Complex numbers Questions and Answers

Add and simplify the rational expression M 6 m 9 m 9 O O m2 2 M 3 m 2 m 3 m 6m 9 m m 2 12 3 M 3 M 3 m 3 3

Solve the following equation for pr P 1 Just put a single number in the blank below for the correct value of p

3 Use your calculator to evaluate each trigonometric ratio Round to a sin 40 b cos 54 c tan 82 d tan 46 e sin 17 1 f cos 76

Buck drove 300 miles in the same time it took Hines to drive 220 miles If Buck drove 10 mi h faster than Hines how fast was Hines driving 27 5 mi h 45 8 mi h 50 1 mi h 52 2 mi h 210 milles 300 miles

Which sampling technique is used if a researcher randomly selects and interviews 40 male and 40 female teachers at a given university Random Stratified Cluster Convenience

6 The population of a town is 4 200 and is increasing at a rate of 3 per year Find the function after 6 month

Which graph shows the correct asymptotes associated with the function 2x 8 3x 10 2 3 25

8 An internet chat room has 1200 participants and is decreasing at a rate of 2 per year Find the function af 5 years

5 S 15 Let u 1 1 2 U 1 1 3 uz 3 1 1 are three vectors Find expansion of the vector v 3 2 4 via vectors u U2 U3 6 S 10 Solve the following system by determinant methods Cramer s Rule 2 3 1 2x1 x2x3 2 1 22 23 1

Type answer rounded to the nearest mph with one space between the number and the units For example 301 mph 89 mph Help Lecture 84 Ex 84 4 11 NASCAR If the standard NASCAR tire is 28 inches in diameter and they were rotating at a rate of 2 500 rpm what was the speed of the car in miles per hour mph Round to the nearest mph Hint You will need to convert inches to miles and minutes to hours BA

the absolute value of 2 3i ct one a 5 b 6 C 13 3 5

Find the exact value of each logarithm by using the change of base formula a log 8 b log 27 c log 16 d log 1000 e logs f log6 36 g log2 3 2 h In i log 7 j log 10 k In Ve 1 log V9 m logs n In o log 100 p log2 8

13 3 Which of the following is the symbolic form of the piecewise function shown which represents the back and pectoral fins of a male humpback whale pointed nose downward and singing loudly 2017 photo by Dr Shormann 2x 4 4 x 2 A f x 156x4 2 5 2 x 2 x 2 2 x 5 x 4 4 x 2 C f x 156x 2 5 2 x 2 x 2 2 x 5 elect one A BUD 2x 4 4 x 2 B f x 156x 2 5 2 x 2 X 2 2 x 5 2x 4 4 x 2 D f x 156x 2 5 2 x 2 X 2 2 x 5

Help Lecture 87 Ex 87 2 Ex 87 3 For the Fibonacci function F x what is the minimum positive value of x for wh F x 2 87

log 3 log 3 12 X X 4 12 X X 4 X 4 Simplify your answer

power plant L N Length underground in miles 12 x Length underwater in miles Minimal cost in dollars 7328 2 offshore facility x T D power line is to be run to an offshore facility as shown in the figure above The offshore facility is D 4 miles at sea and L 12 miles along the shoreline from the power plant It costs 450 per mile to lay a power line underground and 700 per mile to run the line underwater How much of the power line should be run underground and how much underwater to minimize the overall costs help numbers

136g Is y arccos x a function or a relation If it is a function write the domain and rang using interval notation Select one relation relation domain 0 range 0 function domain function domain 0 2 range T 0 range 0 0

447 Taylor has enough money to buy either 90 granola bars or 78 pop tarts After returning from the store Taylor has no money 75 granola bars and p pop tarts Assuming that Taylor has not yet eaten anything figure out what p is

Solve the equation 4y 7 1 7 8 56 and check your proposed solution Begin by rewriting the equation without fractions Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Type an integer or a simplified fraction OB The solution set is yly is a real number OC The solution set is the empty set

