Basic Math Questions and Answers

Exercise 8 5 2 Use the fact that AA I and Proposition 8 2 8 to solve for det A in terms of det A

Exercise 8 5 2 Use the fact that A A I and Proposition 8 2 8 to solve for det A in terms of det A

Question 14 f x z 3z 10 g x x 5 Find 4 x The domain of A 4 z is z 9

If f z z 7 g z f g h z 1 4 and h z 2 then

Select all true statements for why we use functions A Positronic data B Modularization C Testing D Troubleshooting F Re Use

ml 5 Three days prior to the final exam Mr Hobson develops tachycardia so severe that he seeks medical attention The ER doctor orders Proncstyl 300 mg IM stat The label reads Pronestyt 0 5 gm per ml How many ml will be given

4 The doctor orders Unipen 400 mg IM The medication is supplied as Unipen nafcillin sodium 1 gram in powder form Directions for reconstitution Add 3 4 mL of sodium chloride diluent for injection to yield 1 gram 4 mL How many mL will be given

1 In September Mr Hobson weighed 90 kg He gained 11 lbs since then How many kg does he weigh now

3 Mr Hobson tells his doctor that his nerves are shot The doctor prescribes Phenergan syrup 25 mg q6h prn The medication is supplied in a bottle labeled Phenergan syrup 6 25 mg per 5 mL How many mL should he take

2 Mr Hobson has been keeping track of the amount of caffeinated beverages he drinks in the evening because he has been been having difficulty sleeping Last night he had 1800 hrs 20 mL Pepsi 2000 hrs 8 oz Coffee 2200 hrs 6 oz Hot Chocolate How many mLs of caffeinated beverages did Mr Hobson drink

What law which based the decision of slavery on popular sovereignty the people decide through majority vote within the territory heightened tensions between slavery supporters and abolitionists because they hurried West to settle to gain control of the territory that ultimately resulted in fighting showed the failure of popular sovereignty This was the Land Ordinance Kansas Nebraska Act Compromise of 1850 Dred Scott Act

Political tensions and debates surrounded territorial expansion of the United States leading up to the Civil War because any new states joining the Union could change the sectional balance number of slave states vs number of free states in Congress States did not want to supply troops to new areas Many people disagreed with Manifest Destiny westward expansion Mexico kept control of Texas

Homework 11 Distribution Date 10 16 2023 Due Date 10 19 2023 1 Consider the falling head permeability test and determine the hydraulic conductivity of the soil cm min and the head difference at time t 5 min Length of the soil specimen 500 mm Area of the soil specimen 26 cm Area of the standpipe 1 3 cm Head difference at time t 0 760 mm Head difference at time t 10 300 mm 2 Find the flow rate in m s m at right angle to the cross section in figure 1 through the permeable soil layer Direction of flow H 5 m H 2 8 m h 3 1 m L 60 m x 5 k 0 05 cm s H H h Impervious layer Impervious layer L

7 19 Expected selling for 1 371 The coupon mature in 21 years What is the yield to mat yield pay 7 20 Expected rate of return and current yield Citigroup issued bonds that p 1 076 What would be your expected rate of return yield to maturity if you boug 5 5 percent coupon interest rate The bonds mature in 5 years They are selling f ed rate of return Zenith Co s bonds mature in 12 years ar urchase the bonds for 1 150 what is yo the bonds What would the current yield be

7 11 Bond valuation Kyser Public Utilities issued a bond with a 1 000 par v that pays 30 in annual interest It matures in 20 years Your required rate of return value is 4 percent a Calculate the value of the bond b How does the value change if your required rate of return 1 increases to 7 percent or 2 decreases to 2 percent c Explain the implications of your answers in part b as they relate to interest rate risk premium bonds and discount bonds d Assume that the bond matures in 10 years instead of 20 years Recompute answers in part b your e Explain the implications of your answers in part d as they relate to interest rate risk premium bonds and discount bonds

b Determine the va c Should you sell the bond or continue to own 7 4 Bond valuation Calculate the value of a bond that will mature in 14 ye has a 1 000 face value The annual coupon interest rate is 5 percent and the in At the beginning of the year you bought a 1 000 par va 10 year maturity date required rate of return is 7 percent

