# Mathematical Induction Questions and Answers

Math - Others
Mathematical Induction
Math - Others
Mathematical Induction
Enter an ordering on the atomic subformulae of the following formula P P V Q Enter an ordering
Math - Others
Mathematical Induction
apter 4 Compression Members 4 9 5 A column for a multistory building is fabricated from ASTM A588 plates as shown in Figure P4 9 5 Compute the nominal axial compressive strength based on flexural buckling do not consider torsional buckling Assume that the components of the cross section are connected in such a way that the section is fully effective my 2 3 2 8 12 1 1
Math - Others
Mathematical Induction
2 7 A 3400 lb car is traveling in third gear overall gear reduction ratio of 2 5 to 1 on a level road at its top speed of 130 mi h The air density is 0 00206 slugs ft The car has a frontal area of 19 8 ft a drag coefficient of 0 28 a wheel radius of 12 6 inches a drive axle slippage of 3 and a drivetrain efficiency of 88 At this vehicle speed what torque is the engine producing and what is the engine speed in revolutions per minute
Math - Others
Mathematical Induction
Math - Others
Mathematical Induction
Which of the following is the correct way to declare a pointer O int ptr O int ptr O Pointer ptr O All of the above is correct O none of the above is correct
Math - Others
Mathematical Induction
Question 2 Which of the following give the value stored at the address pointed to by ptr Optr ptr val ptr
Math - Others
Mathematical Induction
Evaluate the function f x x 6x for the given value of x Simplify your answer f x h
Math - Others
Mathematical Induction
Make an appropriate substitution and solve the equation 2 7 2 7 72 0 The solution set is 3
Math - Others
Mathematical Induction
Tawana owns and operates a sole proprietorship and has a 37 percent marginal tax rate She provides her son Jonathon 17 000 a year for college expenses Jonathon works as a pizza delivery person every fall and has a marginal tax rate of 15 percent Required a What could Tawana do to reduce her family tax burden b How much pretax income does it currently take Tawana to generate the 17 000 after taxes given to Jonathon c If Jonathon worked for his mother s sole proprietorship what salary would she have to pay him to generate 17 000 after taxes ignoring any Social Security Medicare or self employment tax issues d How much money would the strategy in part c save Complete this question by entering your answers in the tabs below Required A Required B Answer is not complete Required C Required D How much money would the strategy in part c save
Math - Others
Mathematical Induction
Math - Others
Mathematical Induction
Required information Let P x be the statement the word x contains the letter a What is the truth value of P true The truth value is Click to select Click to select false true
Math - Others
Mathematical Induction
Required information NOTE This is a multi part question Once an answer is submitted you will be unable to return to th Show that each of these conditional statements is a tautology by using truth tables Complete the truth table given below for the conditional statement p A p q q p p q og p p q T q Click to select T P q T Click to select FT Click to select K The given conditional Click to select Click to select True False F Click to select Click to select Click to select Click to select statement is not a tautology 4
Math - Others
Mathematical Induction
p T Required information NOTE This is a multi part question Once an answer is submitted you will be unable to return to this part Complete the truth table given below to verify the associative laws T T T F F F F q T T F F T T F F r T F T F T F T F pv q T T T T T T F F p V q V r T T Click to select Click to select Click to select Click to select q Vr T T T F T T T F PV qVr T T T T Click to select Click to select Click to select Click to select
Math - Others
Mathematical Induction
Given that x is a normal variable with mean 49 and standard deviation 6 3 find the following probabilities Round your answers to four decimal places LUSE SALT a P x 60 b c P x 50 X X P 50 x 60
Math - Others
Mathematical Induction
The second dose of the COVID 19 vaccine is more likely to produce side effects than the first The time between receiving the shot and the onset of side effects is called the lag time Suppose according to one study the lag times among the subjects that reported side effects from a second dose of the vaccine were normally distributed with a mean of 13 hours with a standard deviation of 4 hours Use the empirical rule to answer the following a What is the probability that a person selected at random from among those that experienced side effects from their second dose of the vaccine had a lag time of less than 9 hours b What is the probability that a person selected at random from among those that experienced side effects from their second dose of the vaccine had a lag time between 13 and 21 hours c Estimate a range of lag times in hours centered about the mean that should include about 95 of all lag times for those experiencing side effects between and hours
Math - Others
Mathematical Induction
8 Calculate the mean median mode and range of the set 1 3 7 29 12 15 5 4KC Mean Mode 9 Provide an example of the following Explain your reasoning 2C Depreciating asset Median Range Appreciating asset
Math - Others
Mathematical Induction
Determine whether each statement is true or false If a statement is true give a reason or cite an appropriate statement from the text If a statement is false provide an example that shows the statement is not true in all cases or cite an appropriate statement from the tem a To find the determinant of a triangular matrix add the entries on the main diagonal O True the determinant of a triangular matrix is equal to the order of the matrix which is equal to the sum of the entries in the main diagonal False the determinant of a triangular matrix is equal to the product of the entries in the main diagonal which may not be equal to the sum of the entries in the main diagonal O True the determinant of a triangular matrix is equal to the product of the entries in the main diagonal which is equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the number of nonzero entries in the main diagonal which may not be equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the order of the matrix which may not be equal to the sum of the entries in the main diagonal b To find the determinant of a matrix expand by cofactors in any row or column O False to find the determinant of a matrix expand by cofactors in any row but not in any column O False to find the determinant of a matrix expand by cofactors in only the first column O False to find the determinant of a matrix expand by cofactors in only the first row O True to find the determinant of a matrix expand by cofactors in any row or column False to find the determinant of a matrix expand by cofactors in any column but not in any row X c When expanding by cofactors you need not evaluate the cofactors of zero entries O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be zero True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be one O False in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be zero O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be equal to the cofactor O False in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be equal to the cofactor X
Math - Others
Mathematical Induction
Use the table to express the following Babylonian numeral as a Hindu Arabic numeral V V V V V vvv V V V V v 0 points Babylonian numerals Hindu Arabic numerals Points 0 of V 1 10
Math - Others
Mathematical Induction
Write Matlab scripts that determine the zero state responses of the following systems by solving differential equations in the time domain 1 dy t dt 2y t 15u t
Math - Others
Mathematical Induction
7 A glass is in the shape of a rectangular based prism 4A 2 2 a How much water is needed to fill the glass to the nearest cubic centimeters 10 cm 5 cm 4 cm b How much more water would I need if I wanted to double the length and the width of the base
Math - Others
Mathematical Induction
E B C AF BE ABCD BA gl go S b AF BE
Math - Others
Mathematical Induction
Math - Others
Mathematical Induction
Factor the expression completely x 5 x 8 2 x 5 x 8
Math - Others
Mathematical Induction
Factor the expression completely This type of expression arises in calculus when using the Product Rule x1 2 9x 4 1 2 2x1 2 9x 4 1 2
Math - Others
Mathematical Induction
According to a 2019 eMarketer poll 90 4 of individuals born between 1981 and 1996 millennials are active users of social media Compute the following probabilities out of a group of 55 millennials Round your answers to three decimal places LUSE SALT a Find the probability that more than 49 are active on social media b Find the probability that at most 46 are active on social media c Find the probability that between 43 and 48 including 43 and 48 are active on social media d Find the probability that exactly 49 are active on social media
Math - Others
Mathematical Induction
Deja and Aniyah each planted a tree at the same time Deja s tree is 1 foot tall and grows 2 feet per year feet per year Aniyah s tree is 4 feet tall and grows 1 2 Name 4 1 Write a system of equations to represent this situation Use x for the number of years since they planted the tree and y for the tree s height in feet 1 ft 4 ft 4 2 The solution to a system of equations for this situation is 2 5 Explain what the solution says about the trees
Math - Others
Mathematical Induction
Shenise is a star player for her women s basketball team She has injured her ankle and it is doubtful that sh will be able to play in an upcoming game If Shenise can play the coach estimates that the team will score 78 points If Shenise is not able to play the coach estimates that they will score 62 points The team doctor estimates that there is a 70 chance Shenise will play Determine the number of points the team can expect to score It is expected that the team will score points Round to the nearest whole number as needed www
Math - Others
Mathematical Induction
imits Continuity Course Packet on indetermi x x 9 X 81 X 81 Evaluate lim If an answer does not exist enter DNE
Math - Others
Mathematical Induction
If there are five pears in a bowl in how many ways can there be one pear that is ripe and four pears that are unripe There are ways for this to occur Type a whole number
Math - Others
Mathematical Induction
486 C 135
Math - Others
Mathematical Induction
Watch the video and then solve the problem given below Click here to watch the video A salesman has to travel to different cities Assume the numbers listed are the costs in hundreds of dollars for the salesman to transport materials and travel to the city Find the cost of the path for AECDBA Enter the cost for his path traveled E 165 302 205 D 185 340 320 500 360 200 305 C B
Math - Others
Mathematical Induction
Math - Others
Mathematical Induction
Write each number in scientific notation a 69 800 000 b c d x 10 7 300 000 000 x 10 0 0000028535 x 10 0 0000001581
Math - Others
Mathematical Induction
Complete the following tables Round your answers to three decimal places 1 n n 1 2 5 10 100 21 n What about the nth root of n What happens to the nth root of 2 as n gets large As n gets larger 21 n decreases to 1 As n gets larger 21 n increases to 1 As n gets larger 21 n does not change As n gets larger 1 2 1 n decreases to 1 As n gets larger 1 2 1 n increases to 1 As n gets larger 1 2 1 n does not change 1 2 5 10 100 Construct a similar table for n n What happens to the nth root of n as n gets large As n gets larger n n decreases As n gets larger n n increases As n gets larger n n does not change
Math - Others
Mathematical Induction
Put each fractional expression into standard form by rationalizing the denominator S a 2 1 2t b c 1 3 5 X X
Math - Others
Mathematical Induction
Write each number in decimal notation 3 19 x 107 a b c CHY 2 757 x 107 2 670 x 10 8
Math - Others
Mathematical Induction
15 A plane needs to travel to a location 1550 km away at a direction N30 E The plane flies at a velocity of 625 km hr and there is a wind of 80 km hr at a direction N10 W a What heading should the pilot take to arrive at the destination A 3 b How long will it take T 2
Math - Others
Mathematical Induction
Sometimes probability statements are expressed in terms of odds The odds in favor of an event A are the following ratio P A P A P not A P AC For instance if P A 0 60 then P AC 0 40 and the odds in favor of A are 0 60 6 3 0 40 4 a Show that if we are given the odds in favor of event A as n m the probability of event A is given by the following e n M n 1 P A P A Hint Solve the following equation for P A P A 1 P A n n m n nP A 77 n m n n written as 3 to 2 or 3 2 2 P A P A P A 1 P A P A P A nP A b A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 2 to 19 What is the probability of a successful call Round your answer to two decimal places A sports announcer says that the odds a basketball player will make a free throw shot 5 to 3 What is the probability the
Math - Others
Mathematical Induction
Find the value of the expression See Examples 3 5 Object 2 5 4
Math - Others
Mathematical Induction
Show that the matrix is invertible and find its inverse 8 A 1 A si sin 8 cos e cos 0 sin 0
Math - Others
Mathematical Induction
Show that AB and BA are not equal for the given matrices 1 A 4 6 3 B 03 1 6 AB DA 20
Math - Others
Mathematical Induction
Factor each completely 9 2p 3p 5 11 2n 9n 18 13 4n 5n 6 15 6a a 2 10 3x 14x 8 12 3k 17k 20 14 10x 9x 2 16 4r r 18
Math - Others
Mathematical Induction
Find if possible A B A B 2A 2A B and B A If not possible enter IMPOSSIBLE in any single cell A 6 5 1 4 a A B 8 5 It b A B c 24 d 24 B B e B A 1 5 1 10 11 11 11 K
Math - Others
Mathematical Induction
Write the system of linear equations in the form Ax b and solve this matrix equation for x 3x 3 X2 31 2x1 x 6x X1 30 CHO X2 31
Math - Others
Mathematical Induction
Using V 9 mV and given the voltage across an inductor L 10 mH as shown in Fig P6 25 determine the waveform for the inductor current during the time t1 t t2 where t1 4 ms and t2 19 ms Assuming the solution looks like iL t X t t1 Y t t1 C what is the initial condition of the current the constant C For your answer just put the magnitude of the initial value of the constant and in milliAmps there should only be a number in your answer v 1 mv A Figure P6 25 V Notes on entering solution t1 t2 Pay attention to the interval Enter your solution to 2 decimal points Only put the constant ex 200 t t1 50 t t1 1 is entered as 1 Do not include units in your answer 1 ms
Math - Others
Mathematical Induction
d Given y 3 sin 3x Find 1 phase shift p s 2 2 period p
Math - Others
Mathematical Induction
b The Monod growth function is given by R N Find 1 R 2 2 the saturation level 20 N 2 N
Math - Others
Mathematical Induction
b Use a calculator to verify that Ex 149 6 Ex 3 220 10 y 244 Ey2 9 834 and Exy 5 290 7 Computer Round your answer to four decimal places r As x increases does the value of r imply that y should tend to increase or decrease Explain your answer Given our value of r y should tend to remain constant as x increases Given our value of r y should tend to increase as x increases Given our value of r y should tend to decrease as x increases Given our value of r we can not draw any conclusions for the behavior of y as x increases
Math - Others
Mathematical Induction
ate the following and round the FINAL answer to 2 decimal places 800 1 005 1 0 005 a 150 000 1 0 0575 A footwear retailer sold 13 pair of b nach