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Mathematics Questions and Answers June 29, 2021

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Free-Response Question 1-no calculator (worth 15 points) 1. Given that f(x) = x2 -4 and that g(x) = Vx-1: A. State (f - 8)(x) and (f . g)(x). B. State ()(x) and determine its domain. C. Determine whether each of the following functions is odd, even, or neither odd n even: f(x) = x2 -4, g(x) = Vx-1. AP Calculus AB Page 4 Test: Bridge to Calculus

B. Find the probability of each of these outcomes. Show your work
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Use the Laplace transform to solve the following initial value problem: y" + 8y' + 25y = 8(t -5) y(0) = 0, y'(0) = 0 y ( t ) = Notation: write u(t-c) for the Heaviside step function uc(t) with step at t = c.)
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b. Find P(X 0.5). d. Find P(X 1)? e. Find the MEAN amount of time students use to take the exam. Show all work. f. Find the MEDIAN amount of time students use to take the exam. Show all work and round your answer to 3 decimal places. HINT: The total area below the median we KNOW is equal to 0.50. First set the integral equal to .50. Your job is
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1) Completa la regla con la respuesta correcta. a) Operaciones inversa a la radicacin. b) Indica las veces que la base de multiplica por si misma. c) Resulta de elevar 5a2 al cubo d) Resulta de elevar (ha )a la 4ta. Potencia. e) Es el resultado del desarrollo de (3x2 5y)3

The current price of a stock is $400 per share and it pays no dividends. Assuming a constant interest rate of 8% per year compounded quarterly, what is the stock's theoretical forward price for delivery in 9 months? Please submit your answer rounded to two decimal places so for example, if your answer is 567.1234 then you should submit an answer
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Question 7 Are modern parents doing a good job of raising their children? This is a much trickier question that it seems at first glance. In order to respond, you need to ask yourself two crucial questions. First, what does it mean to be a "modern" parent - what are the challenges that modern parents face that make parenting especially hard in the
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B 4.6 11.3 132.2" C 7 7 Calculate the area of the following triangle. Round to one decimal place
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1.A circus is testing two cannons that will shoot a clown through the air. The plan is to have the clowns shot out of the cannons at the same time, but different angles. They want them to be at the same height at some point so they can "high five" each other. The height, h, in feet, of the clowns at t seconds after being fired out of the cannons
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Order the following questions from most rudimentary to most sophisticated. Explain why you ordered them in this way. Angel's solution Angel placed values on an open number line to add Susie's and Jose's stickers: +50 +7 +12 43 93 100 112 43 + 69 = 112 Helen's solution Helen used mental math to add the numbers of stickers together: If Susie gives
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Hi! I need help really bad with these questions. Im struggling trying to figure out how to solve them. Thank you!!! :) A company is doing a hypothesis test on the variation in quality from two suppliers. Both distributions are normal, and the populations are independent. Use a = 0.1. A sample of 22 products were selected from Supplier 1 and a
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Leah and Greg have two children: Hudson and Hailey. Leah and Greg both work and they both have relatively similar amounts of power in each of their jobs. As a result, Leah does not exert much control over her daughter, Hailey. This is an example of what integrated theory

Use an identity and an inverse function to find all solutions to the following equation. 3 tan - 2 = 1 - sec^2 (please show all the work, thank you)( i think it requires the quadratic formula)

Assume that you plan to use a significance level of alpha equals =0.05 to test the claim that p1 1equals =p2 2. Use the given sample sizes and numbers of successes to find the z test statistic for the hypothesis test. Round to the nearest thousandth. A report on the nightly news broadcast stated that 14 14 out of 146 146 households with pet dogs

To find the number of modes, we evaluate the (Blank 1) on a grid of points, and count the number of times it goes from (Blank 2) to (Blank 3)

Dmi 3 (4%) Rki nokkurt hefur gefi t rkisskuldabrf me rlegum greislum upp 1.000 snum gjaldmili og bur r a kaupa a. Greislur eru 1.000 sem fyrr segir og eru til eilfar. i fi upp gefna vxtunarkrfu 10%, hvert er vermti svona brfs

