Sequences & Series Questions and Answers

Solve the following inequality for x Select the correct answer below x 8 x 8 Ox 8 3x 24

15 Given that there are 16 ounces in a pint convert a rate of 36 pints per hour to ounces per minute

8 D x All work must be shown on this page for full credit 15 Find the surface area of the figure below 7 14 9 in A 508 94 in B 763 41 in C 841 27 in D 1 017 87 in

Determine whether the following polynomials span P En P 1 x 2x P 3 x P 5 x 4x P 2 2x 2x

3 21 Find the volume of the figure below 26 5 yd 9 6 yd 13 14 All work must be shown on this page for full credit 4 A 2 557 51 yd B 2 383 79 yd C 2 109 25 yd D 2 792 39 yd

Find the average rate of change over the interval 2 7 Year x Funding in dollars per person f x 3 4 2 1 75 1 42 5 6 7 1 05 1 15 1 19 1 20 1 19 8 9 1 10 10 1 00

Make a rough sketch of the graph of the polynomial function P x c x a x b if a 0 b 0 and c 0 explain

Verizon charges a 100 initial contract fee then 70 a month for a basic cell ph plan What is the slope rate of change

2 Below is a table of people in the park and the activities that they do Complete the frequency table below based on the total participants Activity Male Female Total Jog 9 Topping Male Female Total Fly Kites 4 1 Jog Picnic 10 IS 50 Create a Relative Frequency table based on the total number of participants To create a relative frequency two way table for all 50 people divide each number in each cell by 50 Hint Use percentages 25 Fly Kites Total 23 Picnic Total

Solve the following quadratic inequality Select the correct answer below O 0 U 4 O 0 U 4 O 0 4 O 0 4 x 4x 0

e equation the the total and verticalines pasong through the point 5 k horizontal line 0 0 0

Consider the following triangles A ABC A DEF Note that these triangles are not drawn to scale Step 2 of 2 Find the value of y Express your answer in fraction form without reducing to lowest terms N 10 8 B 20

marathon times min 135 211 220 180 175 161 246 201 192 167 235 20

Solve the following rational inequality for Select the correct answer below O 4 U 1 6 O 4 1 U 6 O 4 U 1 6 O 4 1 U 6 O 4 U 1 6 x 6 x 3x 4 0

E a The range of the function whose graph is shown above is 5 5 Interval notation required No spaces b The equation of the horizontal line is y 5 Use lowercase x and or y No spaces c The equation of the line that is descending going down is y 2x 1 Use lowercase x and or y No spaces

Find the component form and the magnitude of the vector v component form magnitude 7 4 T

Write two ordered pairs for r 0 Angles are multiples of 30 or 45 For the first point r 0 For the second point r 0 For both points 0 0 360 The point is or

Use the unit circle to evaluate the six trig functions of 8 5 sin cos 0 tan 0 csc sec

ols org bookmarks go solve 16266749 kphillips surfaceAreaFromANet OER Project Home A21ST century libr m HBO Max JThe Juice Daily Ju Infir 9 53 ft classlink Elijah wraps a gift box in the shape of a triangular pyramid The figure below shows a net for the gift box 11 ft If all the triangles are equilateral how much wrapping paper did he use in square feet

Simplify 8 cott csct 4 csct 16 cott csct 4 csct 8 cott csct 4 csct 16 cott csct 4 csct Simplify your answer

wing spans cm 150 126 139 144 125 149 133 140 142 149 150 127 130

Use the unit circle to evaluate the six trig functions of 0 720 sin cos 0 tan 0 csc 0 sec 0 cot 0

A series is the indicated sum of the terms of a sequence The symbol which is the Greek letter sigma is used to indicate a sum The number of minutes that Ken walked on the nth day is a 20 n 1 5 We can write the sum of the number of minutes that Ken walked in sigma notation 14 14 a 20 n 1 5 n 1 n 1 The n 1 below is the value of n for the first term of the series and the number above is the value of n for the last term of the series The symbol 14 a can be read as the sum of a for all integral values of n from 1 to 14 n 1

A survey of people to determine who regularly buys products A B and C gave the numbers shown in the diagram at the left 2pts each U 80 2 12 24 19 14 B 30 I 9 How many buy product B or C but not A BUC NA 10 How many do not buy either product A or product B7 AUB

2 Create 1 function for each of the following parts which has the following domain a 0 x b 0 x c x 10 U 10 x d 2 U 5 e 1 3

Determine if the relation defines y as a function of Yes this relation defines y as a function of x No this relation does not define y as a function of x X

12 X 13 15 The solution set is at is Solve the system by using Gaussian elimination or Gauss Jordan elimination 5x 9y 5 61 2y 3z 17 3x 2y 82 18 16 DO 17 18 19

