Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…
A: Surface area of cube = 6x2Where x is the edge of the cube
Q: A 131 L mixing tank initially contains 65 L of brine solution with a concentration of 7 g/L. Brine…
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Q: A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a…
A: Let x represents the amount of salt after t minutes. Given that, the initial amount of salt is 15…
Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume…
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Q: 3. A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the…
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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…
A:
Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume…
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Q: A tank contains a brine solution. Fresh water enters the tank at a rate of 5 gal/min while the…
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Q: The surface area of kelp near Monterrey Bay is 40,000 square acres, but after four years a red sea…
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Q: A tank contains 120 gal of brine made by dissolving 85 Ibs of salt in water. Pure water runs into…
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Q: A large tank initially filled with 150 gal of fluid contains 10 lb of dissolved solute. Another…
A: Please check step 2 for the solution.!
Q: The mass of caffeine in the bloodstream decreased rapidly at first, and then more slowly.
A: Given statement: The mass of caffeine in the bloodstream decreased rapidly at first, and then more…
Q: A balloon is released from the ground 60 meters from an observer. The balloon rises directly upward…
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Q: . A tank contains 100 gal of brine made by dissolving 80 pounds of salt in water. Pure water runs…
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Q: A honeybee population starts with 100 bees and increasesat a rate of n'(t) bees per week. What does…
A: Given data: The initial honeybee population is n(0)=100. If n'(t) is the rate at which the…
Q: A stone tossed vertically into the air with initial velocity v cm/s reaches a maximum height of h =…
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Q: All edges of a cube are expanding at a rate of 5 centimeters per second. (a) How fast is the volume…
A: Rate of expansion of edges of a cube= 5 cm/sec
Q: MY A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall,…
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Q: Find out the lycopene concentration in tomatoes after 4 months of storage at 15°C.
A: 4 months = 16 weeks to find lycopene concentration in tomatoes we need to find the regression line y…
Q: Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150 years,…
A: Given: Carbon decays at a rate proportional to the amount present. The percentage lost is 5% in 150…
Q: Determine the growth constant of a population that is growing at a rate proportional to its size,…
A: Consider the population size is given as P(t). The expression for the exponential growth rate is…
Q: A tank contains 100 gallons of pure water. A brine solution with 2 Ib/gal of salt enters at 3…
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Q: A tank contains 100 litres of brine in which 20 gm of salt is dissolved. Brine containing 3 gm /…
A: Here I am attaching image so that you understand each and every step. A tank contains brine=100…
Q: A 100 L mixing tank initially contains 50 L of brine solution with 16 g/L concentration. Brine…
A: Let V be the volume of the tank. Thus, Vt=50+4+2-5t =50tL where, t is the time in minutes.
Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the surface…
A: we know that surface area of cube is , S = 6 • a 2 Here a is side of cube .
Q: A 100-gal tank initially contains 25 gal of 50% salt solution. Fresh water is then poured into the…
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Q: A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with…
A: This question can be solved using the concept of differential equation.
Q: A balloon is released fromthe ground 100 meters from an observer.The balloon rises directly upward…
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Q: What is the amount of time required for overflow to occur? What is the amount of salt in the tank at…
A: First you have to develop the differential equations and put the value of time and get the answer.
Q: 6. How is the instantaneous rate of change found?
A: Answer and explanation is given below..
Q: The heat transfer rate of the rocket engine is given by:
A: Part (a) - Given equation - Q = -kAdTdx ..........(1)Given that - T(x) = tanxsecx + sinx2k =…
Q: A tank initially contains 100 gallons of brine whose salt concentration is 3 lb/gal. Freshwater is…
A: We will make a differential equation for amount of salt and then will solve it to get amount of salt…
Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…
A:
Q: What is the best-estimate (with associated units) for the initial concentration (i.e. the…
A: Data is given for time and concentration With the help of regression equation we have to calculate…
Q: Brine containing 3lb/gal of salt enters a tank at the rate of 4gal/min and the solution well-stirred
A: Given that the initial amount of salt is zero( because of pure water) Rate in 4gal/min Rate out…
Q: A swarm of bees is spreading from an original region of 1 square mile. The region the swarm occupies…
A: Given that the original region of 1 square mile. After 1 year area will be 2(1)=2=21 square miles…
Q: A tand contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water…
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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume…
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Q: What’s the initial value and what’s the elimination rate?
A: as we can from the table, when time=0, the remaining alcohol is 0.19g/dl so the initial value is…
Q: How are the rate constant and the doubling time related?