You will encounter a variety of different situations in your everyday life that you can model using an equation or an inequality. Knowing when to use each of these tools is an important skill to master! For example, there is a difference between needing to have exactly $100 and needing to have more than $100. You use an equation when there should

Which of the following statements is false regarding a t -distribution with df = 15? A- its mean is zero B- its 10th percentile is 1.34 c- its 95th percentile is 1.75 d- its third quartile is 0.691

In a clinical trial for an allergy medication, 100 patients were randomized to receive either placebo or active medication for two weeks. They then rated their allergy symptoms on a 10 point scale.Below is a table with the summary statistics for the symptom scores from each treatment. The placebo group is used as a baseline measurement for the

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Select all subapaces of R 3 Oa. span 0 Ob. 3 col ( 0 1 2 7 Oc. { (x+ 2,x- 1, z) / x and z are arbitrary real numbers } Od. ( (x, y,z) in R' / xty + z = 0) De. { (2x, 3x, 4x) / x in R}
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EXERCISE 4 (15pt] (a) Implement the Polar-Ribiere conjugate gradient method. Hint: Modify the descentLineSearch. m template from tutorial 2. Copy the relevant lines in your report. [2pt] (b) Apply Polar-Ribiere conjugate gradient method to minimise the function / : R' - R Try two initial points ag = (-1,2) and ro = (-1, -0.25)and set the tolerance
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Im having trouble with this particular problem A $30,000 loan has an interest rate of 5% compounded yearly. a. If you pay $500 per year, how much will you owe after 11 years? b. How much should you pay every year to pay off the loan in exactly 10 years
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Z. How many different committees consisting of 3 people can be se- lected from 7 people
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If a waiter works for $159 per week plus 9% commission on total dining tabs, his weekly salary is y = 0.09x + 159, where y represents the salary and x represents the total dining tabs. Find the inverse function and use it to find the total dining tabs for a week in which the waiter's salary was $730.95. Find the inverse function of y = 0.09x +
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(comprar) muchas cosas aqui porque no (3)) (ir) a ninguna tienda. Pero, nosotros (56) (pasar) muy bien Francisco y yo (57) (divertirse) mucho. Casi siempre (58) (almorzar) en un buen restaurante. Varos a llamarles muy pronto porque quiero saber que (59) (hacer) Uds. esta semana. Un abrazo muy fuerte, Carmen
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4. A surfer is riding a 7-foot wave. The angle of depression from the surfer to the shoreline is 100. What is the horizontal distance from the surfer to the shoreline? 5. A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of
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(please show how you got your answer) There are two urns. First urn contains 4 red and 8 green balls. Second urn contains 2 red and 2 green balls. We rst draw a random ball from the rst urn and put it into the second urn. Then we draw a random ball from the second urn. What is the probability that given that we drew a red ball from the second urn,

Answer and explain the follow questions Question 1 0.5 pts How many 200-mg antibiotic tablets are needed for a 10-day treatment if the desired dose is 5 mg/kg/day? The patient has a body weight of 178 pounds. O 50 O 20 O 30 O 40 O 10 Question 2 0.5 pts If 500 mg of a drug and 330 mg of a diluent are needed individually to fill capsules of the same
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Figure A'B'C'D' is a dilation of figure ABCD 6 B A 2 B C1 6 4 2 0 2 4 X 6 D C 9. Part A: Determine the center of dilation and the scale factor of the dilation. 10. Part B: What is the relationship between the sides of the pre-image and the corresponding sides of the image
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3. A total of 640 people voted in an election. The circle graph shows the results Smith 15% Goron 35% Other Fishman 10% 40% (a) How many people voted for Goron? Show your work (b) How many people voted for Smith or Fishman? Show your work. Answer:\f1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees. How many monkeys are
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Question No. 1 According to The World Bank, only 25% of the population of a certain country had access to electricity as of 2019. Suppose we randomly sample 150 people in Uganda. Let X = the number of people who have access to electricity. a)What is the probability distribution for X? b)Find the probability that 15 people in the sample have access
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ZJML or LLMJ Monitoring Progress Help in English and Spanish at BigideasMath.com Write three names for the angle. 1. 2. X 3. E 2 D P R 1 Y Z Q F r 1 Basics of Geometry
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9. Prove the following identity. Explain your thought process. [T3] [C2] TVO ILC MHF4U Unit 3 Assessment 9. Prove the following identity. Explain your thought process. [T3] [C2] cot'x = cos' x 1 - cost x
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accurate answer.. Q.4 Use the one sided Greens function to solve the I. VP. 12y"-6y=It. y()= y'()=
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A quantityP is an exponential function of timet, such thatP=190 whent=4 andP=170 whent=2 Use the given information about the functionP=P0ekt to: (a) Find values for the parametersk andP0 (b) State the initial quantity and the continuous percent rate of growth or decay. Round your answer for the initial quantity to three decimal places. Enter your