Use the figure at the right Determine whether the given statement is true or false G F C H Is the statement G F C H true or false false www CO D B G K E H C D

e b Write the nth term of each 11 18 16 14 12 n 10 14 2 1 2 2 2 3 2 4 n 20

Explair Developing Skills In 3 8 determine if each sequen common difference 3 2 5 8 11 14 6 20 15 10 5 0

Is an arithmetic sequence If t 4 3i 1i 1i 3i 5i 7 1 2 4 8 16

Based on the order of operations which shows the first step in simplifying this expression 16 2 6 7 4x5 A 8 6 7 4x5 B 16 8 7 4x5 C 16 2 6 11x5 D 16 2 6 7 20

EFGH is a parallelogram Select the true statements used to prove that opposite angles of a parallelogram are congruent Select two E H R R TO Y 8 F G AEFHAGHF by the angle side angle congruence criterion Za Zo because alternate interior angles are congruent when a transversal crosses parallel lines Za Zy because same side interior angles are congruent when a transversal crosses parallel lines AEFHAGHF by the side angle side congruence criterion

Part D Which of these is a carboxyl group A A OC B P B H D E F

on Bay over the day One cycle of tides is completed every 12 hours At low the average sea level in rise and fall tide students measured the height of the water at 1 5 m above the sea floor and at high tide it was 7 5 m above the sea floor Assume that the beginning of the tide t 0 the height of the water starts at average sea level A Sketch the graph of this function B What is the amplitude period and center of this function C What is the equation of this function D What is the depth of the water at t 2 hours E What time s will the depth of the water be 5m

1 14 Which graph represents a trigonometric function with amplitude 5 frequency and midline y 3 4 A AT B F F x 4 S A A AT AAA

A W NA ANN WA 1 2 3 4 Determine the period 4 8 12 16 20 24

x Determine if the event described is independent or dependent Each category contains exactly two answers Independent Dependent You draw two cards from a deck at the same time What is the probability that you draw a heart and a spade You roll a die once and then roll a die a second time What is the probability that you roll a five and a two Your teacher wants to choose two students to help with a problem He chooses one student from the class and then another The class has ten boys and eight girls What is the probability that he chooses a boy and then a girl What is the probability of getting a heads and a four

4x Trevor is going to Debra s Steakhouse and really wants filet for dinner and creme brulee for dessert He knows that the probability of getting a filet at Debra s is 0 9 and t probability of creme brulee being a desert is 0 77 If he knows the two events are independent of one another show the calculation for P getting a steak and getting a creme brulee 0 9 0 77 4x A 4x 2 B C D 0 77 0 9 0 9 0 9 0 77 09 0 77 0 9 0 77

x x If ABCD is a square and AB 10 what is the measure of BD rounded to the nearest hundredth x A B 7 07 C A 14 14 D E

Given that lines a and b are parallel and that m 24 128 find m27 A 42 B C 32 28 D 62 be 1 2 7 8 3 4 5 6

4 Water lumber mills in historic parks A typical water wheel makes 1 complete revolution every 30 seconds A paddle starts its cycle 1 meter below the level of the water and reaches a maximum height of 7 meters above the water Assume that the timing starts when the paddle is at the top of the water wheel A Draw a graph that models the motion of the wheel B What is the amplitude and period of the water wheel C What is the equation of this function D If a paddle begins at the top of the wheel how far above the bottom is it after 5 seconds E How much time does it take to be 1 5 meters above the water

6 A new car is purchased for 17900 dollars The value of the car depreciates at 13 25 per year To the nearest tenth of a year how long will it be until the value of the car is 4800 dollars

In Exercises 1 6 evaluate the expression for a x 2 and b x 3 1 2x 4 6 2 at AND CalcView 5 5 1 03 In Exercises 7 16 determine whether the function represents exponential function and describe the end behavior See Frau

Find the equation 1 KIN 2 A y sin x 2 B y sin x 1 C y sin x D y sin x 2

Find the equation 1 KIN 2 A y 1 cos x 2 B y 1 cos x 2 C y 1 cos x 2 D y 1 cos x 2

What is the y intercept of the graph of y T X 5 X x 5 x 4

mba 7 The time t traveled by Delmar in a car varies inversely as rate r If Delmar drives at speed of 80 mph in 12 hours what will be the time to travel if he drives at 60 mph

3 Write the 1 log3x log34 log32 7log3x 4 log3x a SINGLE logarithm SIMPLIFY if possible 2 log log 4 log3c log 4d 2 log 5e

Given the following exponential function identify whether the change represents growth or decay and determine the percentage rate of increase or decrease per unit of x to the nearest tenth of a percent y 300e n 0 92 x