Sequences & Series Questions and Answers

Question 9 Points 3 At a birthday party Katrina and her friends went on a scavenger hunt They had to collect candy hidden in different rooms of the house The 5 children each collected 35 candies 37 candies 26 candies 16 candies 22 candies What is the mean absolute deviation of the numbers of candies collected If the answer is a decimal round it to the nearest tenth 8 5 7 0 7 4

Solve for a Do not include in your answer y 52 2 9x 5

3 If f x 7 2x 24 O f g x Select the correct answer below O f g x O f g x and g x O f g x 1 O f g x 5 x 6 x 4 x 4 O f g x 2 2 10x 24 find f g x and determine any domain restrictions 5 x 6 x 4 x 4 x 20 x 6 x 4 x 4 5x 4 x 6 x 4 x 4 x where a 4 6 4 20 x 6 x 4 x 4 where a 4 6 4 5x4 x 6 x 4 x 4 where x 4 6 4 where x 4 6 4 where x 4 6 4 where x4 6 4

Explain why S is not a basis for R S 6 3 OS is linearly dependent OS does not span R2 OS is linearly dependent and does not span R2

Simplify the radical Assume that all variables represent positive real numbers 3 8x8y 69 Select the correct choice below and if necessary fill in the answer box to complete your choice OA 3 8x9 69 y OB The radical does not represent a real number ILZ

Sum of the roots of the equation x 2 2x 2 15 0 is

Express each of the following products in simplest form 14a 10b 12x 15y 5y 30x 15b 21a6 a b c 4x 3y7 30z 9z 10x 8y

Use radical notation to write the expression Simplify if possible 1 16 64 Select the correct choice below and if necessary fill in the answer box to complete your choice O A 1 64 6 Type an exact answer using radicals as needed Simplify your answer OB The answer is not a real number 4

Solve the following equation for a Do not include in your answer b C a x a

During a long distance kayak race series a competitor traveled for a total of 30 kilometers over the course of 6 hours on two rivers 24 kilometers were traveled on the first river and 6 kilometers were traveled on the second river On the first river the competitor traveled at an average speed 3 kilometers per hour greater than he traveled on the second river What was the average speed of the competitor on the first river Do not include the units in your response

For 4 6 write a proportion for the situation and then solve 4 A test is worth 36 total points and you want to get an 87 on it How many points do you need to score 5 You pay 4 for 7 pounds of chocolate frogs How much would you pay for 11 pounds of chocolate frogs 6 The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops If there are 147 scoops of vanilla ice cream how many total scoops are there

Points 3 Question 4 A zoologist tagged 9 male lions to study their habits in the wild After tagging each lion the zoologist recorded each of the lion s weights 180 kg 250 kg 200 kg 209 kg 195 kg 205 kg 190 kg 188 kg 192 kg Find the IQR of the lion s weights O 9 kg O 18 kg 21 kg

Identify the domain and then graph the function using the table to the right f x x 2 The domain of the function f x is Type your answer in interval notation Complete the table to the right Graph the function Choose the correct graph to the right C X f x 2 3 11 18 A O C D Ay OB O D

Quiz Chapter 17 HW Quiz 1 Express in simplified form 3 250 Question 2 of 10 25

Points 3 Question 3 Which of the following is true concerning the mean absolute deviation of a set of data It describes the absolute value of the mean It describes the variation of the data values around the median Oit describes the average distance between each data value and the mean

The prices of various dinners at Twon Dinner are shown in the table below Dinner Price Turkey 9 90 Cheeseburger 6 75 Chicken Salad 5 29 Spaghetti 8 15 What is the median price in dollars for the meals O 7 45 O 6 75

Question 1 Find the missing element in the data set 61 67 73 63 77 81 90 72 84 91 if the average of the entire data set including the missing element is 78 90 98 Points 3 99

Find the mode of the following data 6 8 9 9 9 10 11 14 15 18 07 06 09

1 Use radical notation to write the expression Simplify if possible 27 1 3 Select the correct choice below and fill in any answer boxes in your choice 1 3 OA 27 Simplify your answer Type an exact answer using radicals as needed o not a real number

The weights in pounds of 6 seventh grade students are listed below 93 110 79 95 98 83 Find the median of the weights O 83 lb O 79 lb O 94 lb

find the Quadratic model of the sequence If Clo 4 A 0 ay 0 an bontc

Question 9 During the first marking period Nelson s math quiz scores were 80 92 75 97 88 98 85 93 and 9 Find the median of the scores 80 97 Points 2 88

