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College Algebra
Complex numbersA ladybug crawls around the outside of a rectangle that measures 16 cm by 18 cm The ladybug stays exactly 1 cm from the rectangle at all times to form a larger figure How far does the ladybug crawl in one trip around the figure What is the area of the new rectangle bound by the path of the bug cm in cm
College Algebra
Complex numbersUsing the U S unit conversions that you memorized fill in the following Integers or reduced fractions no decimal approximations or mixed numbers If a conversion is not possible enter DNE a 42 miles b 9 yards c 144 inches d 48 feet e 80 miles inches inches yards yards feet
College Algebra
Quadratic equationsAngles can be classified by their degree measure Fill in the blanks with the appropriate degree measure for each of the following Use integer values for your responses a The measure of an obtuse angle is between degrees Non inclusive smallest to largest degrees b The measure of a right angle is c The measure of an acute angle is between degrees Non inclusive smallest to largest degrees and degrees and
College Algebra
Quadratic equationsFind the circumference and area of the given figure in terms of using the correct unit of measure Circumference Give your answer in terms of Area Give your answer in terms of 8 cm Select an at Select an answer Select an answer cm cm m cm a m m
College Algebra
Quadratic equationscalculator to give the real number value of y cot 0 096 Round to the nearest hundredth
College Algebra
Sequences & SeriesFind the exact value of the following real number y Do not use a calculator y csc 2 Type an exact answer using as needed Use integers or fractions for any numbers in the expression
College Algebra
Complex numbersFind the exact value in radians of the expression cot 3 cot 3 Type an exact answer using as needed Use integers or fractions for a numbers in the expression
College Algebra
Quadratic equationsFind the exact value of the expression arccos 1 arccos 1 Type an exact answer using as needed
College Math - Others
Functionsif x 4 cx Let f x 10 dx if x 4 Find c d so that f x is continuous for all x d C
College Calculus
Limits & ContinuityLet f x lim h 0 To find f x which of the following limits must be evaluated lim h 0 1 lim h 0 x f h f 0 h 1 x f x h f x h derivative cannot be found using a limit
Biology
Principles of Inheritance & Variation (Genetics)Exercise 3 Questions Question 1 How are karyotypes used to screen for genetic disease E E T T B I U I 0 10000
College Calculus
DifferentiationLet f x x To find f x which of the following limits must be evaluated o lim h 0 OT lim h 0 CLO f h f 0 h f x h f x h lim 2x h 0 The derivative cannot be found using a limit f x h f x 1 2 2hx h OF Expand a
College Calculus
Differential equationsSuppose f x and f x have the values shown X f x 2 f x 8 Let g x 20 21 g 21 22 23 3 5 20 4 2 4 1 f x 24 10 0 Cannot Be Determined
College Calculus
DifferentiationYou have collected the following d dx n 2 1 1 2 83 2 AC AC X2 Predict Predict 1 Predict d dx 2x 1x7 1 xn 2 X 2 x d dx d x
High School Math - Others
Logarithms48 Consider this function defined for every x 1 where In indicates the natural logarithm Which of these is an expression for its inverse function y f x 2in x 2in x 1 ev 2 A B 1 8 2 ez C 1 D 2 1 1 y 0 Y 0 y 1
Anatomy and Physiology
General Anatomy6 Araucaria is a conifer the specimen is young eventually it will be tree sized Araucaria appeared in the Early Mesozoic looking essentially the same as it does today Metasequoia is a conifer from the Tertiary Conifers were the among the dominant plants in the Mesozoic but have since decreased in abundance in many regions of the world Are Conifers more closely related to Progymnosperms or Cycads
High School Calculus
Application of derivativesWrite Name Date Period Show all work including labeled triangles in the unit circle showing direction 1 Graph y tan x 3TT 2 T TT 2 y 3 2 0 1 2 3 TT 2 TT 3TT 2 X
High School Algebra
Matrices & DeterminantsWhat are the domain and range of the function f x 327 Domain 0 0 U 0 O Range 0 U 0 Domain 0 U 0 O Range 0 0 Domain O Range 0 0 Domain 0 U 0 O Range 0 0
College Statistics
Statisticsa Of the 100 senators in the U S Senate 65 favor a new bill on health care reform The opposing senators start a filibuster Is the bill likely to pass Yes it is likely the bill will pass because those in favor have the needed 3 5 majority to end the filibuster b A criminal conviction in a particular state requires a vote by 3 5 of the jury members On an 9 member jury 6 jurors vote to convict Will the defendant be convic convicted because those voting to convict the required 3 5 of the jury the defendant will No
High School Math - Others
Binomial theoremThe graph of y tan br has vertical asymptotes at x 6 x 5 6 x 2 x 5T Find the value of b
High School Calculus
Vector Calculus10 Use the unit circle to explain why the graph of y tan is increasing for 0 0 2
High School Calculus
Limits & ContinuityA tangent function of the form y tan be has no vertical asymptotes for 2 x 2 Find a possible value of b
High School Algebra
Quadratic equationsWhat are the equations of the asymptotes of the graph of f x 1 11 Select each correct answer Ox 1 OX 1 Oy 11 Oy 11
High School Calculus
DifferentiationT and a 9 Geraldine and Miranda were asked to write an equation of a cotangent function with an x intercept at x vertical asymptote at x Geraldine said there was more than one correct answer Miranda said there was only one correct answer Who is correct Explain your answer 4
High School Calculus
