Sequences & Series Questions and Answers

Solve the equation If there are multiple solutions separate any solutions with a comma If the solutions are complex use a bi form Do not use any decimal values Simplify any radicals 4g 2 600 Solution g NOTE To input a b type a sqrt b

Consider the function f x x 4x 29 a State the equation of the axis of symmetry of the graph of the function Be sure to simplify b State the vertex of the graph of the function Be sure to simplify

A triangular banner has an area 960 square meters Find the measures of the base and height of the triangle if the base is five sixths of the height The base measures The height measures Select an answer Select an answer

2 3 O 13 6 O 34 1 Question 2 20 points What area is between 1 standard deviation below and 1 standard deviation above the mean O O O x 0 50 x 0 68 x 0 95 none of these Question 3 20 points Determine the area under the normal

O none of these Question 3 20 points Determine the area under the normal curve between the z scores z 0 8 and 1 6 as shown in the graph O 0 267 0 684 O 0 733 0 80 Z scores 1 6 o

Quizzes Phoenix 2023 Algebra X quizzing user attempt quiz start frame auto d21 ou 2538626 isprv 05 Section Quiz ength 2 00 00 1 2 1 3 Neftali Moreno Miranda Attempt 1 Question 1 20 points The D O T collected data for a part mph with a standard deviation of

Question 5 14 3 points Consider the following histogram in which a student created a histogram about the heights of males in his classroom Frequency 5 432 1 67 in 68 in O 67 inches O 68 4 inches O 68 5 inches O 69 inches 69 in Height inches 70 in What would be the mean height of the males in the student s classroom Question 6 14 3 points 71 in

Question 3 14 3 points Consider the following Ordered Data Set 5 22 23 30 34 34 39 40 41 48 Which line plot below best represents the data set O O 0 0 0 20 20 20 20 40 40 40 40 60 60 60 60 Question 4 14 2 points In the following data set what word would best describe the data entry 10 10 18 18 19 19 20 21 21 23 23 24

Rewrite the logarithm as an exponential equation 2 log 16 24 16 16 4 416 2 4 16

Rewrite the exponential equation as a logarithm 3 81 log813 4 log34 81 log 81 4 log 3 81

Which function does the graph show 5 4 3 2 1 5 4 B 4 1 2 3 4 5 5 f x 3 1 f x 3 2 Of x 2 1 f x 2 2 x T 2 3 4 5

A coin sold for 215 in 1980 and was sold again in 1989 for 447 Assume that the growth in the value Vo the collector s item was exponential a Find the value k of the exponential growth rate Assume V 215 k Round to the nearest thousandth

need to solve these using trig identities S 7 2 Sinx 3 cock 3 2 cos X 1 17 Cos 1 Cos X 2 111

1 5 Tranformations For each equation below determine if the function is Odd Even or Neither f x 2 Select an answer z g x 2x z h x 2x Select an answer Select an answer D

21 Using math symbols write Four less than three times a number is equal to three fifths the same number increased by seven 4 3x x 7 04 3x 7 x 3x 4 x 7 O 3x 4 7 3x

1 2023 21212 2023 n 1 2623 1 2027 420720 2027 202 AN n

A college wants to increase the student body from a current size of 1500 by 60 students per year How many students would be attending after three years of such an increase

A local farmer started a chicken coop with initially 4 chickens 1 of which was a rooster The next month there were a total of 7 chickens counting the chicks If the same exponential growth rate continues each month which of the below functions would best model this population growth Let x be the number of months since the farmer started the raising chickens p t 4 7x p t 4 3x p t 4 1 25 p t 4 1 75 555

Test the series for convergence or divergence using the Alternating Series Test 1 Identify b n 1 Evaluate the following limit lim b

Solve the following equation log 27 N W 2

Solve the following equation 3 logx27 2

Solve the following equation log 5x 4 4

A marketing company surveys 2 400 people They surveyed twice as many females as males How many males and females did they survey Number of males surveyed Number of females

Write the equation of the function graphed below 2 x 1 2 y x 1 2 Oy Y x 1 2 y x 2 1 2 3 4 5

From which of the following intervals does the graph of f x appear to be decreasing Describe the interval using SET NOTATION 4 5 x 0 2 x 1 1 x x 2 f x 5 4 3 23 4 5 2 3 5

C the following exponential equation Express irrational soluti 6 6 1 91 0

Give the equation of the rose curve drawn below Or 3 cos 40 Or 8 sin 30 Or 3 sin 40 Or 3 cos 80 3 3pi 8

232 O PR Which of the below is equivalent to x Hint rewrite in rational exponential form first mida ya S C Dieta Wak K X le 10

