Questions

3 3 5 m P 4 m A 5 8 m 4 P A 4 7 in 5 7 in 6 in

A couple wants to invest up to 20000 They can purchase a type A bond yielding 11 return and a type B bond yielding a 12 5 return on the amount invested They also want to invest at least as much in the type A bond as in the type B bond They will also invest at least 10000 in type A and no more than 15000 in type B bond How much should they invest in each type of bond to maximize their return Let a be the amount invested in type A bond and y the amount invested in type B bond a Write the objective function to be maximized P b The feasible region has 3 corner points List the three points Corner points c Determine the amount to be invested in each bond to maximize the return and determine the maximum return Amount to be invested in type A bonds Amount to be invested in type B bonds Maximum return is

Find the Expected Value from the table Outcome Value 400 800 Probability 417 317

Subtract the rational expressions X 10 x 2 x x 6 A x 5 x 3 B x 2x 10 x 2 x 3 C x 3x 10 x 2 x 3 D x 10 x 2

The public university he wants to attend to estimate the cost of attending TUITION FEES 8 000 a What should Darnell estimate the total cost of one year to be ROOM POARD 9 100 DOOKS SUPPLIES TRANSPORTATION ETC 950 650 b Darnell s family can contribute 60 of the total annual expenses before financial aid and Damn estimates that he will qualify for 6 000 in scholarships and grants for his first year How much does that leave for Darnell to cover for his first year of college c If Darnell has 18 months to save how much should he save each month

Find all degree solutions 29 2 sin 30 sin 30 1 0 31 2 cos 20 3 cos 20 1 0

Find all degree solutions for each of the following 13 sin 20 2 15 cos 30 0 3 14 sin 20 2 16 cos 30 1

Find all solutions if 0 x 2 Use exact values only 19 sin 2x cos x cos 2x sin x 2 20 sin 2x cos x cos 2x sin x 5 21 cos 2x cos x sin 2x sin x 2 3 2

Find all solutions in radians using exact values only 23 sin 3x cos 2x cos 3x sin 2x 1 24 sin 2x cos 3x cos 2x sin 3x 1 25 sin 4x 1 27 cos 5x 1 26 cos 4x 1 28 sin 5x 1

Find all solutions if 0 x 2 Use exact values only 7 sin 2x 2 8 cos 2x

All of the following increase genetic variation EXCEPT Multiple Choice O mutation random fertilization mitosis independent assortment crossing over

You are comparing the events of meiosis I in cells from several different organisms You come across one species in which you do hot is Multiple Choice the chromosome pairs will not assort independently chiasmata will form during meiosis I kinetochores of sister chromatids do not fuse there is no crossing over between non sister chromatids

The Rec8 protein holds sister chromatids together during meiosis If an individual has a mutation that prevents degradation of Rec8 this would most likely prevent Multiple Choice normal segregation during meiosis L normal segregation during meiosis L synapsis of homologous chromosomes crossing over during prophase L

At the end of meiosis II each of the four resulting cells contains Multiple Choice two full sets of chromosomes each with 2 molecules of DNA one full set of chromosomes each with 1 molecule of DNA one full set of chromosomes each with 2 molecules of DNA two full sets of chromosomes each with 1 molecule of DNA

Which statement about the reductive division of meiosis is false Multiple Choice During the reductive division sister chromatids migrate to opposite poles of the cell During the reductive division centromeres do not divide At the end of the reductive division each daughter nucleus has one half as many centromeres as the parental nucle During the reductive division homologues migrate to opposite poles of the cell

A geneticist examines a somatic cell from a fly during metaphase of mitosis and determines that 16 chromatids are present If a germ line cell from this the end of meiosis including the first cytokinesis each cell will contain Multiple Choice 4 chromosomes with 8 DNA molecules 8 chromosomes with 16 DNA molecules 8 chromosomes with 8 DNA molecules 4 chromosomes with 4 DNA molecules

The point of connection between two sister chromatids before anaphase II of meiosis separates them is called the Multiple Choice centromere spindle apparatus centrosome kinetochore

Multiple Choice Homologous chromosomes separate and are pulled to opposite poles of the cell Synapsis of homologous chromosomes Pairs of homologous chromosomes align along the equatorial plate Sister chromatids separate and are pulled to opposite poles of the cell Chromosomes decondense

The pairing of homologous chromosomes is called Multiple Choice independent assortment alignment synapsis syngamy crossing over

Multiple Choice one full haploid complement of chromosomes chromosomes identical to those of a sperm cell two copies of each chromosome one copy of each chromosome chromosomes identical to those of an egg cell

Compared to asexual reproduction the main advantage of sexual reproduction is that it Multiple Choice can produce more complex offspring requires less energy increases the genetic diversity of the offspring can produce a greater number of offspring

