Sequences & Series Questions and Answers

A p 0 B p 0 C Find all x values for which p x 4 D What is the slope of the line graphed to the left

In the space below graph the function f x tan 1 2 x 14 TT and clearly label the asymptotes Notice the x axis is in radians while the y axis is listed as integers

Based on the data shown below a statistician calculates a linear model y 2 02x 0 68 x y 2 6 54 6 86 7 38 10 355 4 6 12 12 7 13 34 8 18 26 9 19 78 Use the model to estimate the y value when x 7 y Use the model to estimate the y value when x 7 y Question Help Message instructor

Write the first four terms of the geometric sequence with the given properties a 3 r 2 HE HE

Use the properties of logarit should be positive

appens after Tybalt kills 1 point The table shows the number of gallons of gasoline in a ca

logbM loga M logaM

Expand each logarith xy Z log3 2ln x ln x 3

x 13x 30 2x 14x 20x 2x3 8x x 10x 25

What is the sum of the infinite series 1 A B cil T 9 5 2 1

Use the properties of logarithms to expand the logarithm Simplify if possible loga 3x 2y 52 Note If you are using log you need to type it in and use the subscript button on the keyboard There is no log button Provide your answer below log 3x 2y log 5 2x log z

y e x 2 Show Transcribed Text domain range y 3 State the domain and range Enter your answers using interval notation State the asymptote y 2 2

Use the given information to find a sin s t b tan s t and c the quadrant of s t 6 7 s in quadrant II and t in quadrant IV 3 sin s 7 and sin t a sin s t Simplify your answer including any radicals Use integers or fractions for any numbers in the expression b tan s t a Simplify your answer including any radicals Use integers or fractions for any numbers in the expression c What is the quadrant of s t Quadrant III Quadrant I Quadrant II Quadrant IV

The diagram shows some 3 sided 4 sided and 5 sided shapes The shapes are black or white a Complete the two way table 3 sided shape 4 sided shape 5 sided shape Total Black 2 Ed takes a shape at random b Write down the probability the shape White 4 0 white and 3 sided Total 5 3

Use identities to find the values of the sine and cosine functions for the following angle measure 12 13 O given that cos 20 and 0 terminates in quadrant I sin 0 a Type an exact answer using radicals as needed Rationalize all denominators Cos 0

Where is f discontinuous Select one a at 1 c b at z 0 c at z 1 d nowhere e at z 0 and 1 f x S I if r 1 z 1 ifr 1

1 1 point A parking attendant earns 45 for every 5 cars he parks in the valet park 10 8 7 Money 0 20 40 60 80 100 Cars in Lot C

Outlier Absolute Deviation Question 3 25 points Jason just got his progress report Based solely on data points which measure of central tendency should be used based on the following grades 99 85 16 60 88 85 88 90 O Mean O Median O Mode O Range Question 4 25 points Which center would best represent the data based on the data points alone

Logan wants to mix a 19 acid solution with a 47 acid solution to get 15L of a 39 acid solution How many liters of the 19 solution and how many liter of the 47 solution should be mixed Part 0 2 Part 1 of 2 There are L of 19 acid solution 08

2 Use your previous answer to estimate the integral 0 0005 Show work and explain your steps 2 2 de with an error of less than

segment AC lope of line segment AC cannot be determined because the triangles are not c ment AD because the ratio of the change in y values of the endpoints to the c for line segment AD 2 htAC because the ratio of the change in y values of the endpoints to the chan line segment AC ment AC because the ratio of the change in y values of the endpoints to the c for line segmentAC

Problem 1 a 8 7 and 6 are angles in quadrants 1 2 3 and 4 respectively such that Evaluate the following b c d e 1 sin a y 1 tan 8 8 cos 6 sin a B T cos a 3 sec a y sin a 8 8 COS Q csc B 0100 100 1 7 00 00 tan y 3 cot 6 5 2 5 3

1 0 m m ee 1 0 m Show Transcribed Text 9 m wo 3 8 gg point charges on 1 0 mm long threads repel each other after being equally charged as shown Figure 1 Assume that 0 12

Latoya deposited 4000 into an account with 4 interest compounded annually Assuming that no withdrawals are made how much will she have in the account after 5 years Do not round any intermediate computations and round your answer to the nearest cent 3

Get a similar question You can retry this question below Use algebra to solve for x in the equation 5x 7 4x 8 If your answer is a fraction write it in reduced fractional form Do NOT convert the answer to a decimal x Question Help Message instructor Submit Question

For the polynomial g x x3 5x 12x 60 use the Rational Zeros Theorem to list all possible rational zeros of the polynomial Then identify all roots of the polynomial Possible rational roots O 1 2 3 4 5 6 10 12 15 20 30 60 O 1 2 3 4 5 6 10 12 15 20 30 60 1 2 3 2 5 2 15 2 1 3 2 3 4 3 5 3 10 3 20 3 O 1 2 3 4 5 6 10 12 15 20 30 60 1 2 3 2 5 2 15 2 O 1 2 3 4 10 12 15 20 30 Give a comma separated list of all the zeros real or complex of the polynomial Hint Remember to enter an irrational number either use the math quill option the up arrow to the right of the answer key or the code sqrt

