HELP ASAP!!!!!!! BRAINLIEST
5 attached

HELP ASAP!!!!!!! BRAINLIEST 5 Attached
HELP ASAP!!!!!!! BRAINLIEST 5 Attached
HELP ASAP!!!!!!! BRAINLIEST 5 Attached
HELP ASAP!!!!!!! BRAINLIEST 5 Attached
HELP ASAP!!!!!!! BRAINLIEST 5 Attached

Answers

Answer 1

Answer:

I answered it on the second time you asked this question check it out


Related Questions

Jerry ordered 4 items online. He is charged $2.91 per pound for shipping. The items weighed 4.3 pounds, 2 pounds, 3.8 pounds, and 5.9 pounds. How much will he be charged for shipping? (Round to the nearest cent).

Answers

Answer:

46.56 pounds

Step-by-step explanation:

Given data

4.3 pounds

2 pounds

3.8 pounds, and

5.9 pounds

Let us find the total weight of all the items

=4.3+2+3.8+5.9

=16 pounds

We are told that he is charged $2.91 per pound for shipping

Hence the cost of shipping 16 pounds is

=2.91*16

=46.56 pounds

25 points. Get it before the mod sees it!

gogogogo lol

Answers

Answer:

yy

Step-by-step explanation:

bi

Ayyyyyyoooooo !!!!!!

HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!

Answers

Answer:

i am unsure

Step-by-step explanation:

I HEART POINTS

x+y=94 -> y=94-x
x-y=12
Substitute: x-(94-x)=12
Distribute: x-94+x=12
Simplify: 2x=106
Solve: x=53

Plug x back into equation
x-y=12
53-y=12
y=41

x= 53, y=41

Second Question:
8+x=y
x+y = 66
Substitute: x+8+x =66
Simplify: 2x+8 =66
Solve : x=29

Plug x back into equation
x+y=66
29+y=66
y = 37

x=29, y=37

JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK? With Explanation Please

Answers

Answer:

8.5 inches

Step-by-step explanation:

Let the center of the circle = C

Now CK = CL = 6

Using Pythagoras theorem  

LK^2 = CL^2 + CK^2

        = 6^2 +6^2

          = 36 + 36

          = 72

LK = 72 ^1/2

     = ( 36*2)^1/2

       = 6(2)^1/2

      = 8.5 inches

Select the correct answer.
What is the domain of the function shown on the graph?


A. -∞ < x < ∞

B. x ≤ 2

C. x ≤ 1

D. -10 < x < 2

Answers

C is that right answer

Option B is correct, x ≤ 2  is the domain of the function shown on the graph.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

The graph has x values less than or equal to two.

x ≤ 2 is the domain of the given function.

Hence, option B is correct, x ≤ 2  is the domain of the function shown on the graph.

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The sum of two numbers is 80 The difference is 16 Write and solve a system of equations to find the numbers.

Answers

Answer:

32+48

Step-by-step explanation:

80- 32= 48

80-48= 32

Answer:  32; 48

Step-by-step explanation:

Let x be the smaller number, and y be the larger number, then we get

x + y = 80

x - y = 16

x - y = 16

x = 16 + y

x + y = 80

16 + y + y = 80

16 + 2y = 80

2y = 64

y = 32

x - y = 16

x - 32 = 16

x = 48

someone helpp!!!!!!!

Answers

Answer:

the rate of change is 3

Step-by-step explanation:

if im wrong im sorry but if im right give me brainliest

Please solve as soon as possible thank you I appreciate it!

Answers

Solve what???You forgot to put the

find the solution to mx cx kx=f(t) for an arbitrary function f(t), x(0)=0, x'(0)=0

Answers

Step-by-step explanation:

The given equation `mx cx kx=f(t)` is a second-order linear differential equation with constant coefficients. The general solution to this type of equation is given by the sum of the complementary solution `x_c(t)` and the particular solution `x_p(t)`.

The complementary solution x_c(t) is the solution to the associated homogeneous equation mx cx kx=0. The characteristic equation for this homogeneous equation is mr^2 + cr + k = 0. Solving this quadratic equation gives two roots r_1 and r_2. The complementary solution can then be written as x_c(t) = C_1e^(r_1t) + C_2e^(r_2t).

The particular solution x_p(t) depends on the form of the function f(t). There are several methods for finding the particular solution, such as undetermined coefficients or variation of parameters.

