Sequences & Series Questions and Answers

Divide in the indicated base 35 1205 The quotient is R5

Multiply in the indicated base 24 six x 5gix The product is six

Multiply in the indicated base 2213 23 X

Subtract in the indicated base 72359 60469 7235g 60469

95A16 35116 95A16 35116 16 Simplify your answer

j x x 4 k x 1 x 6 What is the demain of k j x

Add in the indicated base 1245 76 445 1245 445

A new car worth 22 000 is depreciating in value by 2000 per year Complete parts a through c a Write a formula that models the car s value y in dollars after x years b Use the formula from part a to determine after how many years the car s value will be 14 000 c Graph the formula from part a in the first quadrant of a rectangular coordinate system Then show your solution to part b on the graph a A formula that models the car s value y in dollars after x years is b After years the car s value will be 14 000 Type a whole number c Choose the correct graph below O A Ay 22 000 0 0 X 10 LS B Ay 10 0 0 X 22000 Type an equation Q O C Ay 10 0 0 X 22000 O U O D 22 000 Ay 0 0 Nx 10

transcript A book contains the following recommended weight for kangaroo Give the kangaroo 145 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall Using this description what height corresponds to a recommended weight of 195 pounds AUX

Itranscript You invested 15 000 in two accounts paying 5 and 6 annual interest respectively If the total interest earned for the year was 790 how much was invested at each rate The amount invested at 5 is

Convert the base ten numeral to a numeral in base four 107 7 four 107

What should an accountant do when there is no traceable connection between expenses and revenue Multiple Choice O O Apply the matching concept Be as uniform as possible Design a system of Internal control

11 more than p raised to the 3rd power 3P 11 the product of 3 and the sum of r and 20 4 less than c raised to the 4th power 16 the product of 14 and g squared 14 92 twice the result of n decreased by 10 divide 17 by the sum of d and 9 Find worksheets games lessons more at education com resources 0 0007 2023 Education com

t minus 9 then decrease the result by c 9 c the product of m and w increased by 17 5 more than the product of b and q 11 more than p raised to the 3rd power 200 10 12 divide v by 7 then increase the result by 13 divide y by 12 then subtract 16 from the result 6 less than the result of 8 divided by f the product of 14 and g squared

Find the GCF greatest common factor of the following terms 2 Doints 10 22 28

Write the Babylonian numeral as a Hindu A WWVY The equivalent Hindu Arabic numeral is Hindu

Simplify the expression 242 000 x 0 0002 using scientific notation and express your answer in scientific notation Answer X x10

The area of a rectangular wall of a barn is 33 square feet Its length is 8 feet longer than the width Find the length and width of the wall of the bar me width is feet

Sol memical company mixes pure water with their premium antifreeze solution to create an inexpensive antifree tains 80 pure antifreeze The company wants to obtain 160 gallons of a mixture that contains 40 pure antifreeze How many gallons of water any gallons of the premium antifreeze solution must be mixed Water gallons mium antifreeze gallons K X

uppose that there are two types of tickets to a show advance and same day The combined cost of one advance ticket and one same day ticket is 50 For me performance 30 advance tickets and 35 same day tickets were sold The total amount paid for the tickets was 1575 What was the price of each kind of cket Advance ticket s ticket

The Morgan family and the Martinez family each used their sprinklers last summer The Morgan family s sprinkler was used for sprinkler was used for 25 hours There was a combined total output of 1450 L of water What was the water output rate for each sprinkler if the sum of the two rates was 70 L per hour Morgan family s sprinkler L per hour Martinez family s sprinkler 1 per hour S

A delivery truck is transporting boxes of two sizes large and small The combined weight of a large box and a small box is 75 pounds The truck is transporting 70 large boxes and 60 small boxes If the truck is carrying a total of 5000 pounds in boxes how much does each type of box weigh Large box Small box pounds pounds X S

Write the Babylonian numeral as a Hindu Arabic The equivalent Hindu Arabic numeral is 1010 Bab Hin

aph each function and identify its key characteristics f x 3x5 Domain x int Increasing Interval Decreasing Interval Symmetry End Behavior Range y int Discont

Increasing Decreasing and Constant Functions A function is interval A function is interval A function is that interval 2 on an interval if the function values increase as the input values increase within that on an interval if the function values decrease as the input values increase over that on an interval if the function values remain the same as the input values increase over Peaks and valleys are neither increasing nor decreasing so we do NOT include them in our intervals ONLY USE

2 1 0 1 2 A value of the input where a function changes from increasing to decreasing is called a A value of the input where a function changes from decreasing to increasing is called a

Sum f g x Difference f g x Product fg x Quotient x If f x x 2 and g x 3x 2 what is f g 7 What is the domain of f g x What is the domain of f g x What is the domain of fg x

fg x x x 7 4 x 7 Simplify your answer ff x x 8x 16 Simplify your answer 6 x 1 x 16 X 4 x 7 Simplify your answer x Simplify your answer

