domain as follows:

Domain = 6 ≤ k ≤ 11

(notice that the variable in the horizontal axis is k).

Learn more about domain at:

https://brainly.com/question/1770447

#SPJ1

Nachelle needs to score 110 on Exam B in order to do equivalently well as she did on Exam A.

Given data: Nachelle earned a score of 725 on Exam A that had a mean of 700 and a standard deviation of 50.

She is about to take Exam B that has a mean of 100 and a standard deviation of 20.Let x be the score on Exam B that Nachelle needs to do equivalently well as she did on Exam A.

According to the Z-score formula, Z = (x - μ) / σ where Z is the standard score, x is the value of the element, μ is the population mean, and σ is the standard deviation.

Let's calculate the Z-scores for Nachelle's scores on Exams A and B.

Z-score for Nachelle's score on Exam AZ1 = (725 - 700) / 50 = 0.5

Z-score for Nachelle's score on Exam BZ2 = (x - 100) / 20 = (x - 100) / 20

Now, if Nachelle has to do equivalently well on Exam B as she did on Exam A, then the Z-scores for both exams should be equal.

Hence,0.5 = (x - 100) / 20Solving for x,x - 100 = 0.5 × 20 = 10x = 100 + 10 = 110.

Therefore, Nachelle needs to score 110 on Exam B in order to do equivalently well as she did on Exam A.

Know more about  Z-score   here:

https://brainly.com/question/25638875

#SPJ8

The  probability that the person chosen belonged to Group Y is 69/164.

As, Out of 200 persons in the sample, those having at least one dream are 200− those who had no dream are

= 200−36

=164

Now, out of 164 people belonged to group Y

= 100−21

=79

So, the probability that the person chosen belonged to Group Y become

= 69/164

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ1

The slope of the line representing the rope is -1/4.

To find the slope of the line representing the rope, we need to use the formula for slope, which is:

slope = rise / run

In this case, the rise is the height of the wall, which is 6 feet, and the run is the horizontal distance between the wall and the point where the rope is attached to the ground, which is 24 feet. However, we need to be careful about the sign of the slope, since the rope is going down from the wall to the ground.

To take this into account, we can use the convention that a positive slope means a line is going up from left to right, and a negative slope means a line is going down from left to right. In this case, since the rope is going down, we know the slope will be negative.

So, we can calculate the slope as follows:

slope = - rise / run
slope = - 6 / 24
slope = - 1/4

Therefore, the line representing the rope has a slope of -1/4.

Learn more about slope here: https://brainly.com/question/27140856

#SPJ11

Therefore, the original purchased price of the medium pizza without a coupon is $10.31.

A coupon is a ticket or document that may be used in marketing to obtain a financial discount or refund when making a purchase of a good.  Customers receive a discount on their initial purchase thanks to the First Order Coupon. The first order coupon sales rule may be configured by admin in the admin area.

It aids in improving conversion rates. Frequently, yearly percentages are used to describe coupon payments. For instance, a bond with a $1,000 face value and an annual payment of $30 is said to have a 3% coupon. If the friend purchased a medium pizza for $10.31 with a 30% off coupon, then the price of the pizza after the discount is:

= 10.31 - 0.30(10.31)

= 10.31 - 3.09

= $7.22

So the price of the medium pizza without a coupon is $7.22 / (1 - 0.30) = $10.31.

Learn more about purchased visit: brainly.com/question/27975123

#SPJ4

To solve this problem, we can use the Pigeonhole Principle. Let's assume that there is no group of 4 students who are all willing to work with one another. This means that every group of 3 students must have at least one student who is not willing to work with the other two.

Let's consider a specific student, call them student X. According to the problem statement, student X is willing to work with 168 other students in the class. This means that there are (251 - 1 - 168) = 82 students who are not willing to work with student X.

Now let's consider any group of 3 students that includes student X. According to our assumption, there must be at least one student in that group who is not willing to work with student X. Let's call this student Y.

But we know that if student X is willing to work with student Y, then student Y must also be willing to work with student X (as stated in the problem statement). This means that student Y cannot be one of the 82 students who are not willing to work with student X.

Therefore, for any group of 3 students that includes student X, there must be at least one student who is willing to work with both student X and student Y.

