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Mathematics Questions and Answers March 31, 2020

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While coloring takes ho she needs to make a minimum of 150 a day to pay for her expenses. a) Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents. b) Graph your inequalities and show the solution set. 01345 676RT c) Identify a point that represents a combination of
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Enter the answer to each question in base 10. (a) If a positive integer written in base 10 has 4 digits, what is the least the integer could be (b) If a positive integer written in binary has 6 digits, what is the most the integer could be (c) If a positive integer has 8 digits when written in binary, at most how many digits does it have when
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10. IB QUESTION The following graph represents a function y f(x), where 3 x 5. The function has a maximum at (3, 1) and a minimum at (1,1). 3 0 2 i 1 (a) The functions u and v are defined as u(x) x 3, v(x) 2x where x R. (i) State the range of the function u o f.
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1. Simplify A. x1 1 X10 9x x9x10 9x X2 B. X3 X4 C. x8 X4 D. X5
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Answer the questions for the function f(x) a. Find formulas for f(x) and f(x). f(x)9x6x1 f(x)18x6 Enter f(x), f(x), and f(x) into your grapher to examine the table. b. Set the first derivative f(x)0 to find any critical values. Tip You may wish to graph f(x) by itself to explore if it has any zeros. It can be helpful to know that the formula of
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graph with its equation. d. Q.
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An amount of 5000 is invested at 14 interest, compounded daily. a. Find the future value in 5 years. b. Determine whether more or less money would have accrued if the money had been compounded quarterly. a. The total amount is (Round to the nearest cent as needed.)
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2 6. Phenobarbital 50 mg q6h has been ordered for your client. You have phenobarbital 100 mg tablets available. How many tablets will you give
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Answer the following question involving a conversion within the USCS system. 4) The container holds 4 gallons of water. How many fluid ounces is that B) 1024 fl oz A) 128 fl oz 5) If a horse ran 4 furlongs, how many yards did it run C) 512 fl oz A) 880 yd B) 21,120 yd 4) D) 256 fl oz 5) C) 7040 yd D) 3520 yd 6) C) 131.2 ounces D) 98.4 ounces 6)
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Assume that A and B are events. If P(AUB) 0.6, P(A) 0.3, and P(B) 0.45, find P(ANB). P(ANB) (Simplify your answer. Type an integer or a decimal.)
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twentytwo increased by twice a number O 22x2 O 2 22x Ox22 O 22 2x
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Consider the complement of the event before computing its probability. If two 20sided dice are rolled, find the probability that neither die shows a seven. (Hint There are 400 possible results from rolling two 20sided dice.) The probability is. (Simplify your answer.)
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Question 6 In a year when the maximum income for Social Security was 106,800, Bart worked two jobs. In one job he earned 99,112. second job, he earned 56,222. Both of his employers took out the 6.2 Social Security tax. As a result, Bart had paid excess Social Security tax, and the government must return some of it to him. How much does the
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Air pressure at this location is considered low pressure. As air reaches higher altitudes, the temperature decreases until the dew point is reached. C As air moves up in altitude, the temperature of the air decreases. D Warm, moist air is less dense than cooler air and begins to rise. Order Letter 1st Order for the Blue Copy Series of Factors 2nd
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Round the number to the given place value. 78.4976 Hundredths Step 1 To round the number to the hundredths place, use the following rule If the digit to the immediate right of the hundredths place is less than increase the digit in the hundredths place by x, drop it and also drop all digits to its right. If this digit is greater than or equal to
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oblem 4 The concentration C of a drug in the bloodstream is given by C(t) 31, 5 2 where t is the time in hours after ingestion of the drug, and C is measured in milligrams per liter. a. State the domain of C(t). b. Evaluate the average rate of change of C(t) on the interval 4,5, include units, and interpret the answer. c. Graph the function. Page
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Beginning in Chicago, a salesperson must visit San Francisco, Los Angeles, San Diego, Austin, Houston, Jacksonville, Washington DC, New York City, and Boston. How many Answer different itineraries are there How many different itineraries are there if San Francisco, Los Angeles, and San Diego must appear consecutively and in this order Answer
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7. (1 point) which power is equivalent to 65 a. 65 b. 65 65 d.