O Macmillan Learning Find the reference angle in radians associated with an angle of 14 radians Express numbers in exact form Use symbolic notation and fractions where needed reference angle

Problem 1 For each case find the arc length and the area of the sector of the circle having the radius and central angle 0 2 T 3 b Radius is 6 cm 0 135 a Radius is 9 in 0

An electric motor with a rated output of 10HP is connected to a 600v 3 phase circuit If the motor draws 12A and 10kW determine a The power factor of the motor a P VI 6 b The reactive power drawn P jQ HE 500X 12A Ces 7200 Ross

Macmillan Learning 5 Find the reference angle in radians associated with an angle of 8 Express numbers in exact form Use symbolic notation and fractions where needed 5 reference angle 8 radians

Question 7 Learning Outcome A short circuit test at full rated current is done on a single phase 25 transformer with voltage of 24v applied to the low voltage winding and the short on the high voltage winding Determine the series reactance of the transformer reflected on the high voltage side assume the series resistance of the transformer to be negligib

leading powe Question 5 Learning A balanced load draws 25kW at a rmine the current being drawn

15 ft 18 ft 8 ft d boqada

24 in 17 in 7 in

Inputs of a MP Inputs of b MP 25 1 40 36 32 24 20 16 8 1234567 20 2 15 3 10 4 5 5 5 26 17 The table gives marginal product data for resources a and b The output of these independent resources sells in a pu competitive market at 1 per unit Assuming the prices of resources a and b are 5 and 8 respectively what is the maximizing combination of resources O 7 of a and 7 of b O 5 of a and 7 of b

24 in 25 in

The figure below depicts the market for loanable funds in the United States at equilibrium at point A During periods of global economic turmoil investors from across the world seek safe investments for their money The United States has typically been the destination for this money Assume that the rest of the world is undergoing a financial crisis that has not affected the U S economy How would this event affect the market for loanable funds in the United States Shift the appropriate curve to depict your answer To refer to the graphing tutorial for this question type please click here S CO Interest rate 16 15 14 13 12 11 10 9 8 7 2 1 2 9 10 S1 DI 12 13 36 Savings and

Consider a home mortgage of 200 000 at a fixed APR of 3 for 30 years Complete parts a through c belov a Calculate the monthly payment The monthly payment is 843 21 Do not round until the final answer Then round to the nearest cent as needed b Determine the total amount paid over the term of the loan The total amount paid over the term of the loan is Round to the nearest cent as needed

You have just taken a job at a bank in the loans department Your bank is worried about the current economic climate and its potential to limit the real rate of interest the bank will earn on new loans The head of the department asks you to determine the proper nominal rate of interest to ensure a 4 real rate of interest and tells you that the current inflation rate is 2 You suggest a nominal interest rate of

If time preferences of U S consumers weaken then we can expect which of the following to increase Select all that apply Choose one or more DA supply of loanable funds B demand for loanable funds C level of investment D interest rates

Harry expect an inflation rate of 4 1st attempt Part 1 1 point The expected real interest rate on the loan is Part 3 2 points erest rate of 9 When she borrows the money both she and Part 2 1 point Suppose that when Sally pays back the loan after one year the actual inflation rate turns out to be 3 The actual real interest rate on the loan is See Hint a If the inflation rate turned out to be higher than expected then Sally is bette Sally is better off and Harry b But if inflation turned out to be lower than expected then Sally is is worse off See Hint See Hint

At a restaurant 42 people were asked in a survey if they eat meat fish or both Of those adults 10 only eat meat 14 only eat fish and 7 eat both How many people eat meat How many do not eat meat How many people eat fish How many do not eat fish How many do not eat either one

Question 8 The function h z x 7 2 can be expressed in the form f g x where f x 2 and g x is defined below Question Help Video

Question 5 If x x 4 g x x 7 and h z then f g h r

Use the graphs to evaluate the expressions below 0 0 f xx 5 4 3 2 1 f g 2 g f 3 f f 5 g g 4 2 3 4 1000 5 X 3 2 1 X

This question 1 point s possible Assuming that we are drawing five cards from a standard 52 card deck how many ways can we obtain a straight flush starting with a seven 7 8 9 10 and J all of the same suit There are ways to obtain a straight flush starting with a seven Submit quiz

