# Questions

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Complex numbers
Given that z 5 cos 60 i sin 60 then the following is true 125 cos 180 isin 180 125 1 i 0 11 125 Oi or simply 125 Calculus
Definite Integrals
A mining company owns two mines These mines produce an ore that can be graded into two classes regular grade and low grade The company must produce at least 420 tons of regular grade and 540 tons of low grade ore per week The first mine produces 6 tons of regular grade and 18 tons of low grade ore per hour The second mine produces 18 tons of regular grade and 9 tons of low grade ore per hour The operating cost of the first mine is 20 000 per hour and the operating cost of the second mine is 9500 per hour The first mine can be operated no more than 37 hours a week and the second mine can be operated no more than 28 hours a week How many hours per week should each mine be operated to minimize the cost Note that the ALEKS graphing calculator can be used to make computations easier hour s Second mine hour s First mine Algebra
1 point The domain of the function g x log x 64 is and 1 o Math - Others
Basic Math
7 Which statements BEST describe the key features of the Law of April 6 1830 Select TWO correct answers It outlawed immigration from the United States It encouraged an influx of new American empresarios It slowed the economic development of ranching in Texas It imposed taxes on trade between foreign nations and Texas It relocated the settlers in Nacogdoches to new land near San 1 O D Math - Others
Basic Math
9 Why is the Battle of Goliad referred to as the other Alamo O Both were brutal losses for the Texian Army Both were valiant victories for the Texian Army Both were brutal losses for the Mexican Army Both took place in the same area Calculus
Vector Calculus
Find the missing side lengths Leave your answers as radicals in simplest form 25 26 30 7 3 A x 7 3 y 14 B x 14 y 7 C x 7 2 y 7 D x 7 2 y 7 3 A 60 5 3 y A x 10 y 5 B x 10 3 y 5 5 3 C x 10 3 y 3 5 3 D x 10 y 3 Calculus
Differentiation
27 3 J 2 30 A m 3 n B m 2 5 n 3 C m n 2 3 D m 3 n 2 28 4 5 3 45 y 5 3 3 S 6 A x B x C 5 6 D x S 6 6 5 3 y 39 6 5 6 3 y y 5 y 5 Calculus
Limits & Continuity
Graph each function Lable all asymptotes lable any x y intercepts 4 x 2 22 f x A D 21 f x A B C 2 2 H B C D 3 x 2 The 4 M Geometry
Coordinate system
Find an equation of the circle that has center 3 6 and passes through 6 4 0 X 8 0 0 Algebra
Find an equation of the circle whose diameter has endpoints 3 4 and 3 4 8 0 0 Calculus
Vector Calculus
Find the value of each trigonometric ratio 29 tan X 20 30 50 40 355554 Z 30 tan C B 12 U 35 20 37 Calculus
Application of derivatives
D C 23 S x 1 A B AH 24 S x 2 1 A B 6 D 2 Calculus
Limits & Continuity
14 f x x 5 A S x x 3 B x x 5 C x 4x 4 D S x 1 x 15 g x 3 x A g x 5 Sx 25 2 3 B g x x 2 8 9 C g x x 4 2 D g x 2x 6 8 Calculus
Application of derivatives
Divide Write your answer in fraction form 16 x 6x 10x 10x 16 x 1 11 A x 5x 5x 5 x 1 B r 5x2 5x 5 6 C r 5x2 5x 5 D x 3x 4x 6 x 1 6 x 1 6 x 1 17 4x 25x 28x 6 x 5 A 4x 5x 3 B 4x 5x 3 C 4x 5x 3 D 4x 5x 3 9 x 5 2 x 5 2 x 5 9 x 5 Calculus
Vector Calculus
12 g x 2 x 25 A 8 x 5 B g x 2x 3 25 2 C g x D g x 6 4x 3 2 13 g x 4 3x 2 A g x 12 x 4 B g x 2x 4 3 C g x 25 2x 5 D g x 2 2 Geometry
3D Geometry