Once the complementary and particular solutions are found, the general solution to the given differential equation is given by x(t) = x_c(t) + x_p(t). The constants C_1 and C_2 can then be determined using the initial conditions x(0)=0 and x'(0)=0.

Without more information about the function f(t), it is not possible to find a more specific solution to the given differential equation.

anybody can help me with this

Answers

The answer is 21.08241 because for an approximate result, multiply the length value by 1609

Answer:

the answer is a/ 21 kilometers

David had $35 to spend at the fair. If the admission to the fair is $4.5 and the rides cost $1.50 each, what is the greatest number of rides David can go on?

Answers

Answer:

20 rides

Step-by-step explanation:

35-4.5=30.5

20*1.5=30 and 30 plus 4.5 equals 34.5

The following scatter plot depicts the number of chicken pox cases after 1988. The variable x represents the number of years after 1988. The variable y represents the number of cases in thousands.
A graph has number of years after 1988 on the x-axis, and reported cases (thousands) on the y-axis. Points trend on a negative line.
Does there appear to be a linear relationship? Explain your answer.
a.
Yes, there is a linear relationship. The data appears to have a negative correlation.
b.
Yes, there is a linear relationship. The data appears to have a positive correlation.
c.
No, there is not a linear relationship. The data seems random.
d.
No, there is not a linear relationship. There is no line which goes through all the points.

Answers

Answer: D

Step-by-step explanation: On Edge2021

Can some plz help me

Answers

Answer: red 36 m

Step-by-step explanation: base plus base = 18 / 2 = 9 * 4 = 36 m

Answer:

36 m²

Step-by-step explanation:

To answer this question you will need the equation to find the area of a trapezium:

[tex]\frac{(a + b)}{c}[/tex] × height

Substitute the figures into the equation:

[tex]\frac{(6+12)}{2}[/tex] × 4

6+12= 18

After substituting use BIDMAS/ PETMAS to solve

18÷2= 9

9×4= 36 m²

calculate the value of x for the following polygon



(answers me or i'll throw oli london at you )​

Answers

Answer:

X = 60 degrees

Answer

80°

Step by Explanation:

the angle right to 60°= 180-60 (linear pair)

= 120°

total angle of 5 sided polygon= 540°

540° = x + 110° + 130° + 100° + 120°

540° = x + 460°

x= 540° - 460°

x = 80°

how do i do this question? i got it wrong and im confused how

Answers

Answer:

im pretty sure youre right :/ dont know why it marked you as wrong

Answer:

I think its F im not sure but i did 12x12 witch is 144 the rest is self explanory

Step-by-step explanation:

Evaluate the following expression.

1/5^-2

Answers

The answer is 25. I hope this helps.

convert 123 percent into fraction​

Answers

Hopes this helps:

Answer: 123/100

1. 123% means 123 out of 100

1.23 is a decimaland 123/100 OR 123% is the percentage for 123/100.

HOW TO WRITE 123/100 AS A DECMAL?

Step-by-step explanation:

Fraction=123/101

Decmial=1.21782

percentage=121.782%

plzz help i hate mathhh hahah lol

Answers

Answer:

same here hyarhaha what to do

In a study by a researcher, the Poisson distribution was used to model the number of patients per month referrea to an oncologist. The researchers use a rate of 16 patients per month that are referred to the oncologist. Calculate the probability that in a month:

a) exactly 10 patients are referred to an oncologist. -
b) between five and 15 inclusive are referred to an oncologist.
c) more than 10 are referred to an oncologist

Answers

The probability that exactly 10 patients are referred to an oncologist in a month is 0.036

The probability that between five and 15 inclusive are referred to an oncologist in a month is 0.98.

The probability that more than 10 patients are referred to an oncologist in a month is 0.873

Given:

A researcher used Poisson distribution to model the number of patients per month referred to an oncologist. The researcher uses a rate of 16 patients per month. We have to find the probabilities for different conditions:

a) The probability of exactly 10 patients are referred to an oncologist.  

b) The probability that between five and 15 inclusive are referred to an oncologist.

c) The probability that more than 10 are referred to an oncologist.

Solution:

a) The number of patients referred to an oncologist per month follows Poisson distribution with parameter λ = 16.

