Sequences & Series Questions and Answers

6 How does the surface temperature of Venus compare to surface temperatures on Earth Why is Venus this temperature

5 Try to use data from the most recent year available A How much Carbon Dioxide do the people of Earth add to the atmosphere in one year B Which four countries contribute the most CO to the atmosphere

Write a linear two variable equation to represent relationships between quantities from a graph a written description or a table of values within a mathematical or real world context 3 4 T Number of tickets Cost including processing fee 1 2 5 10 15 S 42 50 68 50 94 50 120 50 146 50 276 50 406 50 Sharon is ordering tickets for an upcoming basketball game for herself and her friends The ticket website shows the following table of ticket options Write a linear two variable equation to represent the total cost C of t tickets C Submit

What is the initial amount in the following equation f x 4 2 O f x O

12 4pts If all the graphs below have equations with form f x abe D A B E F a Which graph has the largest value for b b Which graph has the smallest value for b c Which graph has the largest value for a Which graph has the smallest value for a

Given the function ga 1 9 2 06 O 0 5 O 4 5 O 0 45 89 x 5 what is the value of x when g x

2 What is the variable in the following equa f x 1 1 6 6 3 O 1 3 O 6 O x O f x

Find the area of the given figure 10 cm 4 cm 4 cm 2 cm O88 sq cm O 100 sq cm 70 sq cm 12 cm 8 cm

Solve the following system of equations y 3x 2 and 3x 2y 13 O x 1 O x 1 O x 3 O x 3 O None of the choices are correct

Solve the rational equation below Be sure to state restrictions as well as check solutions at the end LO 5 2x 4 15 x 4

Ther following system of inequalities shows the feasible values that will make a profit for a manufacturing company Graph the system and find the vertices corners of the darkest shaded area where the lines intersa the region f x 2x 7 f x 3 f x 20 X20 0 3 2 3 0 0 3 5 0 0 3 3 2 0 0 0 7 None of these choices are correct 0 3 2 3 0 0 7 0 O 7 4 2 3 0 0 7 0

15 3pts Combine into a single logarithm 1 a 3 log x log y log z 2 b In 2x In 4y ln 5 c 3 log2 5 log2 11

x 3y 4 and 3x y 28 then find the value of y O None of these choices are correct y 10 O y 2 Oy 10 Oy 2

If the graph of a parent function is shifted either left or right then it is called a translation O slanting O horizontal O vertical

Question 68 Points 3 Dawn is making a pair of circular wire earrings The radius of each earring is 7 millimeters How much wire does she need to make the circular part of both the earrings 18 84 mm O21 98 mm O87 92 mm

Find the area of the given shape 2m 2m 3 m 5m O 4 sq m 19 sq m 25 sq m

Question 67 Points 1 The radius of a circle is 4 cm Find the circumference and area of the circle Use pl 3 14 O Circumference 15 5 cm Area 45 3 cm O Circumference 25 1 cm Area 50 2 cm O Circumference 50 2 cm Area 25 1 cm

If the constant 9 of the function y x2 9 is changed to 3 how will the new graph differ from the graph of yx 97 The new graph is obtained by shifting the old graph 6 units down The new graph is obtained by shifting the old graph 9 units up The new graph is obtained by shifting the old graph 6 units up

Solving Quadratic equations Simplify 4 1 Moon 3 3 5 3 254 2 96 3 1 1 5 53 45 3 5 5 6 5 2 5

13 4pts Starting with the graph of f x 3 find a formula for the function that results from a Shifting f x 4 units to the right b Shifting f x 2 units downwards c Reflecting f x about the x axis d Reflecting f x about the y axis

Aubrey is going to invest 160 and leave it in an account for 7 years Assuming the interest is compounded daily what interest rate to the nearest tenth of a percent would be required in order for Aubrey to end up with 220

14 The mean number of push ups done by a group of students was 68 with a standard deviation of 12 If Jane s Z score was 2 25 how many push ups did she do Gina Wilson All Things Algebra 2015

18 The data below represents the speeds of 10 cars picked up on a police radar If the mean is 58 and the standard deviation is 5 8 how many data values have a z score less than 0 8 50 52 53 54 56 57 62 63 65 68 Gina Wilson All Things Algebra 2015

