Sequences & Series Questions and Answers

Given the following graphs of the two function which statement must be true f x 42 51 20 C 27 T Sy 2 10 8 x x 3 8 x x 3 g x f x 3 g x f x 3 24 LO 42 24 A g x ml

Frank runs each lap in 8 minutes He will run at least 6 laps today What are the possible numbers of minutes he will run tod Use t for the number of minutes he will run today Write your answer as an inequality solved for t 0 0 0 0 O OSO 20 8 08

etermine the surface area of the sides and roof in square feet and the volume in cubic feet of the house shaped figure below Round your answers to the nearest w umber rface area plume 13 ft 9 ft 20 ft ft ft 3 25 ft

480 The logistic growth function f t 1 8 6e 0 11t after 12 months Round to nearest whole number OA 246 butterflies OB 146 butterflies OC 46 butterflies OD 5 760 butterflies ms que SCLER point s possible test describes the population of a species of butterflies t months after they are introduced to a non threatening habitat How many butterflies are expected in the habitat

the polynomial by hand Think about h 1 2 x 8 2 x 6 4

The exponential function D t 347 1 024 t Gives the number of bachelor s degrees in thousands earned in the United States t years after 1970 Find th number of bachelor s degrees earned in 2000 Round the nearest thousand degrees

Monique and Tara each make an ice cream sundae Monique gets 2 scoops of Cherry ice cream and 1 scoop of Mint Chocolate Chunk ice cream for a total of 67 g of fat Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 62 g of fat How many grams of fat does 1 scoop of each type of ice cream have Part 1 of 2 Cherry has Part 2 of 2 g of fat Mint Chocolate Chunk has X g of fat X

um does not exist click on No sum 3 4 9 3 4 9 2 3 4 9 3 dots

ve that the following identity is true sec 8 cot 8 sin 8 1 We begin by writing the left side of the equation in terms of sines and cosines We can then perform the multiplication and reduce sec 0 cot 8 sin 0 1 X cos 8 sin 8 sin 8 1

One of the properties of summation states that 25 i i 11 40 i 21 Use this fact along with other properties of summation to evaluate the given summations co 20 7 i 9 40 7 62 71 k TL a a i 1 i k 1 help numbers n 50 4 4 a i k 1 i 1 i 1 ai so

One of the properties of summation states that n E i k 1 20 i 11 35 i 21 42 ai 2 i 19 n i 1 a Use this fact along with other properties of summation to evaluate the given summations k alll ai i 1 help numbers k n ai ai ai so i 1 i k 1

Locate the centroid x and y of the following area 22

If Julie has three times as many CDs as Jack and Tira has nine times as many as Julie write an algebraic expression for the number of CDs each has in terms of one variable x Let x represent the number of CDs that Jack owns The number of CDs that Julie has in terms of x is

09 Exercise 10 16A Algo Straight line amortization for bonds Issued at a discount LO 10 4 On January 1 Year 1 Price Company Issued 122 000 of five year 5 percent bonds at 94 Interest is payable annually on Decembe The discount is amortized using the straight line method Required Prepare the Journal entries to record the bond transactions for Year 1 and Year 2 If no entry is required for a transaction event select No Journal entry required in the first account field View transaction liet Journal entry worksheet 1 2 3 Record the entry for issuance of bonds Note Enter debits before credits

S 02 02 48 On January 1 Year 1 Jones Company issued bonds with a 230 000 face value a stated rate of Interest of 7 5 and a 5 year term to maturity The bonds were issued at 97 Interest is payable in cash on December 31st of each year The company amortizes bond discounts and premiums using the straight line method What is the total amount of liabilities shown on Jones balance sheet at December 31 Year 2 Multiple Choice 220 340 223 100 225 860

Curtain Company paid dividends of 7 000 12 000 and 12 000 during Year 1 Year 2 and Year 3 respectively The company had 2 000 shares of 5 0 100 par value preferred stock outstanding that paid a cumulat dividend What is the total amount of dividends paid to common shareholders during Year 3 Multiple Choice 10 000 5 000 1 000 3 000

Which of the following best presents the related lines in the stockholders equity section of the company s balance sheet Multiple Cholce O O O Common stock 20 par value 500 shares authorized 200 shares issued 125 outstanding Paid in capital in excess of par Common Less Treasury stock 75 shares 44 per share Common stock 20 par value 500 shares authorized 200 shares issued and outstanding Paid in capital in excess of par Common Less Treasury stock 75 shares 20 per share Common stock 20 par value 500 shares authorized 200 shares issued 425 outstanding Paid in capital in excess of par Common Less Treasury stock 75 shares 44 per share Common stock 50 market value 500 shares authorized 200 shares issued 125 outstanding Less Treasury stock 75 shares 44 per share 4 000 6 000 3 300 4 000 6 000 1 800 8 500 11 050 3 300 10 000 3 300

23 Select all that are true 4 3 27 72 32 14 7 4 19 15 x 3 9 Topic 8 Lesson 8 3 120 24 Select all that are true 6x 10 3 7x13 104 17x28 24 1 56 x 25 31 1 Copyright Savvas Learning Company LLC 8

Given f x and g x as shown in the graphs below gof 2 f x g x

1 Graph the following square root functions on the same graph Show your table of values endpoint and 3 other points f x 3 x 2 y X g x 3 x 2

2 Graph the following cube root functions on the same graph Show your table of values middle point and 2 points on either side f x x 4 1 y X g x x 1 4 y I 10 40

Use synthetic substitution to determine if 3 is a root of f x x x 30 3 1 0 1 f 3 Is 3 a root of the polynomial 30

Rotation 90 clockwise about the origin YA 23 Rotation 180 about the origin YA 2 3 4 X

