Basic Math Questions and Answers

At the end of a movie the year of the copyright date is given in Roman numerals If the numb reads MCMLXXV when was the movie made The movie was made in the year THE VITEN

Factor the expressions a xy y b x 1 y x 1 a xy y b x 1 y x 1

State the name of the property illustrated 9 3 6 9 6 3 The expression is an example of which property OA Associative property of addition OB Commutative property of addition OC Identity property of addition

Simplify each of the multiplications in parts a through d below using properties of exponents Use the given value as the base J Type your answer using exponential notation Simplify your answer c 65 35 25 use 6 as the base 65 35 25 Type your answer using exponential notation Simplify your answer d 85 167 32 use 2 as the base 5 HE 7 4

Using the distributive property of multiplication over addition we can factor as in x xy x x y Use the distributive property and other multiplication properties to factor each of the following expressions 2 a xy y b xy x c a b ab a xy y b xy x c a b ab FA

In each of the following tell which computation should be done last III 14 5 4 8 1 5 16 8 18 II 54 10 5 8 IV 720 360 8 BE Which computation should be done last in 5 16 8 18 OA Subtract 8 OB Subtract 18 OC Multiply by 5 Which computation should be done last in 54 10 5 8 OA Add 8 SR Determine 10 5 A

Rewrite each of the following as a base ten numeral a 4 10 9 10 8 10 b 6 106 4 10 3 a 4 10 9 10 8 10 b 6 106 4 10 3 Simplify your answer Simplify your answer

Find the missing digits in each of the following subtraction problems b a 21 2 1 4 4 4 a Fill in the missing digits Type whole numbers 2 1 9 6 b Fill in the missing digits Grecubolo nu 9 6 1 003 8 167 0 8 679

Convert the following angle to decimal degrees x 2 54 24 0 This question 1 point Round to 3 decimal places as neec

The field of advertising is notorious for logical enors While the conclusion reached in an advertisement may be true the logic used to reach that conclusion may be based on an invalid argument Find 3 misleading advertisements in a news paper or magazine that use implied conditional statements ie if you stop here your pain will too Bring in a copy of the ad Rewrite the ads improper conditional statement form in proper conditional form Write a detailed report on how the ad is misleading and how it may b misleading Discuss why it is difficult to make an ad that is not misleading Construct a truth table for the compound statement be written to be less

80 90 100 110 120 Child s reading test score 50 80 02 Dall OF 2011 30 20 90 95 100 105 115 120 Child s IQ test score 130 135 140 145 150 If another child in this class has an IQ score of 145 predict the child s reading score x Your answer can be within 5 points x Your answer can be within 5 points of another child in this class has an IQ score of 145 predict the child s m 3 G E 5 C Child s reading test score 30 20 30 40 90 100 110 120

4 2 points Consider two curves in space parametrized as follows r t t t t q t 3 t cos t t 2 a Find a point of intersection of these 2 curves b Find an equation of the plane tangent to both curves at the point of intersectio from part 4a

5 If you ordered a 10 length of 3 cast pipe and had to cut two pieces out of it one 1 8 1 2 and the other 7 4 5 8 how much would you have left 3 marks show all work for full marks ensure that all fractions are in their lowest form Put final answer in box

3 For the following isometric draw how the fitting would look in orthographic beside the view given 12 A front B C E

5 Factories ofter add filler when making meatballs bold by the bag Ore factory obtained 90 beef 1 4 of 1 4 pound of beef How mary dunces of filler will the factory reed in order to make meatballs out of this shipment of beef ghor each

5 30 points 10 of which are bonus An n x n matrix A is called symmetric if A AT A symmetric matrix A is called positive definite if x Ar 0 for all non zero n x 1 matrices z Now let A be such a symmetric positive definite matrix Let e be the i th column of the n x n identity matrix 5 1 In terms of e1 e2 en ef e e and A using the idea of matrix multiplication fill in the following blanks The i th row of A can be expressed as The i th column of A can be expressed as The entry at i th column and j th row of A can be expressed as 5 2 Let r a11 a12 ain be the first row of A Please determine the value of bi in terms of a11 ain such that the following matrix equation is true a11 012 T1 ain b 1 b12 1 1 b1 n 1 1 0 0 0 B where B is a n x n 1 matrix and all the entries of B that are not written are 0