The probability of exactly 10 patients are referred to an oncologist is:

`P(X = 10) = e^(-λ) * (λ^x) / x!` = `e^(-16) * (16^10) / 10! = 0.036`

Therefore, the probability that exactly 10 patients are referred to an oncologist in a month is 0.036.

b) The probability that between five and 15 inclusive are referred to an oncologist is:

`P(5 ≤ X ≤ 15) = P(X ≤ 15) - P(X ≤ 4)``= ∑_(x=0)^4 (e^(-16) * (16^x) / x!) + ∑_(x=5)^15 (e^(-16) * (16^x) / x!)`≈ 0.98

Therefore, the probability that between five and 15 inclusive are referred to an oncologist in a month is 0.98.

c) The probability that more than 10 are referred to an oncologist is:

`P(X > 10) = 1 - P(X ≤ 10)` `= 1 - ∑_(x=0)^10 (e^(-16) * (16^x) / x!)` ≈ 0.873

Therefore, the probability that more than 10 patients are referred to an oncologist in a month is 0.873.

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The sum of two numbers is 52 and the difference is 8. What are the numbers?

Answers

Answer:

22, 30

Step-by-step explanation:

52/2=26

26-4=22

26+4=30

30+22=52

Answer:

30 and 22

Step-by-step explanation:

This can be solved using system of equations

Let x = the bigger number

Let y = the smaller number

The sum of two numbers is 52

x + y = 52

The difference is 8

x - y = 8

x + y = 52

x - y = 8

I will solve using elimination

 (x + y = 52)

+ (x - y = 8)

-----------------------

2x = 60

/2     /2

x = 30

x + y = 52

30 + y = 52

-30         -30

y = 22

he mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. For a random sample of 125 adult males, the mean pulse rate is 69.3 bpm and the standard deviation is 10.9 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. b. Identify the null and alternative hypotheses.

Answers

The goal of hypothesis testing is to gather sample data and evaluate whether it provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

a. Expressing the original claim in symbolic form: Let μ be the population mean pulse rate of adult males.

b. Identifying the null and alternative hypotheses:

Null hypothesis (H₀): The population mean pulse rate of adult males is equal to 69 bpm. (μ = 69)

Alternative hypothesis (H₁): The population mean pulse rate of adult males is not equal to 69 bpm. (μ ≠ 69)

In this case, the original claim is that the mean pulse rate of adult males is equal to 69 bpm. To express this claim symbolically, we use the population mean μ. Therefore, the claim can be expressed as μ = 69.

For hypothesis testing, we have the null hypothesis (H₀) stating that the population mean pulse rate is equal to 69 bpm, and the alternative hypothesis (H₁) stating that it is not equal to 69 bpm. The null hypothesis is typically the assumption we want to test and challenge with evidence. In this case, the null hypothesis is μ = 69, while the alternative hypothesis is μ ≠ 69.

The goal of hypothesis testing is to gather sample data and evaluate whether it provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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= 10. Determine the number of zeros of the function f(x) = 24 – 223 + 922 +2 – 1 in the disk D[0,2].

Answers

The number of zeros of the function f(x) = 24 − 223 + 922 + 2 − 1 in the disk D[0, 2] is two.Answer: Two.

The given function is f(x) = 24 − 223 + 922 + 2 − 1.The number of zeros of the function in the disk D[0, 2] is to be determined.Solution:We need to use Rouche's theorem to find the number of roots of the given function f(x) = 24 − 223 + 922 + 2 − 1 in the disk D[0, 2].

Rouche's theorem: Suppose f and g are holomorphic in the domain D and on the boundary ∂D, |f(z)| > |g(z)| for all z on ∂D, then f(z) and f(z) + g(z) have the same number of zeros in the domain D.

Now, let's consider two functions. Let f(x) = 922 + 2 and g(x) = 24 − 223 − 1.Let z be any complex number such that |z| = 2.

Then we have|f(z)| = |9(2^2) + 2| = 38|g(z)| = |24 − 223 − 1| = 197. By Rouche's theorem,

we have f(z) and f(z) + g(z) have the same number of zeros in the disk D[0, 2].

The function f(z) + g(z) = 922 + 2 + 24 − 223 − 1 = 10 – 223 has two roots in the disk |z| < 2. Hence, the function f(z) = 922 + 2 has two roots in the disk D[0, 2].

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Recall the following statement from Worksheet 11: Theorem 1. If G = (V, E) is a simple graph (no loops or multi-edges) with |V] = n > 3 vertices, and each pair of vertices a, b eV with a, b distinct and non-adjacent satisfies deg(a) + deg(6) > n, then G has a Hamilton cycle. (a) Using this fact, or otherwise, prove or disprove: Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle. (b) The statement: Every connected undirected graph having degree sequence 2, 2, 4, 4,6 has a Hamilton cycle is A. True B. False.

