Sequences & Series Questions and Answers

sec 177 6 13 sec 14 cot 5 T 3 15 sin 360

What is the asymptote of this function 6 5 N 3 A 5 6 N 8 6 0 2 3 1 6 A er

2 the length of side d in A DEF if e 7 f 6 5 an D 33 Find the measure of if x 4 y 2 and Z 5 angle X in AXYZ 3 Find the area of A ABC if a 10 b 15 and C 82

What is the DOMAIN of this function in A 3 N O 3 5 6 7 8 9 2 0 2 3 1 6 erf

SECTION TWO Instructions Find the missing side Round to the nearest tenth 14 X 17 60 16 X 51 10 18 53 12

Which function is show inthe graph below 6 50 Y 3 N 14 0 0 2 5 6 7 8 2 3 4 9 1 6 Q 5

Sr 90 has Select Select fewer more neutrons than Y 91

5 DC is 35 inches and BC is x 7 What is the value of x

T Text amount in dollars Highlight 4 500 4 000 3 500 3 000 2 500 2 000 1 500 1 000 500 While on a beach your friend discovers a different genie This genie also offers two purses to choose from and he gives you the following graph to show how the money in each purse will grow The set of triangular marks that lie on a line represent values in Purse A and the set of square marks that make a curve represent those in Purse B Paragraph Purse A 2 3 4 Insert 5 Comment Purse B 678 9 10 11 12 13 14 15 number of days The genie is still deciding how many days he will let the money in the purses grow Help your friend plan a strategy for picking the purse with the most money while the genie thinks

d p x x 4 5

Cool Down The Depreciating Phone Suppose that a phone that originally sold for 800 loses of its value each year after it is released 1 After 2 years how much is the phone worth

Lesson 5 Representing Exponential Decay Cool Down Acetaminophen Acetaminophen is a common pain reliever and fever reducer Here is a graph showing the amount of acetaminophen in milligrams in an adult s body at different times after they take a normal dose 1 250 1 000 acetaminophen mg 750 500 250 0 1000 1 750 2 562 5 2 3 4 time hours 1 What is the vertical intercept What does it mean in this situation 5 8 2 What fraction of the medicine remained after one hour 3 Write an equation that represents the amount of medicine a after t hours

ewrite 3 x 9 T 36 6 4 z r 30 as a product

Find the angle B Do not use a calculator C A 7 45 O 7

Match each vocabulary term with its correct definition A relation in which each element in the domain corresponds with only one element in the range Rewriting an expression as the product of its factors Any change made to a parent function such as a dilation reflection rotation or translation Iff is the name of the function this shows the function name f and also represents the range value f x for the domain value x 2 points Transformation Factoring Function Function Notation

Find the bases for Col A and Nul A and then state the dimension of these subspaces for the matrix A and an echelon form of A A 1 2 3 3 3 7 14 12 27 1 5 0 6 2 11 25 24 13 31 3 A basis for Col A is given by 1350 6 0142 1 0 0 0 1 2 0000 0

Question 28 10 8 6 4 Slope m 2 10 8 6 4 2 2 Find the slope of the line 8 10 2 4 Enter your answer as an integer or 6 M 8 10 q

2 Determine whether y varies directly with x If so find the constant of variation and write the equation y 4 4 no 2 yes 2 2 4 yes k 3 and x 3y 2 yes k 3 and y 3x k 1 y 3 and 113 4 X

Consider the following function g x 42 Step 1 of 2 Graph the original function by indicating how the more basic function has been shifted reflected stretched or compressed

4 cos x y cosy sin x y siny cosx

A spider ate 25 more bugs this month than last month The spider ate 8 bugs last month How many bugs did the spider eat this month bugs

9 and b P wh 5 k Find k and p so that Ax b has infinitely many solutions k Let A P where k and p are constants Describe this solution set for the given linear system geometrically A point in 2 space O A line in 2 space OA line in 3 space A plane in 3 space

AABC is a right angled triangle at B Find

What is the method for writing zeros and x intercepts O both are written as an ordered pair x 0 O zeros are written as just the x value and x intercepts are written as an ordered pair x 0 O both are written as just the x value

Which options represent a function Select all that apply Domain 1 9 14 8 Range 4 2 6 2 6 B 8 H 37 54 3 2 10 15 Y 6 0 5 4 0 1 43 2 107 2 3 2 3 2 3 4 5 7

55 24 sin X tan 55 27 10 tan 95 27 X arlss 109 19 29 10 x 29sin 19 X 9 44 12 21 68 66 HO 21

The function defined by f t 12 1 0 03 can be used to determine the population in thousands of a town t years since 1955 According to the function what was the population of the town in 1955 and what was the percent increase in population from year to year Enter a number in each box to correctly complete the sentence on of the town in 1955 wor 12 X people and the percent increase in population from year to year was 3

