Basic Math Questions and Answers

How many games are necessary for a two team elimination tournament with 16 teams games

A pendulum is swung 35 cm and allowed to swing freely until it eventually comes to rest Each subsequent swing of the bob of the pendulum is 90 as far as the preceding swing How far will the bob travel before coming to rest cm

Advertisements say that a new type of superball will rebound to 9 10 of its original height If it is dropped from a height of 9 ft how far based on the advertisements will the ball travel before coming to rest Find the total distance that the ball will travel before it stops bouncing ft Q Shutterstock com

24 25 0 26 00 27 X 28 S 29 A twelve sided die with sides labeled 1 through 12 will be rolled once Each number is equally likely to be rolled What is the probability of rolling a number less than 2 Write your answer as a fraction 30 31 32

blocks a stack like the one shown in the figure if the bottom row has 27 blocks

25 26 Here are the numbers of times 9 people ate out last month 6 4 7 5 4 4 7 5 5 Send data to calculator 28 Find the modes of this data set If there is more than one mode write them separated by commas If there is no mode click on No mode DO Why X No mode S 29 30

Find the sum of the first n even positive integers

The Peanuts cartoon see figure expresses a common feeling regarding chain letters Consider the total number of letters sent after a particular mailing 1st mailing 2nd mailing 3rd mailing Determine the total number of letters sent in four mailings of the chain letter letters 6 6 36 42 6 36 216 258

valuate the expression 16 1k 1 k 1

The game of pool uses 15 balls numbered from 1 to 15 see figure In the game of rotation a player attempts to sink a ball in a pocket of the table and receives the number of points on the ball Answer the question How many points would a player who runs the table receive To run the table means to sink all the balls points 13 og

Evaluate the expression 10 W k 8 k

Find the requested terms Find the first five terms of the sequence where S1 S2 S3 S4 S5 S 1 S 1 and Sn Sn 1 Sn 2 n 3

There are 4 red marbles and 9 blue marbles in a bag 9 a What is the ratio of blue marbles to all marbles in the bag b What is the ratio of red marbles to blue marbles

moose ONE 1 of the following questions 3 Ferris wheel has a radius of 7 m The centre of the wheel is 8 m above the ground The Ferris wheel rotates at a constant speed of 15 s The height above the ground of the only red seat can be modelled by the function h t 8 7 sin 15t a Determine the height of the red seat at the start of the ride b When is the red seat at its maximum height during the first rotation c When is the red seat at its minimum height during the first rotation d How long will it take for the red seat to complete two full rotations

Sn ing sequence n 1 n 1 a Find the first three terms of the sequence whose nth term is given 10 2 S2 1 3 3 2 4 b Classify the sequence as arithmetic geometric both or neither O arithmetic O geometric O both Oneither If arithmetic give d if geometric give r if both give d followed by r If both enter your answers as a comma separated list If neither enter NOI Need Help Read It

Consider the following sequence 1 1 2 1 3 1 2 3 4 1 2 3 3 4 4 5 5 5 5 6 a Classify the sequence as arithmetic geometric Fibonacci or none of these O arithmetic O geometric O Fibonacci Onone of these b If arithmetic give d if geometric give r if Fibonacci give the first two terms If Fibonacci enter your answers as a comma separated list If none of these enter c Supply the next term

8 4 f t 4 8 Which of the follow is the complex Four series representati the signal

Work out the exterior and interior angles of this regular polygon exterior interior O 1 1

Work out the exterior and interior angles of a regular polygon with 20 sides exterior interior O O 1 1 Work out the number of sides of a regular polygon with interior angle 178 number of sides 2

Multiple Choice Google s News Lab and Facebook s Journalism Project are developing programs that p signal jamming O poor quality internet O globalization threats censorship threats

How many flowers spaced every 6 inches are needed to surround a circular garden with a 10 foot radius flowers Round to the nearest whole number as needed www

Sir Toby These clothes are good enough to drink in so be these boots An they be not let t Chemselves in their own straps What is personified in the above lines The clothes are personified as humans The clothes are personified as straps The drinks are personified as boots All of the choices

Solve the given initial value problem using the method of Laplace transforms Sketch the graph of the solution w w u t 2 u t 4 w 0 1 w 0 0 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms First identify the appropriate Laplace transform s that should be applied to solve the given initial value problem Select all that apply DA n sn 1 B u t a as S c e t 1 s a D 1 s s c f s f 0 E COOR f s s f s sf 0 f 0

