Mathematics Questions and Answers September 30, 2020

For the function H x x 2 a graph the rational function using transformations b use the final graph to find the domain and range and c use the final graph to list any vertica horizontal or oblique asymptotes a Choose the correct graph below O A O B G C O B The domain of the given function is xlx is a real number x Type an integer or a simplified

Female Male Total 45 814 Snellville 13 10 20 30 Stone Mountain 12 14 26 Suwanee Total Consider the following table with information about a sample of students from Phoenix High School and where they live If a person is randomly selected determine the following probability provided the condition P Female Suwanee 8 16 24 30 50 80

Measurement Seated elbow position Calculations Percentile 9 5 inches Males Males 50th percentile 0 3 inches 7 5 inches 10th percentile Standard Deviation 9 1 inches Females 50th percentile 0 2 inches Males Minimum resting elbow height 9 5 inches 2 inches 7 5 inches Maximum resting elbow height 9 5 inches 1 inch 10 5 inches Females Export t Minimum

a Find the component form of the velocity of the airplane b Find the actual ground speed and direction of the airplane Save changes Cancel acer the bearing 200 at 80 mph

4 A bag contains 40 marbles 12 of the marbles are red What is the percent of red marbles in the bag

1 2 3 4 5 6 7 8 Statement A statistical hypothesis is a statement about population parameter The statement X 100 is a statistical hypothesis The statement u 24 is a statistical hypothesis The statement o 4 is a statistical hypothesis The statement sx 12 is a statistical hypothesis We use sample information to decide between competing hypothe

A n has both a magnitude and a direction 327 O A angle OB scalar C component O D vector

8 2 d x x2 2 AB BC 8 6 4 2 0 CD 2 B C DE 4 A D EF H E 6 FG 8 GH G F AH P A

5 Find the volume of the cone below 10 cm La 10 cm 6 Find the volume of a cone that has a height of 9 inches and a diameter of 12 inches Use 3 14 for and round to the nearest tenth 7 Find the volume of the composite figure Use 3 14 for 7 and round to the nearest tenth The dimensions of the cylindrical conical tank are as follows The radius of the

34 Change to trigonometric form then find the indicated pow result in trigonometric form 1 i 5 A 4 2 cos 315 i sin 315 B C D 32 cos 45 i sin 45 4 2 cos 45 i sin 45 32 cos 315 i sin 315

10 2 Determine the angle of rotation 0 and deflection SB at the free end of a cantilever beam AB having a uniform load of intensity q acting over the middle third of its length see figure L L

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Suppose more than a decade ago high levels of lead in the blood put 89 of children at risk A concerted effort was made to remove lead from the environment Now suppose only 8

Write an equation for the function graph 1 1 1 1 1 7 6 5 1 T 1 1 1

Use a Venn diagram Let P Z 0 43 P Y 0 31 and P Z UY 0 56 Find each probability a P Z Y b P Z UY c P Z UY d P ZnY Complete the Venn diagram using the given probabilities region I represents region Il represents region III represents region IV represents Type integers or decimals S N Y ID IV

What is the value of x LL F X x 52 x 12 2x G H E

What is the value of x X120

The accompanying data gives the results of a survey on the number of hours spent online per week on a certain social networking website Determine if the mean number of hours spent online per week is the same for males as it is for females Assume that the population variances are unequal Click the icon to view the social media survey data Is there

Find the exact value of the expression given below 7 12 COS 2 1 3 4 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denomin COS 7 12

Determine the magnitude and direction of the vertical shift and the phase shift for the function below f x sin x 7 3 Select the correct answer below O O O The vertical shift is left 7n units down and the phase shift is 3 units to the 4 The vertical shift is 7 units up and the phase shift is 3 units to the left 4 7 The vertical shift is 3 units up

What is the m BDE J O O 313 86 94 47 E 47 B D

What is the mLBDE 0 3130 860 940 470

There are many types of quadrilaterals a polygon with 4 sides Please match the name to its best description Two pairs of opposite sides parallel All of the angles have a measure of 90 All of the sides have the same length All of the angles have the same measure and all of the sides have the same length One pair of opposite sides are parallel