Now let's consider all the possible groups of 3 students that include student X. There are (168 choose 2) = 14,028 such groups. Since every group of 3 students must have at least one student who is willing to work with both student X and student Y, we can use the Pigeonhole Principle to conclude that there must be at least (82/14,028) = 1/171 such groups that include the same two students who are not willing to work with student X.

In other words, there must be a pair of students (call them A and B) who are both not willing to work with student X, and who are both included in at least 1/171 of the groups of 3 students that include student X.

Now let's consider any group of 3 students that includes student X, student A, and student B. According to our assumption, there must be at least one student in that group who is not willing to work with either student A or student B. But we know that every student on student A's list (including student X) is willing to work with student A, and every student on student B's list (including student X) is willing to work with student B. Therefore, there cannot be any student in this group who is not willing to work with both student A and student B.

This means that there must be a group of 4 students (student X, student A, student B, and the student who is willing to work with both student A and student B) who are all willing to work with one another, which contradicts our assumption.

Therefore, our assumption was incorrect, and there must be some group of 4 students who are all willing to work with one another.

Learn more about Pigeonhole Principle: https://brainly.com/question/13982786

#SPJ11

To correctly use the wolframalpha command to match the function z = x-y/1+x^2+y^2 given by Problem 30 on Page 392 with a graph and a contour map on Page 393, you can follow the steps below:

1. Go to the wolframalpha website.
2. In the search bar, type "plot z = x-y/(1+x^2+y^2)" and hit enter.
3. The website will generate a 3D graph of the function.
4. To match the graph C and contour map II, click on the "More" button below the graph and select "Contour plot."
5. In the new window, select the second option from the left, which is the contour map.
6. Adjust the settings as necessary to match the colors and levels of the contour map on Page 393.
7. To match the graph C and contour map I, follow the same steps as above, but select the first option for the contour map.
8. To match the graph D and contour map I, click on the "More" button below the graph and select "Contour plot."
9. In the new window, select the first option from the left, which is the contour map.
10. Adjust the settings as necessary to match the colors and levels of the contour map on Page 393.
11. To match the graph D and contour map II, follow the same steps as above, but select the second option for the contour map.

It's important to correctly use parentheses in the wolframalpha command to ensure that the website understands the order of operations. In this case, we want to divide y by the sum of 1, x^2, and y^2 before subtracting it from x. Therefore, we need to enclose the denominator in parentheses, like this:

plot z = x-(y/(1+x^2+y^2))

By following these steps and using the correct wolframalpha command, you can match the function with the appropriate graph and contour map.

Learn more about wolframalpha command: https://brainly.com/question/30698326

#SPJ11

There are some trigonometric functions such as tangent, cotangent, secant, and cosecant that have restricted ranges.

Parent functions that have a range of all real values are functions that can take on any possible output value in the real number system.

The functions that have a range of all real values include:

Constant function: f(x) = c, where c is any real number. Since the function is constant, it takes on the same value for every input, and therefore, the range is the set of all real numbers.

Linear function: f(x) = mx + b, where m and b are any real numbers. Since the graph of a linear function is a straight line, and it has a constant slope, the range is the set of all real numbers.

Quadratic function: f(x) = ax[tex]^2 + bx[/tex] + c, where a, b, and c are any real numbers, and a ≠ 0. Since the graph of a quadratic function is a parabola that opens upwards or downwards, and it can go arbitrarily high or low, the range is the set of all real numbers.

To know more about  trigonometric, here

https://brainly.com/question/13729598

#SPJ4

The graduate student cannot reject the null hypothesis that there is no significant correlation between birth weight and subsequent IQ among psychology majors at the university.

The appropriate statistical test to use in this scenario is the Pearson correlation coefficient.

H0: There is no significant correlation between birth weight and subsequent IQ.

H1: There is a significant correlation between birth weight and subsequent IQ.

df = n-2 = 7-2 = 5 (where n is the sample size)

Critical value (at alpha = 0.05 and df = 5) = ±2.571

Using a statistical software or calculator, we can find that the sample correlation coefficient is 0.758, with a p-value of 0.076.

Since the p-value is greater than the alpha level of 0.05, we fail to reject the null hypothesis. Therefore, we cannot conclude that there is a significant correlation between birth weight and subsequent IQ among psychology majors at the university.

In conclusion, the graduate student cannot reject the null hypothesis that there is no significant correlation between birth weight and subsequent IQ among psychology majors at the university.

