Geometry Questions

The series 20 24 28 8 34 56 is The series divergent convergent can not be determined The sum

Find a10 of a geometric sequence if the first few terms of the sequence are given by 2 4 8 16 Select one a 1024 Ob 1024 OC 1460 O d 518

Find the sum S 4 K 1 Select one O a 60 Ob 32 O c 108 d 54 2k 1

If the given sequence is a geometric sequence find the common ratio 64 32 16 8 4 2 Select one O a 2 b 2 O c 1 2 O d 4

Find the sum 5 S WE K 1 Select one a 31 Ob 16 C 48 d 0 2k 1

Find the sum of the first seven terms of the geometric sequence 2 10 50 Select one a 44 002 b 211 O c 31 234 Od 39 062

Find the 10th term of the sequence 3 6 12 24 48 The 10th Term is

A sum of a geometric series is given for n number of terms Find the value of n 1111 1 10 1 10 Select one a 4 b 121 O c 3 O d 5 2

Find as when a 2 and r 2 Select one a 128 Ob 32 c 64 Od 64

OA B 10 co 48 4 HB LA DIY 10 DNB 14 cy99 H K 34 10 C 8 9 THE INT 1999 2 1215 2 4 6 8 10 2 4 8 8 10 14 6 8 10 12 10 18 8 OC o 342 2 14 8

assity function graph as a linear function nonlinear function or relation non O A Linear function O B Nonlinear function C Relation

Given the function f x 150 2 Complete the following sentence An acidophilus culture containing bacteria after 12 hours bacteria in population every hour Predict the numbe

The graph below shows the function f x bx Which must be true about b TU 9 8 5 4 3 2 1 Select one a b 1 b b 1 c b 0 d 0 b 1 D 2N 7 N 65432 6 3 2 2 3 4 5

If f x 5x then find the value off 2 Select one a 1 Ob 25 O c 1 25 O d 5

Which equation is represented by the graph 10 10 10 5 Select one or more a y x b y 3 2 c y 5 d y 2 e y lo 5 10 10 5 10

Choose the graph of y ln x 1 Select one a b 10 10 5 5 10 5 0 5 10 10 5 0 5 10 10 5 5 10 10

If f z 2 Can f z ever become zero Select one a Yes b No

The function f x demonstrate quadratic increase linear growth exponential decay exponential growth linear degression

Find EF in the trapezoid EF x 7 A D A 4x E 35 B

Find the measures of the numbered angles in the kite m 1 O B A 49 D

Find the value of the variable in the isosceles trapezoid X 61 3x 10

Find the values of the variables in the kite X Type an integer or a fraction 3x 5 Jo 4x 40 8y 50

Find the measures of the numbered angles in the kite shown to the right m21 38 S 1 3 4

3 For independent random creams produced in two different factories the amount of fat was measured and summary statistics are given below Assume that the fat content is normally distributed Factory Factory B n Y S 13 31 2 2 5 11 30 8 3 4 a It is suspected that the creams produced in factory A are higher than the fat content of creams produced in factory B a 0 05 Write Ho and Ha take the test and interpret 20 points b Calculate the significance level of the test 10 points

Solve for x logx log x 9 1 Select one or more a x 10 b x 1 c None of these d x 10

Solve for x Round to the nearest tenth when necessary 1 5 1 14 5

find the domain of each function in interval notation f x 2r 5r 6 x 3

Luke incorrectly graphed the function g x log x 1 1 transformations of the graph of f x log x First he stated using what transformations to perform Then he drew the graph 1 A shift left 1 unit 2 A vertical compression by a factor of 1 3 A shift down 1 unit 2 1 04 2 y 3 1 2 3 1 2 3 3 4 What mistakes did Luke make Describe the correct transformations to ge

Solve for x Round to the nearest hundredth when necessary logsx4 2 5

Solve the following equation and find the value of x for which the logarithm is defined logx 4x 3 2 Select one a 2 b 1 O c 3 d 4

Solve the following equation log 9 27 x elect one a 2 3 b 3 2 c 4 3 d 3 4

Solve for x x log 2 2 Select one O a 1 2 Ob 2 OC 0 O d 1

For loga y to be defined a y 0 b a 0 a 1 Select one O True False

Which group shows the values in the order from greatest to least Select one a log 10 In 10 log e In 1 b In 1 log 10 In 10 log e Oc log e In 10 log 10 In 1 Od In 10 log 10 log e In 1

The logarithm log x 5 2x is defined for x 3 Select one True False

If f x 1 then find the value of the function at x 0 Select one a undefined Ob 0 O c 10 d 1

Simplify 3lne Select one O a 3 b In 3 c 3x Od 1

Find the value of log681 Round value to the nearest hundredth place

When applying the change of base theorem to find log 75 there are several methods for determining the value Choose all that apply Select one or more a log75 log5 b log15 C d log5 log75 In75

Use Cramer s rule to compute the solutions of the systems x1 x2 3 3x1 2x3 0 x2 2x3 2

True O False Question 8 The eight elements of reasoning are not just fundamental they are universal True 1 5 pt

Find the value of x Round the length to the nearest tenth 22 16 m Not drawn to scale O 14 8 m 6m 6 5 m 42 7 m X

A pyramid with three regularly side S ABC know m BSC 60 degree Through BC make a perpendicular line H with AS Height of the pyramid is 2root2 Find the slice of H with the pyramid

As shown in the diagram below the radius of a cone is 2 5 cm and its slant height is 6 5 cm 6 5 2 5 How many cubic centimeters are in the volume of the cone 1 12 5m 3 30 0m 2 13 5 4 37 5m No Work No Credit Please show

Triangle ABC with vertices at A 0 0 B 3 5 and C 0 5 is graphed on the set of axes shown below 0 1 23 m Which figure is formed when ABC is rotated continuously about AC P FG 3

13 A company makes a table for 15 and sells it for 19 What is the percentage of markup

Find the value of x Round the length to the nearest tenth 10 yd 23 6 yd 5 1 yd 4 6 yd 11 yd Not drawn to scale 25 X

Green Township to the main road Expressway East so that drivers can travel between Green Township and Metro City in the shortest possible time The direct north south distance from Green Township to Expressway East is 35 miles and the total east west distance between Metro City and the point directly south of Green Township on Expressway East is 70 miles See diagram which is for illustrative purposes only and not to scale 35 70 Al The speed limit on the new road will be 35 mph and the speed limit on Expressway East is 60 mph a How far to the west of Metro City should the new road from Green Township connect to Expressway East to enable drivers to make the trip in the least amount of time If necessary round result to 1 decimal place miles b What is the total time that the trip from Township to Metro City will take If necessary round result to 1 decimal place

Write the ratios for sin A and cos A A 10 sin A Not drawn to scale sin A sin A 26 sin A 24 10 26 24 10 24 26 24 B cos A cos A cos A cos A 24 26 10 26 10 24 10 26

A slide 4 1 meters long makes an angle of 350 with the ground To the nearest tenth of a meter how far above the ground is the top of the slide X 07 1 m 2 4 m 3 4 m O 5 0 m 4 1 m 35