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begal closed on BM1231 (elevation 418.60). The Plus and minus sights were kept approximately equal. Readings (in feet) listed in the order they were taken are BM 1022 2.12 (BS) TP 1 12.87 (FS) 5.69 (BS) TP 2 4.22 (FS) 2.36 (BS) TP 3 8.54 (FS) 6.25 (BS) TP 4 7.54 (FS) 5.91 (BS) and BM 1231 6.06 (FS). What is the misclosure of the level run 11
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You grab a bottle of Mountain Pepper from the vending machine and look at the nutritional label. It says that for one 591 mL bottle, you would consume 68g of sucrose. What is the percent sucrose (mv) of your Mountain Pepper Time left 00235
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Webserver Hit Requests (in thousands) 12 10 8642 0 2 3 4 5 6 7 8 x Hours since 800 AM 2018 WGU, Powered by GeoGebra Question 1 of 11 Identify its maximum and interpret its meaning in this context. The functions maximum is approximately 10.5 at x4.25. It implies the web server has a maximum htt request of 10,500, which happens at 1215 p.m. O The
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Consider the following sets A 0 B0 C 0, 0 D 0, 0, 0, 0 E 0 F 0, 0 Group A, B, C, D, E, and F into as few groups as possible so that all the members of each group have the same cardinalit Enter your answer as a commaseparated list of groups. (For example, if A, B, C are in the same group, E, F are in the same group different from the group of A,
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2. (5 points) A baseball players batting average is the number of hits (H) divided by atbats (AB). Jeff Squirrel enters the last game of the season leading the league with an average of .326 (174 H 533 AB). Use linearization (or differentials) to estimate the effect on batting average of a hit in the next atbat versus an out. Compare these
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Find the mean, median, and mode for the following distribution. 5, 6, 5, 1, 3, 8, 9, 7, 10 Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mean is (Type an integer or decimal rounded to one decimal place as needed.) OB. There is no mean for these data.
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Answer parts a and b. a. n(A U B) 16, n(A n B) 6, and n(B) 10, find n(A). b. If n(A)6, n(B)16, and n(A n B) 3, find n(A U B). a. n(A) b. n(A U B)
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An object moves in simple harmonic motion with period 5 seconds and amplitude 6 cm. At time t0 seconds, its displacement d from rest is 0 cm, and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t. d 0 T D D
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In an experiment on social interaction, 7 people will sit in 7 seats in a row. In how many ways can this be done There are ways.
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11. WRITE Math Describe a reallife multiplication situation for which an estimate makes sense.
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3. Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Pauls typing speed compare to Jennifers A. Paul can type 13 as fast as Jennifer. O B. Paul can type 34 as fast as Jennifer. O C. Paul can type 113 times as fast as Jennifer. D. Paul can type 14 as fast as Jennifer.
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This question 1 point(s) possible Submit quiz Assuming that we are drawing five cards from a standard 52card deck, how many ways can we obtain a straight flush starting with a seven (7, 8, 9, 10, and J, all of the same suit) There are ways to obtain a straight flush starting with a seven.
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Assume that five men and five women are to sit in a row of ten chairs. In how many ways can these people sit if all men must sit together and all the women must sit together Use the fundamental counting principle. To apply this principle, first identify the separate tasks involved in making the seating arrangements. There are different ways.
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8. Amino acids that must be obtained through the diet are called O A. nonessential amino acids. O B. peptides. OC. cholesterol. OD. essential amino acids.