rating the inner quadrilateral He likes his new garden diagram better The ratio of each outer side to the corresponding inner side is 5 to 2 and the labels represent the lengths of the sides measured in inches Please note that images are not drawn to scale 4 What is the most descriptive name for the figure ABCD Explain your answer in at least one sentence The most descriptive name for the figure mangien e s cause it has y sides will be a Quadratteral 5 Find x 6 What is AB What is CD 5x 8 What is true of the diagonals of ABEF F 3x 3 D 5x 2x 5x E 7 What is the most descriptive name for ABEF Explain your answer in at least one sentence The most descriptive name for ABEF will be ause it has 4 equal sides and angles Square 9 What is the angle measure of each pair of base angles of ABCD How are these two angles related Calculus
Limits & Continuity
18 x 2x 24 x 5 A x 3 9 x 5 4 B x 3 C x 3 D x 3 x 5 4 x 5 6 x 5 19 5x 30x 12 x 6 5 A 5x x 6 12 x 6 C 5x 9 x 6 9 x 6 B 5x D 5x Calculus
Definite Integrals
20 3x 13x13x 16x 5 x 5 1 A 3 2x 3x 1 B 3x 2r 3x 1 x 5 C 3x 2x 3x 1 10 x 5 4 x 5 D 3x 2x 3x 1 10 x 5 Calculus
Limits & Continuity
Find the inverse of each function 10 S x A x Sx B 4 C x 5 6x 5 D x 2x 6 f x 16 x 11 g x 2r 8 A g x 5 2 B g x 2 x C g x x 3 2 D g x 4 x Calculus
Application of derivatives
State if the given functions are inverses 10 x 2 5 g x s x x 2 A No B Yes 6 S x x 2 8 x A No 2 3 B Yes Calculus
Application of derivatives
Which of the following sets are subspaces of R OA 7x 4y 5x 9y 6x 9y x y arbitrary numbers OB x x 2 x 8 x arbitrary number c x y z 2x 8y 3z 0 D x y z x y z OE x y z x y z 7 A Biology
Evolution
Which of the following is true about pasteurization Mark all that apply It renders food sterile It kills pathogens It reduces the number of spoilage causing microbes HTST pasteurization uses 72 degrees Celsius for 60 minutes Question 6 T 0 5 pts Algebra
Sequences & Series
Fill in the blank with an appropriate word phrase or symbol s The set of rational numbers is the set of numbers of the form The set of rational numbers is the set of numbers of the form P10 P10 where p and q are where p and q are and q 0 and q 0 whole numbers integers positive integers negative integers Geometry
2D Geometry
Simplify 1 cos 48cos 50 sin 40sin 50 A cos 8 B sin 0 C cos 90 D cos 30 2 sin 3ucos 3u cos 3usin 3u B cos 6u D sin 7u A sin 3u C sin 6u Algebra
Matrices & Determinants
Find the midpoint M of the line segment joining the points A 4 1 and B 8 5 B M 0 pla Biology
Ecology - General
Which antibiotic would the doctor NOT prescribe to a patient with an infection caused by the bacteria growing on this plate View Image Ciprofloxacin Rifampicin Biology
Human Health and Diseases
D Antibacterial soaps used in the lab contain some form of O Alkylating agents O Phenolics O Peroxygens Question 7 0 Biology
Human Health and Diseases
What is the BSL for our Micro class answer A Select and what would it be for agents that cause hemorrhagic fever several bleeding organ failure and death answer B Select Select Biosafety Level 1 Biology
Ecology - General
Which process eliminates all vegetative cells endospores spores and viruses from culture liquid media in glass bottles O Disinfection O Antisepsis O Sterilization Sanitization Sanitization O Disinfection O Sterilization O Antisepsis Algebra
Complex numbers
Write the expression as a single logarithm 3 log3x 3 log3z 3 log3y log 7 3 Algebra
Permutations and Combinations
4 4i 3 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Type your answer in the form a bi 2 Algebra
Find the following power Write the answer in rectangular form 7 cos 30 i sin 30 1 CO 7 cos 30 i sin 30 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Type your answer in the form a bi Algebra
