Basic Math Questions and Answers

1 2 C 4 Consider a regular hexagon with each side of 2 cm shown below B F E 6a 6b D X C Diagram NOT accurately drawn If OA 6a and OB 66 as shown in the diagram Determine the following using vectors and 6 where possible When answer the question you do not need to place the vector signs where a vector answer is require A C 1 AB B C 1 AF C C 1 AE D 1 1 AE AE E 1 1 AB AC AD AE AF

You know that 60 min circles represents the amount of time for this conversion first circle always represents 60 minutes Select one these units of time cannot be compared

Inde A circuit system is given in the figure Assume the components fail independently a What is the probability that the entire system works b Given that the system works what is the probability that the component A is not working OS 0 6 0 8 a The probability that the entire system works is Type an integer or decimal rounded to five decimal places as needed 0 6 07

The planet XYZ travels about the star ABC in an orbit that is almost circular Assume that the orbit is a circle with radius 83 000 000 mi Assume there are 24 hours in one day on planet XYZ a Assume that XYZ planet year is 386 days and find the angle formed by XYZ s movement in one day b Give the angular speed in radians per hour c Find the linear speed of XYZ in miles per hour ABC 0 XYZ Not to scale a The angle formed by XYZ s movement in one day is radian s Simplify your answer Type an exact answer using r as needed Use integers or fractions for

Suppose that point P is on a circle with radius r and ray OP is rotating with angular speed o Complete parts a through c r 10 cm 0 5 T a What is the angle generated by P in time t radian 8 radian per sec t 5 sec 8 Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression b What is the distance traveled by P along the circle in time t S cm Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression

37 A family received a gift card to subscribe for streaming video service Every first day of the month the company deducts the monthly cost of the service from the card account The graph below represents the balance on the gift card Which of the following statements is a correct representation of the graph Balance 160 140 120 100 80 60 40 20 0 0 Gift Card Account 10 Number of Months 15 a The horizontal intercept is 18 It represents the dollar amount the family pays monthly for streaming videos 1 point 20 b The horizontal intercept is 18 It represents the initial amount of money on the gift card c The vertical intercept is 150 dollars It O represents a number of months the family can use a gift card account d The vertical intercept is 150 dollars It O represents the initial amount of money on the gift card

The pulley shown has a radius of 12 43 cm Suppose it takes 17 sec for 63 cm of belt to go around the pulley a Find the linear speed of the belt in centimeters per second b Find the angular speed of the pulley in radians per second a The linear speed of the roller is cm per second Tyno 12 43 cm

27 The chart right is a chart of deaths 1 point per year as the result of cigarette smoking Read the following statements and based on the information shown in the graph determine which of the following options is true Statement I Lung Cancer and Ischemic Heart Disease cause about 3 4 of cigarette smoking deaths Statement II Stroke causes the smallest number of cigarette smoking deaths Statement III Chronic Obstructive Pulmonary Disease causes about 21 of cigarette smoking deaths About 443 000 U S Deaths Attributable Each Year to Cigarette Smoking Other Diagnoses 44 000 Other Cancers 35 300 Stroke 15 900 Chronic Obstructive Oa Only Statement I is true Ob Only Statement III is true Pulmonary Disease 92 000 e All statements are true Average annual number of deaths 2000 2004 Source MWR 2008 57 45 1226 1228 Lung Cancer 128 900 Ischemic Heart Disease 126 000 c Both Statements II and I are true and Statement III is not true d Both Statements II and III are true and Statement I is not true

Let S contain vectors of the form f x a bx cx dx f 2 0 and f 4 0 11 Then a basis for S would be

Use the two box plots below to determine if questions 1 6 are true of Hip hip I Hooray 1 2 3 4 6 5 T YEAR S EVE THANKSGIVING NEW 0 5 10 15 20 25 NUMBER OF GUESTS AT DINNER 30 The range of guests at New Years Eve was 15 About 50 of Thanksgiving dinners had 17 or more people Everyone had at least one guest over for dinner at Thanksgiving The IQR of Thanksgiving dinner was 20 The median number of people at New Years Eve dinner was 15 Three fourths of New Years Eve dinners had five or more people Using the data given below create a five number summary and a box plot 7 The following data set represents the number of animal crackers in the snack size box 34 35 37 38 42 45 49 Min Q1 Med 8 The following data set represents the number of hours a small candle will burn 9 6 11 16 11 19 9 10 15 14 8 12 Min Q1 Med Q3