Expressions Find the midpoint of the line segment whose endpoints are given 7 7 and 3 1 The midpoint of the line segment is Type an ordered pair Ques

Find the mean median and mode for the following data 6 4 5 8 3 7 1 4 O Mean 4 5 Median 4 75 Mode 7 O Mean 7 Median 4 75 Mode 5 O Mean 4 75 Median 4 5 Mode 4

Find the graph of the solution set of the following system of linear inequalities 1 2 y 2x 1 Y x 4

Simplify the given expression Write the answer with positive exponents Assume that all variables represent positive numbers X 4 1 1 22 y x y 4 1 1 22

Identify the domain and then graph the function f x x 2 The domain is Type your answer in interval notation

Rewrite the polar equation r 4 cos 0 as a Cartesian equation

A curve with polar equation r 44 8 sin 41 cos represents a line This line has a Cartesian equation of the form y mx b where m and b constants Give the formula for y in terms of For example if the line had equation y 2x then the answer would be 2 x 3

Given the function R x y 6x 2y 30 4x 3y 30 x 0 y 0 a Enter the maximum value of the function f x y 2x 3y on the convex region defined by b Enter the coordinates x y of a point in R where f x y has that maximum value

In this question we prove that certain sets are not convex For each of the following sets give the coordinates of two points where P and Q are in the set but the line from P to Q goes outside the set For example if the points are 1 2 and 3 4 enter in the format 1 2 3 4 a R x y x y 1 y 0 3 1 2 2 1 2 3 1 2 2 1 2 b S x y x 2 y 5 U x y x 3 y 10 0 1 0 1 x y x 3 n x y y 5

Which of the following are rational numbers Select all correct answers Select all that apply 0 1717717771 13 2 4 0 1313131313

Describe and give an example of the difference between rational and irrational numbers

Mary owes 1 284 69 on her credit card at the beginning of the month of June After 12 days have passed she makes a payment of 150 on her account reducing the balance Her card has an annual interest rate of 8 and it uses the ADJUSTED BALANCE METHOD for determining finance charges How much interest will Mary need to pay for the month of June Round your answer to the nearest penny

Find the median of the following data set 4 8 3 5 2 1 5 04 2 03

Question 5 Points 2 Find the range of the given data 15 19 7 8 20 20 9 8 11 O 11 08 13

Find the 9th term of the arithmetic sequence 10 14 18

Find the 4th term of the geometric sequence 4 22 121

The height and diameter of a cylinder are equal Find the volume of the cylinder if the radius is 5 in O 50 TT in 5 3 O250 in 3 150m in

4 Given that sin a and cos b 7 find the exact values of sin a b and cos a b Step 1 Since sin a cos a Step 2 Since cos b sin b Step 3 cos a b 4 4 7 4 74 with a and b both in the interval and a in the interval 72 2 T and b in the interval 2 7 9 J 2

Solve sin 82 cos 5x cos 8x sin 5x 0 55 for the smallest positive solution a Rewrite the left side using sum difference identities 0 55 b Solve for the smallest positive solution in radian Round to 3 decimal places X

A pizza has a diameter of 16 cm What is the area of the pizza Use pi 3 14 O 301 1 sq cm O200 96 sq cm O401 sq cm

Write the arithmetic sequence 14 7 0 7 in the standard form

Your credit card billing cycle is 12 days You started your billing cycle with a balance of 900 On Day 5 you made a 500 purchase On Day 11 you made a 800 payment to your account What is your average daily balance O 1 100 O 1 400 O 1 200 O 1 300

Question 5 Points 1 Find the area of the rectangle whose length is 14 cm and whose width is 7 cm O 79 cm 98 cm 65 cm

Find the area of the following polygon by composing into rectangles or decomposing into triangles 446 14 16 8 20 500 sq units 526 sq units 484 sq units

If a cylindrical water bottle has a radius of 6 centimeters and a height of 10 centimeters how many cubic centimeters of water will it hold 360 pi cubic centimeters 600 pi cubic centimeters 120 pl cubic centimeters

Write a logarithmic equation corresponding to the graph shown Use y log x as the parent 7 6 5 function 7 6 5 4 3 2 1 4 3 2 1 T 234 5 6 7 12 3 Preview 4 5 6 7

Question 1 Points 1 Find the area of an obtuse triangle with a base of 11 cm and a height of 9 cm O 49 5 cm O 99 cm 99 5 cm

Find the slant height of a regular pentagonal pyramid with the length of an edge of 6 cm and a lateral surface area of 555 cm 34 cm 30 cm 37 cm