What is the equation of the line with a slope of 2 and a y intercept of 5 Oy 2x 5 Ov 5x 2 2 Ov x Or G

The Grand Canyon and the Colorado River are beautiful rugged and sometimes dangerous A physician has recorded for a 5 year period the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Uppe and Lower Grand Canyon Upper Canyon Number of Injuries per Landing Point Between North Canyon

The initial and terminal points of vector v are (2, -6) and (8, 1), respectively.(a) Write v in component form.(b) Write v as the linear combination of the standard unit vectors i and j.

use a computer algebra system to find the exact volume of the solid by obtained by rotating the region bounded by y sin 2 x and y sin 4 x where 0 x pi about the line x pi 2

x 8x 15 x2 16x 64 State your answer using interval notation Use U for union and oo for co Solve the following inequality 0

Let = (-3, 4) and b = (5,-2).Find the projection of b onto a.proja b =

i ( 3, 4) and Let c Find the projection of b onto a. proja b 2).

Sylvia makes pizzas at an Italian restaurant A large pizza is listed on the menu as being 16 inches Sylvia wants to know how accurate she is at throwing dough to that size A coworker measures all the pizzas Sylvia throws and they randomly select 35 data points They use this data to calculate the following 95 confidence interval 15 85 16 10 Use

4 POINTS 11 SOLVE THE FOLLOWING ODDS AND PRO A HOT DOG CONTEST THE ODDS IN F DOG EATING CONTEST ARE 2 7 FIND THE CONTEST B A RED MARBLE A BOX CONTAINS 9

5 24x 3y 63 y 8x 21 A No solution B 6 2 C 6 2 D Infinite number of solutic

8 Find the sine cosine and tangent for 60 6 30 4 3 2 3 60

8. Find the sine, cosine and tangent for 60,

Determine the components of the directed line segment AB 8 71 5 A 3 2 1 A 1 7 2 0 4 2 2 4 O 14 4 2 B 3 3 3 5 6 7 8

Determine the maximum area of a rectangular field that can be enclosed 2400 m of fencing

. Determine the maximum area ofa rectangular field that can be enclo 2400 m of fencing.

IS 1 05 shadow to be 26 45 meters She stands 21 4 meters away from the tree so that the tip of her shadow meets the tip of the tree s shadow Find the height of the tree to the nearest hundredth of a meter 26 45 m Type your answer 18 ft 1 65 m 7 ft 21 4 m 6 1 point A pole 7 feet tall is used to support a guy wire for a tower which runs from the

15 In circle O AO is 6 If mzBOC 90 what is the distance of BC Round to the nearest tenth if necessary A 6 5 B 8 5 C 12 5 D 18 A B C 8 D C

What values are required for A and B so that 3pi 4 is a solution to the following question Asin x Bcos 2x 1 A R

Write a sine function that has an amplitude of 3 a midline of y 4 and a period of 1 4

elp Lecture 94 Ex 94 2 694 The position x of a ball with respect to time t is given by the following polynomial function x t 6t 9t 1 If x is in meters and t is in seconds find the acceleration ball x t in meters per second per second In other words find d x the change in s over the change in time which is the ball s acceleration dt 1

Let P Find p p 0 5 0 1 0 5 0 9 0 30 0 70 be the transition matrix for a Markov chain with two states 0 14 0 86 What proportion of the state 2 population will be in state 2 after two steps

estion 18 of 20 1 point Question Attempt 1 of 3 9 12 needs to borrow 10 000 She can borrow the money at much total interest would Bethany pay at 6 5 simple in much total interest would Bethany pay at 5 interest co interest

Read the excerpt on Jean Jacques Rousseau then answer the following question Jean Jacques Rousseau was one of the most influential thinkers of the Enlightenment A writer of amazing breadth and depth his works of social and political theory as well as musical criticism novels and even a successful opera continue to be relevant His ideas inspired

for 1 The minute hand of a clock is 8 inches long To the nearest tenth of an inch how far does the tip of the minute hand travel as the time progresses from 12 00 to 12 45 10 8 11 12 6 5 7