Consider the function the following rational function 10 48 8 6 4 2 t6 4 2 2 6 8 10 2 4 6 1 The equation of the horizontal asymptote for this function is 2 The equation of the vertical asymptote for this function is Which of the following would be the domain of the function Select an answer

For the polynomial g x 2x3 3x 16x 24 use the Rational Zeros Theorem to list all possible rational zeros of the polynomial Then identify all roots of the polynomial Possible rational roots O1 2 1 2 2 3 1 4 1 8 1 12 1 24 O 1 2 3 4 6 8 12 24 1 2 2 3 1 4 1 8 1 12 1 24 O 1 2 3 4 6 8 12 24 1 2 3 2 2 3 1 4 1 8 1 12 1 24 O 1 2 3 4 6 8 12 24 1 2 3 2 Actual zeros of the polynomial Hint Remember to enter an irrational number either use the math quill option the up arrow to the right of the answer key or the code sqrt

For the polynomial g x 3x 2x2 72x 48 use the Rational Zeros Theorem to list all possible rational zeros of the polynomial Then identify all roots of the polynomial Possible rational roots O 1 2 3 4 6 8 12 16 24 48 1 3 2 3 4 3 8 3 16 3 O 1 2 3 4 6 8 12 16 24 48 1 2 3 2 2 3 4 3 8 3 16 3 1 4 3 4 1 6 1 8 3 8 1 12 1 16 3 16 1 24 1 48 O 1 3 1 2 3 2 1 3 1 4 3 4 1 6 1 8 3 8 1 12 1 16 3 16 1 24 1 48 O 1 2 3 4 6 8 12 16 24 48 1 2 3 2 1 3 1 4 3 4 1 6 1 8 3 8 1 12 1 16 3 16 1 24 1 48 Actual zeros of the polynomial Hint Remember to enter an irrational number either use the math quill option the up arrow to the right of the answer key or the code sqrt

ur answer is the Greatest Common Factor of 42x 84x 21

Express as a difference of logarithms log H

Find the perimeter and area of the figure pictured below 12 2 8 Image Description Perimeter 1 4

t R be the region bounded by the graph of y Find the area of R BI U X X S 22 3 x 1 Va A M 3 2 N 1 the z axis and the vertical line A R 3 2 X 4 shown in the figure above

redbu Nationa Park Wrangell St Elias National park and preserve in Southern Alaska is the largest National park in the united State Its area is 3 321 Square kilometers Determine the park s area in Square miles H id lcd tu sotul Favo9 20581 9 truy

Sketch the graph of the polynomial function f x x 2x Choose the correct graph below O A OB O C O D

et AABC be a right triangle With Sides a b and hypotenuse C IF d is the altitude to the hypotenuse show that 1 1 a 2 b d by a

The range of a function is the set of all real numbers greater than 0 Which of the following must also be true O The domain of the inverse is the set of all real numbers less than 0 The function is a one to one function The domain of the inverse is the set of all real numbers greater than 0 The range of the inverse of the function is the set of all real numbers

The inverse of X X 4 Hint use the horizontal line test QUESTION 7 The inverse of f x 1 x V a function a function

The perimeter of the triangle shown to the right is 134 meters Find the length of each side The lengths of the sides are meters meters and meters Type integers or decimals Use ascending order 4x m 7x 5 m 7x 3 m

Instead of using inequalities to describe domains and ranges we can use interval notation For example 3 x 5 can be written 3 5 The population of a small town in the year 1960 was 100 people Since then the population has grown to 1400 people reported during the 2010 census Use interval notation to write the domain and range 3 5 Domain Years Y Range Population P 3 X

9 9 The half life of silicon 32 is 710 years If 30 grams is present now how much will be present in 300 years Round your answer to three decimal places A 1 604 B 22 383 C 29 134 D o 10 An endangered species of fish has a population that is decreasing exponentially A Agekt The population 9 years ago was 1500 Today only 1000 of the fish are alive Once the population drops below 100 the situation will be irreversible When will this happen according to the model Round to the nearest whole year A 51 years from today C 52 years from today B 50 years from today D 53 years from today 10

0 Determine the sum of the following arithmetic series 9 3 3 123

For the following exercises solve the equation for x if there is a solution Then graph both sides of the equation and observe the point of intersection if it exists to verify the solution 7 log3 4 x 6

Convert the binary base 2 number 100100101100 2 to decimal base 10

Which of the following are equivalent to 2 log u g u log 1 1 log log u 7 0 2 log u 1 log u

7 Determine whether each geometric series is convergent or divergent Find the sum if the series is convergent a 1 0 4 0 16 0 064 0 0256 c n 2022 2n 1 5n b 52ng n n 1 8 d 0 8 1 0 3 n 1

1 point The inequality describes the interval 2x

If a principal P is invested at interest rate I expressed as a decimal and compounded n times a year in t years it will grow to an amount A given by P is the i is the n is the t is the A is the nt A P 1

If a 1 the function is increasing 91 a f x Horizontal Asymptote at y 0 Domain 00 00 If a 1 the function is decreasing 0 1

Suppose that 1000 is invested at 8 compounded quarterly How much is in the account at the end of 3 years