Answers

The statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false.

To disprove the statement, we need to provide a counterexample of a connected undirected graph with the degree sequence 2, 2, 4, 4, 6 that does not have a Hamilton cycle.

Consider a graph with five vertices labeled A, B, C, D, and E. Connect A and B with an edge, A and C with an edge, B and D with an edge, B and E with an edge, and C and D with an edge. Additionally, connect C and E with an edge, and D and E with an edge. This graph satisfies the given degree sequence.

However, this graph does not have a Hamilton cycle. A Hamilton cycle is a cycle in a graph that visits every vertex exactly once and returns to the starting vertex. In the provided graph, there is no way to construct such a cycle, as it is not possible to visit all vertices exactly once and return to the starting vertex.

Therefore, the statement "Every connected undirected graph having degree sequence 2, 2, 4, 4, 6 has a Hamilton cycle" is false (option B).

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The animal department wants to estimate the kangaroo population. So they marked 30 kangaroos with paint. These kangaroos were then released into the jungle. After four months 600 kangaroos were caught. Among these Kangaroo, 18 were marked. To the nearest whole number,what is the best estimate for the kangaroo population?

Answers

Answer:

1000

Step-by-step explanation:

From the above question

We have the following parameters

30 were intially Marked

600 were caught and out of it 18 was marked

The formula for the best estimate of the population is calculated as:

Total population = Initial marked kangaroo × Number of caught kangaroo/Number of kangaroo marked after they were caught

= 30 × 600/18

= 1000

Answer:

kangaroos are found in austraillia i don't kno where in austrailla u can find one but they are cute as a pumpkin

Step-by-step explanation:

Find the equation y = Bo + B12 of the least-squares line that best fits the data points: (1, 0), (2, 1), (4, 2), (5,3).

Answers

The equation of the least-squares line that best fits the given data points is y = -0.25x + 0.25.

To find the equation of the least-squares line that best fits the data points, we need to apply the method of least squares, which is a statistical technique used to minimize the sum of the squared differences between the observed data points and the values predicted by the line. In this case, we are dealing with a linear relationship between the variables x and y.

The equation y = Bo + B12 represents a linear regression model, where Bo is the y-intercept (the value of y when x is 0) and B12 is the slope of the line (the change in y corresponding to a unit change in x). By using the method of least squares, we can determine the values of Bo and B12 that minimize the sum of the squared differences between the observed y-values and the predicted y-values based on the equation.

By applying the method of least squares to the given data points (1, 0), (2, 1), (4, 2), and (5, 3), we can calculate the values of Bo and B12. After performing the necessary calculations, we find that Bo is 0.25 and B12 is -0.25. Therefore, the equation y = -0.25x + 0.25 represents the least-squares line that best fits the given data points.

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What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.

Answers

Answer:

x intercept = -3.15

y intercept = 6.3

Step-by-step explanation:

Given the expression

-6x+3y=18.9

x intercept occurs at y = 0

-6x+3(0)=18.9

-6x = 18.9

x = -18.9/6

x = -3.15

Hence the x intercept is -3.15

y intercept occurs at x= 0

-6(0)+3y=18.9

3y = 18.9

y = 18.9/3

y = 6.3

Hence the y intercept is 6.3

Select the function that represents the simple interest formula.

A. A) = P(1 + )- 1, where n is a positive integer

O

B. A(n) = P+ (n-1);• P, where n is a positive integer

O

C. An) = n + (-1). P, where n is a positive integer

O

D. A(n) = (1 - 1)(P:n)', where nis any real number

Answers

Answer:

B. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to determine the simple interest formula is given below:

Simple interest = P×r × t

where

P denotes the principal

r denotes the rate of interest

And, t denotes the number of years

Now we replace i with the t

So,

SI = Pni

Now for n-1 years, the simple interest is

SI = P(n - 1)×i

So, the total amount would be

A(n) = P + (n - 1)i × P

Marcelina has over 500 500500 songs on her mobile phone, and she wants to estimate the average length of the songs (in minutes). She takes an SRS of 28 2828 songs on her phone and calculates a sample mean of 3.4 3.43, point, 4 minutes and a standard deviation of 0.72 0.720, point, 72 minutes. The song lengths in the sample were roughly symmetric with no clear outliers. Based on this sample, which of the following is a 99 % 99%99, percent confidence interval for the mean length (in minutes) of the songs on her phone?

