answer a 20 questions ( please and kindly do on paper please it easy to understand)

Rewrite the expression 2log x - 4 log(2 + 1) + 2 log(x - 1) as a single logarithm. Question 11 5 pts 9 1 Solve the right triangle shown in the figure. Answer in degrees. Round all answers to the nearest tenth. Show complete work on worksheet! a = 25m., c = 45 m. B C C A b B= Select an answer v b= Select an answer v A= Select an answer v . Question 12 5 pts 9 1 sec 270 equals * Enter DNE for undefined *** . Question 13 5 pts 9 1 Compute the exact value of each of the following. (Type sqrt(2) for v2 and sqrt(3) for v3.) in 197 cos 197 . Question 14 5 pts O 1 150 = radians . . Question 15 5 pts O 1 The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.82080-358, where x = 0 corresponds to 1998. In what year did/will the exports reach $7.5 billion? Give your answer as the year, with at least one decimal placeWhich of the following is equivalent to p = logx r? Oh = rP Or = p O k = p' Op = k OK = T Or* = P Question 6 5 pts 9 1 Write the following logarithmic equation in exponential form logs (5) = 1 . Question 7 5 pts 9 1 radians = . Question 8 5 pts 9 1 Plot the point(s) where sec 0 = _ 2V/3 3 Question 9 5 pts 9 1 The pH scale for acidity is defined by PH = - log H+ where [H ] is the concentration of hydrogen ions measured in moles per liter (M). a) A sample of nectarine is found to have a hydrogen concentration of 0.0000794 M. What is the pH? PH= b) The pH of a sample of watermelon is 5.5. What is the hydrogen concentration? [H+ ] = . Question 10 5 pts 9 10 Question 1 B 5 pts '0 1 A 2B-ft ladder leans against a building so that the angle between the ground and the ladder is 83 U. How high does the ladder reach on the building? Round to the hundredths. (2 decimal places] 0 Question 2 B 5 pts '0 1 Rewrite the Following in exponential form: a) 1039(729) = 3' b] log(424) = a: c)].u(2:): 2l 0 Question 3 E 5 pts '0 1 Find the domain and range for the following exponential iunction. 1 w f(m):()-2 2+6 a) Record the horizontal asymptote below. Be sure to record you answer as y = #. b) Record the domain below using interval notation. cl Record the range below using interval notation. 0 Question 4 E 5 pts '0 1 The half-life for thorium-22? is 18.72 days. The amount A (in grams) of thorium-227 aftert days for a 10- gram sample is given by An) = 10 - new How long will it take before 3 grams of thorium-22? is left in the sample? Round your answer to the hundredths place, days . Question 5 B 5 pts '0 1 . Question 16 5 pts '9 1 The half-life of strontium-90 is 28 years. How long will it take a 72 mg sample to decay to a mass of 18 mg? Your answer is years. Question 17 5 pts 1 Plot the point(s) where cos 0 = - 1 . Question 18 5 pts 9 1 sin 1350 equals * Enter DNE for undefined *** . Question 19 5 pts 9 1 Use the Laws of logarithms to rewrite the expression in a form with no logarithm of a product, quotient or power. . Question 20 5 pts 9 1 Compute the exact value of each of the following. (Type sqrt(2) for v2 and sqrt(3) for v3, or DNE for Does Not Exist.) sin(210 ) = cos (210 ) = tan(210 ) =