Prove sinsin x y cos cos sinx casy secx croy x y sinx

9 12 Find the sum of the given vectors and illustrate geometrically 9 1 4 6 2 10 3 1 1 5

An ice cream factory makes 160 quarts of ice cream in 10 hours How many quarts could be made in 36 hours What was that rate per day

Consider the absolute value equation x 1 8 Solve the equation Enter your answers as a comma separated list x 9 7 Graph the solution on the real number line Use the tools to enter your answer

43 Express this product as an algebraic sum 2 sin 38sin 58 A cos 80 cos 20 B cos 80 cos 20 C cos 88 cos 20 D cos 80 cos 20

Using data and projections from 1950 to 2050 the number of women age 16 years and older in millions in a particular country s civilian labor can be modeled by the following where x is the number of years after 1950 y 0 00009x 0 00636x 1 043x 17 389 Use the model and a graphing utility to estimate when the number of women in the labor force reached

points and Q and the Cartesian directions x y and z The point Q is located on the xy plane Select the answer that provides the position of the point P measured from point Q as a Cartesian vector X 111 8j 12k 11x 8y 12z 81 5j 12k 8x 5y 12z 31 131 3x 13y Z 13 P 5 8 12 Q 3 y

7 If f 0 2 sin 0 cos 20 find f Do not use a calculator and express each exact value as a single fraction 1 Type an integer or a simplified fraction Type an exact answer using radicals as needed Rationalize the denominator

The San Andreas fault in West Coast of California is an examples of O convergent boundary O divergent boundary O no plate boundary transform hous

Find a constant h for which the vectors 3 and h are orthogonal 6 pts

. Fin d a c onstant h for w hieh the vectors 2 and h are orthogon RI. (6 pts)

Find the missing lengths x 10 2 y 10 2 y X 5 6 2 5 6 2 10 6 3 10 6 3 45 x 5 2 y 10 X None of the other answers are correct

he blade of a creu r saw rotales at a rate of 4000 revolubons per minute What is the inear velocity in miles per hour of a point on on the 5p of the outer edpe of a 7 t 4 inch diameter blade The linear velocily as approximately triles per hour Round to the at tanth ded 7

Given a segment with endpoints A 3 7 and B 3 8 Find the coordinates of point C AC 3 between A and B so that the ratio CB 2

K deviation o 15 Find the probability that a randomly selected adult has an IQ between 93 and 117 Click to view page 1 of the table Click to view page 2 of the table The probability that a randomly selected adult has an IQ between 93 and 117 is Type an integer or decimal rounded to four decimal places as needed dard Normal Table Page 1 EGATIVE Z

What percent of 120 is 72?60%86.4 %0.6%1.67%

What percent of 120 is 72 (O o o 6.4 0.6 1.67

6 AABC has vertices A 12 20 B 8 16 and C 4 0 What are the vertices of the image after a dilation 7 with a scale factor of using the origin as the center of dilation 4

8 A toy store is having a sale All items are half price Rick buys 5 toy cars and 2 dinosaurs Let c represent the regular price of a toy car and let d represent the regular price of a dinosaur Which expression does NOT represent the total cost of his purchases after the discount A B A B 0 5 5c 0 5 2d 5c 2d 2 A B 9 A clothing store has marked down

E inometry Spring 2023 Sp23 MATH 1106 90 Tri 1 Points DETAILS Use a graphing device to draw the curve represented by the parametric equations x 12 sin 5t y 20 cos 3t 20 10 y 10 Homepage N W Assignment 10 Parametric Equations Trigono 10 10 20 X 10

Dane s credit card has an APR of 16 calculated on the previous monthly balance His credit card record for the last 7 months is shown in the table below End of month 2 3 7 Previous balance 0 00 302 00 246 02 123 32 113 49 108 35 220 71 A 133 34 B 193 00 C 220 71 New charges 302 00 229 00 283 21 19 00 47 00 83 00 148 00 193 00 Payment received 0 00

