MATH HELP NEEDED (FINAL ANSWERS TYPED ASWELL) SO LOST

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Explain how the following functions can be obtained from y = * by basic transformations. Complete parts (a) through (c) below. (@)y=e*+4 (Type a whole number.) Explain how the following functions can be obtained from y = In x by basic transformations. Complete parts (a) through (c) below. . . . (a) y = In (x - 8) Shift y = In x unit (s) (Type a whole number.)Explain how the following functions can be obtained from y = sin x by basic transformations. Complete parts (a) through (c) below. . . . (a) sin (RX) y = sin x by a factor of (Simplify your answer.)Find the following numbers on a number line that is on a logarithmic scale (base 10): 0.002, 0.02, 3, 7, 10, 70, 3000, 7000, and 60000. Choose the correct number line below. () B. 3 2 1 0 1 2 3 4 5 () C. 1073 102 10" 10 10" 102 10 10* 10 () D. 0 60000 Complete parts (a) though (c) below. _ - (a) Find the following numbers on a number line that is on a logarithmic scale (base 10): 107, 109, 102, 10_7, and 10", Choose the correct answer below. 0 1000000000 The longest known species of worm in a particular region measures 6.8 m. The shortest known species of worm in the same region measures less than 0.12 mm in length. Convert both measurements to millimeters. The longest known species of worm measures |:| mm. The shortest known species of worm measures D mm. (Type integers or decimals.) A species of shrew is by weight the smallest mammal in the world, weighing 1.3 g on average. By comparison, the largest mammal in the world is a species of whale that may weigh as much as 189 tonnes (189 x 10 kg). () Express the weight of both mammals in grams. The shrew weighs |:| g. The whale weighs |:| g. (Type integers or decimals.) The diameter of a typical bacterium is about 0.9 to 1.9 pm. An exception is Bacterium X, which is about 600 pm long and 90 pm wide. How many orders of magnitude is the volume of Bacterium X larger than the volume of a typical bacterium? (Hint: Approximate the shape of a typical bacterium by a sphere and the shape of Bacterium X by a cylinder.) (@) What is the volume of a typical bacterium? Between |:| |.1m3 and D pm3 (Type an integer or decimal rounded to four decimal places as needed. Use ascending order.) Solve the system of equations by graphing. 2x - 3y = - 6 y= - 3x + 2 6- . . . do Use the graphing tool to graph the system. Click to enlarge 20 16 12 -8 T-4 16 graph 20Solve the system of equations by graphing. 2x - y = 2 4x - 2y = -4 . . . Use the graphing tool to graph the system. Click to -10 -8 -6 -4 -2 4 6 enlarge graph 10Solve the system by graphing. 3x+y=4 Bx+2y=8 Use the graphing tool to graph the system. - Click to - enlarge graph Solve the system of equations by graphing. ! 7 = - x+ y 5 X 7x-4y= 56 Use the graphing tool to graph the system. . Click to enlarge graph Solve by the substitution method. 7x+8y=43 Xx=13- 2y - o Select the correct choice below and, if necessary, fill in the answer box to complete your choice. () A. The solution set of the system is { } (Simplify your answer. Type an ordered pair.) () B. There are infinitely many solutions. () C. The solution set is the empty set. Solve the system by the substitution method. 4y= -4 -2x X+2y=-2 _ & Select the correct choice below and, if necessary, fill in the answer box to complete your choice. () A. The solution set of the systemis { }. (Simplify your answer. Type an ordered pair.) () B. There are infinitely many solutions. () C. The solution set is the empty set. Solve by the elimination method. 5x= -4y 7x4y=-96 - Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ) A. The solution set of the system is { }. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. C. The solution set is the empty set. Solve the system by the elimination method. 135x + 45y = -7 81x - 75y = 11 . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set of the system is (Simplify your answer. Type an ordered pair.) O B. There are infinitely many solutions. O C. The solution set is the empty set.Solve. Write the solution as an ordered triple. Select the correct choice below and fill in any answer boxes x+ y+ z =5 within your choice. 2x + 4y + 2z = 12 - x + 8y - 3z = - 6 O A. There is one solution, (Type exact answers in simplified form.) O B. The system is dependent. O C. There is no solution.Complete the ordered triple. Write the solution as an ordered triple. Select the correct choice below and fill in any answer boxes 7x - y+ z = -27 within your choice. 4x + 2y - 3z = -15 X - 3y + 2z = 2 O A. There is one solution, (Type exact answers in simplified form.) O B. The system is dependent. O C. There is no solution