Answers

Answer:

The 99% confidence interval for the mean length of the songs on Marcelina's phone is approximately (3.08 minutes, 3.78 minutes).

Step-by-step explanation:

To calculate the 99% confidence interval for the mean length of the songs on Marcelina's phone, we can use the formula:

Confidence Interval = Sample Mean ± (Z * Standard Error)

Where:

Sample Mean is the mean length of the sample songs (3.43 minutes).

Z is the critical value associated with the desired confidence level (99% confidence level corresponds to a Z-value of approximately 2.576).

Standard Error is the standard deviation of the sample divided by the square root of the sample size.

Given that the sample size is 28 songs and the standard deviation is 0.72 minutes, we can calculate the standard error as:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 0.72 / √28 ≈ 0.136

Now we can substitute the values into the formula:

Confidence Interval = 3.43 ± (2.576 * 0.136)

Calculating the confidence interval:

Confidence Interval = 3.43 ± 0.350

Confidence Interval = (3.08, 3.78)

Therefore, based on this sample, the 99% confidence interval for the mean length of the songs on Marcelina's phone is approximately (3.08 minutes, 3.78 minutes).

Hope this helps!

In how many ways can 6 adults and 3 children stand together in a line so that no two children are next to each other?

Answers

There are 25,200 different ways in which 6 adults and 3 children can stand together in a line such that no two children are next to each other.

To determine the number of ways in which 6 adults and 3 children can stand together in a line such that no two children are next to each other, we can use the concept of permutations.

Let's consider the adults and children as distinct entities. First, we will calculate the number of ways to arrange the adults in a line, and then we will insert the children into the gaps between the adults.

Step 1: Arrange the adults

Since there are 6 adults, there are 6! (6 factorial) ways to arrange them in a line.

Step 2: Insert the children

Now, we have 7 possible positions between the adults where the children can be inserted. These positions include the spaces before the first adult, between each pair of adjacent adults, and after the last adult.

To ensure that no two children are next to each other, we need to choose 3 distinct positions out of the 7 available positions. This can be done in 7C3 ways, which represents the combination of 7 positions taken 3 at a time.

Using the formula for combinations, 7C3 can be calculated as follows:

7C3 = 7! / (3! * (7-3)!)

= 7! / (3! * 4!)

= (7 * 6 * 5) / (3 * 2 * 1)

= 35

Step 3: Multiply the results

Finally, we multiply the number of ways to arrange the adults (6!) by the number of ways to insert the children (35) to obtain the total number of arrangements:

Total number of arrangements = 6! * 35

= 720 * 35

= 25,200

Therefore, there are 25,200 different ways in which 6 adults and 3 children can stand together in a line such that no two children are next to each other.

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Ali travelled 75% of her journey to work by taxi. If his total journey is 12km, what distance did she travel by taxi? don't send in file please​

