Math - Others Questions

e table shows the worldwide box office in billions of dollars for the movie industry ing the years shown Year 2000 2002 2004 2006 2008 Box office in billions of dollars 22 1 24 5 25 7 26 8 28 5 a Write this paired data as a set of ordered pairs of the form year box office What is the ordered pair that corresponds to the first row of data given in the table Type an ordered pair

At B R K Match each equation with a graph above log x ex 10 In x a red R b green G c blue B d black K

0 10 pts 3299 Details Find the equation of the vertical asymptote f x log x 5

0 10 pts 399 Details If ln x ln x 5 ln 3x then x

10 10 pts 399 Details For what value of x is the following true log x 14 log x log 14 Your answer is X You may enter the exact value or round to 4 decimal

0 10 pts 399 Details Find the largest value of x that satisfies log x log4 x 4 7 X You may enter the exact value or round to 4 decimal

0 10 pts Solve for x log x log x 3 9 8 Details

Find the mean median and mode for the set of numbers If necessary round the mean to one decimal place 297 234 579 106 612 334 269 542 Find the mean Select the correct choice below and if necessary fill in the answer box to complete your choice A The mean is 371 6 Type a whole number or decimal rounded to one decimal place as needed Use a comma to separate answers as needed OB There is no mean Find the median Select the correct choice below and if necessary fill in the answer box to complete your choice OA The median is Type a whole number or decimal rounded to one decimal place as needed Use a comma to separate answers as needed B There is no median

pts If log 4x 4 4 then x You may enter the exact value or round to 4 decimal places

For the given set of numbers find the mean the median and the mode If necessary round the mean to one decimal place 0 3 0 4 0 6 0 7 0 7 1 0 0 3 0 8 1 2 The mean is Round to one decimal place as needed

Find the grade point average Assume that the grade point values are 4 points for an A 3 points for a B and 2 points for a C 1 point for a D and 0 points for an F The grade point average is Round to the nearest hundredth as needed Grade Credit Hours B CAC 2 2 3 3

Listed below are the top 10 annual salaries in millions of dollars of TV personalities Find the a mean b median and c mode for the given sample data in millions of dollars 38 2 35 4 34 6 27 8 15 4 13 12 8 10 2 9 2 8 1 a The mean is Type an integer or a decimal b The median is Type an integer or a decimal c Select the correct choice below and fill in any answer boxes in your choice A The mode is Use a comma to separate answers as needed OB There is no mode

In a mathematics class the following test scores were recorded for a student Find the median 74 83 79 62 65 73 The median is Round to one decimal place as needed www

Ten buildings are listed in the following table Find the median height of the eight tallest buildings Building Height in feet Building 1 2711 Building 2 1974 Building 3 1663 Building 4 1612 Building 5 1586 Building Building 6 Building 7 Building 8 Building Building 10 The median height of the eight tallest buildings is feet Type a whole number or decimal rounded to one decimal place as needed Height in feet 1483 1483 1478 1455 1447

0710 pts 4x 17 thon Details

0 10 pts 3299 Details Use the like bases property and exponents to solve the equation 10 n 2 108n 3

0 10 pts 399 Details Which of the following are equivalent to log 2 Choose all that apply Olog 18 log 9 1 O log 8 10 logo 20 Olog O Logs 1 2 1 O logb 4

x 4y20 28 Write expression log logarithms with no exponents Simplify your answer completely 1420 as a sum or difference of

0 10 pts 3299 Details Write the following as the sum and or difference of logarithms Assume all variables are positive log 8c 6 The answer format in lowercase characters is log number Spaces in the answer are optional

0 10 pts 399 Details Write the following sum as a single logarithm Assume all variables are positive log3 c log3 c 3 The answer format in lowercase characters is log base number

0 10 pts 399 Details Simplify the following into a single logarithm 5 log 4 3 log x Olog 5 4 3x 45 Olog 5 Olog 5 4 x 3 Olog 45 O log 534

0 10 pts 3299 Details Simplify without a Calculator

Write the first five terms of the geometric sequence Find the common ratio r and write the nth term of the sequence as a function of n a 16 ak 1 ak a 3 a3 34 35 r an

What is the value of ZA A 16 4 B 19 1 C 32 8 4 5 cm 8 5 cm A T 9 5 cm

0 10 pts 399 Details Express the following equations in logarithmic form a 3 9 is equivalent to the logarithmic equation b 10 2 0 01 is equivalent to the logarithmic

0 10 pts 399 Details Express the equation in logarithmic form a e 3 is equivalent to In A B Then A and B b e C and D x is equivalent to In C D Then

0 10 pts 399 Details Evaluate the following expressions Your answers must be exact and in simplest form a ln e b eln2 3 c en 4 1

0 10 pts 3299 Details Evaluate using your calculator giving at least 3 decimal places Jog 810

0 10 pts 399 Details Find the logarithm log 1 100 000

0 10 pts 2 99 Find the logarithm log 5 11 Details

0 10 pts 399 Details Find the logarithm 1 log4 256

9 17 Weighted average cost of capital ABBC Inc operates a very successful chain of needs to raise funds for its planned expansion into the Northwest The firm s balance yogurt and coffee shops spread across the southwestern part of the United States and sheet at the close of 2015 appeared as follows Cash Accounts receivable Inventories Net property plant and equipment Total assets 2 010 000 4 580 000 1 540 000 32 575 000 40 705 000 Long term debt Common equity Total debt and equity 8 141 000 32 564 000 40 705 000 times its book At present the firm s common stock is selling for a price equal to value and the firm s investors require a 15 percent return The firm s bonds command a yield to maturity of 8 percent and the firm faces a marginal tax rate of 21 percent At the end of the previous year ABBC s bonds were trading their par value a Describe ABBC s capital structure b What is ABBC s weighted average cost of capital c If ABBC s stock price were to rise such that it sold at 3 5 times its book value and the cost of equity fell to 13 percent what would the firm s weighted aver age cost of capital be assuming the cost of debt and tax rate do not change d Thought exercise Historically ABBC has owned each of its yogurt shop stores The firm s new CFO has asked you to consider the potential effect on the firm s cost of capital if it were to sell the stores to a real estate investor with an agreement to lease them back i e rent them No computations required

