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High School Geometry
2D Geometry5 Please give exact answers 5 If rectangle ABCD has an area of 64 3 m find its dimensions AC is a diagonal and the measure LBAC is 30 short side length Jonger side lenath
High School Geometry
2D GeometryFind the area of the regular polygon 8 9 a hexagon with an apothem of 9 centimeters a nonagon 9 gon with a radius of 1 meter
High School Geometry
Area4 Note Please give all approximate answers rounded to nearest thousandths Keep answers exact in calculator until very end of calculations Round Area answer at the end of your calculations 4 A cup saucer is shaped like a regular decagon with a diameter of 5 5 inches as shown Round to the nearest thousandth a What is the length of the apothem of the saucer b What is the perimeter of the saucer c What is the area of the saucer 5 5 in
Anatomy and Physiology
Kidney and Urinary TractFigure 26 13 Female reproductive system models a midsagittal view b anterior view c posterior view 2 3 4 5 Urinary bladder Pubic symphysis Urethra 6 7 8 a 3 9 C3B Scientific 10 11 12 13 Anal canal
Anatomy and Physiology
General Anatomy5 Using FIGURES 26 9 through 26 11 for reference as needed complete the labeling activity in FIGURE 26 13 14 15 16 17 20 22 21 22 23 33 18 19 Altay Scientific
Anatomy and Physiology
Kidney and Urinary Tract5 Using FIGURES 26 3 through 26 6 for reference as needed complete the labeling activity in FIGURE 26 7 14 15 16 17 18 26 20 19 61 20 20 28 27 21 22 29 30 23 24 25 CAltay Scientific Group 31
Anatomy and Physiology
General Anatomyto view the photomicrographs of the testis 7 Study the photomicrograph in FIGURE 26 4 8 Using a compound light microscope view the testis slide 9 Draw and label the structures in the space provided Be sure to indicate the magnification
High School Calculus
DifferentiationThe derivative of a function fis defined by f x g x for 4 x 0 15e x 3 3 for 0 x 4 The graph of the continuous function f shown in the figure below has x intercepts at 3 In 3 The graph of g on 4 x 0 is a semicircle and f 0 5 x 2 and x 0 Graph of f For 4 x 4 find all values of x at which the graph of fhas a point of inflection Justify your answer a b c Find f 4 and f 4 For 4x4 find the value at which fhas an absolute maximum Justify your answer
High School Calculus
Vector Calculus4 Oil is leaking from a pipeline on the surface of a lake and forms an oil slick whose volume increases at a constant rate of 2000 cubic centimeters per minute The oil slick takes the form of a right circular cylinder with both its radius and height changing with time Note the volume V of a right circular cylinder with radius r and height his given by V r h b A recovery device arrives on the scene and begins removing oil The rate at which oil is removed is R t 400 t cubic centimeters per minute where t is the time in minutes since the device began working Oil continues to leak at the rate of 2000 cubic centimeters per minute Find the time when the oil slick reaches its volume Just
College Calculus
Differentiation3 4 pts Find the directions in which the function increases and decreases most rapidly AND the derivatives of the function in those directions g x y a xe z P 1 42
High School Geometry
2D GeometryFind the area of the composite figure 1 111 6 yd 8 yd 12 yd 2 13 mm T 15 mm 17 mm 8 mm 3 9 cm 2 8 cm 5 2 cm 4 8 cm
College Calculus
Application of derivatives1 3 pts Find all second order partial derivatives 2 Xe x 5
High School Calculus
Differentiation1 Do not use a calculator for this one 5 2 Graph of f 4 4 slope 2 The function fis defined on the closed interval 5 4 The graph of consists of three line segments and is shown in the figure above Let g be the function defined by g x a b f t dt Find g 3 On what open intervals contained in 5 x 4 is the graph of g both increasing and concave down g x The function is defined by h x 9 Find h 3
High School Calculus
Application of derivatives2 A particle moves along the y axis so that its velocity at time t 0 is given by v t 1 tan et At time t 0 the particle is at y 1 Note tan 1 y arctanx a Find the acceleration of the nesti 1
College Calculus
Definite Integralsg f r dr where f x da where f x is given by f x 3 2 12 if x 0 if x 0
High School Algebra