Find a formula for a function that has vertical asymptotes x = 7 and x = 9 and horizontal asymptote y = 7. f ( x ) =
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You are the nurse caring for an infant born at 34 weeks' gestation with maternal substance exposure to methadone. In caring for the infant, you understand that which of the following statements is correct? Select all that apply
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In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 7, 7, 7, 10, 15 (a) Compute the value of s. (Enter your answer to two decimal places.) s= (b) Add 5 to each data value to get the new data set 12, 12, 12, 15, 20. Compute s. (Enter your

Find the determinant of the matrix 6000 24000 20000 A = 3000000 5600000 9000000 18000 -8000 14000
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Inferences about the Population Mean Please help me solve this problem? S. [SE HINTS- S+S+4 +S+S+S +5] A SAIL-ELF. I'.'I-' IE FAMiLIES WAS mum FEE ANALYSIS BE THE AVERAGE (SIDEEH EI'EHJiHG. ASSLh-IE THAT TIE IHJWIDUAL WEEKLY EEEUEDS ARE HDEMSLLY uSTEIELITEu. warn THE [Miriam I'DI'ULATIDN A\": RAGE AND PDI'ULATIDN STANDARD nEvunu DE 531 SAIL-I'LE
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According to the Texas Department of State Health Services, there are approximately 17.7 million adults (age 18+) living in Texas, of which 1.72 million have diabetes. In 2010, 68 adult Texans were diagnosed with diabetes for the first time. What is the prevalence of diabetes in Texas? Express your answer as a percentage.

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Suppose the researcher collected data from 400 randomly selected families. For each family, the total debt ( in $) and the number of hours the television is turned- on per week (TV hours) were recorded

Mathematically analyze your data (make a regression equation, make a prediction, etc.) on this topic/research question below. Topic: Encryption of Bank Accounts, Password Passcode policy varies depending on the bank. Some require 4-digit and others 6-digit. Some requires letter while others don't. But which is better? Research Question: How do we

Problem 1A (7pts). (a) Find the general solution of 1 2 x' 4 -1 classify fixed point (0, 0) (type, is stable or not, orientation-if applicable) and sketch trajectories. (b) Find the general solution C 1 2 x' = x+ 36ett 4 -1 12t + 1
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1. (3pts each) By hand, convert each of the following to Hindu-Arabic. Show all the steps neccessary in performing the conversion. ( a ) ( b ) MY 2. (4pts) By hand, find the sum Ismil + simmill work in Egyptian. Show your

Question 7 - Calculate the following integral: 0 1 x 5 + 3 x 3 + 2 x + 1 5 x 4 + 9 x 2 + 2 d x A)ln(5) 5 B) ln(5) + 1 C) e 2 D)ln(7) E) None of the answers above

Given a function described by the table below, what is y when x is 5? X Y 2 6 4 8 5 9 6 12

19. [0/1 Points] DETAILS MY NOTES GHCOLALG12 1.6.020. Solve the equation by factoring or by making an appropriate substitution. (Enter your answers as a comma-separated list.) 6t215 + 7+1/3 + 2=0 t = X Need Help? Read It
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Kalau biaya total diketahui : TC = 10 - 5Q + 2Q 2 Q = 10 - 0,5P TC = biaya total, Q = output yang dihasilkan, P = harga a.Hitunglah Harga dan kuantitas keseimbangan seorang monopoli untuk mendapatkan keuntungan maksimum. b.Apakah keuntungan yang diperoleh merupakan keuntungan ekonomi? Mengapa? 5.Monopolis menghadapi dua pasar yang berbeda dengan