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Stocks and bonds are bought and sold on a stock market. Usually the goal of a person who buys stock is to hold shares of stock for a period of time and then sell them for more than the purchase price. You can use statistics to analyze stock prices and make decisions based on your findings. 1. The tables below show the closing price (in dollars)
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3 Check my wo 2 mts eBook Print eferences A machine costing 211,600 with a fouryear life and an estimated 16,000 salvage value is installed in Luther Companys factory on January 1. The factory manager estimates the machine will produce 489,000 units of product during its life. It actually produces the following units 121,700 in Year 1, 123,500 in
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The mixing department has 51,000 equivalent units of direct materials and 28,000 equivalent units of conversion costs. The direct materials cost 40,000, and the conversion costs are 15,000. Assumir no beginning inventory, the total cost per equivalent unit is (Round any intermediary calculations and your final answer to the nearest cent.) OA.
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It takes Jasmine of an hour to peel a pound of apples. It takes Ralph of an hour to peel a pound of apples. If each person continues to work at the same rate, how many pounds of apples can Jasmine and Ralph pee in one hour
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(1 point) Suppose (3, 0, 5) and (3,5, 3). Then uv 2u 2u4v
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Write the number given below as a decimal numeral. 11110010two
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A government considers a single person as living in poverty if his or her income falls below the official poverty level, which is adjusted every year for inflation. The function that models the povert threshold for the years 19872008 is f(x)3128.34054.2 In x dollars, where x is the number of years after 1980. a. What does this model give as the
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Find the measure of angle c in degrees. Round to two decimal places as necessary. 23 23 Show your work here C 13
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32 Simplify this number and write the answer in appropriate scientific notation, with the mantissa rounded to 3 decimal places (8.640 x10) x (1.242 1019) 2.208 x 1014 answer Question Help Message instructor Submit Question Note There are no questions that combine converting units with rounding rules. Please remember to complete the practice
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A lottery costs 1 dollar to play. Bella must pick four digits in order from 0 to 9 and duplicates are allowed. If she wins, the prize is 7,000 dollars. First calculate the expected value of the lott Determine whether the lottery is a fair game. If the game is not fair, determine a price for playing the game that would make it fair. What problem
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Perform the elementary row operation 4R R R, on the given matrix. 3 1 CH 4 12 Resulting matrix X G
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In the absence of immunization, a certain disease is contracted at an average age a. If b percent of the population is immunized at birth, then the average age at which the disease is contracted is given by A 99a 100b We think of a as a constant, so A is a function of b. Find the vertical asymptote for A. (Express numbers in exact form. Use
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asic asic 5.16 A study is designed to test the hypotheses Ho 26 versus Ha 26. A random sample of 50 units was selected from a specified population, and the measurements were summarized to y25.9 and s 7.6. a. With a .05, is there substantial evidence that the population mean is less than 26 b. Calculate the probability of making a Type II error
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The Kardashi.. Questions Failed to ope... V New Apple iP... Weedmaps.. Welcome to t... Select the graph of the transformation of f (x) 6. Then, give the horizontal asymptote, the domain, and the range. f(x)61 12 0 a Horizontal asymptote y Domain (using interval notation) Range (using interval notation) 6 3 5 O P a
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Measurements 7.12 mg 6.1 mg 20.28 mg 7.06 mg 100.5 mg 110 mg 210.5 mg 110 mg Sum or Difference Before Rounding Least Accurate Measurement(s) 6.1 mg Answer Rounded to Correct Place 20.3 mg 210 mg 6 cm 8.3 cm 103 g 1.1 g 5 ft 52 ft 6.3 cm 3 cm 101 mg 25 mg 98.1 mg 10 mg 65.5551 g 2 g 1000 mi10 mi
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Assume that it costs 2 to play a states daily number. The player chooses a threedigit number between 000 and 999, inclusive, and if the number is selected that day, then the player wins 500 (this means the players profit is 5002 498). If the player buys 20 chances on 20 different numbers, what is the expected value for the player There is an