0 10 pts 399 Details Solve for x log 27 3 m

0 10 pts 399 Details

150 Which graph is a solution for A B C D x 2y 24 xZ4

A steady flow compressor is used to compress helium from 15 psia and 70 F at the inlet to 200 psia and 600 F at the outlet The outlet area and velocity are 0 01 ft and 100 ft s respectively and the inlet velocity is 55 000 ft s Determine the mass flow rate and the inlet area The gas constant of helium is R 2 6809 psia ft lbm R Ibm s Round the final answer to five decimal places ft2 Round the final answer to three decimal places The mass flow rate is The inlet area is

Determine the parent function from which the graph of the function shown below can be otained Next identify each transformation that can be applied to the parent function in order to obtain the graph of the function shown below 5 g x a Choose the correct parent function 6 y 1 Oy 5 6 Oy logg x Oy logs x b Choose the correct transformation Reflections Select an answer c Choose the correct transformation Stretches Compressions Select an answer d Choose the correct transformation Vertical Shifts Select an answer e Choose the correct transformation Horizontal Shifts Select an answer

Function g x 23x 160 p t 230 1 15 f x 26x100 h x 60 0 9 d y 5 2 Question Help Worked Example 1 Type and Behavior Select an answer Select an answer Select an answer Select an answer Select an answer Video Select an answer Select an answer Select an answer Select an answer Select an answer

3 to K Q All the graphs above have equations with form y abx Which graph has the greatest value for b Select an answer Which graph has the least value for b Select an answer Which graph has the greatest value for a

0 10 pts 3299 Details Starting with the graph of f x 2 write the equation of the graph that results from a shifting f x 3 units right y b shifting f x 7 units upward Y c reflecting f x about the x axis and the y axis Y

0 10 pts 399 Details The graph of the function f x 8 can be obtained from the graph of g x 8 by one of the following actions a shifting the graph of g x to the right 8 units b shifting the graph of g x to the left 8 units c shifting the graph of g x upward 8 units d shifting the graph of g x downward 8 units e reflecting the graph of g x in the x axis f reflecting the graph of g x in the y axis Your answer is input a b c d e or f Is the domain of the function f x still Your answer is input Yes or No The range of the function f x is A the value of A is

0 10 pts 399 Details Starting with the graph of f x 3 write the equation of the graph that results from a reflecting f x about the x axis Y b shifting f x 4 units right Y c shifting f x 6 units upward Y

Air enters the compressor of a gas turbine plant at ambient conditions of 100 kPa and 25 C with a low velocity and exits at 1 MPa and 347 C with a velocity of 90 m s The compressor is cooled at a rate of 1500 kJ min and the power input to the compressor is 250 0 KW Determine the mass flow rate of air through the compressor The inlet and exit enthalpies of air are 298 2 kJ kg and 628 07 kJ kg Round the final answer to three decimal places The mass flow rate of air is kg s

Steam enters an adiabatic turbine at 8 MPa and 500 C at a rate of 3 200 kg s and leaves at 10 kPa If the power output of the turbine is 2 5 MW determine the temperature of the steam at the turbine exit Neglect kinetic energy changes Use data from the steam tables The temperature of the steam at the turbine exit is C

A heat engine has a heat input of 3 x 104 Btu h and a thermal efficiency of 40 0 percent Calculate the power it will produce in hp Source 3 x 104 Btu h HE Sink th The power produced is hp

Given the Initial Value and Rate of Change write the exponential function for each of the following Initial Value 153 68 136 189 53 Rate Growth Rate 28 Growth Rate 6 Growth Rate 7 5 Growth Rate 114 Decay Rate 20 f x f x f x f x f x Function

A food freezer is to produce a 4 000 kW cooling effect and its COP is 1 3 How many kW of power will this refrigerator require for operation The amount of power required is kW

At a movie premiere the moviegoers were asked whether they liked or did not like the movie Of the 100 adults asked 74 said they liked it Of the 25 teenagers asked 17 said they liked it Fill in the blanks below to make the statement the most reasonable possible At the movie premiere choose one moviegoers enjoyed the movie more because liked the movie whereas only of the choose one moviegoers liked the movie

According to the Mini Lesson which of the following are steps that should be taking when Writing Exponential Functions Check all that apply Identify the initial value This is the a part of the exponential equation y ab Identify the common ratio b value To do this make a fraction of two consecutive outputs as long as the inputs are separated by exactly 1 Enter the data into your calculator using Stat Edit Then run an Exponential Regression to determine the base b and initial value a Plug in the values of a and b into y ab to write the exponential equation Replace y with appropriate notation as needed to identify a requested exponential FUNCTION Determine the Average Rate of Change by calculating 92 91 X2 X1 rate to determine the growth or decay

Given the Initial Value and Rate of Change write the exponential function for each of the following Initial Value 131 626 2166 2233 2996 4924 Rate Growth Rate 16 Growth Rate 6 Growth Rate 7 5 Growth Rate 116 Decay Rate 26 Decay Rate 3 f x f x f x f x f x f x Function