You presented your plan and discussed the costs with your director who agreed to promote Ann and offer her the opportunity to become a PAYG mortgage broker for the company. You are to organise a meeting with Ann to break the news and ensure she understands the steps, education and trainings. licensing obligations and timeframe estimation of such
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BBY $35.52* 1.68 # 4.52% Delayed - data as of Dec. 3, 2014 12:38 ET - Find a broker to begin trading BBY now BBY MCD WEN Save Stocks VS News Price Trade Annual Earnings Charts History Report Report Date Dynamic quotes: On 1 Year Target: 43 Today's High/Low: $ 37.50 / $ 35.17 Share Volume: 6,500,917 90 Day Avg. Daily Volume 5,688,911 Previous
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The objective of this problem is to explore polynomial splines through a combination of explicit calculations and some light programming. We didn't get to cover this in class and this problem is meant to fill in the gap. Recall the definition of a spline. Given n 2 1 distinct points {(x;.y,-)}}"=1 a polynomial spline p of order i is such that I
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[0/0.26 Points] DETAILS MY NOTES AUFEXC4 11.5.007. 1/100 Submissions Used PREVIOUS ANSWERS ASK YOUR TEACHER The purchase price of a condominium is $120,000. A down payment of 21% is made. The bank charges $725 in fees plus 4-- points. Find the total of the down payment and the closing costs. (Round your answer to the nearest cent.) $ 31,325 X Need
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Find the perimeter of quadrilateral RSTU in the coordinate plane at the right. Round your answer to the nearest tenth place if necessary
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The test statistic of zequals =negative 3.41 3.41 is obtained when testing the claim that pless than <0.88 0.88. a. Using a significance level of alpha equals =0.05 0.05, find the criticalvalue(s). b. Should we reject Upper H 0 H0 or should we fail to reject Upper H 0 H0?

4. Let V be a nite-dimensional vector spaces and T: V } v a linear map. If there exists S: V > V such that T3 = I, prove that T is injective. Show that this fails if V is allowed to be innite- dimensional . [4]
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EXERCISE 2 [18pt] (a) Apply steepest descent with an appropriate line search to the function / in Ex.1 starting from 20 = (1, -1) and so = (-1,0), Plot the iterates over the function contours, State your choice of a line search and any important parameters. What do you observe? [2pt] (b) Investigate convergence of the steepest descent (a) iterates
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dfsadsadasd A is paid + A is heemilian by def. Now Bis abo helmet wan. ABN = du. and 1 70 A = AT = A* B = BT = B* 1 x , ) = = ( All, 6 ) 70. and real Heno, FD ( x, BX ) + 0 . andif
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7.4 Practice WITH CalcChat AND CalcView In Exercises 1-8, simplify the expression, if possible. (See Example 1.) 1. 2x2 2. - x2 3x2 - 4x 2x2 + 5x 3. x - 3x - 18 x- + 13x + 36 x2 - 7x + 6 x2 - 7x + 10 5. * + Ilx + 18 6. 12 - 7x + 12 x3 + 8 x3 - 27 7. 3214 - 50 4x3 - 12x2 - 5x + 15 8. 3x3 - 3x2 + 7x - 7 27x4 - 147 In Exercises 9-18, find the
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Use Gaussian elimination orGauss-Jordan elimination. Mike works a total of 55 hr per week at his two jobs. He makes $8 per hour at job A and $9 per hour at job B. If his total pay for one week is $458 beforetaxes, then how many hours does he work at eachjob?

