Sequences & Series Questions and Answers

5 A right solid and its base are shown to the right Find the volume of the solid given that its height is 5 feet Dimensions are in feet 6 Find the surface area of the solid in Problem 5 10 6 3

3 Let a a 0 2 and b 0 Write b as a linear combinatio 7 0 of a a and a You must find the values of the weights

State what additional information is required in order to know that the triangles are congruent for the reason given 118 SSS 119 SSS U W V K

Write the series using summation notation 1 T 27 1 81

Evaluate log 3 using the change of base formula Round to the nearest hundredth as needed

The function graphed to the right is of the form y a sec bx c or y a csc bx c for some a 0 b 0 Determine the equation of the function SICS 40 8

Which equation describes this sketch Hint Use the basic sketch of e to find the y intercept and the horizontal asymptote of each choice Select the correct answer below Oy e 2 Oy e z 2 Oy e 2 O y 2 ty 60 50 40 30 20 10 2 10 10 0 e x 12

Expand log 642 completely Keep variables in the order that given in the original term I e For log present the answer as log a log 3 log b but not log 3 log b loga Provide your answer below

fights Minor 1st fight 66 points Minor 2nd fight 64 points Minor TB Round 1 66 points Minor TB Round 2 60 points Minor TB Round 3 56 points Major 1st fight 62 points Major 2nd fight 52 points Major 3rd fight 63 points Major TB Round 1 63 points Major TB Round 2 48 points Major TB Round 3 55 points Can you find the mean median range and mean absolute deviation MAD for all the fights Press Submit to check your work Mean Median Range MAD

You are studying the effect a new drug has on hair loss in patients with cancer What type of variable is the treatment O a Mediating variable O b Independent variable O c Dependent variable O d Moderating variable

Determine whether the sequence is geometric arithmetic neither with a defined general term or neither with an undefined general term 0 2 6 12 20 30 Oarithmetic Oneither undefinable

What is the 6th term of the sequence 4096 729 1024 243 512 243 2048 729

X To the nearest tenth X 58 10

According to data from a web aggregator collected about two social media sites one site for posting pictures of cats and another site for posting pictures of food acquired the same number of unique visitors in 2012 The site for posting pictures of cats took 59 months to acquire these visitors while the site for posting pictures of food took 28 months The site for posting pictures of food had a rate of visitor growth of 440 000 more a month on average tha he site for posting pictures of cats Find the average rate of growth of the site for posting pictures of cats The average rate of growth is visitors per month C

Simplify the given exponential expression 2x y2 4 2x y2 4

write a rule for congruence mapping that reflects a figure across the x axis

The graph shown is that of a function Determine a f 3 b the domain c the range a f 3 b The domain is Type your answer in interval notation c The range is Type your answer in interval notation B 4 2 10 8 6 4 2 2 4 Ay 6 8

Select the option that is not a solution to Ax b with b 0 where u and ware solutions to Ax b and p q null A Ou p q O u v w 2v p q 2v W

Here are your stats from each fight 1st fight 62 points 2nd fight 52 points 3rd fight 63 points TB Round 1 63 points TB Round 2 48 points TB Round 3 55 points Can you find the mean median range and mean absolute deviation MAD for the four fights using ALL SIX scores Press Submit to check your work Mean 57 1 Median Range MAD

Write the answers in scientific notation If necessary round the decimal factor in your scientific notation answer to two decimal places 5 1x10 3 8 5 x 10 9 5 1 10 C

9 A cosine function has a maximum value of 14 and a minimum value of 4 a period of 7 and a phase shift of 12 Write an equation representing this cosine function A y 8 cos 27 x 12 7 x 12 B y 12 cos 27 2 7 C y 14 cos 27 x 12 2 7 x 12 7 D y Scos 27 8 9

Use properties of exponents to simplify the given expression Express the answer in exponential form 66 66

18 For the sinusoidal graph below write the equation in form y acos 2 r 12 Ay 25 cos M x 55 2x B y 30 cos Cy 25 cos 2 T D y 25 cos x 30 12 12 x 25 x 30 60 50 40 30 20 10 P x b M 4 8 12 16 20 24

1 Draw the angle 4x in standard position Show direction of rotation a determine an angle that is co terminal to 47 b determine the reference angle for 3 4x 3 e

Find a sine or cosine function for the given graph Leave your answers in exact form i e no decimal approximations If necessary type pi for a 6 f x 3 2 1

The angle lies in Quadrant IV with point P on the terminal arm and tan Determine the exact value of sine 335 1

