can someone help me with this problem?

The value of k that will make f(z) continuous at z=i is

k = 1 - 5i.

(a) For limit to exist: lim f(2) I→i; LHL = RHL =

LHL = RHL

= 3-4

(b) Calculation:  let's redefine f to make it continuous at z=2

We have to find k such that f(z) is continuous at z=i. In order to do this, we can use the following method:First, we have to find the limit of f(z) as z approaches i.

The limit of f(z) as z approaches i is given by the following formula:

Next, we need to find the value of f(i). We can do this by plugging i into the original equation for f(z). f(i) = i² - 5i + 6 = -1 - 5i

The value of k that will make f(z) continuous at z=i is given by the following formula:

Let's use this formula to find k:k = 2 + (-1 - 5i)

= 1 - 5i

Therefore, the value of k that will make f(z) continuous at z=i is

k = 1 - 5i.

To know more about limit visit:-

https://brainly.com/question/30339394

#SPJ11

Answer:

31,7

Step-by-step explanation:

We divide 129 from 407 and multiply it by 100 to get percentage, then round

Answer:

opotion has not correct answer

answer is 15.

Answer:

\(3^\frac{7}{10}\)    or      \(\sqrt[10]{3^7}\)

Step-by-step explanation:

\(\left(\sqrt{3}\right)\left(\sqrt[5]{3}\right)=\sqrt[10]{3^7}\quad\)

(√3)(\(\sqrt[5]{3}\)) = √3 · \(\sqrt[5]{3}\)

{√3 = \(3^{\frac{1}{2}}\)}                 {radical rule: \(\sqrt{x}=x^1^/^2\)}

\(\sqrt3\)\(\sqrt[5]{3}\) =  \(3^{\frac{1}{2}}\) · \(\sqrt[5]{3}\)

{\(\sqrt[5]{3}\) = \(3^{\frac{1}{5}}\)}                  {radical rule: \(\sqrt[n]{x} = x^1^/^n\)}

 \(3^{\frac{1}{2}}\) · \(\sqrt[5]{3}\) =   \(3^{\frac{1}{2}}\) · \(3^{\frac{1}{5}}\)     {exponent rule:  \(a^x*a^y=a^x^+^y\)}

                (1/2 + 1/5 = 5/10 + 2/10 = 7/10)

              \(=3^\frac{7}{10}\)        {opposite of radical rule: \(\sqrt[n]{x} = x^1^/^n\) ;  \(x^\frac{a}{b}=\sqrt[b]{x^a}\)}

             = \(\sqrt[10]{3^7}\)

so, the simplified version of this equation can either be written as:

\(3^\frac{7}{10}\)    or      \(\sqrt[10]{3^7}\)

hope this helps!!

(I can't clearly see the last option, but if it's either of these, then it's correct)

Given data:

The standard expression for the proportionality is,

It means the graph must pass through the origin.

5)

Thus, the amount of money raised by Phil's is proportionally related.

6)

The unit rate change is the slope of the line which is,

Thus, the unit rate change is $7.5/mile.

Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

Answer:

221

Step-by-step explanation:

5 is the first term, then:

5 + 16 = 21

22 is the last term

5 + 21 = 26

6 + 20 = 26

7 + 19 = 26

.....

.....

12 + 14 = 26

and

13

There are 8 sum of 26 each and 13

Then:

8*26 + 13 = 221

The pharmacy's net profit is $7.05. So, the correct option is option D. $7.05.

To calculate the pharmacy's net profit, we will use the following terms: retail price ($29.99), wholesale cost ($19.74), and dispensing cost ($3.20).

Step 1: Find the gross profit by subtracting the wholesale cost from the retail price.
Gross Profit = Retail Price - Wholesale Cost
Gross Profit = $29.99 - $19.74
Gross Profit = $10.25

Step 2: Subtract the dispensing cost from the gross profit to find the net profit.
Net Profit = Gross Profit - Dispensing Cost
Net Profit = $10.25 - $3.20
Net Profit = $7.05

So, the pharmacy's net profit is $7.05.

Know more about profit here:

https://brainly.com/question/1078746

#SPJ11

Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

Answer: 6/4 quarts

Step-by-step explanation:

2/8 + 4/8 = 6/8

There is a common denominator so you add 2 + 4 =6 over 8.

Answer:

Rounding wise it would be 6.9 realistically it would be 6.92

Step-by-step explanation:

Answer:

1.25t+5

Step-by-step explanation:

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ11

Answer:

y=0.25x^2−2x

Step-by-step explanation:

You have to use the disruptive property.

The Prussian bureaucracy and the bureaucratic system in the United States have several key differences.

Historical Origins: The Prussian bureaucracy was established in the 18th century under King Frederick William I of Prussia, who created a centralized system of government with strict rules and regulations. In contrast, the bureaucratic system in the United States evolved over time as the country grew and expanded.

Size and Scope: The Prussian bureaucracy was a large and complex system that controlled almost every aspect of society, including education, military, and law enforcement. The bureaucracy in the United States is much smaller in size and scope, with a focus on specific areas such as taxation, healthcare, and social services.

Centralization vs Decentralization: The Prussian bureaucracy was highly centralized, with power concentrated in the hands of a few high-ranking officials. The bureaucratic system in the United States is more decentralized, with power distributed among different levels of government and agencies.