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Marcus has won a 6,000,000 state lottery. He can take his prize as either 15 yearly payments of 400,000 or a lump sum of 3,225,000. Which is the better option Assume an interest rate 9. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to the nearest dollar as needed.) OA. The present value
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Here is the sales slip from Sharons shopping trip. Receipt Toothpaste 3.45 Book 8.95 Wallet 5.50 Game 5.95 Total Before Tax Amount of Tax Total Bill 25.52
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Name Time allowed per column (1) 8715 (1) 179 (2) 7613 (2) 156 (3) 65 (4) 74 (3) 138 (4) 16 7 (5) 9716 (5) 146 . (6). 86 14 74 (6) 12 5 (7) 7512 (7) 158 (8) 98 12 (8) 136 (9) 96 (9) 115 (10) 85 (10) 189 (11) 95 (11) 145 (12) 84 (12) 139. (13) 93 (13) 137 (14) 89 (14) 157 (15) 49 (15) 126 (16) 67 (16) 148 (17) 78 (17) 169 (18) 69 (18) 168
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A concert promoter needs to make 108,000 from the sale of 1900 tickets. The promoter charges 60 for some tickets and 40 for the others. Complete parts (a) through (e). a. If there are x of the 60 tickets and y of the 40 tickets, Write an addition equation that states that the total number of the tickets sold is 1900. (Type an equation. Do not
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Main plant Marigold Tagetes Other plants also included in lab Vinca Catharanthus roseus Begonia Level of soil per pot Pot 1 5 cm .Pot 2 7.5 cm .Pot 3 12 cm Pot 4 15 cm IV Levelamount of soil in the different pots. DV Amount of leaves on each branch of the plant, within each pot. Research Question How does the mass of soil affect the amount of
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A cosine function has a maximum point at (4, 28). The next minimum point occurs at the point (12, Determine the coordinates of the next maximum point. (A) (12, 28) (D) (28, 8) the function (B) (20, 8) reaches (E) (28,28) (C) (20, 28)
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Evaluate the following expressions 4 1 2 (0)(0)5 a. 3 3 b. 8 14 2 Round to two decimal places. 8 0 14 Round to two decimal places.
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Rent controls on apartments are an example of price controls on a commodity. They keep the price artificially low (below the equilibrium price). Sketch a graph of supply and demand curves, and label on it a price p below the equilibrium price. What effect doe forcing the price down to p have on (a) The producer surplus (b) The consumer surplus (c)
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7. Ativan 2 mg po HS has been ordered. Ativan (lorazepam) 0.5 mg tablets are available. How many tablets will you give
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Express the following statement in interval notation. Starting annual salary at a position is anything from 35,000 to 53,000 depending upon experience. The statement cannot be expressed in interval notation. O 35,000, 53,000 O (35.000, 53,000) O 35,000, 53,000) O (35,000, 53.000
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Fill in the missing steps. (Simplify your answers completely.) tan(x)cot(x) tan(x) cot(x) sin(x) cos(x) cos(x) sin(x) sin(x) Cos(x) cos(x) sin(x) sin(x) sin2(x) sin(x) cos(x) 1 sin(x)cos(x) (1( )) )) cos(x) F1 3 cor(x)
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Evaluate the following. Use Exponent Rules if possible a. 810 89 b. 53 x 53
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Deborah has two pairs of slacks, three shirts, and six sweaters. From how many combinations can she choose if she chooses a pair of slacks, a shirt, and a sweater each day She can choose from possible combinations
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Use the fundamental counting principle. The editor of the Video Gamer is selecting 7 video games from 12 possibilities to review in his online column. One will be the featured game and the other 6 will be covered in less detail and in no particular order. In how many ways can he make his selection There are ways the editor can make his selection.
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completion. Following are the issuances of stock transactions. 1. A corporation issued 4,000 shares of 20 par value common stock for 96,000 cash. 2. A corporation issued 2,000 shares of nopar common stock to its promoters in exchange for their efforts, estimated to be worth 47,500. The stock has a 2 per share stated value. 3. A corporation issued
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3. (1 point) Determine the volume of concrete needed to construct this ramp, to the nearest tenth of a cubic metre. 32 cm 1.2 m 1.9 m a. 72 cm b. 1.4 m c. 0.36 m d. 0.4 m
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Which property of addition of whole numbers is illustrated 2 5 0 1 2 3 4 5 6 7 8 9 5 2 O Associative property O Additiveidentity property Commutative property
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Given the points (2,0) and (0,0) on a line, find the equation of the line.