Question 55 Solve the equation by using the quadratic formula 2x 7x 6 0 O 2 2 O 3 2 Points 2 O 3 2 2

on All Things Algebra 2015 20 The data below represerits the number of hours spent watching TV each week by a group of 15 people If the mean is 14 and the standard deviation is 5 3 how many data values fall within one standard deviation of the mean 6 7 8 8 10 12 13 14 15 16 18 19 20 21 23 0 0 E250

Question 43 Points 1 Find the quadratic function from the following O 3X 6y 8 O y x2 5x 6 O 3x 8x y

Find the quotient and remainder if any a 10x 20x 8x 16 2x 4 The quotient is The remainder is b 6x 53x 13x 79 x 9 The quotient is The remainder is

The table models how the population of a city has changed over time What does the y intercept represent 5 pts Years since 1985 Population 0 122 000 5 119 000 10 118 000 15 119 000 20 25 30 35 40 122 000 127 000 134 000 143 000 154 000 h

13 A set of data has a mean of 48 and a standard deviation of 5 If a data value in this set has a z score of 0 8 what is the data value MULTE 2015

Question 17 Consider the function f x 2x 4x 160 The direction of the graph is like which of the following The y intercept is at y The x intercepts are at x The vertex is at the point

9 a 6 b 15 y 10 5 5 10 15 Identify a and b for the hyperbola with equation 9 x a y 8 1

The Mixed Spin 1 and Spin 3 2 Blume Emery Griffiths Model on Bethe Lattice

The table below displays the purchases that Graphic DesignWorks made from a manufacturer this year for shorts If Graphic DesignWorks uses LIFO and it has 125 shorts left in its inventory what is the value of its current stock Month of Purchase Number of shorts June 40 July 60 August 80 September 90 Price per short 11 12 13 14

Determine if Horizontal Vertical h k a 6 y 25 11 x 1 is a hyperbola and if it is which type it is The transverse axis is 9 x h a y h a O Horizontal Vertical O Not a Hyperbola If it is a hyperbola write the equation of the hyperbola in its standard form If it is not a hyperbola leave the rest blank y k 6 x k 62 1 or 1

sk 1 ys I kept track of the amount of mail I received The data is below Monday Tuesday Wednesday Thursday Friday Saturday 7 2 6 3 Use the frequency table to create a histogram of the data Do you notice any patterns in the histogram 5 Sunday Put your data into a frequency table having intervals of 0 4 5 9 10 14 and 15 19 0

Complete the flow chart proof Given ATUS and AKIS are right triangles TO JR S is a midpoint of TR Prove ATUS AKIS T 98 00

exponents to express the between the dollar values of two prizes a contest Prize Bicycle Luxury vehicle Value 256 65 536

R 4 2 24 R is the matrix of a linear transformation consisting of a rotation with angle and a sc Determine 8 and r

vertical line BH 1914 8 through 1 8 Note Can you do detels then I can understand Propenly Plz

Determine whether any causation is there between the two variables 1 5 X y OYes O No 0 3 2 O Cannot be determined 4

Find the infinite sum if it exists for this series 2 0 5 0 125

Question 13 Points 3 The monthly sale in thousands of units for the tth month after the introduction of a product in the market is given by S 135t t2 50 In which earliest month would the sale S have been 9 10th O9th 5th

Sketch the graph of each function 17 y x 4x 8 3 2 1 n 2 3 4 5 x

The center of a Ferris wheel is 40 feet off of the ground and the radius of the Ferris wheel is 30 feet Point P is shown at 0 radians Q 1 Calculate how high off the ground point P is as the Ferris wheel rotates counterclockwise starting from 0 radians 7T

True or False If you owe 598 and make the minimum payment of 44 you still owe 454 O True False

A man gets a job with a salary of 31 200 a year He is promised a 2 230 raise each subsequent year What are his total earnings after 6 years

Solve the inequality 3 m 8 O m 5 Om 5 O m 5

c cos2x cosx cos x 1 x 0 2m d 2 sin x cos x 0 x 0 2m

Use series to approximate the definite integral to within the indicated accuracy 0 7 0 sin x dx with an error 10 6 Note The answer you derive here should be the partial sum of an appropriate series the number of terms determined by an error estimate This number is not necessari the correct value of the integral truncated to the correct number of decimal places

3 Joey deposits 6 000 each into the two savings accounts described below If he doesn t make any other deposits or withdrawals find the combined amount of the accounts after 10 years ACCOUNT II 3 5 annual compound interest ACCOUNT I 3 5 annual simple interest