Choose ONE 1 of the following questions ACD is a triangle in which ZACD 90 AD 17 cm and CD 8 cm B is a point on AC such that ZBDC 30 Calculate a AC b BC c AB 1 17 as fom 6 Joe and George are part of a scientific team studying thunderclouds The team is about to launch a weather balloon into an active part of a cloud Joe s rope is 7 8 m long and makes an angle of 36 with the ground George s rope is 5 9 m long How far to the nearest tenth of a metre is Joe from George

X s a 1 5 0 Re s a X t e 2 b xlt e 2 ise Xlt t at ult 2 at ul t Xit t e atul t C d X t t e atult 2 Xlt eatult 12 ot u t

Question 8 5 points t tult 1 sinyalinin Loploce d C S e s 5 1 es s 1 52 es 5 1 52 d n m nedir S e S 1 52 e f S 1 5 S e s 1 Question 1015 Bo rusal somente defirsmingen bir sistemin d rt 52 tepkesi

B is an enlargement of B Find the centre 5 scale factor 5 B B 2 2 5

Scale factor 0 5 centre Q Q DE OF OG

Andy Mann is building a garden fence out of planks The planks are 10 cm wide to the nearest cm He needs to make 66 m of fencing altogether correct to the nearest metre How many planks does he need to order to make sure he has enough to complete the fence planks 4

Given A particle travels along a path described by the parabola y 0 5x The x component of velocity given by v 5t ft s When t 0 x y 0 X Find The particle s distance from the origin and the magnitude of its acceleration when t 1 s

Aaron is investigating how long his phone s battery lasts in hours for various brightness levels on a scale of 0 100 His data is displayed in the table and graph below Hours Brightness Level x Hours y 124 11 10 9 8 7 65 32 N 17 22 29 32 52 64 69 95 6 4 6 4 5 9 8 1 3 4 2 1 5 1 0 8 10 20 30 40 50 60 70 80 90 100 Brightness Level What is the residual for the point 32 8 1 Round to 4 decimal places hours 110

Expenditures in a textile company 17 7 24 2 25 5 34 6 Click to expand image Investment on raw materials Manufacturing cost Labor cost Marketing cost Question 37 of 37 The pie chart displayed illustrates the expenditures of a textile company What is the tota percentage of expenditures incurred on raw materials and manufacturing Select a Choice Below A B 23 5 34 6

The average price in cents per pound of sugar observed during the period September 2012 to September 2013 in most US cities is displayed in the line graph provided What was the percentage increase in the price in cents per pound of sugar from November 2012 to January 2013 Price in Cents per Pound 18 6 17 8 17 0 16 2 15 4 14 6 13 8 13 0 Average price of sugar in US cities Sep 12 Oct 12 Nov 12 Dec 12 Jan 13 Feb 13 Months Mar 13 Apr 13 May 13 Jun 13 Jul 13 Aug 13 Sep 13

Try Again a The elements listed are incorrect For the universal set U 3 4 5 6 7 complete the parts below Write your answers in roster form or as a Suppose we know that A 3 6 7 Then what would have to be b Suppose B 5 6 7 Then what is B X 0 0

The higher the risk of a security the higher its expected return will be A bond s risk level is reflected in its yield but understanding the different risks involved when investing in bonds is important The following graph shows the relationship between interest rates and maturity for three security classes US Treasury securities USTS AA rated corporate bonds and BBB rated corporate bonds Use the selection dropdown lists to correctly associate each curve with its corresponding security class YIELD 15 12 9 6 3 0 5 10 15 20 25 30 YEARS TO MATURITY A B C

1 point Find a formula for the parabola through the points 5 2 and 8 7 whose graph is given below f x formulas y 5 2 help 8 7 X

Explore the Venn Diagrams eManipulative and then use this Venn Diagram to answer the question Cats 5 3 Dogs 10 Fish 4 The Venn Diagram shows the number of families that have cert families types of pets How ma families have dogs as pets

Is the function represented by the following table linear or quadratic Choose the correct answer with the correct explanation X 0 1 2345 f x 10 4 2 4 10 20 Quadratic because the 1st differences are not the same but the 2nd differences are O Quadratic because both the 1st differences and the 2nd differences are the same Linear because the 1st differences are the same but the 2nd differences are not