To learn more about correlation  visit:

https://brainly.com/question/30524977

#SPJ11

we have proven that the average degree in a tree is always less than 2.

To prove that the average degree in a tree is always less than 2, we need to first understand what a tree is. A tree is an undirected graph that is connected and acyclic, meaning it does not contain any cycles. Each node in a tree has exactly one parent, except for the root node, which has no parent. The degree of a node in a tree is the number of edges that are connected to it. For the root node, its degree is equal to the number of edges that are connected to its children.

Now, let's consider a tree with n vertices. The total number of edges in a tree is always n-1, since each node except the root node has exactly one incoming edge, and the root node has no incoming edges. Therefore, the sum of the degrees of all the nodes in a tree with n vertices is equal to 2(n-1), since each edge is counted twice, once for each of the nodes it connects.

If we let d_i denote the degree of the i-th node in the tree, then the average degree of the tree can be expressed as:

(1/n) * sum(d_i) = (1/n) * 2(n-1)

Simplifying the right-hand side, we get:

(1/n) * 2(n-1) = 2 - (2/n)

As n approaches infinity, the average degree approaches 2, but for any finite value of n, the average degree is always less than 2. Therefore, we have proven that the average degree in a tree is always less than 2.

To know more about average degree refer here:

https://brainly.com/question/31080273

#SPJ11

The graph is misleading because the y values are not labeled

The graph represents the given parameter where

Examining the y-axis of the graph, we can see that

The y-axis is not labeled

This means that

We cannot determine what the y values represent

This is because not labelling  the y-axis do not show the correct representation of the graph

Read more about graphs at

https://brainly.com/question/24741444

#SPJ1

Answer:

.2250

Step-by-step explanation:

The cosine function is positive in the 1st quadrant. The value of cos 77 is given as .2250

Hope this helps

The circle has a diameter of 10 and a radius of 5

the radius times itself ( 5 x 5 ) = 25

25 times pi (3.14) = 78.5

so the circle is 78.5, lets say square cm.

and the circumference is 31.41593 or 31.42  

we need to find the center point and the length of the radius. The center point is at 5. 1.  so h = 5  and  k = 1

Now let’s count from the center to a point on the circumference to find the length of the radius. 5

The radius is 5 so  r = 5

Now let’s plug everything into the standard form of a circle.

(x - h)²+ (y - k)² = r²

The value of probability to get the first letter will be always be, 1 / 26.

Given that;

A computer randomly selects a letter from the alphabet.

Now, The probability the computer produces the first letter of your first name :

Here, the required outcome is getting the first letter of your first name.

Probability = No. of required outcomes / total no. of outcomes.

For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.

Hence, Probability = 1 / 26

Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always be, 1 / 26.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer: 7:8

Step-by-step explanation: just subtract 150-80 and you get 70

80 is the women

The remaining 70 is the men

Now arrange it to men:women

70:80

Now simplify

7:8

Hope that helps :)

Hi! To find the orthogonal trajectories of the given curve s = 3a sin θ, we first need to determine its differential equation by eliminating the arbitrary constant, a. The orthogonal trajectories should have slopes that are the negative reciprocal of the original curve's slopes.

1. Differentiate s with respect to θ:
ds/dθ = 3a cos θ

2. Solve for a:
a = (ds/dθ) / (3 cos θ)

3. Substitute the expression for a back into the original equation:
s = 3((ds/dθ) / (3 cos θ)) sin θ

4. Simplify:
s = (ds/dθ) tan θ

5. Find the orthogonal trajectories by taking the negative reciprocal of the original slope:
-1 = -ds/dθ / s

6. Rearrange to find the differential equation for the orthogonal trajectories:
ds/dθ = s

7. Integrate with respect to θ to find the orthogonal trajectories:
s(θ) = c * e^θ, where c is an arbitrary constant.

So, the orthogonal trajectories of the given curve s = 3a sin θ are s(θ) = c * e^θ.

Learn more about orthogonal trajectories: https://brainly.com/question/19054363

#SPJ11

The data analyst uses the Assignment operator in the code.

Data analysts collect, clean, and examine data to help solve problems. Here's how you can start your journey as a single person. Data analysts collect, clean, and interpret data to answer questions or solve problems. Data analysis is the process of analyzing, cleaning, transforming, and modeling data to discover important information, draw conclusions, and support decisions. Data analysis has many facets and methods, including many techniques under different names, and used in different industries, research, and social studies.