Question 4 Find the average rate of change of g n 8a 9 04 on the interval 3 4

A commuter train carries 2000 passengers daily from a suburb into a large city The cost to ride the train is 7 00 per person Market research shows that 40 fewer people would ride the train for each 0 10 increase in the fare and 40 more people would ride the train for each 0 10 decrease If the capacity of the train is 2600 passengers and contracts with the rail employees require that at least 1600 passengers be carried what fare would the railway charge to get the largest possible revenue R x Revenue Let x represent Therefore and R x represents the of passengers represents the fare passenger

A lighthouse L is located on a small island 4 km west of point A on a straight north south coastline A power cable is to be laid from L to the nearest source power at point B on the shoreline 12 km north of point A The cost of laying c under water is 6000 km and the cost of laying cable along the shoreline is 2000 km To minimize the cost the power line will be built from L underwat point C on the shoreline and then along the shoreline from C to B Find the loc of point C to the nearest metre on the shoreline where the power cable shoul enter the water represents the distance the amount of cable laid underwater represents the distance the amount of cable is laid on shore

In strategy games in addition to the common 6 sided dice dice having 4 8 12 or 20 sides are also used Determine the number of possibilities if the 4 sided die is rolled and then the 10 sided die is rolled There are possibilities when the two dice are rolled Type a whole number

questions a and b digital studio plano OA over 36 hours OB over 17 hours C over 18 hours OD over 1 024 hours nes that can be set in either the on CIX a In how many different ways can this group of switches be set different ways b If it takes 2 minutes to set the switches and test to see if the interface is working properly what is the longest possible time that it would take to find the proper settings by trial and error Choose the correct answer below

Liquid A is known to have a lower viscosity and lower surface tension than Liquid B Use these facts to predict the result of each experiment in the table below if you can experiment Liquid A and Liquid B are each pumped through tubes with an inside diameter of 11 0 mm and the pressures PA and PB needed to produce a steady flow of 4 2 mL s are measured Wax coated particles carefully put onto the surface of Liquid A or Liquid B will stay on the surface if the particles are small enough and mB The heaviest mass of particle m that will stay on each liquid s surface without sinking are measured predicted outcome OPA will be greater than PB OPA will be less than PB OPA will be equal to PB It s impossible to predict whether PA or PB will be greater without more information OmA will be greater than mB Om will be less than mB OMA will be equal to mB It s impossible to predict whether m or MB will be greater without more information X

K How many two element subsets can we choose from a five element set Use row 5 of Pascal s triangle to find the answer The number of different subsets of size 2 for a set of 5 elements is G

You are buying a triple deck ice cream cone with chocolate chip raspberry banana fudge and vanilla bean as possible flavors The flavors can be repeated or not Consider two cones to be different if the flavors are the same but occur in different order How many different cones are possible There are possible triple decker cones given the number of flavors Type a whole number L

You are taking a multiple choice test that has 8 questions Each of the questions has 5 answer choices with one correct answer per question If you select one of these choices for each question and leave nothing blank in how many ways can you answer the questions You can answer the questions in ways

P 10 3 ling of the following symbol Choose the correct answer below GILB OA P 10 3 indicates a counting permutation formed by selecting ten different objects from a set of three available objects O B P 10 3 indicates a counting permutation formed by selecting three different objects from a set of ten available objects OC P 10 3 indicates a counting combination formed by selecting ten different objects from a set of three available objects OD P 10 3 indicates a counting combination formed by selecting three different objects from a set of ten available objects

7 Selected values for 4 polynomial functions are given below Which of the following could represent an even function with a degree of 6 I 3 opposite pairs of x values coon add A T F 22414 1 3 22 f z B I 3 70 f x 76 5 2244 47044 3 D 2 9 3 5 4 I 0 2 4 TORGHAN f x 18 18 2 18 18 76 604 0 1

In how many ways can 9 people be seated in 9 adjacent seats in a theater There are ways to seat 9 people in a theater Type a whole number

2 2 Convert the following instantaneous currents to phasors using cos cor as the res ference Give your answers in both rectangular and polar form a f t 400 2 cos cot 30 b f 1 5 sin cot 15 c f t 4 cos cor 30 5 2 sin cor 15

Question 3 Find the average rate of change of g z 32 3 from z 2 to z 4 Question Help Video