Basic Math Questions and Answers

5 csc 2 with Be 3T 2 cos a B given cos a 11 6 with a 0 ar

What is true about the function f x Oa f x Ob f x c f x 0 from above Od f x 0 from below 1 x 6x 7 as x 1

9 Which statements are correct about the function f x 29 The function has no horizontal asymptote The range of the function is R y ER y 1 or y 0 The range of the function is R y R y 0 The function has two vertical asymptotes at x 3 and 3

1 State the range of f x 3x 4 O a y R y 0 b y R y Oc y R y 0 c Od ye Ry d E

A construction company ordered wood beams for a new project Altogether the beams had a total length of 958 5 ft If the company ordered 45 beams and each beam was the same length how long was each beam Write your answer in yards 19 Use the table of conversion facts as necessary and do not round your answer yd X Conversion facts for length 12 inches in 1 foot ft 3 feet ft 1 yard yd 36 inches in 1 yard yd 5280 feet ft 1 mile mi 1760 yards yd 1 mile mi

Find the volume of the rectangular prism 8 yd 7 yd 5 yd Dyd

Find the volume of the rectangular prism J 9 in 8 in 4 in 3 in

policy or each problem find the equation of the tangent line to the function at the given point 14 y x 2x 1 0 1 13 y x x 1 1 3 y Ay 48 6 2 6f 6 8 x 6 4

A runner s racecourse has a total distance of 5 mi Race officials want to mark the course every 550 yd with a flag including one at the finish line The starti line does not need a flag How many flags are needed First fill in the blanks on the left side of the equation using three of the ratios shown Then write your answer on the right side of the equation Ratios 5280 ft 1 mi 5 mi 1 X 1 mi 5280 ft 3 ft 1 yd X 1 yd 3 ft 1 550 yd 1 flag X 1 flag 550 yd 11 flags ft 3 X yd in S mi flag

Find the perimeter of the rectangle Be sure to write the correct unit in your answer 11 in 27 in 10 in X

What is the circumference of the circle shown below 8 cm a 8x cm b 16x cm C 16 3 d 64 cm cm

1 What is the x intercept of f x 3x 4 a There is no x intercept 0 b 11 10 4 Od 1 3 C d 1 1 20

Find the volume of the rectangular prism 9 cm 9 cm 9 cm 3 cm

Here are some facts about units of length Unit Symbol inch foot Fill in the blanks in yard yd 8 yd ft 4 ft 0 in Fact ft 1 ft 12 in 1 yd 3 ft

A bridge connecting two cities separated by a lake has a length of 3 961 mi Use the table of facts to find the length of the bridge in yards Round your answer to the nearest tenth Conversion facts for length 12 inches in 1 foot ft 3 feet ft 1 yard yd 36 inches in 1 yard yd 5280 feet ft 1 mile mi 1760 yards yd 1 mile mi

What is the perimeter of the rectangle below a 12 cm b 40 cm 6 cm 2 cm c 8 cm d 16 cm

A runner sprinted 87 63 yd to finish a race Use the table of facts to find the distance she sprinted in feet Round your answer to the nearest tenth Conversion facts for length 12 inches in 1 foot ft 3 feet ft 1 yard yd 36 inches in 1 yard yd 5280 feet ft 1 mile mi 1760 yards yd 1 mile mi

indelang Inc is considering a project that has the following cash flow and WACC data What is the project s MIRR Note that a project s projected MIRR can e less than the WACC and even negative in which case it will be rejected WACC Year Cash flows a 16 67 b 20 66 O c 13 33 Od 15 00 Oe 12 83 12 50 0 850 1 300 2 320 3 340 4 360

For the following questions consider this scenario For each year t the population of a forest of trees is represented by A t 116 1 021 In a neighboring forest the population of the same type of tree is represented by the function B t 93 1 029 a Identify the percentage rate of growth of each forest Forest A Forest B Which forest s population is growing at a faster rate Forest B

Evaluate each function at the indicated value Round answers to four decimal places a f x 4 32 f 2 b g x e g 4 c h x 42x 3 h 1 4

A manager has a list of items that have been sorted according to an item ID Some of them are duplicates She wants to add a code to the database that assigns a 1 to the item if it is unique and if there are duplicates assigns the number of the duplicate An example is shown below The first two items are unique so the repeat code is 1 However Item ID 37692 is listed six times so the codes are assigned from 1 to 6 and so on Explain how to assign the correct code using an IF statement Click the icon to view the Item ID and Repeat Code data In cell B2 enter 1 and then type a formula into cell B3 followed by dragging the formula down column B until it aligns with the last row in the Item ID column Which of the following is the correct formula to type into cell B3 OA IF A3A2 B2 1 1 OB IF A3A2 1 B2 1 OC IF A3 A2 B2 1 OD IF A3 A2 1 B2 1 Item ID data 1 2 3 4 5 6 7 O CON A Item ID 35043 35440 37692 37692 37692 37692 07000 B Repeat Code 1 1 1 2 3 4 X

The exposure index EI for a 35 millimeter camera is a measurement of the amount of light that hits the film It is determined by the equation EI 4 t where f is the f stop setting on the camera and t is the exposure time in seconds a Suppose the f stop setting is 8 and the desired exposure time is 4 seconds What will the resulting exposure index be The resulting exposure index will be EI b Suppose the light meter on a camera indicates an EI of 4 and the desired exposure time is 16 seconds What should the f stop setting be The f stop setting should be log

