Math - Others Questions

8 In AABC points X Y and Z are on sides CB AC and AB respectively so that cevians AX BY and CZ are concurrent at P Prove that sin ZABY sin ZBCZ sin ZCAX sin ZACZ sin ZBAX sin ZCBY

m E 85 and m B and m B 95 Angles E and B are complementary supplementary O neither complementary nor supplementary

A company produces three types of shoes formal casual and athletic at its two factories Factory I and Factory II Daily production of each factory for each type of shoe is listed below Formal Casual Athletic Z Factory 100 100 300 The company must produce at least 5800 pairs of formal shoes 8300 pairs of casual shoes and 9900 pairs of athletic shoes If the cost of operating Factory I is 1800 per day and the cost of operating Factory II is 1850 how many days should each factory operate to complete the order at a minimum cost and what is the minimum cost a Letting a be the first of the variables listed in the problem statement and y the second write the objective function Factory II 100 200 100 b Graph the feasible region on paper then list the corner points of the feasible region Enter ordered pairs x y separated by commas c Test the corner points to find the optimum value of the objective function The winning corner point is The optimum value of the objective function is

1q046P The table of values represents points on the graph of a quadratic function 2 1 12 7 What are the coordinates of the graph s vertex What is the general form of the function s equation f x x Y 0 1 2 434

A factory manufactures two products A and B Each product requires the use of three machines Machine I Machine II and Machine Ill The time requirements and total hours available on each machine are listed below Product A Product B Total Hours Machine I 1 2 76 Machine II Machine III 4 2 2 2 94 176 If product A generates a profit of 40 per unit and product B a profit of 60 per unit how many units of each product should be manufactured to maximize profit and what is the maximum profit To maximize profit the factory should produce units of product A and units of product B The maximum profit would be

Consider the Venn diagram shown below A 6 C 5 11 9 3 8 Determine the following cardinalities n A 20 X n AUB 34 OF n ANT OF B 2 o

Consider the Venn Diagram below that shows the number of elements in each set Use this information to answer the questions below 5 A 8 B 10 1 How many elements are in Set A How many elements are in Set B How many elements are in Set A and Set B How many elements are in Set A or Set B How many elements are not in Set A How many elements are not in Set B Vidas

0 2 For 13 15 Solve Algebraically for Interval 0 2T 13 Cos 3x cos2x COS X 0 14 sinZa cosa 0 15 2tan 2x 3 6

Consider the Venn Diagram below A B n A 33 43 10 32 n AUB 55 n B 79 E Question Help 8 55 X Ou n AB 32 Ou Video 46

Fuzzy Button Clothing Company is analyzing a project that requires an initial investment of 600 000 The project s expected cash flows are Year Year 1 Year 2 Cash Flow 300 000 175 000 Year 3 500 000 Year 4 450 000 Fuzzy Button Clothing Company s WACC is 9 and the project has the same risk as the firm s average project Calculate this project s modified internal rate of return MIRR 14 99 15 82 16 65

Let S 1 2 3 18 19 20 be the universal set Let sets A and B be subsets of S where Set A 3 4 5 6 8 9 10 11 12 13 14 18 Set B 4 5 6 7 9 10 11 12 15 16 17 19 20 Determine the following n A 12 n A n B 8 n An B 7 n AUB 18 13 X X 9

The function graphed to the right is of the form y a sin bx or y a cos bx where b 0 Determine the equation of the graph y Type an expression using x as the variable COLL 2 N 34 3x NA 2 2x

5 5 2 2 Suppose the production function is p x y x y the price of good x is 4 the price of good y is 1 and the price of the output is 10 What values for x and y will maximize the profit given this information Also solve for whether there is diminishing marginal product with respect to each of the inputs and whether there is diminishing technical rate of substitution for this production function

Solve the equation for x Select all of the correct answers x 2 27 G 3 3 9 3 3 3 9 3 27

N 3 1 0 2 2 3 Vertex type your answer Bewer 4 Shift to the right 2 units reflect about the x axis vertical stretch by a factor of 2 and shift up 5 units Shift to the right 2 units reflect about the x axis vertical shrink by a factor of 2 and shift up 5 unit Shift to the left 2 units reflect about the Identify the vertex a the transformations with respect to the parent function of y z and write the equation of the quadrati vertical stretch by a factor of 2 and shift up 5 unit choose your answer type your answer 6 a type your answer Transformations www Mik HAN TOUR f x

Graph the function over a two period interval 3x Choose the correct graph below OA Q o OB 41 OC

Determine the amplitude period any vertical translation and any phase shift of the given gra X 4 y 2 sin

If the perimeter of a rectangle is 70 feet and its area is 196 square feet find the dimensions of the rectangle Let length be the longer side of the rectangle Length type your answer feet Width tyre vale Sama

The graph of y sin is obtained by shifting the graph of y sinx unit s to the right

Use the formula to find the value of the missing variable t t 0 4 0 5 radians 7 11 radian per minute min Simplify your answer Type an integer or a fraction