The data analyst's code in R-Studio uses the following types of operators:
A. Arithmetic
B. Assignment

In the code, "sales_1 <- (3500.00 * 12)", the "*" operator is an arithmetic operator used for multiplication, and the "<-" operator is an assignment operator used to assign the result of the expression to the variable "sales_1".

Learn more about data analyst:

brainly.com/question/29351385

#SPJ11

Results:

1) Function to describe the number of eggs remaining after the chef makes x omelettes = 108 - 3x

2) The function is a linear function.

To determine the function for the number of eggs remaining after the chef makes x omelettes, we have:

Given:

Chef uses 3 eggs for each omelette, so, number of eggs used to make x omelettes: eggs used = 3x

When the diner opened, there were 9 dozen eggs in the refrigerator, meaning:

initial eggs = 9 x 12 = 108 eggs

To find the number of eggs remaining after x omelettes, we subtract the number of eggs used from the initial number of eggs:

remaining eggs = initial eggs - eggs used

Substituting the values we calculated earlier, we get:

remaining eggs = 108 - 3x

Therefore, the function to describe the number of eggs remaining after the chef makes x omelettes = 108 - 3x.

2. The function above is a linear function because the variable x has a power of 1, which means that the rate of change of remaining eggs is constant.

Learn more about a linear function at brainly.com/question/30339205

#SPJ1

Option 5: All options are correct. They are all likely to occur.

Including a plateau of data points when fitting a linear trendline can have several impacts on the regression analysis performed on that data set:

The r-squared value will be further from a value of 1: The presence of a plateau can decrease the correlation between the variables being analyzed, resulting in a lower r-squared value.

The residual error around the trendline will be greater: The presence of a plateau can lead to larger differences between the observed data and the predicted values on the trendline, increasing the residual error.

The concentration determined from an absorbance will likely be less accurate: If the plateau represents a baseline noise or interference, including it in the linear regression analysis can lead to inaccurate estimates of the concentration being measured.

The data points will fall further from the trendline: Including a plateau can increase the distance between the data points and the trendline, resulting in a less accurate fit.

Therefore, all of the options listed are correct and are likely to occur if a plateau of data points is included when fitting a linear trendline.

learn more about 'regression analysis';https://brainly.com/question/31697310

#SPJ11

The formula for the surface area of a sphere is derived from the formula for its volume by taking its derivative with respect to the radius.

Deriving the formula for the surface area of a sphere depends on knowing the formula for its volume because it involves taking the derivative of the volume formula with respect to the radius.

The volume formula for a sphere is  [tex]V = (4/3)πr^3[/tex], where r is the radius, and π is a constant. If we differentiate this formula with respect to r, we get dV/dr = [tex]4πr^2[/tex], which gives us the formula for the surface area of the sphere, A = [tex]4πr^2.[/tex]

Therefore, the formula for the surface area of a sphere is derived from the formula for its volume by taking its derivative with respect to the radius.

To know more about surface area here

https://brainly.com/question/16519513

#SPJ4

Answer:

the value is 55

Step-by-step explanation:

The estimated sum of the given series using the sum of the first 10 terms is 302,500, the improved estimate for the sum of the given series is between 305,000 and 306,000, and the value of n is 8.

(a) Utilizing the equation for the entirety of the primary n terms of the arrangement, we have:

[tex]s10 = 1^3 + 2^3 + ... + 10^3[/tex]

= 1,000 + 8,000 + ... + 1,000,000

= 302,500

In this manner, the assessed whole of the given arrangement using the entirety of the primary 10 terms is 302,500.

(b) For n = 10, we have:

[tex]sn = 1^3 + 2^3 + ... + 10^3 ≈ 302,500[/tex]

Utilizing the disparities with[tex]f(x) = x^3[/tex], we have:

[tex]sn + ∫[10,∞] x^3 dx ≤ s ≤ sn + ∫[10,∞] x^3 dx + 10^3[/tex]

Utilizing calculus, ready to assess the integrand:

[tex]sn + ∫[10,∞] x^3 dx = sn + [1/4 x^4] [10,∞] = sn + 2500[/tex]

[tex]sn + ∫[10,∞] x^3 dx + 10^3 = sn + [1/4 x^4] [10,∞] + 10^3 = sn + 3500[/tex]

Substituting sn = 302,500, we get:

302,500 + 2500 ≤ s ≤ 302,500 + 3500

305,000 ≤ s ≤ 306,000

In this manner, the made strides assess for the sum of the given arrangement is between 305,000 and 306,000.

