Math Questions

Rt L The electric current i in a circuit containing a resistance and an inductance see the figure below is given by In where I is the current at t 0 R is the resistance t is the time and L is the inductance Find how long in s it takes the current to reach 0 4 of the initial value of 0 751 A if 1 0 751 A R 7 61 2 and L 1 26 H E R The current changes from 0 751 A to 0 4 of 0 751 Ain Round to the nearest thousandth as needed S

ball is dropped from a height of 60 feet Each time it hits the ground It bounces two thirds of its evious height Find the total distance the ball has traveled before coming to rest 60 ft 40 ft 40 ft 26 7 ft 26 7 ft 17 8 ft 17 8 ft

Sales representatives at a car dealership were split into two groups One group used an aggressive approach to sell a customer a new automobile The other group used a passive approach The following table summarizes the records for 646 customers If one of these customers is selected at random determine the probability that the passive approach was used P Approach Aggressive Passive Total Sale 109 201 310 No Sale 246 90 336 The probability that the passive approach was used is Type an integer or a simplified fraction Total 355 291 646

Q2 2 Anna wants to mail a flag pole to her friend The flag pole is 5 feet long She has a box that is 1 ft by 1 ft by 4 ft Will the flag pole fit in the box Yes O O No Defend your answer using the Pythagorean theorem

Dan purchased a baseball glove for 63 50 If the sales tax is 8 25 what will be the total amount he will pay for the glove Dan heard about a quick way to find the total price of an item He was told that if sales tax is 8 25 he should simply multiply the price of the item by 1 0825 Check the first problem by using this method Carlos decides to buy two t shirts for 15 00 each and some socks that cost 5 99 each Which equation below shows the total cost y given in terms of the number of socks that were purchased p if a 8 5 sales tax was applied A 2 15 00 8 5 5 99 y B y 5 99p 15 00 085 C 1 85 5 99p 30 00 y D y 1 085 5 99p 30 00 0

carpool service has 2 000 daily riders A one way ticket costs 5 00 The service estimates that for each 1 00 increase to the one way fare 00 passengers will find other means of transportation Let x represent the number of 1 00 increases in ticket price Choose the inequality to represent the values of x that would allow the carpool service to have revenue of at least 12 000 Then use the nequality to select all the correct statements D W The price of a one way ticket that will maximize revenue is 7 50 100 2 1 500 10 000 1002 1 500 10 000 100x2 1 500 10 000 12 000 The maximum profit the company can make is 15 625 00 The maximum profit the company can make is 4 125 00 The price of a one way ticket that will maximize revenue is 12 50 12 000 12 000

To indirectly measure the distance across a river Mohal stands on one side of the river and uses sight lines to a landmark on the opposite bank Mohal draws the diagram below to show the lengths and angles that he measured Find PR the distance across the river Round your answer to the nearest foot R 150 ft 0 150 ft Answer 225 ft C Diagram is not to scale

7 Technology required What is the value of x D 3 40 X 50 E If necessary round your answer to the nearest tenth Do not include units units in your answer 2019 Illustrative Mathematics All Rights Reserved

The parallel dotplots below display the number of cars parked for several days in each of two parking lots Parked Cars by Lot Lots A B N 21 2 22 23 24 25 26 27 28 29 Number of Cars Which of the following statements is true O The range for the distribution of the number of cars is larger in lot A The range for the distribution of the number of cars is larger in lot B O There is a smaller standard deviation in the distribution of the number of cars in lot B The standard deviation in the distribution of the number of cars is the same for both lots

15 Identify whether each segment is an altitude an angle bisector a median or a perpendicular bisector SEE EXAMPLE 1 D A C a BD C CE E B 15 b FJ d KL L F 16 What is the value of KL SEE EXAMPLE 2 H K G H

This is a 2 page document Directions Find the total number of outcomes that are possible 1 The spinner below is spun three times 17 3 3 Selecting a letter from the word TROPHY and a day from the month of May 3 3 X6 2 5 Creating a password with two letters followed by two one digit numbers Z 2X2 c P factor of 72 and even 2 A bag contains 5 green marbles and 8 blue marbles A dice is rolled then a marble is chosen at random from the bag B3X6 4 Jaden is studying abroad for a semester 2 He can choose the first semester or second semester then choose France Spain Germany Italy or Japan 245 7 A number from 1 72 is chosen at random Find each probability as a fraction in simplest form decimal and percent a P multiple of 9 b P odd or at most 16 c P face card or 8 6 A coin is tossed four times and a card is 52 selected from a standard deck of cards 524 d P not a perfect square 52 8 A card is chosen at random from a standard deck Find each probability as a fraction in simplest form decimal and percent a P ace b P black or queen d P red jack Gina Wilson All Things Algebro LLC 2020