You are studying meiosis in an organism where 2n 28 How many chromosomes will be present in each cell after meiosis I is complete but before meiosis I begins Multiple Choice 56

Chromosomes exchange genetic information by Multiple Choice crossing over fertilization DNA replication mitosis

Diploid organisms use meiosis to produce haploid cells Meiosis consists of how many rounds of nuclear division Multiple Choice One Two Three Four None of these

Find the length of the arc formed by from 2 to x 8 6 11 y 1x2 8 In

Differentiate the function f t f t tan est etan 8t

1 i Z exp 1 i logz z 0 0 arg z 2 eie 0 0 27 I the indicated power function and C is the unit circle z Ans i 1 e 2

Use logarithmic differentiation or an alternative method to find the derivat 3x y

EXAMPLE 1 Differentiate y In x6 6 SOLUTION To use the Chain Rule we let u x 6 Then y In u so dy dy du dx du dx du dx 1 6 6

Use the t table to fill in the critical t values in the following table Degrees of Freedom 4 23 80 90

2 Based on data collected at a store where tomatoes are sold by the pound the association between the number of tomatoes purchased and the total cost in dollars appeared to be linear The output below shows the regression analysis Dependent variable is Cost R squared 92 4 Variable Coefficient Intercept 0 03 Tomatoes 0 47 a Predict the cost of 12 tomatoes b Interpret the value of R in this context c Interpret the meaning of the slope in this context d Is there any meaningful interpretation of the y intercent in this context

The rectangular coordinates of a point are given Find polar coordinates r e of this point with 0 expressed in radians Let r 0 and 2x 2x 6 6

1 sin 2 tan u

The points 13 1 and 5 8 lie on a line with slope 1 3 4 Find the missing coordinate

Using f x log x what is the x intercept of g x log x 4 Explain your reasoning

Find the length of the curve Arc length x y 3 1

h Given the equation y 6 set up an integral to find the length of path from za to z b and enter the integrand below i e if your integral is L dz enter as your answer rb L Sa 6 dr 49

Macmillan Learning During a routine check of the fluoride content of Gotham City s water supply the given results were obtained from replicate analyses of a single sample 0 709 mg L 0 691 mg L 0 713 mg L 0 687 mg L and 0 717 mg L Determine the mean and 90 confidence interval for the average fluoride concentration in this sample mean 90 confidence interval mg L mg L

4 Dana Bill and Rodrigo are given the following information about ATEA m T 71 TA 8 mZE 35 They are asked to determine the number of triangles that can be formed using these conditions and give a reason for their answer Dana says that two triangles are possible because ATEA is an acute triangle Bill says that only one triangle is possible because whenever the measures of two angles and a non included side are given AAS exactly one triangle is possible Rodrigo says that only one triangle is possible because the length of the fixed leg is less than the length of the swinging leg Which of these students is correct Explain

Solve triangle ABC If an answer does not exist enter DNE Round your answers to one decimal place Below enter your answers so that A is smaller than A2 b 126 c 164 2A1 2C1 a1 X zB 48 A C a2

Identify the domain of the function shown in the graph 10 8 B 4 10 864 2 4 8 8 248 90 10 6 8 10 A 1 1 B 1 x 1 C x is all real numbers D X 1

To save for a new car Trafton invested 7 000 in a savings account that earns 2 5 interest compounded continuously After four years he wants to buy a used car for 8 000 How much money will he need to pay in addition to what is in his savings account Round your answer to the nearest cent Tutorial

Is the graph increasing decreasing or constant 8 B 8 A Constant OB Increasing C Decreasing 4 2 4 2 2 4 B 8 2 4

The water was pumped out of a backyard pond What is the domain of this graph Depth inches 110 100 90 80 88888 70 60 50 40 30 20 10 0 Water Depth 1 2 3 4 5 6 7 8 9 10 11 Time minutes A All real numbers less than or equal to 8 B All positive real numbers C All integers less than or equal to 8

7 State the number of possible triangles that can be formed using the given measuremen a m s 136 PS 14 MP 11 b BC 30 mZA 71 AB 22

P2 Let R be the region in the plane bounded by the curves y z 3 2 Calculate 1 2 x drdy x

Write name date and period Show all sketches and work 1 Solve for m F Round to the nearest tenth F E 107 9 7 G

2 In AABC mZB 57 and AB 10 Which measure of segment AC would cause there to be two possible ways to draw the triangle A 6 B 9 C 12 D 15

12 Find the exact value in radians of the real number y y cos cos 117 6

There are two molecules in the image to the right purple circles and blue blobs The purple circle is being moved via active transport What is this type of active transport called and since active transport requires energy where does the energy to move the purple circle come from Complete sentence s please 1 pt ve