Sequences & SeriesYou have arrived at Steinert its to see the music concert held every spring and unfortunatay Only seats were available in the last row There are 23 rows The stage which seats all per fofing s Is Positioned such that it is in line with the 5th row of seats in each section The stage is 20 feet from the first row seats The dexth of the seats are 17 inches and the height is 32 inches what is the approximate and OF depression from the last row to the stage as you listen to music
College Math - Others
Basic MathTwenty sections of bilingual math courses taught in both English and Spanish are to be offered in introductory algebra intermediate algebra and liberal arts math The preregistration figures for the number of students planning to enroll in these bilingual sections are given in the following table Use Webster s method with d 29 6 to determine how many bilingual sections of each course should be offered Course Enrollment Introductory Algebra 120 Intermediate Algebra 282 Liberal Arts Math 186 Course Number of Apportioned Sections Introductory Algebra
College Math - Others
Basic MathA large hotel chain needs to apportion 28 new staff members among three hotels based on the numbers of rooms in each hotel as shown below Use the table to answer parts a and b Hotel A B C Total Number of rooms 308 218 286 812 a What is the standard divisor 29 Type an integer or a decimal rounded to the nearest hundredth as needed b Find each hotel s standard quota The standard quota for hotel A is 10 62 Type an integer or a decimal rounded to the nearest hundredth as needed The standard quota for hotel B is
College Math - Others
Basic MathA resort management company plans to apportion 58 new beach umbrellas among four resorts based on the number of rooms in each resort as shown in the table Determine each resort s apportionment using Jefferson s method Hint Some divisors between 10 and 11 will work Resort A B C D Total Number of Rooms 93 105 137 265 600 Resort A Number of Umbrellas 9 Type an integer Resort B Number of Umbrellas
College Algebra
Quadratic equations3 x y z 3 x 3y 4z 12 x 3y 5z 3 A 3 0 5 C 1 0 0 B 5 3 4 D 1 3 1 4 4 5x 4y 2z 14 5x y 2z 5 2x y 2z 5 A 1 3 5 B 5 3 1 C 3 1 5 D 0 3 1
High School Math - Others
Linear AlgebraMr Young built a greenhouse 42 feet wide 110 feet long 5 feet to the eaves and 14 feet to the ridge cap How many square feet of plastic does it take to enclose the greenhouse
High School Algebra
Sequences & SeriesWhat is the sum of the series 6 5k 20 k 3 Enter your answer in the box
High School Algebra
Quadratic equationsWhich answer represents the series in sigma notation 1 1 1024 4096 0 0 1 0
High School Algebra
Complex numbersFind the indicated side length Round your answer to the nearest tenth 1 Find HK H 103 9 in 51 K HK P
High School Algebra
Quadratic equationsFind the indicated side length Round your answer to the nearest tenth 1 Find BC A 9 in 107 B BC 7 in C
High School Algebra
Complex numbersWhat equation is solved by the graphed systems of equations LT 2 3 1 4 4 7x 3 x 3 7x 3 x 3 7x 3 x 3 7x 3 x 3
High School Algebra
Quadratic equationsAt the end of April Mandy told Bill that she has read 16 books this year and reads 2 books each month Bill wants to catch up to Mandy He tracks his book reading with a table on his door Using his table below what month will Bill have read the same amount of books as Mandy Month Books May 4 June 8 July 12 September October August December
High School Algebra
Complex numbersSolve the system y 3x 2 and 3y 9x 6 by using graph paper or graphing technology What is the solution to the system No solutions Infinite solutions 3 2
College Math - Others
Trigonometric equations8 Nancy is in her apartment on the sixth floor of a building She spots two cars that are parked 10 ft apart If she measures the angle of depression to the closest car to be 50 and then the further car to be is 38 How far is the first car parked from the base of her apartment building to the nearest foot
College Math - Others
Basic Math7 Ana and Baker are on opposite sides of a tall tree Anna is closer and measures the angle of elevation to the top of the tree to be 74 and Baker measures an angle of elevation of 43 If Ana and Baker are 50 meters apart how tall is the tree to the nearest meter
College Algebra