A company determines that monthly sales S t in thousands of dollars after t months of marketing a product is given by S t 31 6012 290t 140 a Find S 1 S 3 and S 4 b Find S 1 S 3 and S 4 c Interpret the meaning of your answers to parts a and b a First find S t S t 912 120t 290 S 1 Simplify your answer

When an object is dropped on a certain earth like planet the distance it falls in t seconds assuming that air resistance is negligible is given by s t 14t where s t is in feet Suppose that a medic s reflex hammer is dropped from a hovering helicopter Find a how far the hammer falls in 3 sec b how fast the hammer is traveling 3 sec after being dropped and c the hammer s acceleration after it has been falling for 3 sec a The hammer falls Simplify your answer feet in 3 seconds

Given s t 12 4t where s t is in feet and t is in seconds find each of the following a v t b a t c The velocity and acceleration when t 2 sec a v t

For y x610x 3x find d5y 5 dx 0 d5y 5 dx

and y y x x 3 Choose the correct expression for y below OA 2 x x 1 3x 1 3 OB O C OD 4x x x 1 32 x x 4 3 3x 1 x x 4 3x 1 4x x x 4 3x 1

Find d y 2 dx y d y dx 10x 1 6

Find y y 3x 2 2x 5

Find f x f x x 5 5 f x

Find f x f x 3x 3 C

Find f x f x x1 7

Find f x f x 4x 12x xw c 3

d y 2 dx y 6x 4 Find d y dx

Find d y 6 2 d y 2 dx y 11 6x5 5 2x

Write the number given below as a decimal numeral 11110000 two

Change 514 to base eight eight

The mass of a sample of a saturated soil is 540 grams The dry mass after onven drying is 420 grams The specific gravity of solids is 2 7 Determine 1 Degree of saturation is S 100 2 The mass of water is 120 3 The volume of water is 120 4 The volume of solid is 155 55 5 The water content w 6 The void ratio e 0 77 28 6 7 Saturated unit weight Ysat 8 Dry unit weight Yd 15 9 Porosity n 43 5 10 If emax 9 cm 19225 cm kN m kN m 1 and emin 0 6 the relative density Dr 83 25

Organizations are all of the following select all that apply O Social Governed by individual behavior Linked to the external environment Recursive Scientific Goal directed

When organizing tasks into jobs and positions managers must determine all of the following except O qualifications for the job O opportunities for the job specific tasks for the job authority for the job

The organization and management of hospitals are different from and more complex than they are in other types of organizations because some workers are O members of a labor union O contractors O part of a clinical medical staff volunteers

Change the number to base ten 424 five

Write the numeral in the Roman numeration system 1 034

Write the numeral in the Roman numeration system 44

Write the number given below as a decimal numeral 11110010 two

Write the number given below as a binary numeral 54

Change the number to base ten 413 five

Give the meaning of the numeral 6 in the number 6 104 6 tens 6 hundreds 6 thousands 6 ten thousands 6 hundred thousands

ore than six times a number results in

5 less than a number

Consider f x 2 5 x 4 a Find f x using the Quotient Rule and the Extended Power Rule b Note that f x x 5 x 4 Find f x using the Product Rule and the Extended Power Rule c Compare your answers to parts a and b a f x

4 fix x 4x 2x 3 What is the sum of the solutions to jx g x 0 g x 3 x N f 4 g OA OB OC OD 0 1 3 4

Let a cost function be defined by Cost in dollars 100 5x 10 C x 3 x 8 50 if x 8 where C is the cost in dollars for x kilograms of bulk cashews Its graph is shown Solve for x C x 110 O 10 C Weight in kilograms if 0 x 8 20 OA OB OC OD 20 25 27 28

Given the piecewise function defined by ax b if x 2 F x cx d if x2 2 where a b c and d are real constants Its graph is shown Determine the sum of a b c d 4 2 3 2 10 1 2 F 2 3 4 OA 2 OB 5 OC OD 6 7

What is the perimeter of the rectangle type in you answer Type in your answer 13 5 cm

1 i The term 2 1 i where i 1 is most nearly O 1 i O 0 O 1 i O 1