A: Explanation: The exponential growth function is y(t)=y0ekt where k is the positive constant rate…
Q: All edges of a cube are expanding at a rate of 9 centimeters per second. (a) How fast is the volume…
A: To find how fast the volume changing when edge is 5cm and 12cm :
Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…
A: Solve the given problem
Q: Brine containing 1.5 lb/gal of salt enters a tank at the rate of 2 gal/min and the mixture…
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Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount…
A: Let X0 be the initial amount of material when t =0 After time t the amount which is left…
Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…
A:
Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…
A: From the given data: The rate of expanding of a cube is 4cm/sec
Q: Suppose that you are doing an experiment as part of your Capstone Design Project. A glass vessel…
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Q: what is the initial value
A: From the given graph, it can be concluded that y = -4 when x = 0 (where the graph crosses y-axis).
Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the surface…
A:
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- Testing the Effects of Tea on the Immune SystemWe have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results,1 blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to e.coli bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate.Use the information to test whether mean production of interferon gamma as a response to bacteria is significantly higher after drinking tea than before drinking tea. Use a 5% significance level.1Adapted from Kamath, A., et.…Prenatal care Results of a 1996 American MedicalAssociation report about the infant mortality rate fortwins carried for the full term of a normal pregnancy areshown on the next page, broken down by the level ofprenatal care the mother had received.a) Is the overall rate the average of the other three rates?Should it be? Explain.b) Do these results indicate that adequate prenatal careis important for pregnant women? Explain.c) Do these results suggest that a woman pregnant withtwins should be wary of seeking too much medicalcare? Explain.A tubes lifetime for your company's microwave follow an exponential distribution with a mean of 5.6 years. Your sales policy states that each magnetron tube has a two year warranty. What fraction of the tubes should your company plan to replace under warranty?
- Determine if one-tailed test or two-tailed test fits the given alternative hypothesis. 1. Rexidol and Alaxan FR have the same rate of time of reducing the body pain of patients. Answer: 2. The mean weight of Grade 11 students is less than 55 kilograms. Answer: 3. The enrolment rate of the Elementary school department and secondary school department of ingenium school marikina is not the same. Answer: 4. Male students of an Institution have a higher quotient level of intelligence compare to Female students of the same Institution. Answer: 5. The mean of internet users this year is significantly higher as compared to last year. Answer: (Just put short explanation)Iron Deficiency? Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 years is 18 milligrams (mg) per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 years are, on average, getting less than the RDA of 18 mg of iron. a. determine the null hypothesis. b. determine the alternative hypothesis. c. classify the hypothesis test as two tailed, left tailed, or right tailed.Iron Deficiency? Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, developed by the Institute of Medicine of the National Academy of Sciences. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 years is 18 milligrams (mg) per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 years are, on average, getting less than the RDA of 18 mg of iron.
- t-test 3. Suppose you are studying the distribution of zinc in a lake and want to know if there is a significant difference between the concentration of Zn2+ at the sediment-water interface and its concentration at the air-water interface. You collect samples from six locations—near the lake’s center, near its drainage outlet, etc.—obtaining the results (in mg/L) shown in the table. Using this data, determine if there is a significant difference between the concentration of Zn2+ at the two interfaces at α=0.05. Complete this analysis treating the data as paired. Location Air-Water Interface Sediment-Water Interface 1 0.430 0.415 2 0.266 0.238 3 0.457 0.390 4 0.531 0.410 5 0.707 0.605 6 0.716 0.609Seeds A garden center wants to store leftover packetsof vegetable seeds for sale the following spring, but thecenter is concerned that the seeds may not germinate atthe same rate a year later. The manager finds a packetof last year’s green bean seeds and plants them as a test.Although the packet claims a germination rate of 92%,only 171 of 200 test seeds sprout. Is this evidence that theseeds have lost viability during a year in storage? Test anappropriate hypothesis and state your conclusion. Be surethe appropriate assumptions and conditions are satisfiedbefore you proceed.Peoples of the Democratic Republic of the Congo In spite of the devastation of the Great African War (1995 – 2007, analyzed in learning activity four of this unit) that caused the death of an estimated seven million Congolese, the DRC remains the fourth most populated country in Africa with a population of 79.4 million (2015), following Nigeria, Ethiopia and Egypt. The DRC’s population is currently growing at 2.7 percent annually. Not unlike most African countries, the population of the DRC is heavily skewed to youth: 44% of the national population is under 24 years of age! Compare this to 32% of the population for the same age group in the U.S. and 24% in Japan. This demographic reality makes great demands on the government and economy of the DRC in terms of providing schooling (and other social services) and opportunities for employment in an economy decimated by war, mismanagement, and the on-going legacy of the exploitation of the DRC’s natural resources by international…