Quadratic equationsIn general there are two basic costs for cell phone plans the cost of the phone and the monthly cost for talk text and data usage Alexi buys a phone for 620 and then signs up for a phone plan that costs 45 per month with all taxes included Part A Let C represent the total cost that Alexi will pay if he uses this phone for m months How much has Alexi paid after 1 month How much has he paid after 8 months How much has he paid after 11 months Write each answer as an ordered pair of the form m C Hint 1 month 8 months 11 months Part B Identify the slope and vertical intercept for this situation Do not include units in your answers Hint Slope Vertical Intercept per month Part C Use the slope and vertical intercept to write a linear function that gives the total cost Alexi pays in terms of the number of months Hint Answer Part D Interpret the slope as a rate of change by filling in information into this for each additional month that he is using his phone Alexi pays an
College Calculus
Limits & ContinuityWhat happens if you try to use l Hospital s Rule to find the limit X lim Repeated applications of l Hopital s Rule result in the original limit or the limit of the reciprocal of the function You cannot apply l Hopital s Rule because the function is not continuous You cannot apply l Hopital s Rule because the denominator equals zero for some value x a You cannot apply l Hopital s Rule because the numerator equals zero for some value x a You cannot apply l Hopital s Rule because the function is not differentiable Evaluate the limit using another method
High School Math - Others
Basic Math18 What happened to Wade the day after he completed the first task that changed his life for the better
Biology
Ecology - Ecosystemseach of the statements as DD for density dependent or DI as density independent 2pts each ch of the statements below involves a situation that will affect the growth of a population Classify C d e f g a b Rainbow smelt and yellow perch attempt to occupy the same area The more aggressive smelt survive the perch do not A severe flood brings a lot of sediment and dirt into the lake The turbidity of the lake increases greatly A drought decreases the water level in the lake The carrying capacity of the lake decreases Due to the introduction of rainbow smelt an invasive species the lake becomes too crowded and some species of fish do not survive Many fish die due to an increase in water temperature Parasites present in the lake are killing off fish in great numbers Since yellow perch migrate long distances to spawn many do not survive the trip
College Math - Others
Functionsa Investigate the existence of equilibrium point s for the following nonlinear difference equation xn 1 rxn 1 xn and state the condition under which an equilibrium is stable if it exists b Consider the following nonlinear difference equation for population growth kxn b k 0 xn 1 b xn i ii iii Does the population reach a steady state If your answer in i is yes is the steady state stable Discuss when a conclusion from your investigation is biologically meaningless c Discuss the equilibrium and stability of the balls in the following diagram
High School Geometry
2D Geometryd Name the postulate if possible that makes the triangles congruent A N B SAS AAS ASA Not Possible M C
High School Geometry
Coordinate systemA A camper wants to protect her bag of food from bears She decides to tightly stretch a rope between two trees and hang her bag from a point exactly halfway along the length of the rope The first tree is 10 feet east and 6 feet north of her firepit The second tree is 5 feet west and 8 feet north of her firepit The rope is attached at a height of 8 feet to the first tree and a height of 9 feet to the second tree Let the firepit represent the origin movement east of the firepit represent movement in the direction of positive x movement west of the firepit represent movement in the direction of negative x movement north of the firepit represent movement in the direction of positive y and movement above the firepit represent movement in the direction of positive z 1 Write the coordinates of the points on the trees where the rope is attached 2 Find the distance between the points in part a Use sqrt to indicate a square root For example 3 would be written sqrt 3 3 Find the coordinates of the point where the food bag is hung 4 If the food bag is 1 2 feet long when hung and bears can reach a height of 7 5 feet when standing is the camper s food safe from bears Explain why or why not U pointol