Basic Math Questions and Answers

Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform Complete parts a and b below e t sin 8t t4 e5t Click the icon to view the Laplace transform table a Determine the formula for the Laplace transform et sin 8t t e5t Type an expression using s as the variable

Let f t be a function on 0 00 The Laplace transform of f is the function F defined by the integral F s Sestf t dt Use this definition to determine the Laplace transform of the following fun f t 19 t 0 t 19 0 19 t Set up the integral F s F s 8 0

Let f t be a function on 0 o The Laplace transform of f is the function F defined by the integral F s 0 f t cos bt b a constant The Laplace transform of f t is F s Type an expression using s as the variable Type an integer or a fraction It is defined for s 00 estf t dt Use this definition to determine the Laplace transform of th

A former student was recently fired from a major facility in violation of HIPPA regulations A celebrity and his wife came into the facility The student ypes in Facebook OMG guess who just walked into my work and typed their name Other co workers were friends on her Facebook page saw the posting and the student was terminated from her position the next day Do you think she should have been fired Why or why not

Categorize the graph as linear increasing linear decreasing exponentia growth or exponential decay 10 8 8 N 10 884 2 2 4 6 8 10 T 4 8 10 OA Linear increasing OB Exponential decay O C Linear decreasing D Exponential growth

You are working at a new job and meet a co worker whom you believe is rude and inconsiderate You learn that this person is a member of the political Conservative Party You are a long time supporter of the Liberal Party and believe that this person s behavior confirms your view that all Conservatives are rude and inconsiderate What perceptual error are you making Halo Effect Perceptual Defence Projecting Stereotyping

Ceccom Area of 4 125 in San An Sin tual distance from San Antonio to Houston is approximately 190 miles use the lengths of the line segments indicated in the figure along with similar triangles to approximate actual distance from Dallas to Houston actual distance from Dallas to San Antonio

figure m is parallel to n and 126 Find the measures of the other angles 87 m The measu The measu

the top of the table will be parallel to the ground asure of angle x is 37 asure of angle y is 180 in Cm

sine the measure of In the figure 4ABC makes an angle of 105 with the floor and I are parallel B

Determine the measure of an interior angle of the named regul r polygon a side of the polygon is extended determine the supplementary angle of an interior angli Octagon The measure of each interior angle of a regular octagon is

The sum of the measures of the interior angles of a dodecagon is

Consider how the operations of multiplication and division compare to addition and subtraction of integers Create four unique word problems one that requires each of the four operations to come to a solution Please make sure that at least one of your problems includes a negative integer

ich is the correct name of the quadrilateral Trapezoid Rhombus Parallelogram Square

Which is the correct name of the quadrilateral O Square O Rhombus O Parallelogram O Rectangle

Use the figure to the right to a identify the triangle as scalene isosceles or equilateral and as b acu parallel lines on two or more sides indicate that the marked sides are of equal length a Is this triangle scalene isosceles or equilateral Isosceles OEquilateral Scalene b Is this triangle acute obtuse or right O Right O Acute O Obtuse

Use the figure to the 10 0 markings the two small parallel lines on two or more sides indicate that the marked sides are of equal length a Is this triangle scalene isosceles or equilateral O Equilateral OIsosceles O Scalene

se the figure to the right to a identify the triangle as scalene isosceles or equilateral and as b acute obluse of arallel lines on two or more sides indicate that the marked sides are of equal length a Is this triangle scalene isosceles or equilateral Isosceles Equilateral Scalene

correct choice that completes the sentence below ns are similar if their corresponding angles have the same measure and the lengths of their corresponding sides

se the polygon to the right to complete parts a and b Name the polygon If the polygon is a quadrilateral give its specific name State whether or not the polygon is a regular polygon What is the name of the polygon Nonagon Decagon Triangle Rectangle D is the polygon regular or not regular Regular Not Regular WEES

a Name the polygon If the polygon is a quadrilateral give its specific name b State whether or not the polygon is a regular polygon a What is the name of the polygon Nonagon O Decagon O Triangle O Rectangle