3 Graph the following piecewise function x 5 g x 2x 1 x 6 x 3 3 x 4 x 4

Use synthetic substitution to determine if 4 is a root of f x x 2x 14x 32x 32 4 1 2 14 32 f 4 Is 4 a root of the polynomial QUESTION 2 Use synthetic substitution to determine if 3 is a root of f x x3 x x 30 3 1 0 f 3 1 30 32

3 QUESTION 4 3 f 1 Is 1 a root of the polynomial 5 A polynomial f and a factor of f are given Factor f completely f x x3 18x 95x 126 x 9 6 8

energy recovery in the Unitear did the amount of log 3 x 2 9x 27 2

5 Graph the line that has an x intercept of 3 0 and y intercept of 0 2 5 4 3 2 7 4 3 2 7 2 3 4 5 2 3 S

a room in a bank is shaped like the rectangular prism shown below the room has a security system that is triggered by two laser beams which stretch from point a to d and point b to c how many total feet of laser beams are there

Use the graphs off and g to evaluate the function 2 32 110 fog 3

Find f g x f x 3x 4x 4 g x 8x 9x 6 O f g x 11x4 5x 2 O f g x 5x 13x 10 O f g x 11x 5x 2 O f g x 5x 13x 10 O f g x 5x 13x 10

A company produces a CD s at a variable cost of 8 per CD and a fixed cost of 18000 They will sell the CD s for 20 ea A The total cost as a function of the number of CD s produced is C x 1 B The total revenue as a function of the number of CD s sold is R x C The profit as a function of the number of CD s produced and sold is P x D The number of CD s that must be produced to break even is

The arrows on two spinners are spun one time The first spinner is divided equally into the colors red blue green and yellow The second spinner is divided equally into the numbers 1 2 3 and 4 All possible outcomes are shown in the table Blue Green Yellow Red 1 R 1 B 1 G 1 Y 1 2 R 2 B 2 G 2 Y 2 3 R 3 B 3 G 3 Y 3 4 R 4 B 4 G 4 Y 4 What is the probability that the first spinner lands on red or the second spinner lands on an even number OD O O B 11 Oc A 34 OE 7 E

Given Rectangle ABCD with diagonals AC and BD Prove AC BD Move options to the blanks to complete the proof B A Because ABCD is a rectangle it is also a parallelogram Opposite sides of a parallelogram are congruent therefore AB By the reflexive property AD All interior angles of a rectangle are congruent therefore BAD ZCDA By the Side Angle Side Theorem A BAD Because corresponding parts of congruent triangles are congruent AC BD C D

Let R be the event that Elena chooses a red flower from and vase and W be the event that Glenn chooses a white flower from a different vase P R 1 P W 8 23 P R and W 23 Move words and a symbol to the blanks to complete the sentence about the events The events that Elena chooses a red flower and Glenn chooses a white flower are because P R and W is to P R P W independent equal X dependent not equal

Completely simplify the expression 1 21 4 7i A 18 i OB 4 14i OC 4 15i D 10 i E 18 i

Which is equivalent to the expression 8 3 A 5 B 11 OC 3 8i D 3 8i

38 of the animals are dogs 40 of the animals are spotted 12 of the animals are spotted dogs What percent of the animals in the store are spotted or dogs OA 54 B 66 O C 78 D 80

The cost y in dollars to purchase x dozen doughnuts from Bakery A and Bakery B can be found using the equations shown in the table Bakery A B Cost y y 9x y 8x Choose all of the statements that are true based on the equations given A Bakery A charges about 8 cents more per doughnut than Bakery B B The cost of 2 dozen doughnuts is 2 dollars more at Bakery A than Bakery B per doughnut C Bakery A charges 1 33 per doughnut and Bakery B charges 1 50 Bakery A charges 0 75 per doughnut and Bakery B charges 0 67 per doughnut D

3 2 O A 2N 6 5 4 3 2 1 1 2 3 4 5 6 7 1 Which system of equations could be represented by the graph 3x y 2 2x 3y 13 O C 3x y 2 OB 2x 3y 13 3x y 2 2x 3y 13 O D O E 3x y 2 2x 3y 13 3x y 2 2x 3y 13

Alex randomly chooses a shirt and pants to wear He will choose between a green G orange O or red R shirt He will choose between black pants Bl brown pants Br jeans J or tan pants T The possible outfits are shown in the table G B1 O BI R Bl G Br O Br R Br G J O J R J G T OT R T What is the probability that Alex chooses at least one of a green shirt or black pants O B OC C 61

If a x 3i and b 2 then find the value of the ab in fully simplified form SA

H the Give the slope and the y intercept of the line with the given equation Then graph the linear equation y 2x 7 What is the slope Select the correct choice below and fill in any answer boxes within your choice A The slope is 2 Simplify your answer OB The slope is undefined What is the y intercept Select the correct choice below and fill in any answer boxes within your choice A The y intercept is Type an integer or a simplified fraction OB There is no y intercept CI

1 Use the given conditions to write an equation for the line in point slope form and in slope intercept form 1 4 passing through 5 1 Slope Write an equation for the line in point slope form Simplify your answer Use ihtegers or fractions for any numbers in the equation GLICE

41 Use the given conditions to write an equation for the line in point slope form and slope intercept form Slope 5 passing through 3 0 Type the point slope form of the line Simplify your answer Use integers or fractions for any numbers in the equation

For the function f x f x h f x h f x h 6x 5x4 evaluate and fully simplify each of the following

For the function f x 1 4x 4 evaluate and simplify the difference quotient

For the function f x 3x 1 evaluate and simplify the difference quotient

Divide in 476517 The quotient is 145 R27

vide in the indicated base 4516 R 16 16