(c) The Leftover portion Gauge for the Necessarily Test states that the mistake E in approximating the whole s of an interminable arrangement by the nth halfway entirety sn is:

[tex]E ≤ ∫[n+1,∞] f(x) dx[/tex]

In this case, we need to discover mean of n such that E < 10 using the integral test

xss=removed xss=removed> [tex][(10^-5 x 4)^(1/4)] - 1[/tex]

n > 7.9378

Subsequently, we require n = 8 to guarantee that the blunder within the estimation s ≈ sn is less than[tex]10^-5.[/tex]

learn more about the integral test

brainly.com/question/28157842

#SPJ4

The percentage of individuals surveyed that are older than 14 but younger than 20 would be = 24%.

The histogram is a graphical representation that can be used to represent results in bars of equal widths with different heights.

The total number of people that are older than 14 but younger than 20 = 18

The total number of attendees = 20+18+25+12 = 75

The percentage of 75 that is 18 is calculated as follows;

= 18/75 × 100/1

= 1800/75

= 24%

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

Means that the algorithm is more likely to accept solutions that have better objective function values.

Simulated annealing is a metaheuristic optimization algorithm that uses a probability distribution to explore the solution space in order to find the global maximum or minimum of a given objective function. At each iteration, the algorithm generates a new candidate solution by perturbing the current solution and calculates the objective function value for the new solution. If the new solution has a better objective function value, it is accepted. However, if the new solution has a worse objective function value, it is still accepted with a certain probability to avoid getting stuck in a local optimum.

In this case, the objective function to be maximized is:

f(x) = Jx(1.5 - x)

where J is a constant and x is in the range (0, 5). The initial point is x(0) = 2.0 and we need to generate a neighboring point using a uniformly distributed random number in the range (0, 1).

Let's say we generate a random number r from the uniform distribution between 0 and 1. We can generate a neighboring point x(n) using the formula:

x(n) = x(0) + (2r - 1) * delta

where delta is a small positive constant that determines the size of the perturbation. In this case, we can set delta = 0.1. So, if we generate r = 0.5, the neighboring point x(n) would be:

x(n) = 2.0 + (2 * 0.5 - 1) * 0.1

x(n) = 2.1

Now, we need to calculate the probability of accepting the neighboring point x(n) given the current temperature T = 400. The acceptance probability is given by:

P = exp[(f(x(n)) - f(x(0))) / T]

where f(x(n)) and f(x(0)) are the objective function values at the neighboring point and the current point, respectively.

Let's first calculate the objective function value at x(0):

f(x(0)) = Jx(0)(1.5 - x(0))

f(2.0) = J * 2.0 * (1.5 - 2.0)

f(2.0) = -0.5J

Now, let's calculate the objective function value at x(n):

f(x(n)) = Jx(n)(1.5 - x(n))

f(2.1) = J * 2.1 * (1.5 - 2.1)

f(2.1) = 0.21J

Substituting these values into the acceptance probability formula, we get:

P = exp[(0.21J - (-0.5J)) / 400]

P = exp[0.001775J]

So, the probability of accepting the neighboring point x(n) is exp[0.001775J]. The actual value of J is not given in the question, so we cannot compute the probability value numerically without further information. However, we can see that the probability of accepting x(n) is proportional to J. If J is large, then the acceptance probability will be larger, and vice versa. This means that the algorithm is more likely to accept solutions that have better objective function values.

To learn more about neighboring visit:

https://brainly.com/question/27169996

#SPJ11

Answer: 39

Step-by-step explanation:

    First, we will list some multiples of 3.

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, [tex]\boxed{39}[/tex], 42, 45, 48, 51, 54, etc.

    Next, we will list some multiples of 13.

13, 26, [tex]\boxed{39}[/tex], 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, etc.

    We see that the least common multiple of 3 and 13 is 39. This is the smallest value that shows up in both lists.

    What is a multiple?

A multiple is a number that can be divided with that number without a reminder.

Answer:

The value of a is 2 since 2/4 = 1/2.