Question 2 2 5 Points May 31 8 00 17 PM In an all boys school the heights of the student body are normally distributed with a mean of 68 inches and a standard deviation of 4 5 inches Using the empirical rule what percentage of the boys are between 54 5 and 81 5 inches tall

Given LN 16 5 and MO 32 9 find the area of rhombus LMNO Round you answer to the nearest tenth if necessary 18 3 in L 18 3 in M O 18 3 in N 18 3 in

In circle H with m GHJ 120 and GH 15 units find the length of arc GJ Round to the nearest hundredth J G H

When Emily commutes to work the amount of time it takes her to arrive is normally distributed with a mean of 25 minutes and a standard deviation of 2 5 minutes Out of the 203 days that Emily commutes to work per year how many times would her commute be shorter than 21 minutes to the nearest whole number Question 2 2 5 Points May 31 7 59 26 PM Statistics Calculator

A recent poll suggests that 47 of American citizens are going to vote for the Democratic candidate for president with a margin of error of 4 5 a Determine the range of possible percentages the candidate could earn b Based on your answer for part a can you determine if the Democratic candidate will win the election Why or why not

May 31 6 29 05 PM hour A radioactive compound with mass 260 grams decays at a rate of 3 8 per Which equation represents how many grams of the compound will remain after 8 hours OC 260 1 038 8 OC 260 0 962 8 OC 260 0 038 OC 260 1 038 8 8 Submit Answer

Because the values of circular functions repeat every 21 they are used to describe things that repeat periodically For example the maximum afternoon temperature in a given city might be modeled by the formula below In the formula t represents the maximum afternoon temperature in month x with x 0 representing January x 1 representing February and so on XT t 40 20 cos 6 The maximum afternoon temperature in March is 30 Round to the nearest integer as needed In May the maximum afternoon temperature is Round to the nearest integer as needed

In Exercises 8 find the perimeter of the region D 4 mm 8

Which among the following would be an indicator suggesting recession O 90 day T bills rise and stay above 10 year Treasuries O The unemployment rate rises significantly and is expected to keep rising O Sales of new homes fall O Inflation rises and is expected to keep rising O Discretionary purchases like sales of new automobiles fall dramatically

Pisk of a portfolio would best be measured by the O covariance relative to US Treasuries O correlation coefficient O portfolio beta O variance standard deviation

Using the Matrix Inversion Algorithm find E the inverse of the matrix E below 0 0 500 000 1 0 0 10 1 0 000 00 5 1 00 00 0 1 10 00 0 00 E E Note If a fraction occurs in your answer type a b to represent What is the minimum number of elementary row operations required to obtain the inverse matrix E from Eving the Matrix Algorithm

In the early stages of a business cycle the yield curve tends to be O inverted O high and downward sloping O low and upward sloping O flat

What is another non linear pattern besides logarithmic Use the paperclip button below to attac

Investing today and looking forward a few years from now your portfolio s returns would likely have lower risk if invested in there is insufficient information to determine this a leveraged portfolio using margin to invest in stocks and bonds O 100 stocks a blend of stocks and bonds 100 bonds

contains only the vectors 2 4x x 4x 1 4x2x 4x 6 16x 6x 2 2x 16x new linearly independent set with the same span would be

1 Determine how many triangles can be formed for each of the following a AABC where ZA 30 a 15 b 12 b AABC where ZA 50 a 9 b 8 c AABC where ZA 50 a 7 b 8 JV 17 770 135

Given cos 2 where 0 360 a in which quadrant could the terminal arm of lie b determine all possible primary trigonometric ratios for 0 c evaluate all possible values of 0 to the nearest degree