Consider the two triangles shown below 5 DD 7 7 Note The triangles are not drawn to scale Are the two triangles congruent Choose 1 answer A B 5 Yes No There is not enough information to say

What is the probability that out of 175 chicks hatched on Peeper Farm at least 70 will be female Assume that males and females are equally probable and round your answer to the nearest tenth of a percent O A 3 5 B 99 7 XO C 88 7 O D 38 1

1 point Edfinity understands most of the standard mathematical functions It can compute base 10 logarithms with log and natural logarithms with In If your course involves trigonometric functions it can evaluate those as well Note for trig functions Edfinity always uses radian mode Here s the list of the functions which Edfinity understands many of which you will not need for your course To try one we will use the In function natural logarithm Compute 2 ln 5e 3 Answer You can enter this as 2 ln 5 e 3 or more simply as 2ln 5e 3 Those who have studied logarithms before we could enter this as 2 In 25 9 which also works Sometimes you need to use s to make your meaning clear E g 1 2 3 is 3 5 but 1 2 3 is 2 Why Try entering both to see the difference In addition to s you can also use s and 1 2 3 may also recognize that

The lengths of 2 consecutive sides of the parallelogram shown are 10 inches and 15 inches The 2 sides include an angle of 60 A 10 60 B 15 To the nearest tenth of a square inch what is the area of the parallelogram E 140 5 sq in G 139 4 sq in D 21 6 sq in 129 9 sq in C

Select the correct answer from the drop down menu A company sells its product to distributors in boxes of 10 units each Its profits can be modeled by this equation where p is the profit after selling n boxes P n2 300n 100 000 Use this equation to complete the statement L The company breaks even meaning the profits are 0 only when it sells boxes

the problem 13 Amy has 6 blue 2 red and 3 green books to arrange on a shelf In how many distinguishable ways can the books be arranged if books of the same color are identical A 4620 ZONESIA X B8640 C 728 D 51 840 AS26 2015

Two buildings on level ground are 200 feet apart From the top edge of the shorter building the angle of depression to the bottom of the taller building is 35 How tall is the shorter building Round to the nearest foot Select one O a 229 ft Ob 286 ft c 140 ft O d 89 ft

David performed the following mathematical operation 2x 3 x 3 2x 9x 9 He was left with a remainder of zero Which of the following statements must be true A 3 must be a root of the polynomial 2x 9x 9 OB must be a root of the polynomial 2x 9x 9 2 C 3 must be a root of the polynomial 2x 9x 9 D 2 3335 must be a root of the polynomial 2x 9x 9 4

A sample of bacteria is growing at an hourly rate of 15 according to the continuous exponential growth function The sample began with 11 bacteria How many bacteria will be in the sample after 21 hours Round your answer down to the nearest whole number Provide your answer below 7 bacteria 8 9 x y x

A renter wanted to paint a small wall in her apartment She bought a can paint that was supposed to cover 110 square feet The height of the wall was 8 1 3 feet high What length of wall could she paint with this one can of paint 11 2 3 feet O 101 2 3 feet O10 1 3 feet O13 1 5 feet

Transforming random A restaurant sells three sizes of shakes The small medium and large sizes each cost 2 00 3 00 and 3 50 respectively Let X represent the restaurant s income on a randomly selected shake purchase Based on previous data here s the probability distribution of X along with summary statistics X income P X Small 2 00 0 28 Medium Large 3 00 3 50 0 40 0 32 Mean x 2 88 Standard deviation x 0 59 During the last hour of business the restaurant offers a special that gives customers 1 off any size shake Assume that the special doesn t change the probability that corresponds to each size Let Y represent their income on a randomly selected shake purchase with this special pricing What are the mean and standard deviation of Y dollars

Question 27 Justin has 3 skateboards and plans to purchase 2 more skateboards each month Does this situation model a linear or exponential function O Exponential

When Kylie commutes to work the amount of time it takes her to arrive is normally distributed with a mean of 47 minutes and a standard deviation of minutes What percentage of her commutes will be shorter than 45 minutes to the nearest tenth Stotiction Calculator