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ml. 5. Three days prior to the final exam, Mr. Hobson develops tachycardia so severe that he seeks medical attention. The ER doctor orders Pronestyl 300 mg IM stat. The label reads Pronesty 0.5 gm per ml.. How many ml. will be given
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1. In September, Mr. Hobson weighed 90 kg. He gained 11 lbs since then. How many kg does he weigh now
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r the following quadratic functions, use the discriminant to determine the nature of the root f(x) 3x4x2 b) f(x)67xx c) f(x) 9x 24x 16
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1. A Liquid limit tests results are given below. TEST Liquid Limit Number of blows, N Moisture Content () 13 39 24 28 30 24.8 40 20 a. Draw the flow curve and determine the liquid limit. b. If PL is 11. determine the plastic limit of the soil.
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4. Suppose the vapor pressure of pure water at the temperature of your experiment (e.g., 25C) is 3 kPa and the water activity of your sample is 0.85. What is the vapor pressure of water in the headspace of the sealed sample cup during experiment What is the dew point temperature of air in the headspace
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K How many twoelement subsets can we choose from a fiveelement set (Use row 5 of Pascals triangle to find the answer. The number of different subsets of size 2 for a set of 5 elements is
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a) Find the value k of the exponential growth rate. Assume V 271. k (Round to the nearest thousandth.) Instructor tip Example Write an exponential function by first finding the rate of change, k, given the value is 239 in 1977 and 499 in 1985. Tip Use V(t) Voe(kt) V(t) and the Vo are both dollar amounts, the tis the time it took for the original
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Perform the stated operation on the following functions f(x) 2x g(x) x1 (fog)(2)
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a. 6. (1 point) 625 625 is equal to b. 15 C. 25 d. 625
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A fish pond at a carnival contains 68 angelfish, 132 cory cats, 38 goldfish, and 102 tetras. If Marcelo picks a fish at random from the pond, what is the probability that it is a tetras The probability is (Simplify your answer.)
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5. Let s 0 and t 0, and let (ao. a1, a2,, an...) be sequence that satisfies and ao 2ts a1 (18)a, t () for each i0. We will prove an inequality that is important for deriving the global error in Eulers method. (a) Show that () implies 1 1 (18)a1 1 (18) (b) Show that () and part (a) imply 01(1s) 21(1s)(18) (c) Use an inductive argument to show
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Answer the following Poisson exercises using the Excel function Poisson in your equation. Enter your Excel equations in the highlighted cells. 1 A textile manufacturer process finds that on average, four flaws occurs per every 60 yards of material produced. a. Write the Excel equation, using an Excel function, that will calculate the probability
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Problem 2 Find the value for t and the terminal point determined by the t for each point in the figure. 0.5 0.5 0.5 0.5 05 05 Figure 1 t increases in increments of 74 0.5 and 96 T respectively. 6 10
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By dragging statements from the left column to the right column below, give a proof by induction of the following statement For all n 1, 12 22n n(n 1)(2n1) 6 The correct proof will use 8 of the statements below. Statements to choose from Note that 12 (1)(11)(211) 6 So the base case P(1) is true. Now assume that P(k) is true for an arbitrary
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Custom Creations Furniture Company manufactures furniture at its Akron, Ohio, factory. Some of its costs from the past year include Depreciation on sales office Depreciation on factory equipment 9,100 16,700 Factory supervisor salary 50,100 Sales commissions 23,300 Lubricants used in factory equipment 3,900 Insurance costs for factory 21,700
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Answer the following questions for the function f(x) 4x12x 180x14. Enter f(x), f(x), and f(x) into your grapher to examine the table. b. The formula for the first derivative f(x) can be factored. Set f(x) 0 to find the two critical numbers. Hint You can factor out 12 from all terms in the formula for f(x). You can also scroll the table function
