# Find the magnitude of an earthquake with intensity 65,000,000

Question 1: (1 point) lf f and U are inverse functions anO /(3) : 0, what is g(0) e 3 {a) 0 (b) (“).”nnot be determined 5 (d) 8 {e} Question 2: (1 point) Choose any false statements regarding the graph. http : I I caurses.thinkwell. com/courses/ 1 645/exerci ses/6g 4590 ltake 8131201s UnitT Exam -g-s -4 4 L .-,, ;Q, + ‘-8 Select allthat apply. The oraoh is a function that does not have an inverce function. (a) {O)tn” graph passes the vertical line test. The oraoh is a one-to-one function. (c) The oraoh is a function. (d) (“)Th” graph passes the horizontalline test. The oraoh is a function that has an inverse function. (fl Page 2 of 11 s 6 4 2 Question 3: ({ point) lf the two functions are inverces, which of the following statements correctly verifies this? f (*) : fu# and s(r) : gt# Select all that apply. (alThe functions and are not inverses. http : I I cour ses.thinkwell. com/cou rsesl I 6 4 5 I exerci ses/68 4 590 I take 8/312015 UnitT Exam Page 3 of 11 \$ts{f(n)): dtu#l tcts(f(n)): s(ry) 5 ‘(“#)*’, @tf(s(n)): !(V#l: o ,(*y)*” (eu(g(u)) : 1sr#t- u(ry)”” : (r) tn” graphs of / and g are reflections over the lineg fr Question 4: (1 point) ldentify the graph of the inverse function of I if it exists. 4 6I .lt) 5 4 7. (a) http.//courses.thinkwell. com/cou rsesl T 645 I exerci sesl684 590 ltake 81312015 UnitT Exam The graph is a function that does not have an inverse function. (b) Page4of11 (c) {d} http ://courses.thinkwell. comlcoursesl | 645 / exerci ses/684 590 ltake Snt2ats Unit7 Exam Page5of11 -4 -A r-4 i:6 ‘*S s 6 4 Question 5: (1 point) Find the inverse or f (n) : ry, if it exists. Enter any noninteger coefficient as a fraction. lf there is no inverse, enter “none”. f-L(*) : (a) {b) Question 6: (1 point) Find the inverse or f(r) : J4n-20 , if it exists. Enter any noninteger coefficient as a fraction. lf there is no inverse, enter “none” The inverse function is /-1 @) : The domain of the inverse is: (alz > 0 http : //courses.thinkwell. com/cou rsesl | 64 5 I exerci ses/684 590 ltake 813/2015 UnitT Exam {b} (c) (d) all real numbers. r)5 n { -5 Page6ofll Question 7: (1 Point) lA/hich of the following are exponentialfunctions? Select allthat apply. 6,1f @) : n5r rntf.): (8)’ plf@):p glt@): o’8r+1 pyf @) :52r .-. .f (n) : (f)”‘- -(3)* 6,,f (*): *2 1ny/(‘) : (-3)’ Question 8: {1 point} Evaluate the exponential function f (n) : L2r http: I I cour ses.thinkwell. com/cou rsesl I 645 I exerci ses/68 4590 ltake 813l2Ar5 UnitT Exam Enter the exact answer. Do not enter a decimal approximation. Enter any radical, fractional terms, or factorc in simplest form. /(3) : f(-2) : f(+) : Page 7 of 11 Question 9: {1 point} A credit union client deposits \$4,300 in an account earning 2-5% interest, compounded annually. A/hat will the balance ofthe account be atthe end of30 years? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is \$0.61, only the number 0.61 should be entered’ Balance = \$_after30years. Question 10: ({ point) Complete the table for the function f (r) : 5er . lf the answer is not an integer, enter it either as a fraction or as a decimal rounded to the nearest hundredth, if needed. a f(r) 2 1 http :/lcourses.thinkwell. com/courses/1 645/exerci ses/6845 90/take 81312015 Unit7 Exam PageSofll Question 11: (1 point) A certain type of bacteria grows according to the function P(t) : 1,600e0 ‘L732t, where P(t) isthe number of bacteria present after f hours. Find the number of bacteria present after 7 hours. Enter the answer as an integer. Round to the nearest whole unit, if needed. The number of bacteria is Question 12: (1 point) Find the value of 1o95125. Iop.L2l = Question 13: {1 point} E Write 125 3 : 3,125 in logarithmic form. log5 125 : 3,L25 {a) 3 K (u)1o83’tz5L25 : ; 1c1iostz53 ‘r25 : * td) http ://courses.thinkwell. com/cou rsesl L 645 I exerci ses/684 590 I take 8/3/2A15 Page9of1l Unit 7 Exam 1e1io’tz5 * : z’.’n tog5 3,125 — L25 (f) 5 Question 14: (1 Point) Write }og2 L6 : 4 in exponential form’ ,,,#r;1r1*I : !25 16y24 : -16 “116 _ L (c)’ @f4 : 16 pf64 * z ALo (f) – -2 Question 15: (1 Point) Find the value of f”ef # ‘ roer * = http ://courses.thinkrvell. com/cou rsesl | 645 I exerci ses/684 590 ltake 813120r5 UnitT Exam Question 16: (1 point) Find the value of ,Iog7t4 ,Iog7L4 = Page 10of11 Question 17: (1 Point) Evaluate log L0-3 without using a calculator. lf the answer is not an integer, enter it either as a fraction in simplest form or as an exact decimal. log 1o-3 = – Question 18: (1 Point) Use a calculatorto evaluate (log 14)+(ln 20). lf the answer is not an integer, enter it as a decimal rounded to the nearest hundredth, if needed. (log 14)+(ln 20) = _ Question 19: (1 point) The Richter scale magnitude, B , of an earthquake of intensity.I is defined as R : * (t) , where -Ig is a small threshold intensity. Find the magnitude of an earthquake with intensity 65,000,000-19 lf the answer is not an integer, enter it as a decimal rounded to the nearest R, if needed’ maonitude : http : / / cour ses.thi nkwel l. com/cou rses/ 1 64 5 / exerci ses/ 684 590 I take 8/3/2015

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