The spinner below is spun once Find each probability as a fraction in simplest form 10 9 12 1 7 6 2 6 P shaded Xr NM 1 2 3 Plunshaded or even 4 1 2 11 12 8 P prime and less than 10 14 12 2 1 5 6 7 8 m ym ym Gina Wilson All Things Algebra LLC 2020

Technology required 8 Y 83 102 87 115 91 107 93 122 97 125 97 127 101 120 104 127 1 Use graphing technology to create a scatter plot and find the 2 What does the best fit line estimate for the y value when a is

Mateo teaches a continuing education class at the library on Tuesday nights He estimates that 75 of his students are satisfied or very satisfied with the class Last week he asked a random sample of students to take a survey on their experience in the class However the results showed that only 70 indicated that they are satisfied or very satisfied with the class He decides to randomly survey more of his students How will Mateo know whether his model is valid or not O A It is valid if the result from all the surveys and the model get farther apart O B It is valid if the result from all the surveys and the model stay the same It is impossible to determine whether the model is valid It is valid if the result from all the surveys and the model get closer together OC O D

George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request He asked 500 students at his school the following questions Are you in the Art Club and Did you get the art class you requested The results are shown in the table below Art Club Not in Art Club Total Received art class requested Did not get art class requested 65 Total 165 100 265 70 335 365 135 500 Help George determine if all students at his school have an equal opportunity to get into the art class they requested Show your work and explain your process for determining the faimess of the clar

Lydia bought a shirt at 20 off its retail price of 40 She paid 5 tax on the price after the discount How much did Lydia pay for the shirt A 42 B 36 60 OC 34 OD 33 60

Startl 36 12 3 36 2 45 7 22 45 x 14 22 8 15 16 15 30 60 X Special Right Triangles Directions Find each missing side Write all answers in simplest radical form Use your solutions to navigate through the maze Staple all work to this paper 14 11 30 2 24 15 sion 2 Simplest Radical Form 24 5 12 6 6 3 X 36 2 X 10 6 24 6 x 20 6 6 10 6 5 15 2 2 15 30 X 60 x 30 45 20 2 20 48 2 24 2 3 10 5 3 15 40 45 20 2 2 End 30 x 45 24 2 2 15 X X 4 30 45 28 3 7 3 7 2 2 15 4 15 2 30 X 24 x 60 7 6 45 Vas 14 3 42 4 5 8 5 x 30 16 3 X 60 48 Gina Wilson All Things Algebra 201

Melissa is sitting in a movie theater 8 meters from the screen The angle of elevation from her line of sight to the top of the screen is 11 and the angle of depression from her line of sight to the bottom of the screen is 51 Find the height of the entire screen Do not round any intermediate computations Round your answer to the nearest tenth Note that the figure below is not drawn to scale 11 51 8 meters meters X S

The figure below shows a cone contained within a cylinder The tip of the cone touches the top of the cylinder 4 in Which of the following is closest to the volume of the space within the cylinder that is outside the cone A 6 in B 25 in 50 in C 151 in

2 The data in the table shows the times for Men s 500 m Speed Skating event at the Winter Olympics Let x be the number of years since 1980 Year 1984 Time sec 38 19 36 45 37 14 1988 1992 1994 36 33 1998 35 59 2002 34 42 2006 34 84 Source www infoplease com a Find a quadratic model for the data set b Find a cubic model for the data set c Find a quartic model for the data set d Compare the models and determine which one is more appropriate Explain your choice

In a class of 26 students 17 have a brother and 12 have a sister There are 5 students who do not have any siblings What is the probability that a student has a brother given that they have a sister

Select ALL the correct answers Marley owns a music store The first week a new album was released he sold 800 copies at his store Each week after the release the number of copies sold decreased by 11 Select all the functions that can be used to find the number of copies sold fn n weeks after the release f 1 800 f n f n 800 0 11 n O 1 800 f n 0 89 f n 1 for n 2 1 Of n O 1 O f n 0 11 f n 1 for n 2 1 800 0 89 n 11 f n 800 f n 1 for n 2 800 0 89m

Assume that a DVD loses 60 of its value every year it is in a video store Suppose the initial value of the DVD was 80 B 46 HW eTool Desmos Homework Help a What multiplier would you use to calculate the video s new values b What is the value of the DVD after one year After four years c Write a continuous function V t to model the value of a DVD after t years d When does the video have no value e Sketch a graph of this function Be sure to scale and label the axes

A slide at the park is 12 5 feet long The bottom of the ladder to the bottom of the slide is 8 feet How tall is the ladder on the slide Answer as a decimal rounded to the nearest hundredth Do not include units 12 5 ft 8 ft