Answers

75/100 multiply by 12 that gives 9km
Other Questions
Read the following case and answer the questions that follow about rating errors in performance appraisal.At the end of every semester at Columbus State University, students fill out performance measures to evaluate the quality of instruction in each of their courses. Suppose that Professor Young, a white female, knew that students' evaluations were often subject to several errors in rating bias, so she decided to investigate to see if any of these errors were occurring on her own evaluations. In addition to completing an evaluation of Professor Young's performance, students were asked to fill out a brief demographic survey. Then, she conducted several random interviews with students to find out more information on why they rated her as they did. After gathering all of her data, Professor Young analyzed the information to see if she could identify any trends. What she found was quite interesting. First, after reviewing the evaluations, she discovered that students who thought her tests were difficult tended to rate her negatively in all other areas. After she interviewed some of the students, she also discovered that some students rated all their professors very high, very low, or right down the middle. These students were consistently using only one part of the rating scale, regardless of a professor's effectiveness or lack of effectiveness. Other students tended to compare Professor Young to other instructors. One student even told Professor Young in the interview, "It's not like you are a bad professor, it's just that I had Dr. Ink this quarter and he is great!" The interviews also provided Professor Young with information on why some students rated her very highly. For example, one student told her that he was planning on taking another course from her and thought if he gave her a high evaluation, she would be more lenient in grading his work, even though he knew the evaluations were anonymous. Finally, in analyzing the demographic data, Professor Young saw that the white females were giving her higher ratings than other students. Professor Young had certainly learned quite a bit in analyzing her performance evaluations! She decided that next semester she would discuss rating errors with her class before having them evaluate her instruction.Questions (Pick best option in brackets): describe and give an example of Temperate deciduous forest It can most reasonably be inferred from the use of theword "fancied" in line 85 that Sokol:F.was delusional and near death.G.was pleased to be able to stand one last time.H.had been admired, earlier in life, by many.J.enjoyed a burst of youthful energy. Adjusting Entries for Accrued Salaries Garcia Realty Co. pays weekly salaries of $29,000 on Friday for a five-day workweek ending ending on that day. a. Journalize the nary adjusting entry at the end of the accounting period assuming that the period ends on Wednesday. Salaries Expense 23,200 X Salaries Payable 5,800 X Feedback Check My Work Learning. b. Journalize the necessary adjusting entry at the end of the accounting period assuming that the period ends on Thursday. Salaries Expense Salaries Payable Feedback Check My Work Some types of services used in earning revenues are paid for after the service has been performed. In such cases, the expense is increased. When does the accounting period and? what color on a slide actually reduces someones ability to think clearly? decompose into partial fractions:[tex]\frac{x^5-2x^4+x^3+x+5}{x^3-2x^2+x-2} \\ \\ \\ \frac{4x^2-14x+2}{4x^2-1}[/tex] A nurse is obtaining the genetic history of a pregnant client by eliciting historical information about her family members. which question is most appropriate for the nurse to ask? Which of the following is a good condition for bottom-up estimating?A. Strategic decision makingB. Internal, small projectC. Fixed price contractD. High uncertaintyE. Both C and D are good conditions for bottom-up estimating Find z1 - z in polar form. z1 = 2cis(50), z2= 5cis(300) Find the largest value of x that satisfies: logo () - logs (+ 5) = 5 = Which of the following CR cassette sizes will provide the greatest recorded detail?a. 8 x 10 inchb. 10 x 12 inchc. 14 x 17 inchd. All sizes would have equal recorded detail. question 9.9 which band combination(s) is(are) best for separating urban areas from other forms of land cover (i.e., vegetation, trees, etc.)? why? a) Use the van der Waals equation of state to calculate the pressure of 3.20 mol of hcl at 499 K in a 4.90-L vessel.b) Use the ideal gas equation to calculate the pressure under the same conditions. Select the correct answer. Circle has radius of 24 units. Arc located on the circle has a central angle of . What is the area of the associated sector, in square units? A. B. C. D. In 2010, the binder industry was perfectly competitive. The market demand curve for binders was: QD=3172-42P where P was the price of a binder (in dollars per binder) and Qp was the quantity of binders demanded per month. The market supply curve for binders was: Qs 100+150P where Qs was the quantity of binders supplied per month. a) Solve for the short run equilibrium price and output of binders (show your work).b) If a representative binder seller has long-run total cost given by: TC= 1 + 2q +0.0625q where q is the monthly output of the individual binder seller, what is the long-run, profit maximizing level of output of this firm? Explain your answer. Hint: In the long run, firms produce where ATC is at a minimum. c) What is the long-run equilibrium price charged in the market for binders? d) What is the long-run equilibrium output of the binder industry?(Hint: Assume that the firms will meet the demand at the long run price.) e) Approximately how many binder sellers will there be in the long-run equilibrium (round your answer to the nearest whole number)? : Which type of lymphocyte produces and secretes antibodies?1) Memory B-lymphocyte 2) Memory T-lymphocyte 3) Natural killer cell 4) Plasma cell 5) Cytotoxic T-lymphocyte Which factor affects the size and shape of the barrier island? a. Littoral drift b. Human alterations c. Ocean waves d. Erosion e. All of the above are correct Determine the Taylor series for the function f(x) around the point Xo by calculating the derivatives of the function at xo. 4.. f(x)=- x = 0; 4 4+x' Solucin: (-1)*(*)*, |x| Let A and B be two matrices of size 4 X 4 such that det(A) = 1. If B is a singular matrix then det(2A^2B^T) - 1 = ? a. None of the mentioned b. 0 c. 1 d. -1 e. 2. A gas station sells regular gas for $2.15 per gallon and premium gas for $2.65 a gallon. At the end of a business day 280 gallons of gas had been sold, and receipts totaled $642. How many gallons of each type of gas had been sold? a) Write a system of equations to represent the problem. b) Solve the system and state your answer in words, in the context of the problem.