G we will use a spectrophotometer x Dashboard X VA Section 4.6 - MATH 19, section 6 x + X C webassign.net/web/Student/Assignment-Responses/last?dep=29741500 GAO 4. [3/4 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we have a 10-g sample. (a) Find a function m(t) = mo2-W that models the mass remaining after t years. m(t) = 10 2 30 (b) Find a function m(t) = moe " that models the mass remaining after t years. (Round your / value to four decimal places.) m(t) = 10e rt (c) How much of the sample will remain after 74 years? (Round your answer to one decimal place.) 1.8 9 'd) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.) 40 yr Need Help? Read It 5. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise uses the radioactive decay model. O Oct 18 1:16 0 1 US6 e G _ 5 G * E' E V (b) nd a function m(t) : mue'\" that models the mass remaining after 1' years. (Round your r value to four decimal places.) mm = lorert K (c) How much of the sample will remain after 74 years? {Round your answer to one decimal place.) g (d) After how many years will only 4 g of die sample remain? (Round your answer to the nearest whole number.) vr Need Help? i 5. [on Points] PREVIOUS ANSWERS SPRECALCTABJHS. [ MY NOTES J [ ASK YOURTEACHER J [ PRACTICE ANOTHER This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long will it take a 90-mg sample to decay to a mass of 68.4 mg? (Round your answer to the nearest whole number.) x w Need Help? i i a. [111 Points] PREVIOUS ANSWERS SPRECALC74.6.021.MI. MY NOTES ' | ASK YOURTEACHER ' | PRACTICE ANOTHER I This exercise uses the radioactive decay model. ' @ .'I. 01118 1:16 o 0 I us V i G we will use a spectrophotometer x Dashboard X VA Section 4.6 - MATH 19, section 6 x + X webassign.net/web/Student/Assignment-Responses/last?dep=29741500 S GE 7. [0/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise uses the radioactive decay model. After 3 days a sample of radon-222 has decayed to 58% of its original amount. (a) What is the half-life of radon-222? (Round your answer to two decimal places.) 3.75 x days (b) How long will it take the sample to decay to 20% of its original amount? (Round your answer to two decimal places.) 1.21 x days Need Help? Read It 8. [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.024.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise uses the radioactive decay model. The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest ten years.) 7370 x yr Need Help? Read It Master It 9. 11/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.026.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Oct 18 1:16 0 1 US6 a G _ 5 e * E' E PREVIOUSANSWERS SPRECALCTASJJZEMI. | MY NOTES H ASKYOURTEACHER H PRACTICEANOTHER I This exercise uses Newton's Law of Cooling. a. [112 Points] Newton's Law of Cooling is used in homicide investigations to determine the time of death. The normal body temperature is 98.6\"F. Immediately followmg death, the body begins to cool. It has been determined experimentally that the constant in Newton's Law of Cooling is approximately k = 0.1947, assuming time is measured in hours. Suppose that the temperature of the surroundings is 65"F. (a) Find a function t) that models the temperature t hours alter death. [I.1947t TU) = 65 + 33.53 if (b) If the temperature of the body is now 71F, how long ago was the time of death? (Round your answer to the nearest whole number.) x hr Need Help? i i i 1a. [112 Points] PREVIOUS ANSWERS SPRECALC7L6.027.MI. [ MY NOTES J [ ASK YOURTEACHER J [ PRACTICE ANOTHER This exerCIse uses Newton's Law of Cooling. A roasted turkey is taken from an oven when its temperature has reached 185\"F and is placed on a table in a room where the temperature is 79\"F. (a) If the temperature of the turkey is 1559F alter half an hour, what is its temperature after 45 min? (Round your answer to the nearest whole number.) x "F (b) After how many hours will the turkey Goal to lonnr? (Round your answer to one decimal place.) , hr Need Help? _ _ _ @ Dena 1:1600IU5V3 G we will use a spectrophotometer x Dashboard X VA Section 4.6 - MATH 19, section 6 x + X G A webassign.net/web/Student/Assignment-Responses/last?dep=29741500 GAO 11. [2/3 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise uses the population growth model. A grey squirrel population was introduced in a certain county of Great Britain 35 years ago. Biologists observe that the population doubles every 7 years, and now the population is 140,000. (a) What was the initial size of the squirrel population? 4375 squirrels (b) Estimate the squirrel population 10 years from now. (Round your answer to the nearest whole number.) 4480000 x squirrels (c) Sketch a graph of the squirrel population. (Assume t = 0 corresponds to the initial introduction.) n(t) n(t) 700 000 700 000 600 000 600 000 500 000 500 000 400 000 400 000 300 000 300 000 200 000 200 000 100 000 100 000 O 10 20 30 40 50 O 10 20 30 40 50 n(t) n(t) O Oct 18 1:16 0 1 USG we will use a spectrophotometer x Dashboard X VA Section 4.6 - MATH 19, section 6 x + X webassign.net/web/Student/Assignment-Responses/last?dep=29741500 SGAO 13. [3/4 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 4.6.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 24-mg sample. (a) Find a function m(t) = mo2-/h that models the mass remaining after t years. m(t) = 24 2 1600 (b) Find a function m(t) = moe " that models the mass remaining after t years. (Round your / value to six decimal places.) m(t) = 24e X (c) How much of the sample will remain after 4500 years? (Round your answer to one decimal place.) 3.4 mg (d) After how many years will only 16 mg of the sample remain? (Round your answer to one decimal place.) 935.9 yr Need Help? Read It Watch It 14. [-/1 Points] DETAILS SPRECALC7 4.6.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This avorrico ncac the radinartive dorav modal O Oct 18 1:16 0 1 US6 9 G _ 5 G * E' E (b) nd a function m(t) = rope\"? that models the mass remaining after t years. (Round your r value to six decimal places.) mm: 246 X (c) How much of the sample will remain after 4500 years? (Round your answer to one decimal place.) mg (d) After how many years will only 15 mg of the ample remain? (Round your answer to one decimal place.) 935.9 ,I yr Need Help? _ _ 14. [-11 Points] SPRECALC! 4.6.023. MY NOTES ' | ASK YOURTEACHER ' | PRACTICE ANOTHER This exercise uses the radioactive decay model. A wooden artifact from an ancient tomb contains 70% of the carbon714 that l5 present in living trees. How long ago was the artifact made? (The halfilife of carbon714 is 5730 years. Round your decay rate, r' to 6 decimal places. Then round your answer to the nearest whole number.) E yr Need Help? _ _ Save Assignment Progress @ 7' ' Dena 1:17oolusvl