Homework Part I Find each function value and f x 4x 6 9x 4 A f 10

work Part I Find A the leading term of n x 14 6 57

Find the limit if it exists lim x x 3 x 3

K Find the indicated limit lim 7x 4 X 9 Select the correct choice beld

K X If 7 4 3 evaluate x x X Type an integer or a simplified fraction

Determine whether the given ordered pair is a solution of the system 1 3 y 6x 9 3x 6y 15 Is 1 3 a solution of the system O Yes O No

Find the slope of the line between the points 3 1 and 9 14 5 Find the equation of the line with a slope of 0 02 that contains the point 14 200

10 8 6 4 2 10 m b 8 6 4 2 2 6 8 10 Find the values of m and b 2 4 6 8 10 o Enter your answers as integers and or as reduced fractions in

Solve the right triangle with A 37 6 and b 13 6 inches Use degrees for the angles and if necessary round all answers to 3 decimal places 1 A 37 6 2 B 3 C 90 4 a 5 b 13 6 inches 6 C inches inches

9 The figure below is an isosceles trapezoid If the two congruent sides were extended beyond the 20cm side you would create an isosceles triangle What is the area of this isosceles triangle to the nearest tenth 5cm 20cm 38cm 15cm

What is the area in square inches of the shaded part of the rectangle shown bela 12 in A 7 B C 42 77 1 2 in 7 in

G What happens after Tybalt ki 1 point A linear function is represented on the coordinate g

point ngle PSV is shown on the coordinate grid The coor

The window is 20 inches tall at its highest point and 80 inches wide at the bottom Find the height of the window 25 inches from the center of the base

anging log3x 2 logaa a log to an exp function and back log x 2 log1 In e In x 2

1 0 10 Basic Parent Function for Exponential Function logax f x where a 0 and a 1 Domain 0 00 Vertical Asymptote at x 0 x intercept is 1 0 15

Write as a single log3 4x y lo

Match each of the power series with its interval of convergence 1 n 8x 8 8 2 3 IM8 M8 M8 M8 x 8 n 8 n A 8 8 B 0 16 C c D 0 00 8x n8 x 8 4 8 n 1

or units out referring to any of the tabl symbol is

Julie saved 105 coins from her daily allowance If the coins consist of 5 peso coins and 10 peso coins amounting to 950 how many of each coin did she have

Drag the point M below to the midpoint of the points 7 4 and 0 5 shown below Provide your answer below 7 4 5 5 0 M 0 5 5

Write the given expression as a single logarithm 2 log 2x 3 log x 1 Simplify if possible Note As a reference consider using the Power Property plog M log MP Provide your answer below

Question 13 Question 14 O Question 15 Question 16 Question 17 a Sir b Si

ill in the blank he name commonly used for the Syst me inte

A 1 4 Find a unit vector x whose first component is positive at which Ax has maximum 1 Enter the components of x in order into the answer box below separated with a c

2 Sketch the graph of the quadratic function y x 10x 24 a Find the x intercepts by factoring and using the Zero Product Property product sum x intercepts 0 and b Find the y intercept 0 c Find the vertex Remember to find the x value of the vertex add the x intercepts together and divide by 2 to find the y value of the vertex plug the x value you just found back into the equation and solve for y 0 vertex d Plot the x and y intercepts and vertex to sketch the graph of the parabola

Fill in the blanks a The freezing point of water in the me b The boiling point of water in the met c Normal body temperature in the me a The freezing point of water in the metric b The boiling point of water in the metric s c Normal body temperature in the metric s

Convert the quantity to th 57 kg to lb

Solve the equation for x where x is restricted to the given interval X y 3 5sin x for x in 2 2

Convert 12 6 ft per gallon to square meters per lit

Graph the system of inequalities from the given problem and list the corner points of the feasible region Verify that the corner points of the feasible region correspond to the basic feasible solutions of the associated e system X X 9 X 6x 24 X X 20 Click the icon to view the table of basic solutions Use the graphing tool to graph the system Click to enlarge graph List the corner points of the feasible region CO Type an ordered pair Use a comma to separate answers as needed Verify that the corner points of the feasible region correspond to the basic feasible solutions of the associated e system The basic feasible solutions of the associated e system are These solutions X2