Write the following set in set builder notation where U 1 2 3 20 5 10 15 20 Write the given set in set builder notation Choose the correct answer below OA xEU x is divisible by 10 OB OC xEU x is odd OD xEU x is divisible by 5

Consider Given that A R R B R3 R3 R R R 2R C A R R 0 1 1 C 2 d 0 b 60 4 0 D a 4 1 1 R3 R R2 R R 6R E F 1 2 6 21 0 5 3 17 7 3 0 3 7700 0 0

Who am I If you multiply me by 4 and add 20 the result is 68 The unknown number is

Let A be a 4 x 4 matrix with eigenvalues A 3 A 2 A3 1 A4 4 and corresponding eigenvectors O If P Then A is diagonalizable and P AP D 1 1 2 1 1 1 1 which ONE of the following is the corresponding matrix D 2 1 O 0 0 2 1 1 0 T 3 0 2 0 0 0 1 0 0 0 0 2 0 0 4 0 3 0 0 4 0 0 1 0 0 0 0 T 0 0 4 0 0 0 X 00 X

The figure to the right shows an addition pyramid in which each number is the sum of the two numbers immediately below For each of the incomplete addition pyramids show that the values in each square can be determined by forming and solving an equation in the unknown variable shown Complete parts a through c below Use this equation to complete the addition pyramid below 2 13 y 3 2 Type an expression using z as the variable 13 3 c In terms of z what is the value of the middle entry in the bottom row of the addition pyramid to the right Use the third row to find in terms of z the value of the second entry in the second row Simplify your answer Type an expression using z as the variable Which of the following is a valid equation for the addition pyramid Choose the correct equation below OA 19 7 19 z 6 OB z z 1 19 C z 6 z 19 CELO 6 Z 19 3 7 8 17 5 6 6 9 4

Consider the trapezoidal numbers 1 1 1 1 2 2 2 1 1 2 3 3 3 2 1 The nth trapezoidal number is 1 2 n n n 2 1 where n is a positive integer Complete parts a through c below a Create a dot pattern representation of the trapezoidal numbers Select the correct answer below OA OB O C OD b Notice that 1 1 1 1x3 1 2 2 2 1 2x4 and 1 2 3 3 3 2 1 3x5 Show how the dots in a representation of a trapezoidal number can be rearranged into a rectangle with two more columns than rows A O B C OD

Find the value of the trigonometric function Round off the result according the provided table cos 22 07 cos 22 07 Measurements of Angle to Nearest 1 0 1 0 01 Accuracy of Trigonometric Function 2 significant digits 3 significant digits 4 significant digits

When Anita made a purchase she gave the clerk a dollar and received 21 cents in change Complete the table to show what Anita s change could have been Dimes 2 1 1 1 0 0 0 Nickels 0 2 1 3 1 Pennies 1 11 1 6 11

a Fill in the blanks to continue this dot sequence in the most likely way 800 2 b What number sequence corresponds to the sequence of dot patterns of part a c What is the 25th term in the sequence of part b the 90th term d Which term in the sequence is 242 a Which term will go in blank 1 A 000 0 00 Which term will go in blank 2 OA B OB b What number sequence corresponds to the sequence of dot patterns of part a Use a comma to separate answers as needed Use ascending order c The 25th term in the sequence of part b is The 90th term in the sequence of part b is Th the sequence is 242 OC D OD

Find the perimeter and total area of the polygon shape shown below 8 10 10 12 12 28 10 10 Perimeter 8 56 inches Area 192 square inches Perimeter 96 inches Area Perimeter Perimeter 56 inches Area 96 inches Area 144 square inches 288 square inches 192 square inches

Four married couples belong to a bridge club The wives names are Kitty Sarah Josie and Anne Their husbands names in some order are David Will Gus and Floyd Use the table below to sort out who is married to whom Complete the table below David Will Kitty David is Kitty s brother Kitty and Floyd dated some but then Floyd met his present wife Josie is married to Gus Sarah has two brothers Sarah s husband is an only child C Sarah Josie Anne

The measure of one angle is shown in the figure Given find the measures of the other seven labeled angles m21 565 m22 124