Write a linear cost function for the situation Identify all variables used A parking garage charges 9 dollars plus 25 cents per half hour www Identify all variables used Choose the correct answer below OA C x represents the number of half hours the parking garage was used after pay x dollars OB C x represents the number of hours the parking garage was used after paying x dollars OC represents the cost for using the parking garage for x half hours OD C x represents the cost for parking x cars in the parking garage

D O 999 What is the equivalent Hindu Arabic numeral Type an integer What is the equivalent Roman numeral One Hindu Arabic Roman traditional Chinese and Greek systems of numeration Choose the correct equivalent Chinese numeral below OA v O B 1 OC H O D

Use the table to write the given lonic Greek numeral as a Hindu Arabic numeral oly oly Type an integer 1 a 2 B 3 Y 48 5 E 6 f 7 5 8 n 90 10 1 20 K 30 A 40 50 V 60 70 o 80 x 90 2 100 P 200 300 400 aOta0 43A 500 600 X 700 800 900

4 Which ordered pair is a solution for the following inequality y x 3 0 0 3 O 3 1 O 9 1 2 3

9 What is the constant of variation in the graph below 101 10 5 Type a response 5 0 5 10 5 10

A graphed line has the following slope and y intercept slope y intercept 4 Which of the following equations would NOT represent this line Oy x 4 2x 3y 12 3x 2y 12 4x 6y 24

Given the following point write the equation of the line in slope intercept form 3 5 and 6 8 Type a response

Use the graphs off and g to evaluate the functions y f x 15 a f g 1 4 3 2 y 2 3 4 X 4 3 2 1 y 4 b fg 4 y g x 2 3 4

ep 1 of 3 Graph the solution set of the first linear inequality swer Choose the type of boundary line e line will be drawn once all required data is provided and will update whenever a value is updated The regions will be added once the line is drawn Enable Zoom Pan Solid O Dashed 3x 5y 30 x 3 Enter two points on the boundary line 107 Ke 5

3 a Graph the piece wise function For full credit add arrows to the ends that keep going Use a straight edge 4 3x f x 4 for x 3 for 3 x 5 1 5x 5 for x 5 a Evaluate f 3 b Evaluate f 5 c Evaluate f 20 10 5 10 5 0 10 5 10

x y 6x 8y 21 0 6 P F 3 1 0 1 N 3 1 2 4 5

A C system equations below is represented by which of the following graphs y x 4x 2 P y x 2 4 7 n 19 L 25 B D 4 NP A a

in with 5 Compo unded monthly How much will you have in 2 10 years 2 A31000000 Horos 247080 00 10 year 12 A 10 000 1 4 OTT 2 your savings account has 1000 with a 3 interest compounded monthly How much will you have in 5years 1000 1 20 4 3 you buy a car for 20 000 your car loses 5 of its value annually When you sell your car mums should you sell it for s no

A data set has a median of 12 an upper quartile of 15 a lower quartile of 10 a minimum of 4 and a maximum of Which statement is true of the box plot of this data set O The box will go from 10 to 12 OA line dividing the box will be at 12 O The left whisker will go from 4 to 15 O The right whisker will go from 12 to 20

ssessment 5 2 Solve the system by substitution Check your solution 1 x 5 y 2x 5y 4 2 3x y 2 3x 2y 5 3 There are 124 students in a school band There are 12 more boys than girls in the school band How many boys and how many girls are in the school band

Depreciation is the decrease or loss in value of an item due to age wear or market conditions We usually consider depreciation on expensive items like cars Businesses use depreciation as a loss when calculating their income and taxes One company buys a new bulldozer for 105250 The company depreciates the bulldozer linearly over its useful life of 21 years Its salvage value at the end of 21 years is 13900 A Express the value of the bulldozer V as a function of how many years old it is t Make sure to use function notation B The value of the bulldozer after 14 years is

5 4 3 2 6 5 4 3 2 1 1 23 4 5 6 1 2 3 The graph above is a transformation of the function f x x Write an equation for the function graphed above g x

C 6 212 x 4 cossc sinxe x 3 x 4 Ex Cos 3 ez x4 x 4 4x 21x 84 cos x sinx 2 4 3 12 x cos z 2

Option B A giant water balloon was dropped from a plane landing on Tahir and Zack at point W 42 15 and nd sending the two friends flying off an equal distance in opposite directions If Tahir ends up at coordinates T 18 36 where would we expect to find Zack T 18 36 42 15

Consider the function graphed at right The function has a Select an answer Select an answer The function is incr minimum maximum of val s The function is decreasing on the interval s Tidak at x 5 4 3 2 1 3 2 1 3 4 54 1 3 415

Given the function f x 8x 10 x 0 8x 20 x 0 Calculate the following values f 1 f 0 2 Question Help Video

e 4 5 4 3 2 1 32 5 4 3 2 1 t i 2 on 5 4 4 p S