Select the correct answer What is the approximate value of this logarithmic expression log 18 OA 1 80 OB 1 28 OC 2 89 OD 0 56 Reset Next

Question 1 YA Eqn 2 0 50 100 150 200 250 300 850 a Determine the equation of a sine function that matches the graph M b Determine a cosine function that matches the graph

nearest hour Number of Hours 5 6 4 7 8 1 2 how much she reads each week She records the time she spends reading to the Number of Weeks 1 1 5 4 4 2 1 10 Number of Weeks 9 8 S t M 2 1 0 Hours Reading 0 2 3 5 6 8 Number of Hours

What is the DOMAIN for this relation y 4 5 4 3 2 1 3 2 10 1 2 2 1 1 3 0 1 3 4 2 3 4 5 All real numbers 1 N 2 O 2 1 1 3 1 4 3 0 3 4 5 X

What is the exact value of sin 0 2 05 02 2 1 1

Customers 80 70 60 50 40 30 20 10 0 y 0 5 b Business Growth S 10 Day 15 20 25 X Ms Musto opened a new coffee shop She recorded the number of customers she served between opening time and noon for the first 20 days of business Her results are shown on the graph Which line best fits the data

Find the graph of y tan 2x A He B 2 D

Multiply 5 2 6 7 2 3 Sorry that s incorrect Try again

ould be the equation of the graph below O y tan 2x O y 2tan x O y tan x y 2 tan 2x 2 f ele 4 3 T N 3 Stat A 15 X

Assuming that you could complete the activity at the same rate over different time periods how much of the activity could you complete in two minutes three minutes four minutes and five minutes Note If you spent two minutes doing your activity then you should edit the table below and use multiples of 2 up to 10 You may use the table below for your variables Time minutes 0 1 2 3 4 0

Every two weeks a solar panel company selects fifty of their modules and measures their power output The most recent test gave an average of 320 watts with a 95 confidence interval of 315 325 If they don t update their manufacturing process or design about how many times a year will a sample have an average power outside this range 01 03 05 0 10

I 1 A 14x 6 130 58 16x 4 1180 3x Angle Theorem 7x 5 X 2 X 24 X 5x 10 20x 144 3x 24 x 35 x 28 4x 3 7x A X20 x 33 6x 1 X X17 7x 159 X 142 LES X122 5x 570 4x 3 689 Sx Df X34 5 9x 4y

The graph of f x x 2 x 3x 2 is shown Which of the following are zeros of f f x x 2 x 3x 2 y 5 4 4 2 2 4 2 3 3 2 4 1 5

Sketch the graph of the equation x y 16 4 1 Choose the correct graph on the right OA 5 B O D

Ordered 1 L hyperalimentation soluti to infuse in 12 hr Drop factor 20 gtt mL Flow rate gtt min

0 What statement best describes the characteristics of the function shown on the graph below The function fix is an odd degree polynomial function that has zeros at 20 3 1 2 and 3 B The function f x is an even degree polynomial function that has zeros at 3 2 1 and 3 A C The function f x is an even degree polynomial function that has zeros at 3 1 2 and 3 D The function f x is an odd degree polynomial function that has zeros at 3 2 1 3 and 20

In Exercises 19 22 find the area of the parallelogram whose vertices are listed 19 0 0 5 2 6 4 11 6 20 0 0 2 4 4 5 2 1 21 2 0 0 3 1 3 1 0 22 0 2 5 2 3 1 2 1

8 6 4 6 y g x 4 6 8 2 4 6 8 y f x

A company that sells canned vegetables buys 50 lb pallets of tomatoes from two area farmers For Farmer 1 the standard deviation is 2 1 pounds For Farmer 2 the standard deviation is 1 5 pounds A sample of 30 pallets from Farmer 1 had a mean of 48 3 A sample of 40 pallets from Farmer 2 had a mean of 47 9 Find the probability of observing these sample means if the two population means are equal using a test If your alpha is 0 1 what will you conclude O Fail to reject the null hypothesis which states that the population means are equal O Reject the null hypothesis which states that the population means are equal O You do not know enough to accept or reject the null hypothesis In this situation an ethical researcher will change the alpha so that the null hypothesis can be rejected

Two organizations that offer certification programs for community sport and high school sport coaches and instructors are O Human Kinetics Coach Education Center and Coaching Association of Canada O American College of Sports Medicine and American Council on Exercise National Youth Sports Coaches Association and National Association for Sport and Exercise National Collegiate Athletic Association and American Sport Education Program

8 6 4 Y 8 6 7 4 6 8 1 y g x 2 4 6 8 y f x da na

9 2 Fill the blanks 6 7 8 The The of Ais Leg opposite A hypotenuse of ZA is Leg adjacent A hypotenuse Find the value of x Round to the nearest tenth 18

Find the value x The diagram is not to scale A 17 B 44 OC 27 OD 63 1170 460