In the blank so that the resulting statement is true sum of the measures of the interior angles of a trian

ution SL LIN ge Windows Windows XP Windows Vista Windows 2000 Others Question 5 of 6 Skip The distribution of different Operating Systems OS in an organization is represented by the pie chart displayed What is the share of Windows 7 in the total OS distribution of the organization Select a Choice Below A 26 66 B C 46 17 4 17

The perimeter of a square must be greater than 124 inches but less than 172 inches Find the range of possible side lengths that satisfy these conditions Hint The perimeter of a square is given by P 4x where s represents the length of a side Express your answer in interval notation Use decimal form for numerical values

Find the missing side or angle Round to the nearest tenth C 95 b 6 a 5 c

X 0 y x y x x 0 2 x 2 x z r 7 8 P 0 1 x 1 5 P x determinant n n de

4 3 21 2 4 61 B 3 2 5 matrisini arpanlara ay

nixed number with the fraction part reduc 58 27

a 1000 units b 2500 units c 5500 units demand equation is given by x 5000 100p Find the marginal revenue for the given production levels values of x Hint Solve the demand equation for p and use R x xp What is the marginal revenue function R x X 50 a Choose and fill in the correct response for x 1000 R x 50 A The marginal revenue at 1000 units is production levels per 1 OB The marginal revenue at units is 1000 production levels per 1 OC The marginal revenue at units is 1000 per production level D The marginal revenue at 1000 units is 30 per production level b Choose and fill in the correct response for x 2500 OA The marginal revenue at units is 2500 per production level OB The marginal revenue at 2500 units is per production level OC The marginal revenue at units 2500 production levels per 1 OD The marginal revenue at 2500 units is production levels per 1 GUES 5

3500 3000 2500 2000 1500 1000 500 0 Anderson Employees Salary Smith John Employees lick to expand image Bradley Isla Question 7 of 8 Skip The bar graph provided displays the weekly salaries of employees in dollars working in the marketing department of a firm How much does the firm pay John Select a Choice Below A B C D About 3 000 About 1 500 About 2 000 About 1 800

fficials in a particular state have raised and lowered the state sales tax in various years as hown in the accompanying figure Let T x represent the sales tax rate as a percentage in year Find the given quantities 8 X 7 5 7 6 5 6 5 5 5 4 5 4 3 5 2001 2005 2009 2013 2017 Year Q Q 2 OB e Find lim T x X 2017 GA lim T x does not exist Select the correct choice below and if necessary fill in the answer box to complete your choice OB x 2017 lim T x 6 25 B X 2017 Type an integer or a decimal lim T x does not exist X 2017 1 Find lim T x x 2017 Select the correct choice below and if necessary fill in the answer box to complete your choice OA lim T x X 2017 Type an integer or a decimal lim T x does not exist x 2017 g Find all values on the interval 2001 2018 where T is discontinuous

Sabrins in dollars 3500 3000 2500 2000 1500 1000 500 O Anderson Employees Salary h John Smith Employees Click to expand image Bradley Question 6 of 8 Skip The bar graph provided displays the weekly salaries of employees in dollars working in the marketing department of a firm Which employee receives the highest salary in the marketing department Select a Choice Below A B C Bradley Smith Anderson

10 Favorite Sport 1 1 Hockey Baseball Tennis Basketball Football Sport Type Click to expand image Golf Question 4 of 8 EazieMinds magazine conducted an opinion poll of its readers to determine their favorite sport The survey results are displayed in the provided bar graph How many readers indicated that hockey was their favorite sport Select a Choice Below A B C About 70 About 75 About 60

a of cell phones sold of cell phones sold 5 of cell phones sold Figure 1 20 So 0 Cellular phone Sales 25 Sony Figure 2 Sony Nokia Cellular phone Sales Sony Brands Apple Samsung Nokia Apple Samsung Brands Cellular phone Sales Nokia Apple Samsung Brands Question 3 of 8 The data provided gives the number of cell phones sold by a cell phone retailer during a particular month Select a Choice Below A Brand Sony Nokia B Apple Samsung 16 Choose the bar chart that best represents the above data C Figure 1 Figure 2 Frequency Figure 3 10 20 5