1. For the given function, find the indicated function values. f(x) = 13-2x f ( 3) = f ( 7 ) = _ 2. Find the domain of the function fin question #1 above
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Third onsite interviewer asked to compare two estimators (bias/consistency/efficiency), and how to evaluate results of a survey
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21.The following data are the number of U.S. citizens (in thousands) identifying solely as Native Americans in the 2010 census for the 22 states west of the Mississippi River. 363 322 297 193 171 104 72 63 61 56 53 37 33 32 31 28 27 22 21 18 13 11 A) Calculate the mean, median, mode and midrange (Indicate which is which) B) Calculate the standard

The front and back of a storage shed are shaped like half-circles of diameter 6 metres, as shown below. The shed is 10 metres long. \f
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The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant provides the following interval estimate: from 740 to 920 books per day. If the head librarian knows that the population standard deviation is 150 books checked out per day, and she asked

please help (d-1) Find the 95% confidence interval for slope. (Round your answer to 4 decimal places.) Confidence interval is from to (d-2) The confidence interval does not contain zero, which implies there is no relationship between the total assets (billions) and total revenue (billions). there is a relationship between the total assets
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In a recent study, it was found that high school students' SAT scores were not a good predictor of college performance. What is college performance in the study? Group of answer choices Independent variable Dependent variable The predictor variable College GPA

Disney wants to examine whether the teenagers have higher preference than adults before entering the park with = .05. A random sample of 10 for each group shows the following: Teenagers: sample average preference = 5.6 and SD = 1.09. Adults: sample average preference = 4.1 and SD = 1.06. Test the Disney's hypotheses with =.05. is it 1 or 2 tailed,

Esta empresa usa gran parte de su capacidad para fabricar sus dos modelos de lentes ms vendidos, los modelos IIT e IIS. El modelo IIT requiere 6 minutos de trabajo de un artesano y el modelo IIS requiere 7.5 minutos de trabajo. Ray-ito Emprendedor dispone de 10 artesanos, pero no es necesario que los emplee a todos. La planta se usa para fabricar

5. Evaluate, if possible. 5!4! a. (1 mark) 3!2! b. (-8)! (1 mark) 200! C. (1 mark) 198
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For f(x)=x2 and g(x)=5x22, find the following functions. a. (fg)(x); b. (gf)(x); c. (fg)(2); d. (gf)(2) a. (fg)(x)= (Simplify youranswer.) b. (gf)(x)= (Simplify youranswer.) c. (fg)(2)= (Simplify youranswer.) d. (gf)(2)= (Simplify youranswer.)

Galaxy Zoo is a crowdsourced astronomy project that invites volunteers to assist in the classification of galaxies according to their shape, since computer image analysis programs are unable to reliably classify galaxies as well as the human brain. Participants are shown an image of a galaxy and asked to classify it as either spiral or elliptical;

3. Suppose that G is a group and that x E G. Show that C(x) = {g EG| xg = gx} is a subgroup of G. Suppose now that G = GL(2, R) is the group of invertible 2 x 2 real matrices and that 2 0 M : N = Determine C(M ) and C(N)
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Put down two word problems. The first word problem must be able to be solved with the number of permutations of 7 items taken 3 at a time. The second word problem must be able to be solved with the number of combinations of 7 items taken 3 at a time. What is the answer to each word