Yt Yo C G 7 7 Consider a random walk y as the partial sum of a white noise process c with mean E c p and variance Var c o Use equation 7 7 to show that a E y b Var v yo te where yo is the initial value and to

3r The angular speed of a point on a planet is 8 per hour of a point on the equator radian per hour The equator lies on a circle of radius approximately 2000 miles Find the linear velocity in mile The linear speed of a point on the equator is approximately Round to the nearest whole number as needed C miles per hour

FR The angular speed of a point on a planet is 10 per hour of a point on the equator radian per hour The equator lies on a circle of radius approximately 9000 miles Find the linear velocity in m CITE

At 1 atm how much energy is required to heat 69 0 g H O s at 18 0 C to H O g at 153 0 C Use the heat transfer constants found in this table q 49 5 Incorrect kJ

cost cos t 1800x tant tan t 177 sint 9 sin t 1000

2 Convert the following to decimal degrees 52 12 07

ind all values of 0 if 0 is in the interval 0 360 and has the given function alue 3 sin 8

Find the measure of each marked angle 3 7x 19 2x 1 3x 5 8v 30 4x 30 15 TY

2 AABC is an equilateral triangle Find the angle of rotation that maps A to B O 120 360

pts Matrix A and its reduced row echelon form R are given A 1 1 0 1 1 21 32 4 1 1 2 3 1 22 1 0 1 0 2 R 0 0 1 00 00 a Find bases for the subspaces Col A Row A Null A 1 3 1 0 00 2 1 0 00 0000

2 True or false The Set of complex vector of the Z form 2 for ZEC is Subspace of c

On the Unit Circle List the angles whose measure is a non reducible increment of one twelfth pi To get started in the circular direction the first is The others are 1 12 The U 1 414 0 707 1 414 0 707 0 707 0 707 T 12 and 1 414

A family of polynomials has equation y k x 2 x 4 x 1 x 5 What is the value of k for the family member represented by this graph YA 32 4 2 0 32 3 96 a k 8 Ob k 1 5 Ook 1 1 20 d k 8

A family of polynomials has equation y k x 2 x 2 What is the value of k for the family member represented by this graph 80 16 A

A quintic polynomial function degree of 5 with zeros x 4 order 2 x2 2 ord 3 and y intercept at 52 as shown Find the value of the leading coefficient of the polynomial rounded to two decimal places Show your work by attaching a file X1 This graph is not to be scaled Your Answer y intercept X2

If tan 0 1 32 0 then Sin 0 coslo sec 0

Compute the sine and cosine of 117 by using the reference angle to 1 what is reference angle 2 In what quadrant is this angle radians Sin 11 Cos 112T to

Branch and Bound algorithm Knapsack Problem Item 1 Knapsack Capacity 10 lkg 1 1 Branch and Bound algorithm 1 2 Backtracking algorithm Guess and Check 7 6 E Weight kg 5 5 5 1 5 4 75 6 D Price 50 000 25 000 15 000 60 000 75 000

Evaluate the determinant 14 21

Plot the given points and then join these points in the order given by straight line segments Name the geometric figure formed A 4 3 B 3 3 C 3 2 D 4 2 Plot the given points and then join these points in the order given by straight line segments Name the geometric figure formed Choose the correct answer below 0 0 0 0 cube O rectangle GILD O triangle square Choose the correct graph below OA O C Q Q 2 OB O D Q Q

Draw the given angles in standard position 280 210 Which graph below shows the angle 280 in standard position OA O B Q G 1 Which graph below shows the angle 210 in standard position OA Q Q Q Q O C Next question 4 O C Q 2 OD Q O S

Let F ez ez z e y Use Stokes Theorem to evaluate 11 CurlF S curlFdS where 2 S is the hemisphere x y z 36 z 0 oriented upward

emet To earn full This is an evaluation that must be completed on your own with no help from tutors friends marks you must justify your solution Include the following as needed Show diagram Define variables State formula theorem equation or function used Show substitutions and or steps in solving an equation State restrictions State concluding statement Use correct notation No marks are given if your solution includes e or In differentiation integration This is an evaluation make sure you are completing the work on your own 1 Given the polynomial function f x 2 x x 4 x 3 answer the following questions 7 marks a Fill in a different number for each in the equation b Value of leading coefficient c Degree d Maximum number of turning points for a polynomial with same degree e Maximum number of zeros for a polynomial with same degree f End behaviour As x 00 y As x y g Sketch a possible graph of the function f x Label the x and y intercepts

Use the spinner below Write your answer as a reduced fraction 1 4 2 1 P odd number 80 2 3 2 3 X

Match the following equations with their fully factored form x 1 3x 2 x 1 x 1 x 3 x 1 x 2 x 3 x 4 x 1 x 3 1 x3 3x2 x 3 2 x42x2 3 3 x410x3 35x2 50x 24 4 3x3 4x2 x 2

Use the spinner below 10 9 11 8 12 1 7 6 2 5 3 4 P greater than 2 Enter the probability as a reduced fraction

3 Rewrite each expression as a power of x a x b x3 c 1 724 d x x

Let a 5 5 and b 1 0 Find the projection of b onto a proj b Question Help Video Submit Question V