Partial credit will be given for correct work Must show work 1 Given f x 10x 7x 5 find the Difference Quotient f x k f x h and simplify 6p

13 The probability of Gregor scoring an A on his Geography test event A is 0 90 and the probability of Candace scoring an A on her Geography test event B is 0 85 The probability of both of them scoring an A on the test is 0 765 Given this information are events A and B dependent or independent Show your work

9 Solv the equation a 2 csc 0 3 cot 0 3 0 b cos2x 2cos x 1 0

a cc Graphs of the Cosine and Sine Functions b O BY NC SA IT 3 1 T c d 77 89

Find the missing side 1 3 5 62 11 15 X 58 X

X 56 42 11 20 1 Independent Practice Homework 1 Fill in the length of each segment in the following figures 1 12 S 2 20 40 4 60 10 2

Simplify the algebraic expression 7 3y 5 4 5y 3 7 3y 5 4 5y 3

but a calculator Use the Unit Circle 3 cos Date Period Dunntina Un Name Algebr2 Trig Lesson 7 1 2 Right Triangles Trigonometry Guided Practice Classwork Find the values of the six trigonometric functions for angle A G 6 E A

Practice Classwork Find the value of x and y in each triangle 1 2 Guided y 60 8 1 2 60 X y 30 3 30 14

2 Solve for x on the interval 0 0 2 a cos 20 b sin 30 11 3

5 In 1803 the United States negotiated the Louisiana Purchase with France The country doubled its territory by adding 827 000 square miles of land for 15 million If the land appreciated at the rate of 6 each year what would one square mile of land be worth in 2005

At the Scrubs n More store scrub tops were on sale for buy one get one half off If both scrubs tops you want to purchase cost 26 each how much money are you saving on the second top

Mackenzie borrowed 500 on a 3 9 discounted loan for a period of 20 months What is the loan s discount What is the net amount of money Mackenzie receives S What is the loan s actual rate of interest to the nearest hundredth of a percent

Find a particular solution to y 10y 25y 1 1 8et

need help help with nderstanding if its increasing or decreasing with questions humber 23 to 34 In Exercises 23 34 graph each function in the standard viewing window of your calculator and trace from left to right along a representative portion of the specified interval Then fill in the blank of the following sentence with either increasing or decreasing OVER THE INTERVAL SPECIFIED THIS FUNCTION IS 24 f x 27 f x 00 0 30 f x V 0 00 33 f x 2 x x 0 23 f x x 26 f x x 0 00 29 f x x 32 f x x 2r 1 0 28 f x x 0 31 f x 1 34 f x x 1 3 1 Using visual observation determine whether each graph is symmetric with respect to the a x axis

Find the quotient and remainder if any a 8x 2x 5x 1 4x 1 The quotient is The remainder is The quotient is b 8x 73x 73x 42 x 8 The remainder is TORRE PUTA Question Help Video www

3 Given that tan a sin 1 b cos 1 90 5 12 and that 82 find the exact values of

tangent function in the gorm y atan bx c d such that b 1 2

The graph of f in blue is translated a whole number of units horizontally and vertically to obtain the graph of g in re The function f is defined by f x x Write down the expression for g x 6543 2 1 g x 0 2 1 2 3 4 5 6 Mi 0 0 00 Olo

Jacob owes Laverne 230 and wants to repay her He decides to borrow the amount from his bank at a discount rate of 8 If he borrows the money for 7 months find the amount of the loan he should ask for so that his proceeds are 230 Maturity

Exercise 1 Use the Laplace transform to solve the initial value problem d x dr dt dt 2x 9e t H t 1 x 0 6 dr dt 0 at t 0

4 In slow pitch softball the distance of the paths between each pair of consecutive bases is 65 feet and the paths form right angles Draw a picture that represents this situation and then find the distance the catcher must throw a baseball from 3 feet behind home plate to second base Round your answer to the nearest foot

esc 7 Graph the inequality 2x y2 6 Check one solution Check one solution 9 Graph the inequality 4 y2 3x 10 UN 10 heck one solution 4 11 Graph the inequality 2 y2 6 YZ 8 8 Graph the inequality 2y 6x 10 Check one solution 10 Graph the inequality 4y 12x 8 Check one solution 12 Graph the inequality x 2 4 3 2 10 x 35 33 X4 5 Check one solution 5 3 5 2 5 4

What are the max tribes of G ninguna F OACG CGE GD BCG C AF CDF BGDE OGCFD AEBD O FG FCD ABDE OCEG BCG ACG DG EF BF AF A B D G E