Case Study 1 Buying vs Leasing 28 marks Jim has chosen the car he wants and must now decide whether to buy or lease it The car has an MSRP of 21 977 and a residual factor of 34 Jim negotiates a 500 discount and must pay the following additional costs 660 freight charge 100 tire air tax 75 gas tax 85 administration fee 74 licence plate fee 20 gas fee Regardless of whether Jim buys or leases the car the financing is 6 9 compounded monthly for 48 months If Jim buys the car the finance fee is 54 If he leases the car the finance fee is 36 a Create a deal review and a lease quote for Jim s car see attached b What is the difference in monthly payments c What is the total cost in each case d What factors should Jim consider as he decides whether to buy or lease

Find the length of side b Leave answer to 1 decimal and do not leave a space between the answer and units a B a 68 40 c 92 9 m Y b a

Write the first 3 terms of each geometric sequence a in 4n 1 b tn 6 3 n 2 6 c tn 8 1 2 n Enter your responses in the space provided Be sure to include a b and c in your responses to indicate the answe For the toolbar press ALT F10 PC or ALT FN F10 Mac

QUESTION 12 State the 12th term in the following sequence 18 13 38 33

State the 17th term in the following sequence 8 8 24 40 QUESTION 14 State the 16th term in the following sequence 1974

Write the first 3 terms of each geometric sequence a tr 4n 1 b tn 6 3 n 2 t 8 1 2

For each of the following sequences find t and t10 a 51 53 55 57 b 6 3 12 21

Decide whether or not the function is continuous in the indicated x interval 3 0 B O Not continuous 29 3 X

Find all points where the function is discontinuous OA x 2 x 1 OB x 2 O C x 1 OD None 4X

The general term of a sequence is tn 2n 25 a Find the first 3 terms of the sequence b Identify if the sequence is an arithmetic one a geometric one or neither

1 point Consider the graph shown below F Note that if you click on the graph it will display a larger version in a new window Determine whether each of the following statements about the graph is true or false G B C V E 1 D C F G C is a closed walk D 2 A D C G F B E C A is a circuit 3 A D C G F B E A is a cycle 4 A D C G F B E C A is a simple circuit 5 A C F G C D is a trail from A to G 6 A C E A is a closed walk 7 A C F G C D is a path from A to G

a d Figure b e 1 2 shows complementary angles c f 2

Jackie s parents invested a sum of money for her for 9 years The investment earned an average of 7 5 compounded semi annually Jackie received 3500 when the investment matured How much did Jackie s parents invest QUESTION 8 A principal of 870 amounts to 1105 10 after 2 years The interest rate is compounded quarterly What is the annual interest rate QUESTION 9 unts to 1947 42 at 55 compounded annually How long does it take in years

5 Identify the figure as a line half line ray line segment p Which of the following descriptions and symbols correspond to the figure O half line DC ray DC Oline CD half line CD O half open line segment CD O half open line segment DC 110 ray CD open line segment CD line segment CD

An angle that measures 90 is a n An angle that measures 90 is a n angle and

Assume that a demand equation is given by x 8000 100p Find the marginal revenue for the given production levels values of x Hint Solve the demand equation for p and use R x xp a 2500 units b 4000 units c 4500 units OA The marginal revenue at 2500 units is OB The marginal revenue at units is 2500 production levels per 1 production levels per 1 OC The marginal revenue at 2500 units is per production level OD The marginal revenue at units is 2500 per production level b Choose and fill in the correct response for x 4000 OA The marginal revenue at units is 4000 per production level OB The marginal revenue at 4000 units is per production level OC The marginal revenue at units is 4000 production levels per 1 OD The marginal revenue at 4000 units is production levels per 1 c Choose and fill in the correct response for x 4500 A The marginal revenue at 4500 units is production levels per 1 OB The marginal revenue at 4500 units is per production level OC The marginal revenue at units is 4500 per production level OD The marginal revenue at units is 4500 production levels per 1