1 In AABC B 90 b 17 5 cm a 12 3 cm Solve the triangle 3 include a diagram as part of your solution

Evaluate Give exact answers when possible sin210 b cos315 c 4 tan120 d cos190

W Nancy buys a TV for 80 down and 24 monthly payments of 35 each The first payment is due next month The interest rate is 17 2 per annum compounded monthly What is the selling price of the TV For the toolbar press ALT F10 PC or ALT FN F10 Mac

2 points needs 5900 per year for 4 years for university tuition She will start university in 1 year She can invest her money at 6 1 compounded annually How much will an annuity Rachel cost For the toolbar press ALT F10 PC or ALT FN F10 Mac Save Am

6 men and 5 women want to form a mixed doubles tennis pair a man and a woman for a tennis match How many different pairs are possible Select one O a 15 Ob 60 c 30 Od 6 2 six sided dice one colored green and one red are released What is the probability that the score on the green die is either 1 or 5 Select one a 1 Time left 2 5 Ob 1 3 O c 1 6 O d 3 6

6 4 points Sandra is participating in a cycle a thon to raise money for cancer research The course that has been set up for participants to travel is in the shape of a triangle Two of the angles of the course are 113 and 47 and the length of the side between these two angles is 4 1 km For each kilometre that Sandra cycles she will raise 14 70 for cancer research Determine how much money Sandra raises if she cycles the course 3 times

5 2 points The path of a race car is shown What is the straight distance from the start to the finish to the nearest metre 95 m A 110 m 75 Start

Section 1 Thinking Inquiry Directions For each of the questions in this section show all your work for full mark 1 2 points In triangle AABC ZA 90 b 4 2 m and c 8 3 m Solve for ZB to the nearest degree

3 3 points Determine the measure of ze to the nearest degree 8 1 9 7 0 6 4

Simplify 6r 2 5 Enter your answer as an expression in terms of r Use the symbol for a power 3 4 34

Jake studied thours for a big test Julie studied twice as long Write an algebraic expression for long Julie studied

Question 8 Evaluate 7w 4p for w 3 and p 5

Monico recently hired a landscaper to do some necessary work total of 934 385 was listed for parts and the rest for labor many hours of labor was needed to complete the job A First write an equation you can use to answer this question Use x as your variable The equation is On the final bill Monico was charged a the hourly rate for labor was 61 how B Solve your equation in part A to find the number of labor hours needed to do the job Answer The number of labor hours was

Suppose you want to subtract 7 10 Re write this subtraction as an ADDITION of signed numbers 7 Now actually compute 7 10 Next Question

Question 22 Use the rule for order of operations to simplify the expression 59 37 8

Simplify using the rule for order of operations if necessary 12 1 2 11 Next Question

Add using the rule for order of operations if necessary 8 3 2 13

Suppose you want to subtract 4 8 Re write this subtraction as an ADDITION of signed numbers 4 8 Now actually compute 4 8

Find a model for the Body Mass Index BMI of a person given that BMI varies directly as a person s weight in pounds and inversely as the square of the person s height in inches If a 7 ft tall person weighing 192 lb has a BMI of 19 13 how much weight would a 5 ft 7 in tall person weighing 128 lb need to gain or lose to have a BMI of 21 Write your answer as a positive value for weight gain or a negative value for weight loss Round your answer to one decimal place Answer Keypad Keyboard Shortcuts

Use the information given below to find the exact value of the indicated trigonometric function a Draw the angle 0 in the corresponding quadrant in an x y coordinate plane b Show the double angle formula you use to find sin 20 c Use a and b to find sin 20 No work no credit Circle your final answer cos 0 15 tan 0 0 Find sin 20

Convert the rectangular equation to polar form No work no credit Circle your final answer 8x9y 10 0

Convert 8 3 kg to pounds and ounces Conversion ratios 1 lb 16 oz 1 kg 2 2 lb Round the ounces to the nearest hundredth C 0 00 0 04 Units you started with Speed 1x X TU 1 1 11 U sta

Suppose you are developing an Excel spreadsheet that finds the unit price of any object You plan to put the number of units in cell D2 and the price of the object in cell E2 Which formula would correctly calculate the unit price CA 0 00 0 15 A E2 D2 Speed 1x Paused