Application of derivatives4 Let f 0 tan and g 0 cot 0 Which of the following statements is true A If f 0 0 g 0 0 B If f 0 0 g 0 0 C f 0 g 0 when 0 F D f 0 g 0 0 for all 0
High School Calculus
Application of derivatives7 Graph y cot x 3TT 2 TT y 34 N TT 2 0 2 TT 2 TT 3TT 2 X
College Math - Others
Linear ProgrammingSolve the linear programming problem z 5x 5y 7x 6y 133 18x 7y 185 Maximize subject to x y 45 x 0 y20
High School Calculus
Application of derivativesWrite the equation of a tangent function with a period of 3r and a vertical shift up 4 units
High School Algebra
Complex numbersWhich graph represents the function f x 2 12 4 3 2 5 4 3 2 1 O 2 3 31 3 2 10 2 3 2 3 4 5 5 4 3 21 12345 O 15 2 5 4 3 2 1 2 3 34 4 3 2 1 2 3 4 5 2 X 5 4 3 2 1 1 2 3 4 5
High School Algebra
Quadratic equationsWhich graph represents the function f x 3 O y 3 O 8 7 6 1 31 11 b T 29 654 3 x 1 4 w N f x A 24 f x 3 4 5 7 6 5 4 3 5 4 3 2 x 1 y 3 f x 2 4 5 16 f x 345
College Calculus
Limits & ContinuityThe graph of y f x solid and its tangent line at 5 3 dashed is shown 10 9 8 87 6 5 4 32 1 10 9 8 7 6 5 4 3 2 1 7 2345 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10
High School Algebra
Quadratic equations1 3 Graph each equation 1 y x 5 2 3 y x 4 1 5 5 y x x 3 2 77 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 y 3x 2 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8
High School Math - Others
Linear Algebra3 4 cm ekil 3 ekil 1 ekil 2 Kenar uzunlu u 5a cm olan kare eklindeki bir ka t nce ekil 1 deki gibi yatay do rultuda daha sonra ekil 2 del gibi dikey do rultuda olacak ekilde ortadan ikiye katlanm t r Son olarak bu ka ttan ekil 3 teki gibi bir kenar uzunlu u 4 cm olan kare eklindeki bir par a kesilerek kar lm ve geriye kalan k s m katlama yerlerinden tekrar a lm t r Buna g re son durumda bu ka d n santimetrekare cinsinden bir y z n n alan na kar l k gelen cebirsel ifade a a dakilerden hangisi ile zde tir A 25a 16 B 25a 64 C 25a 16 D 25a 64
Biology
The Living World7 Cycas a cycad is another seed plant that was very common in the Mesozoic Describe very briefly the foliage of both Cycas and Araucaria X Although there were softer plants living at the time e g ferns the abundance of the above two plants and their close relatives dictates that herbivorous dinosaurs must have been eating them ouch
High School Algebra
Quadratic equationsGraph each equation 1 1 y x 5 2 3 3 y x 4 1 5 5 y x x 3 2 7 7 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 9 4 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8
Biology
The Living World3 Equisetum Calamites and Annularia are members of the Sphenopsids They have a unique anatomy stellar organization meaning they are composed of bundles of tissue arranged in a circle see figure below They also display jointing in the stems very obvious in Equisetum Sketch Calamites a Carboniferous sphenopsid some of which reached over 10 meters in height and identify on your sketch the bundles of tissue and if you can find it a characteristic joint where the tissue bundles pinch out and then expand
Biology
The Living Worldand their close relatives dictates that herbivorous dinosaurs must have been eating 8 Angiosperms are more commonly known as the flowering plants and include most of the plants that you are probably familiar with minus the conifers and the ferns Examples include any plant trees included with a flower plus grasses and many shrubs From your notes describe why double fertilization with respect to seed development is a major advantage over the way that conifers produce seeds
Biology
The Living World5 Archaeopteris This Late Paleozoic specimen foliage only and its near relatives collectively called the Progymnosperms represent close relatives of the seed plants although they themselves unfortunately lacked the seed habit What are two great advantages that seed plants have compared to Progymnosperms and other plants that lack seeds 1
Biology
The Living WorldFerns were also extremely diverse and abundant during the late Paleozoic and into the Mesozoic Some of them evolved a tree form which reached heights of 10 meters Briefly describe the reproductive strategy of ferns as well as the other land plants you have examined so far questions 1 3 You may express your explanation in the form of a diagram if that s easier
High School Algebra
Matrices & DeterminantsIf 360 is invested at an interest rate of 4 per year and is compounded quarterly how much will the investment be worth in 18 years Use the compound interest formula A P 1 175 86 422 39 t
Biology
The Living World2 Sigillaria Members of Lycopoda were the dominant land plants during the Carboniferous In fact most of the coal on earth was formed from the remains of Carboniferous forests which were filled with Lycopods A few surviving members exist but are very small Look at the Sigillaria fossil This fossil is a piece of bark from an arboraceous tree like Lycopod Sketch in detail a portion of it The strange H shaped marks you see are called leaf scars and show where the leaves attached directly to the stalk
High School Algebra
Quadratic equationsA jet ski depreciates 11 each year If the jet ski was 8 000 at its time of purchase what is the value of the jet ski after 5 years 13 480 47
High School Algebra
Complex numbers03 07 MG If a new boat was purchased for 45 000 and the value of the boat decays continuously at a rate of 8 per year what is the value of the boat after 7 years Use the formula A t cet 25 704 41
High School Algebra
Complex numbersA bacteria culture begins with 4 bacteria which double in size every hour How many bacteria exist in the culture after 8 hours 128 256 1 024