Meritocracy vs Political Appointments: The Prussian bureaucracy was a meritocratic system that valued education, training, and professional qualifications. In contrast, the bureaucratic system in the United States has a mixed approach, with some positions requiring merit-based appointments and others being filled through political patronage.

Flexibility vs Rigidity: The Prussian bureaucracy was a highly structured and rigid system with strict rules and regulations that left little room for innovation or flexibility. The bureaucratic system in the United States is generally more flexible, allowing for more experimentation and adaptation to changing circumstances.

Overall, while both the Prussian bureaucracy and the bureaucratic system in the United States are characterized by a focus on rules, regulations, and procedures, they differ in their historical origins, size and scope, centralization, meritocracy, and flexibility.

Learn more about complex system here brainly.com/question/26671074

#SPJ4

The probability that exactly one fourth of the questions will be answered correctly is approximately 0.00166.

Given,

Number of multiple choice questions = 40

Each question has four possible answers, and only one of them is correct.

Thus, Probability of getting a question correct = 1/4.

Probability of getting a question incorrect = 1 - 1/4 = 3/4

Let X be the number of questions answered correctly by the student.

Since there are 40 questions in total,

X can take any value between 0 and 40, inclusive.

To find the probability that exactly one fourth of the questions will be answered correctly, we need to calculate the probability that X = 10.

Using the binomial distribution formula,

The probability of answering exactly k questions correctly out of n total questions is given by :

P(X = k) = nCk x pk x (1-p)n-k

where, nCk is the number of ways to choose k questions from n total questions,

p is the probability of answering a question correctly, and

1-p is the probability of answering a question incorrectly.

So, the probability of answering exactly 10 questions correctly is :

P(X = 10) = 40C10 x (1/4)10 x (3/4)30P(X = 10) ≈ 0.00166.

For similar question on probability

https://brainly.com/question/29511768

#SPJ11

Answer:

=-3.5

Step-by-step explanation:

Subtract  38.5  from both sides of the equation then Simplify, lastly you Add  

9

to both sides of the equation

Answer:

202

Step-by-step explanation:

4th answer

Answer:

2 times the difference of x minus 7 plus 10

Step-by-step explanation:

When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

To learn more about compound interest from the given link

brainly.com/question/28020457

#SPJ1

The transformation represents a horizontal of 2 units to the right and a vertical of 5 units up

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the initial coordinates of the point be represented as P

Now , the coordinates of P = P ( x , y )

And , the transformed point be represented as Q

Now , the coordinates of Q = Q ( x - 2 , y + 5 )

when x → ( x - 2 )

The graph is moved 2 units to the right

And , when y → ( y + 5 )

The graph is moved 5 units up

Substituting the values in the equation , we get

The transformation is 2 units to the right and 5 units up

Hence , the transformation is 2 units to the right and 5 units up

To learn more about transformation of a function click :

https://brainly.com/question/26896273

#SPJ1

Answer:

-22

Step-by-step explanation:

g(2-1)=g(1)=(2-g(2))/8=3

2-g(2)=24

-g(2)=22

g(2)=-22

Answer:

The possibility of rolling a 3 on a fair die and getting tails on a coin is 112 .

brainliest pls?

u(x, t) is the temperature at position x and time t.

Assuming u(x,t) represents the temperature distribution in a one-dimensional rod, the modified boundary conditions of ux(0,t) = ux(1,t) = 0 imply that the ends of the rod are perfectly insulated, so there is no heat flux across the boundaries. This can be written mathematically as:

u(0, t) = u(1, t) = 0

where u(x, t) is the temperature at position x and time t. This modified boundary condition represents a Dirichlet boundary condition, which specifies the value of u at the boundary.

Learn more about dimensional

brainly.com/question/27271392

#SPJ11

Answer:

a. $65

b. $(50 + 15x)

Step-by-step explanation:

A. From the question, we are told that the first 2 GB of data costs $50 while the subsequent extra GB cost $15 per GB

so for 3 GB, the normal $50 is charged for the first 2 GB while an extra $15 is charged for the extra 1 GB

so, the total amount charged for 3 GB will be $50 + $15 = $65

B. Amount to be paid in a month where x GB is used over the normal

Firstly, she will pay the $50 , then for the extra she will be paying $15 * x = $15x

So the amount to be paid will be;

$50 + $15x = $(50 + 15x)

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

for such more question on litres

https://brainly.com/question/27877215

#SPJ8

Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

Step-by-step explanation:

The ratio of the volume of the pyramid to the volume of the prism is 1.so, the option A. is correct.

Let the base of  the base of a prism is b and the height of the prism is h.

so, the volume of the prism-

                                    V= \(b^{2}\) h

also, given that base of the given pyramid is also b and the height of the pyramid is three times the height of the prism.

                                     h'=3h

so, the volume of the square pyramid-

                                    V'=\(\frac{1}{3}\)\(b^{2}\)h'

                                    V'=\(\frac{1}{3}\)\(b^{2}\)(3h)

                                    V'=\(b^{2}\)h

so, now-

                                  \(\frac{V'}{V}\)=\(\frac{b^{2}h }{b^{2}h }\)

                                   \(\frac{V'}{V}\)= 1

  so. the ratio of the volume of the pyramid to the volume of the prism is 1.                                

Answer:

1/4

Step-by-step explanation: