Math - Others Questions

Repeat the following procedure for the four given numbers Add 5 Double the result Subtract 4 Divide by 2 Subtract the original selected number The 1st number is 1 The 2nd number is 6 The 3rd number is 9 The 4th number is 12 The result is Double the result The result is a Write a conjecture that relates the result of the process to the original number selected Subtract 4 The result is Divide by 2 The result is Simplify your answer b Represent the original number as n and use deductive reasoning to prove the conjecture in part a Add 5 The result is Subtract the original number Simplify your answer Simplify your answer Simplify your answer Simplify your answer

possible Use the four step method in problem solving to solve the problem A car rents for 220 per week plus 0 25 per mile Find the rental cost for a three week trip of 700 miles OA 835 00 OB 1 185 00 OC 175 00 OD 395 00

2x2 18 x 3x 6x 9 Evaluate lim If an answer does not exist enter DNE

A woman borrowed 3400 from a bank for 3 months A friend was cosigner of the woman s personal note Th 1 bank collected 6 simple interest on the date of maturity 2 a How much did the woman pay for the use of the money b Determine the amount she repaid to the bank on the due date of the note a The woman paid 55 25 for the use of the money b On the due date of the note the woman repaid to the bank

Consider the following equation of a line 2x 5y 15 a Find the slope and y intercept if possible of the equation of the line algebraically Use a graphing utility to verify your answer If an answer is undefined enter UNDEFINED Enter NONE if there is no y intercept slope y intercept x y b Sketch the line by hand Use a graphing utility to verify your answer No Solution 10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 2 3 4 5 6 8 9 1 2 3 4 5 6 7 8 9 10 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

STRUCTURE Consider the function f x x 3 2 and the function g x shown in the graph a Determine which function has the greater maximum value Explain your reasoning b Compare the domains of the two functions c Compare the average rates of change of the two functions over the interval 6 13 BRH2D8642 18 16 14 12 10 0 52 6 glx 2 4 6 8 10 12 14 16 18

Date 1 24 2024 Simplify each expression 1 567 3 192m n 2 56x 4 240j4

Use the compound interest formula to compute the total amount accumulated and the interest earned 7500 for 5 years at 6 5 compounded monthly The total amount accumulated after 5 years is Round to the nearest cent as needed

By cutting away an x by x square from each corner of a rectangular piece of cardboard and folding up the resulting flaps a box with no top can be constructed Volume as a function of x T81 184 Domain of the function for volume TEL If the piece of cardboard is 44 inches long by 24 inches wide find a function in the variable x giving the volume of the resulting box TEL Determine the domain of the function for volume Enter your answer using interval notation

Evaluate lim f x where f x If an answer does not exist enter DNE lim f x 36 12

An ice cream company sells ice cream in two containers a cylindrical tub and a rectangular box as shown in the figure Which container holds more ice cream and what is the positive difference in their volumes Which container holds more ice cream 3 in 6 25 in rectangular box The positive difference in the volume of both containers is Type an integer or decimal rounded to two decimal places as needed in 3 8 in rata 3 5 in

Determine whether each statement is true or false You have one submission for each statement a The function x8 1 6 x 1 is a polynomial of degree 51 True False b The function x 5x x 1 is a polynomial of degree 4 True False c The function x5 1 6 x True False is a rational function nctions d The function 8x 6 2x 2 3 is a rational function True False

Submit Answer 1 Points DETAILS Math 110 Course Resources Functions Course Packet on market equilibrium The demand and supply functions for Penn State football jerseys are p d x 2004 x p s x 99x2 800x 4 where x is the number of hundreds of jerseys and p is the price in dollars Find the equilibrium point Equilibrium quantity x which corresponds to jerseys I

Determine whether each statement is true or false You have one submission for each statement a According to the law of demand if price goes down demand goes up OTrue False b According to the law of supply p s x is an increasing function OTrue False c According to the law of demand p True False d x is an increasing function d The intersection of the demand and supply curves corresponds to the market equilibrium quantity OTrue False e The intersection of the demand and supply curves corresponds to the market equilibrium price OTrue False

A rectangular field is to be enclosed by 200 feet of fence One side of the field is a building so fencing is not required on that side Area as a function of x 5000 x Fenced Area Domain of area function 1 5000 Building If x denotes the length of one side of the rectangle perpendicular to the building determine the function in the variable x giving the area in square feet of the fenced in region X Determine the domain of the area function Enter your answer using interval notation I

A billboard designer has decided that a rectangular sign should have 5 t margins at the top and bottom and 2 ft margins on the left and right sides Furthermore the billboard should have a to area of 950 m nuding the margins If x denotes the width in feet of the billboard including the margins find a function in the variable x giving the area of the printed region of the billboard Area as a function of a Determine the domain of the function for area Enter your answer using interval notation Printed Region Domain of the function for area MY NE

Video Tutorial The monthly demand equation for Penn State Bakery Mini Cookie Canisters is given by p 49 x where x represents the number of hundreds of canisters and p is the price in dollars of a single canister a If p 5 find the corresponding value of x x 2 6 b If each canister sells for 5 dollars determine the number of canisters demanded Round your answer to the nearest integer Number of canisters demanded 4 9

Simplify the expression by first getting a common denominator then pulling out any common factors in the numerator and finally expanding and or combining like terms from the remaining fact 2x 1 5 6 x 1 8 2x 1 x 1

Simplify the expression by first factoring each numerator and denominator x 1 x 2x 3 3x 2x 1 4x 12 toring techniques

Simplify the expression by first pulling out any common factors in the numerator and then expanding and or combining like terms from the remaining factor 3x 2 2 x 4 3x 2 1 2 3x 2

Solve the equation by factoring the left hand side and then setting each factor equal to zero Enter your answers as a comma separated list 2x x3 0 X 3 2 1 X

2 Determine the slope and y intercept of y x 1 Graph the line 3T Slope y intercept 1 0 1 6

1 Explain whether each of the following are linear relations 4A a X 1 0 1 2 Y 2 1 4 7 b y 3x

The Bells obtain a 20 year 100 000 conventional mortgage at a 10 0 rate on a house selling for 130 000 Their monthly mortgage payment including principal and interest is 966 00 They also pay 3 points at closin a Determine the total amount the Bells will pay for their house b How much of the cost will be interest including the 3 points c How much of the first payment on the mortgage is applied to the principal www a The total amount that the Bells will pay for their house is Round to the nearest dollar as needed

15 The following table represents the Log frequencies weight for a set of terms in three documents Term Jerusalem Freedom Palestine Select one Doci a 1 91 b 33 c 91 d 12 33 3 04 2 17 1 70 Doc2 Doc3 0 2 70 2 00 1 90 0 Peace 0 Based on this table what is the cosine similarity between doc1 and doc2 after length normalization is 2 30 2 08 2 70

The Adeeva s gross monthly income is 7600 They have 18 remaining payments of 390 on a new car They are applying for a 20 year 167 000 mortgage at 7 0 The taxes and insurance on the house are 490 per month The bank will only approve a loan that has a total monthly mortgage payment of principal interest property taxes and homeowners insurance that is less than or equal to 28 of their adjusted monthly income Click here for table of Monthly Payments a Determine 28 of the Adeeva s adjusted monthly income 2018 8 Round to the nearest cent b Determine the Adeeva s total monthly mortgage payment including principal interest taxes and homeowners insurance Round to the nearest cent

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

A youth sports league held various fundraisers They received 490 from a car wash 383 from a bake sale and 169 from a used equipment sale The league decides to invest this money in a 5 year CD that pays 3 1 interest compounded daily How much will the league receive from the CD in 5 years The league will have in this account after 5 years Round to the nearest cent as needed

A vending machine accepts nickels dimes and quarters Exact change is needed to make a purchase How many ways can a person with five nickels three dimes and two quarters make a 25 cent purchase from the machine For this problem treat all coins within a particular value as if they are the same That is do not count the number of ways that a single coin a nickel a dime or a quarter could be chosen There are ways to make the purchase IA TO

O Points 0 of 1 The members of the Student Activity Council on your campus are meeting to select two speakers for a month long event celebrating artists and entertainers The first names of the choices are Ben Will Stewart Hilary Kate and Jay How many different ways can the two speakers be selected The two speakers can be selected Save different ways

Watch the video and then solve the problem given below Click here to watch the video A friend wants to go to a new restaurant The menu has 5 appetizers 10 entrees and 6 dessert options How many different meals appetizer entr e and dessert are possible Type your answer

Karen Gaines invested 14 000 in a money market account with an interest rate of 3 25 compounded semiannually Seven years later Karen withdrew the full amount to put toward the down payment on a new house How much did Karen withdraw from the account Karen withdrew Round to the nearest cent as needed

Calculators were purchased at 50 per dozen and sold at 15 for three calculators What is the profit on six dozen calculators The profit is S

A recent high school graduate received 600 in gifts of cash from friends and relatives In addition he receive three scholarships in the amounts of 450 500 and 1100 If he takes all his gift and scholarship money and invests it in a 24 month CD paying 3 interest compounded daily how much will the graduate have when he cashes in the CD at the end of the 24 months The graduate will have when he cashes in the CD Round to the nearest cent as needed

To help pay for a class trip at the end of their senior year the sophomore class at a high school invests 1100 from fund raisers in a 30 month CD paying 3 2 interest compounded monthly Determine the amount the clas will receive when it cashes in the CD after 30 months www The sophomore class will receive 1 100 when it cashes in the CD Round to the nearest cent as needed

Marcus receives an inheritance of 4 000 He decides to invest this money in a 12 year certificate of deposit CD that pays 3 5 interest compounded monthly How much money will Marcus receive when he redeems the CD at the end of the 12 years Marcus will receive Round to the nearest cent www

The Bells obtain a 30 year 130 000 conventional mortgage at a 9 5 rate on a house selling for 150 000 Their monthly mortgage payment including principal and interest is 1093 30 They also pay 2 points at closing a Determine the total amount the Bells will pay for their house b How much of the cost will be interest including the 2 points c How much of the first payment on the mortgage is applied to the principal a The total amount that the Bells will pay for their house is Round to the nearest dollar as needed

The Adeeva s gross monthly income is 4200 They have 18 remaining payments of 210 on a new car They are applying for a 30 year 78 000 mortgage at 7 5 The taxes insurance on the house are 480 per month The bank will only approve a loan that has a total monthly mortgage payment of principal interest property taxes and homeowne insurance that is less than or equal to 28 of their adjusted monthly income Click here for table of Monthly Payments a Determine 28 of the Adeeva s adjusted monthly income Round to the nearest cent Monthly Principal and Interest Payment per 1000 of Mortgage Rate 9 40 45 3 0 10 10 12451 10 36354 10 60655 1085263 55 60 65 70 15 11 30005 11 35480 ILGIORS 1187018 8 0 12 13276 85 90 95 100 12 39857 12 66758 12 99976 13 21507 10 74605 105 13 49350 110099 11 0 13 77500 1136897 o 1168090 15 20 605980 7 39688 632649 764993 7 90794 6 39956 8 17083 687887 7 16431 743573 775299 05593 136440 867823 899726 9 32131 965022 9 98380 1032188 1066430 843857 171107 8 98828 927012 9 55652 25 5 27837 5 55832 984740 10 14267 10 44225 584990 6 14087 644301 675207 706779 7 38991 7 71816 K05227 8 39196 8 75697 9 08701 9 44182 9 80113 10 16469 30 4 77415 506685 5 36822 5 67789 599551 6 32064 665302 699215 7 33765 168913 104623 840454 877572 9 14739 952323 990291

The Nicols are buying a house selling for 235 000 They pay a down payment of 35 000 from the sale of the current house To obtain a 15 year mortgage at a 6 interest rate the Nicols must pay 2 5 points at the time of closing a What is the amount of the mortgage b What is the cost of the 2 5 points a The amount of the mortgage is

The Fritzes are buying a house that sells for 141 000 The bank is requiring a minimum down payment of 10 To obtain a 35 year mortgage at 9 0 interest they must pay 2 points at the time of closing a Determine the required down payment b Determine the amount of the mortgage on the property with the 10 down payment c Find the cost of 2 points on the mortgage a The required down payment is

A library buys 8 more books for children than for adults Let x represent the number of children s books and let y represent the books for adults Complete the table using the equation x y 8 X 9 37 227 y 1 60 L

In a sales effectiveness seminar a group of sales representatives tried two approaches to selling a customer a new automobile the aggressive approach and the passive approach For 1 160 customers the following record was kept Sale Aggressive 263 Passive 413 No Sale Row Total P S Pa 317 Column Total 676 484 167 580 P Pa and S 580 Suppose a customer is selected at random from the 1 160 participating customers Let us use the following notation for events A aggressive approach Pa passive approach S sale N no sale So P A is the probability that an aggressive approach was used and so on 1 160 a Compute P S P SIA and P S Pa Enter your answers as fractions P S X P S A Enter an exact value instead of a rounded value x Enter an exact value instead of a rounded value b Are the events S sale and Pa passive approach independent Explain Yes P S P S Pa No The two events cannot occur together Yes The two events can occur together No P S P S Pa c Compute P A and S and P Pa and S Enter your answers as fractions P A and S x Enter an exact value instead of a rounded value d Compute P N and P NI A Enter your answers as fractions P N P N A Enter an exact value instead of a rounded value e Are the events N no sale and A aggressive approach independent Explain No The two events cannot occur together Yes P N P N A Yes The two events can occur together No P N P N A f Compute P A or S Enter your answer as a fraction

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

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

Put each fractional expression into standard form by rationalizing the denominator S a 2 1 2t b c 1 3 5 X X

Write each number in decimal notation 3 19 x 107 a b c CHY 2 757 x 107 2 670 x 10 8

A researcher says that there is a 80 chance a polygraph test lie detector test will catch a person who is in fact lying Furthermore there is approximately a 7 chance that the polygraph will falsely accuse someone of lying a If the polygraph indicated that 36 of the questions were answered with lies what would you estimate for the actual percentage of lies in the answers Hint Let B event detector indicates a lie We are given P B 0 36 Let A event person is lying so AC event person is not lying Then P B P A and B P AC and B P B P A P BA P A P BA Replacing P A by 1 P A gives P B P A P B A 1 P A P B AC Substitute known values for P B P B A and P B A into the last equation and solve for P A Round your answer to two decimal places P A 0 397 b If the polygraph indicated that 64 of the questions were answered with lies what would you estimate for the actual percentage of lies Round your answer to one decimal place

A researcher says that there is a 80 chance a polygraph test lie detector test will catch a person who is in fact lying Furthermore there is approximately a 7 chance that the polygraph will falsely accuse someone of lying a If the polygraph indicated that 36 of the questions were answered with lies what would you estimate for the actual percentage of lies in the answers Hint Let B event detector indicates a lie We are given P B 0 36 Let A event person is lying so AC event person is not lying Then P B P A and B P AC and B P B P A P B A P A P BA Replacing P A by 1 P A gives P B P A P B A 1 P A P B A Substitute known values for P B P BIA and P B A into the last equation and solve for P A Round your answer to two decimal places P A x b If the polygraph indicated that 64 of the questions were answered with lies what would you estimate for the actual percentage of lies Round your answer to one decimal place

A particular candy comes in various colors According to the company the distribution of colors for the candy is as follows Purple Yellow Red Orange Green Blue Brown 17 23 19 6 10 10 15 Color Percentage Suppose you have a large bag of candies and you choose one candy at random a Find P green candy or blue candy Probabilities should be between 0 and 1 Are these outcomes mutually exclusive Why Yes Choosing a green and blue candy is not possible Yes Choosing a green and blue candy is possible No Choosing a green and blue candy is possible No Choosing a green and blue candy is not possible b Find P yellow candy or red candy Probabilities should be between 0 and 1 Are these outcomes mutually exclusive Why No Choosing a yellow and red candy is not possible Yes Choosing a yellow and red candy is not possible Yes Choosing a yellow and red candy is possible No Choosing a yellow and red candy is possible c Find P not purple candy Probabilities should be between 0 and 1 x

Sammy Aww thank you so much That means a lot to me and yes I got all my grades except for one of my classes I have three A and one A I miss you so much Ms Christmas Yes I miss you as well Even if I don t see you during your break I will definitely come and see you at Harvard