help me solve this 4. [116.66 Points] DETAILS HUNTERDM3 4.2.01 1. MY NOTES PRACTICE ANOTHER The school board consists of four men and five women. (a) When they hold a meeting, they sit in a row. How many different seating arrangements are there? (b) How many different ways can the row be arranged if no two women sit next to each other? (c) How
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Please help to solve with explanation. Thanks a lot in advance. 19. In the figure below, each distinct letter represents a unique digit such that the arithroatic holds. What digit does the letter L represent? MAP X H S IP HIP CLAP
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When you buy a certificate of deposit (CD), you are investing your money in an account that earns interest for a specific period of time. A CD matures when it has been invested for the required amount of time. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Assume that you have $2200 to invest in a 5-year CD with an APR of 3.6% compounded daily. When
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The following is data for the first and second Quiz scores for 8 students in a class. First Quiz Second Quiz 18 20 22 25 31 30 32 30 35 30 38 31 45 42 46 42 Plot the points in the grid below, then sketch a line that best fits the data. 15 10 5 10 15 20 25 30 35 40 45 50 Clear All Draw: InVO
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1. UPMC Hospital has been under recent pressure from stakeholders to improve cost efficiency and customer service. In response, the hospital calls in the Health Service Administration (HSA) Consulting Team of Robert Morris & Company (RMC). After initial analysis, we (HSA@RMC) decided to target the X-ray service process. We study the Xray service
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6. Jolene is a student athlete that has been using a steroids for the last 3 years. Steroid use at their u epidemic levels as various varsity sports teams, a students in kinesiology are using steroids to enhan performance. Jolene cannot think of one athlete that isn't currently using steroids. They are a bit c it is known that there is an increase
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Math 30-2 Question 11 (1 point) The population of a specific bacteria growing in a Petri dish is modeled by the function P(t) = 5000(2) 3 where P(t) represents the number of bacteria and t represents the time, in days, after the initial time. How long does it take for the population to double? Please just put the numerical response in the box. It
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Find the value of x https://gyazo.com/387dad4a4848a13121105b6ab3d9f573 ^ The link above is a picture of the triangles.

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I'm confused by this problem. The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40 (Bloomberg Businessweek, March 5-March 11, 2012). Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $.25 in

too19 bnis VthislimizzsignshT :A20 2 finU Unit 5 CSA: Triangles, Similarity, and Proof LT# 4 Prove two triangles eal D shl 16limia se are similar by either Given: CB = AB, 41 and 42 are right zouisv brin o AA,"SAS,"SSS angles Prove: A BAD~ABCD B Statement Reason 1a) 1b) 2a) 2b ) 3a) lis to amemswesem and: lis bon 3b) X 101 9vloe oris an on signs
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5. MGSE9-12G.CO.7 Kim performs a series of transformations on a triangle. The resulting triangle is similar but not congruent to original triangle. Which transformations did Kim perform on the triangle? X A. Translated = unit up followed by a reflection over X-axis B. Reflected over the x-axis followed by a 90 clockwise rotation C. Dilated by a
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Chrome File Edit View History Bookmarks Profiles Tab Window Help O Q 8 Thu Mar 30 5:02 PM ... Course Modules: 2023SP BUS X Ch 14 Worksheet.pdf: 2023SP X Ch 14 Quick Reference.pdf: 20 x G how many days from may 4 to j x X Mathway | Algebra Problem Sol X + Files > Ch 14 Worksheet.pdf DIMMUNITY COLLEGE AKE AMAZING HAPPEN Spring Semester 2023 Ch 14
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A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 94.73. Random sampling of 76 scores obtained from individuals who were bullied yielded a mean of

Help with questions b) Using Hicksian method, clearlyillustrate income and substitution effect as a result of change in price of a commodity [10 marks] 3. a) What is the difference between ordinal and cardinal ranking of consumer preferences [4 marks] b) Illustrate and discuss how the kinked demand curve explains the phenomenon of price rigidity
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Monica has recently inherited $7800, which she wants to deposit into a CD account. She has determined that her two best bets are an account that compounds quarterly at an annual rate of 2.8 % (Account 1) and an account that compounds annually at an annual rate of 4.2 % (Account 2). Step 2 of 2 : How much would Monica's balance be from Account 2
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How to perform partial fraction decomposition of transform function 28/[(s+2)(s+7)] * 1/s

Please help me on my activity in my Math subject about Equation and Graph of a Circle. Please give complete solution. Thank you! A. Find the distance between each pair of points on the coordinate plane. SOLUTION: SOLUTION: SOLUTION: FINAL ANSWER: FINAL ANSWER: FINAL ANSWER: B. Find the coordinates of the midpoint of the segment whose endpoints are
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Problem 4. Consider the set A of years from 2005 to 2010 with 2000 and 2010 included. Find I1(A). Problem 5. Consider the set S which is the subset of A which is even years. Let the set T be the subset of A which is years that are dividable by 5. Find n(S), n(T) and n(S U T). Use a formula to nd n(S n T). Problem 6. Draw a general Venn diagram for
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