Given that z 2 cos 60 i sin 60 then the following is true z cos isin 00 0 i or simply 11 Questic Algebra
Permutations and Combinations
Find the given power and write the answer in rectangular notation cos 90 isin 90 6 cos 90 isin 90 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Type your answer in the form a bl Algebra
Complex numbers
Raise the number to the given power and write the answer in rectangular form 2 cis 55 6 GCEE 2 cis 55 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Type your answer in the form a bi Algebra
Complex numbers
Find the power Write the answer in rectangular form 2 2 3 4 6 8 4 13 HW Score 0 0 of 9 poi O Points 0 of 1 2 2 3 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Type your answer in the form a bi Geometry
2D Geometry
The windshield wiper blade on Han s car is 25 inches long Each swipe of the wiper makes an angle of 125 degrees as pictured below To the nearest inch how far does the tip of the windshield wiper travel with each swipe of the blade 125 25 Statistics
Statistics
To evaluate the effectiveness review sessions a professor gave a pre test before the review and a post test after The results are shown in the table below 50 REE 19 Pre test 1 Post test 22 7 0 49 60 79 37 67 57 60 61 65 92 16 35 13 Difference d x 1 22 57 22 33 25 63 4 24 47 10 X0 23 37 78 17 43 22 0 38 20 1 The null and alternative hypotheses would be Ho Pa H Ha o o OF o o 58 Can we say that the review session significantly harms test performance at 10 significance level 8 8 5 8 o Math - Others
Basic Math
Find the measure of the bigger arc 5x 10 3x 4 30 Math - Others
Basic Math
If the measure of arc QP is 76 degrees and angle 3 is 92 degrees what is the measure of arc SR P 1 3 R S Algebra
Complex numbers
The one to one function fis defined below f x 5x 10 Find f the inverse of f Then give the domain of fusing interval notation Domain of 8 6 0 0 0 0 QUO 0 0 0 0 8 Geometry
Heights & Distances
A passenger in an airplane at an altitude of a 30 kilometers sees two towns directly to the east of the plane The angles of depression to the towns are 28 and 55 see figure How far apart are the towns How far apart are the ships Round your answer to one decimal place a km 55 28 88 Not drawn to sale Algebra
Matrices & Determinants
Kyle works at a donut factory where a 10 oz cup of coffee costs 95 a 14 oz cup costs 1 15 and a 20 oz cup costs 1 50 During one busy period Kyle served 17 cups of coffee using 244 ounces of coffee while collecting a total of 20 10 How many cups of each size did Kyle fill Kyle filled 10 oz cup s 14 oz cup s and 20 oz cup s Statistics
Statistics
post test after The results are shown in the table below Pre test 1 Post test 48 58 46 55 65 55 60 60 46 59 42 63 42 69 Difference d 22 21 68 11 60 16 62 3 17 76 21 13 9 8 14 Can we say that the review session makes a significant difference on test performance at 5 significance level 1 The null and alternative hypotheses would be Ho Ha Select an answer H Ha Select an answer 2 The tail type of the test is Select an answer 3 The sample statistic d is Algebra
Complex numbers
Do 5 In the movie Diehard the prop gold bars are 10 0 inches by 2 50 inches by 1 50 inches one inch 2 54 cm exactly If these were a real gold bar what would their mass be the density of gold Au is 19 3 g cm 12k9 Calculus
Application of derivatives
Do 4 The natatorium pool is 25 0 meters by 25 0 yards Assuming the pool is uniformly 396 cm deep what is the volume of the pool in liters 2 26x10 liters 2 0 LICE Algebra   