You have 300 000 saved for retirement Your account earns 5 interest How much will you be able to pull out each month if you want to be able to take withdrawals for 15 years Round your answer to the nearest dollar

Using the data below what is the simple exponential smoothing forecast for the 4th week where a 0 3 Week Time Series Value 2 3 2 6 00 3 4 00 6 00 Using the data below calculate the bias based on using the naive forecast method Week Time Series Value 8 00 10 00 8 00 24 00 Submit 23 00

4 y 2cot 3x 5 2 amplitude period phase shift vertical shift

Develop an amortization schedule for the loan described Round your answers to the nearest cent 90 000 for 3 years at 11 compounded annually Payment Interest Period 1 2 3 Balance Reduction Unpaid Balance 90 000 0 00

a Evaluate arctan ez log2300 572 23 sin x cos 23x dy Note Looks scarv right It s actually not Look closely

2 2i i 1 i Let A 2 2i i 1 i 2 4i 21 1 2i 1 A 10 be a matrix with eigenvalues 0 1 and i 2 It is known that there are many values of k such that A A Provide 3 different positive values of k that will allow for A A

Sketch the graph of the given function y 4 cos 4xx Choose the graph that shows two periods of y 4 cos 4xx OA JAA O D AA OB OE AAA AY Q 19 Q MA O C O F

Match the given function to one of the graphs y 4 cos 2x Choose the correct graph below OA Q B Q Q O C O D

Solve the triangle a 7 c 6 B 97 9 What is the length of side b Select the correct choice below and if necessary fill in the answer box within y OA b Round to the nearest tenth

Sketch the graph of the function below Check the graph using a graphing calculator y 200 cos x Choose the correct graph below O A AY 250 250 Q 250 GOLLE Q O B O C Ay 250 250 ja ju Next question 250 D Ay 250 250

Sketch the graph of the given function Check the graph using a graphing calculator 6 y sinx Choose the correct graph below OA Q Q OD 2 R

Sketch the graph of the given function y 5 sinx Choose the correct graph below OA 10 6 0 6 10 C 10 6 0 10 HITS O C 4 2 Q

Resolve the vector given in the indicated figure into its x component and y component A 0 4 0 A 6057 230 0 Q X

Find R and 8 given the components R 4 788 and Ry R 8 008

1 For 9 points sketch f x secx over the half open interval 7 27 377 2 TC 7 2 2 1 7 2 T 37 2 2 57 2

Find the area and the perimeter of the rectangle shown to the right The area of the rectangle is The perimeter of the rectangle is Y GECOM 9 m

7 points Use transformations to graph f x 4 1 x show all steps and then graph its inverse if possible

4 2 9 7 6 4 5 3 8 Is b in the range of linear transformation x Ax If so find x b Let A 5 5 0 3 4 8 5 and b 5 9 7

You may need to use the appropriate appendix table or technology to answer this question Given are five observations for two variables x and y Round your answers to two decimal places 123 4 7 474 11 14 a Use Sp x 1 n X x c Use Spred x b Use af to develop a 95 confidence interval for the expected value of y when x to to estimate the ate the standard deviation of p SO ate the standard deviation of an individual value of w to estimate th 0 Used to develop a 95 prediction interval for y when x 5 x s

Find the exact function value tan tan 3x 4 3x 4

The rotation of the smaller wheel in the figure causes the larger wheel to rotate Find the radius of the larger wheel in the figure if the smaller wheel rotates 80 0 when the larger wheel rotates 50 0 The radius of the large wheel is approximately cm 11 4 cm OC r

Problem 1 Let C 0000 1010 2020 0101 0202 1111 1212 2121 2222 be a linear code over F3 0 1 2 a List the cosets of C b Show that is a parity check matrix for C 1 0 2 0 132 01 02

the exact length of the arc intercepted by the given central angle in the figure to the right ECCLE The length of the intercepted arc is Type an exact answer in terms of Use integers or fractions for any numbers in the expression www 5m 3 15

Let p be a prime number and w be the roots of p x x x 1 If either p 5 mod 12 or p 11 mod 12 then Z w is a field of order p Remark Zp w Zp 3

Find the radius of the circle in the figure to the right EXXE The radius of the circle is Tyne an infor

Two gears are adjusted so that the smaller gear drives the larger one as shown in the figure If the smaller gear rotates through an angle of 300 through how many degrees will the larger gear rotate The larger gear rotates through approximately 3 3 cm

The angle 8 is an integer e g 0 11 12 when measured in radians Give the radian measure of the angle It helps to remember 3 Q Q Ay

The graph of f x is given below Identify the correct graph of g x 2f x 4 3

Let f 2 3 To graph f z we transform y I by stretch shrink choose your answer choose your answer vby a factor of choose your answer shift 4 units choose your answer and shift 3 units

Let f 2 2 4 To graph f x we transform y by stretch shrink vertically left vby a factor of 1 3 shift 2 units up V and shift 4 ura