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Closing Entries Responsible Company The balances as of December 31, 2024 (after adjustments have been made) for Responsible Company are listed below. 1. Record the closing entries needed for Responsible Company. Type your answer in journal form. Omit explanations. 2. Indicate the ending balance of Retained Earnings on December 31, 2024. Show the
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Question 3 of 10 Find an exponential model that satisfies the given conditions. Write the amount, A, first as a function of the halflife, h, then as a function of the given unit of time, t. The initial value is 14. The halflife is 9 minutes. (Express numbers in exact form. Use symbolic notation and fractions where needed.) in terms of halflives,
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Drives Co. sells portable hard drives. They can sell 800 drives when the price is 65drive, and they can sell 920 drives when the price is 35drive. If x represents the number of drives sold, determine the following. (a) What is Drive Co.s revenue function R(x) (b) What is the price per drive (in dollars) when revenue is maximized (c) What is the
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6. Use bracket(s) with the expression 53x462 so that it simplifies to 8. Show your work to prove your solution works.
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You have just taken a job at a bank in the loans department. Your bank is worried about the current economic climate and its potential to limit the real rate of interest the bank will earn on new loans. The head of the department asks you to determine the proper nominal rate of interest to ensure a 4 real rate of interest, and tells you that the
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An employees monthly productivity M, in number of units produced, is found to be a function of the number t of years o service. For a certain product, a productivity function is shown below. Find the maximum productivity and the year in which it is achieved. M(t)412 240t120,0 st40 The maximum productivity is achieved in year
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3. (4 points) Abdul needs to repay a 25000 debt. His bank offers personal loans at 7.8, compounded biweekly. Calculate the total interest paid by Abdul if he repays the debt with biweekly payments over three years.
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Perform the division and express the answer in scientific notation. Choose the correct answer (9.418 x 105) (2.77 10) 3.4 x 102 O 3.4 x 108 6.648 x 102 6.648 x 108
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A rectangular box with a volume of 720 ft is to be constructed with a square base and top. The cost per square foot for the bottom is 15, for the top is 10, and for the sides is 1.5. What dimensions will minimize the cost What are the dimensions of the box The length of one side of the base is The height of the box is (Round to one decimal place
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Assume now that for you have the same gemetry and that both cables have a 9 mm diameter and are made of the same material. What should be the minimum value of the failure stress of the material for the cables such that the structure is safe for the given weight of 2000 kg 183 MPa 226 MPa 129.4 MPa 160 MPa Incorrect
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7) A warehouse is 42 yards long and 26 yards wide with a height of 13 yards. What is the volume of the warehouse A) 1092 yd B) 1092 ft2 C) 14,196 ft3 8) How many square inches are in 6 square yards A) 216 in.2 B) 72 in.2 C) 7776 in.2 7) D) 14,196 yd3 8) D) 864 in.2 9) A swimming pool 3 meters deep, 14 meters long, and 6 meters wide is filled with
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The difference of a number and 7 is 20. What is the number
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Evaluate the expression. C(11,4) C(11,4)
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9. A client is to receive Folic Acid 200 mcg IM BID. You have Folic Acid 500 mcgml. How many milliliters will you administer mL
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Rearrange to isolate variable y in the following equation, and choose the correct answer 6(92)3(13)
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32. A decrease in the price of eggs will result in A) an increase in the demand for eggs. B) an increase in the supply of eggs. C) a shift in the supply curve for eggs. D) a movement along the demand curve for eggs.
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16. For what integer a is x13x90 divisible by xxa as polynomials
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Question 1 3 If the formula y zis changed by adding six (shown in bold below), what effect would that change have on the functions values f(x) x6 Select an answer What effect would it have on the graph Select an answer
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