How much would you pay per month on a 24 000 ca if the annual interest rate was 4 for 6 years How much total interest would you pay over the 6 years A 503 67 4 563 12 B 375 05 3 003 60 C 603 86 4 231 60 D 133 33 2 343 45

2 x 2 Graph the rational function f x x x 10 1 O 3 2 34

If the binomial expression 4 b were to be expanded which term of the expansion could be determined by the expression c 40 2 The 1st term of the expansion The 2nd term of the expansion The 3rd term of the expansion None of the terms The expression was set up incorrectly

6 Determine the measure of the unknown side in each triangle Round answers to the nearest tenth of a unit a A 9 8 m B C 5 2 m C b 14 6 cm E c h 14 1 mm 9 7 mm

Let csc A 5 with A in QII and find sin 2A mmmm

Write the function for the graph of h x h x 5 x h x x 5 h x x 5 h x x 5 24

5 4 3 2 4p 45 5432 5 LX 2345 tion f x 3x 1Xx 1

Calculate the degree measure of angle A that the staircase makes with the ground rounded to one decimal place when x 7 11 and y 5 4 Hint changing the measurements into inches will make it easier X

Q1 A bag contains 15 strawberry lollipops 20 cola lollipops and some lemon lollipops What is the ratio of lemon lollipops to strawberry lollipops Q2 Write the equivalent rate 1 2 14 km 1h 45 min 2 km 7m 1 week 7h 1 km

Scores on the SAT for the class of 2007 were roughly normal with a mean of 1511 and a standard deviation of 194 a What was the range of the middle 68 of SAT scores J b What was the range of the middle 95 of SAT scores 0 0 c How high must a student score to be in the top 2 5 of SAT scores

Name each set using the roster method The set of whole numbers 8 through 11

A woman s shoe that is size x in country A is size s x in country B where s x x 16 A woman s shoe that is size x in country B is size p x in country C where p x x 3 3 Find a function that will convert country A shoe size to country C shoe size The expression for the function is Use integers or decimals for any numbers in the expression

Create the circumscribed circle for triangle RST with vertices at R 3 6 S 3 6 and T 3 2 on the grid provided on your answer document

Chapter 5 6 Skills Builder Question 2 5 1 C5 Fill in the blank in the sentence below so that the resulting statement is true When solving When solving 4x 5y 32 5x 2y 23 by the addition method we can eliminate x by multiplying the first equation by 5 and the second equation by SIDE HW Score 30 6 of 20 points O Points 0 of 1 and then adding the equations 4x 5y 32 5x 2y 23 by the addition method we can eliminate x by multiplying the first equation by 5 and the second equation by V and then adding the equations

The graph below shows Sally s distance from home over a 30 minute time period Distance from home miles 16 14 124 10 Pa 6 10 15 Time minutes 20 25 30 a Identify the vertical intercept Write it as an ordered pair label it on your graph and interpret its meaning in a complete sentence b Identify the horizontal intercept Write it as an ordered pair label it on your graph and interpret its meaning in a complete sentence c Determine the slope Interpret its meaning in a complete sentence d Determine the practical domain of this linear function Use inequality notation and include units e Determine the practical range of this linear function Use inequality notation and

The linear function B n 20000 4000n models the amount in your college savings account as a function of the number of semesters n that you have attended school a Use the Table feature of your calculator to help you complete the table below for this function Graph the results and decide if it would make sense to connect the data points on the graph n B n O 2 3 4 5 b Identify the vertical intercept of this linear function Write it as an ordered pair label it on your graph and interpret its meaning in a complete sentence c Identify the horizontal intercept of this linear function Write it as an ordered pair label it on your graph and interpret its meaning in a complete sentence d Identify the slope of this linear function and interpret its meaning in a complete senterice e Determine the practical domain and practical range of this linear function Use

umework Part I Give a limit expression that describes t lim 818 6x 9 7x 4 Select the correct choice below and if

Graph the equation y 3 2 x 2 5 3 4 2 1 Clear All Draw 5 4 3 2 1 1 2 3 5 1 2 3 4 for

10mework Part I Find each indicated quantity if it e

X Solve the equation 35 and check the proposed solution Begin your work by rewriting each equation without fractions Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is OB All real numbers are solutions OC The equation has no solution

Fill in the blank in the sentence below so that the resulting statement is true When solving x 6y 14 3x 2y 6 by the addition method we can eliminate x by multiplying the first equation by When solving x 6y 14 3x 2y 6 by the addition method we can eliminate x by multiplying the first equation by Type an integer or a simplified fraction 3 and then adding the equations CO and then adding the equations This ques

Graph the line y 2x 2 5 4 3 2 1 Clear All Draw 5 4 3 2 7 Z 2 3 4 5 1 er 2 3 4 5