# Questions

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Algebra

Complex numbersGiven 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 IntegralsA 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

Math - Others

Basic Math7 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 Math9 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 CalculusFind 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

Differentiation27 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 & ContinuityGraph 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 systemFind an equation of the circle that has center 3 6 and passes through 6 4 0 X 8 0 0

Algebra

Quadratic equationsFind an equation of the circle whose diameter has endpoints 3 4 and 3 4 8 0 0

Calculus

Vector CalculusFind 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

Limits & Continuity14 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 derivativesDivide 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 Calculus12 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 Geometryrating 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 & Continuity18 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 Integrals20 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 & ContinuityFind 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 derivativesState 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 derivativesWhich 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

EvolutionWhich 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 & SeriesFill 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 GeometrySimplify 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 & DeterminantsFind the midpoint M of the line segment joining the points A 4 1 and B 8 5 B M 0 pla

Biology

Ecology - GeneralWhich 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 DiseasesD Antibacterial soaps used in the lab contain some form of O Alkylating agents O Phenolics O Peroxygens Question 7 0

Biology

Human Health and DiseasesWhat 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 - GeneralWhich 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

Permutations and Combinations4 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

Quadratic equationsFind 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

Quadratic equationsGiven 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 CombinationsFind 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 numbersRaise 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 numbersFind 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 GeometryThe 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

StatisticsTo 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 MathIf 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 numbersThe 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 & DistancesA 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 & DeterminantsKyle 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

Statisticspost 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 numbersDo 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 derivativesDo 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

Calculus

DifferentiationConsider the curve given by the parametric equations a Determine the point on the curve where the tangent is horizontal t x t t 147 y 2 t 147 b Determine the points t t2 where the tangent is vertical and t t t

Calculus

Application of derivativesDo 3 Determine the number of grams in the following A 15 85 moles of Helium 63 45gte 142atte 1 th

Algebra

Complex numbers2x 20 3x 15 20 15 3x 2x 5ax x 5 2x 15 3x 20 5x 20 15 5 5 x 1 Equation Checklist Note You will not have all of these steps in every problem Distribute the outside factor to all terms within parentheses Check the left side of the equation combine like terms Cancel out the constant term Check the right side of the equation combine like terms If there are variable terms on both sides of the equation cancel out the one with the lower coefficient