The line graph shows the number of awakenings during the night for a particular group of people Use the graph to estimate at which age women have the least number of awakenings during the night and what the average number of awakenings at that age is Women have the least number of awakenings during the night at the age of Type a whole number The average number of awakenings at that age is Type a whole number Number of Awakenings During the Night 7 6 5 4 3 N 20 40 men H women 60 80

Directions Drag each tile to the correct box The three tables below show the ratios of ingredients needed to make watercolor paint Baking Soda tbsp Vinegar tbsp 6 8 15 18 Syrup tsp 4 10 14 Cornstarch tsp 10 25 35 Put the specified ratios in order from least to greatest Red Dye to Blue Dye 20 24 Baking Soda to Vinegar Red Dye mL 8 12 16 Syrup to Cornstarch Blue Dye mL 14 21 28

Line m and line n are parallel and 7 units apart If AABC is reflected across line m and then reflected across line n the image AA B C can also be written as a translation AABC units to the right C B AM N y X

The marketing department of the Fitrite shoe company surveyed people who had never bought Fitrite shoes The top 4 reasons for not buying Fitrite shoes are shown Reason Have never been able to find them Too expensive Don t come in my size 87 I buy the kind with the Ruff the Shoeperdog mascot 12 Number OA placement and promotion OB placement and product C price and product D price and promotion 65 22 Based on these results which two of the four Ps of marketing should the company emphasize to attract new customers

A company that produces widgets has a fixed cost of 400 and a unit cost of 80 per widget Each widget sells for 96 Use the interactive figure to find your answer Click here to launch the interactive figure a How many widgets must the company produce and sell in order to break even What is the cost and revenue at the break even point The company must produce and sell widgets The cost and revenue both equal b What is the company s profit or loss when 50 widgets are produced and sold OA The company makes a profit of B The company incurs a loss of c If the company incurs a loss of 240 how many widgets did they produce and sell The company produced and sold widgets

A B The chart below shows the scores for each of the first for the Hawks and the Blue Jays D Hawks 95 93 93 93 82 81 80 103 87 98 Blue Jays Which of the following is true The mode for the Hawks is less than the mode for the Blue Jays The mean for the Blue Jays is less than the mean for the Hawks The median for the Hawks is greater than the median for the Blue Jays The range for the Hawks is greater than the range for the Blue Jays 91 103 93 76 91 95 90 104 95 95

Nutritionists help people plan diets to improve their health Some diets are based on a ratio of different types of nutrients The ratio depends on the goal of the diet One diet uses a ratio of 9 6 5 for carbohydrates protein and fat A nutritionist is developing a diet that provides 450 calories from protein per day Based on the nutrition ratio above and Bcalories should come from fat A calories should come from carbohydrates Hint Submit Answer

Solve for x 16x 5 18x 2 Ox 11 1 2 X x 3 1 Ox 11 12 x 3 1 12

Enter the correct answer in the box If I 0 what is the difference of 62 14 5 563 in simplest radical form 0 10 TE sin cos tan sin sin cos tan

Use the information to answer the following questions Paul is building a model space shuttle using a cone a cylinder and a hemisphere 6 in 3 in 3 in Activity 1 01 2 Part A What is the volume of the model space shuttle Activity 2 of 2 P Math symbols Relations Geometry Groups Trigonometry Statistics Series Greek Part B Paul and Julie are having a disagreement Julie says that if Paul doubles the height of the cylinder part of his space shuttle he will have a larger volume than if he doubles the width of his model space shuttle Paul thinks doubling the width will produce a larger volume Do you agree with Julie or Paul Defend your answer

A theme park guest takes an innertube into the wave pool The innertube moves up and down in a way such that the height h of the innertube in meters above the floor of the pool can be modeled by the function h asinbx 3 When the wave pool is turned on the innertube s height fluctuates between 2 meters and 4 meters with an interval of 8 seconds between maximums Based on the context of the problem what are the values of a and b a 1 and b 4 Oa 1 and b Oa 2 and b C 48 a 2 and b kla B

Find the surface area of the composite figure 4 cm 3 cm 5 cm 4 cm 5 cm 4 cm SA cm 2 3 cm 6 cm Enter

X 1 900 2 35 3 500 4 300 EX X X deviation Remember to use commas and round numbers to the nearest tenth X X X X 466 2 398 8 66 2 2 133 8 159 041 4 10 X X 398 668 6 The mean is The variance is 99 667 2 The standard deviation is n