9 3 out of question ces Tutorial Assignment and Test Page Fall 2022 7 Online Assignmen An ecosystem with mature trees has a relatively constant population of beetles species 1 around At t 0 a single reproducing invasive beetle species 2 is introduced accidentally If species 2 grows at the exponential rate at what rate is species 2 growing when the

From the previous page use the Paragraph Proof of the Vertical Angles Theorem to write a two column proof of the Vertical Angles Theorem Refer to the reason bank below C Given 21 and 23 are vertical angles Prove 41 23 Two Column Proof of the Vertical Angles Theorem Statements 1 21 and 23 are vertical angles 2 21 and 22 are a linear pair and 22 and

Consider the figure and the dimensions given Find the volume and surface area The length is 12 The width is 5 The height is 17 The slant height is 23 Round your answers to the first decimal place if needed Volume S Surface Area

After a business transaction has been analyzed and entered in the book of original entry the next step in the recording process is to transfer the information to 1 the company s bank 2 stockholders equity 3 general ledger accounts 4 financial statements

1 The vectors and are drawn as shown below Draw a vector equivalent to each of the following X

l. Ihe vectors x and y are drawn as shown below. Draw a vector equivalent to each of the following. x

3 Find exact values of the six trigonometric functions for the angle by hand Do not use a calculator 4 sin 3 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Find the elgenvalues and elgenvectors of A geometrically over the real numbers R If an elgenvalue does not exist enter DNE If an eigenvector does not exist enter DNE in any sin blank A reflec 2 1 reflection in the line y x has elgenspace span has eloenspace spanl smaller value fisroor value

Sketch the following polar rectangle RE R 0 0 1 r 3 G M x 4 50 2x 3 COMMO 53

3 The volume of the cone is given Show the work necessary to find that the volume of the cone is V 78 776 3 mi Use 3 14 for I Show the work 28 mi lup 100 mi 4 Find the volume of the cone be wel stumises 14 m 14 m

Match each statement with its symbolic notation G A q P B pq C pv q D p q E q p F p q G 4 Conjunction 5 Disjunction 6 Conditional 7 Inverse 8 Converse 9 Contrapositive 10 Riconditional n a

In circle L with m KLM 54 and KL 10 units find the length of arc KM Round to the nearest hundredth M L K

Graph the complex number 3 5i O O 6 5 4 3 2 1 Find the modulus c Im i il 6 5 4 3 2 1 i Im i 1 2 3 4 5 6 1 2 3 4 5 6 Re Re O O 6 5 4 3 2 1 6 5 4 3 2 1 Im i il Im 1 1 2 2 3 4 5 3 4 5 6

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47 sin Cos a b 7 25 24 25 c 0 d 1 14 Tan 13 5 4 The ans

A pyramid and a cone are both 10 centimeters tall and have the same volume What statement must be true about the two solids A4 A The horizontal cross sections of the pyramid and cone at the same height must have the same area B The area of the cross sections of the pyramid and cone are multiples of each other The proc coctions of the pyramid and

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment Which statement regarding the relationship between the given line segment and its image is true a The line segments are perpendicular and the image is one half of the length of the given line segment b The line segments are perpendicular and the image is

Give the equation of the line with a slope of-52and a y-intercept of 4.

5 Give the equation of the line with a slope of and a yintercept of 4. 2

Convert the measurement to the nearest hundredth .59 feet per second = _ miles per hour

Convert the measurement to the nearest hundredth . 59 feet per second miles per hour

Chrome File Edit View History CP Links DZL Homepage MAT172 N820 P X M Gmail DZL Brightspace Bookmarks Profiles Tab Wi www awu aleks com alekscgi x lsl exe 1o u IgNslkr7j8P ALEKS Lana Butler Learn OGRAPHS AND FUNCTIONS Translating the graph of a function One step Part a Translate each graph as specified below a The graph of y f x is shown Translate

6 4 C 10 A 8 6 4 1 2 0 2 4 6 8 10 y 2 B 4 D 946 X Move the points so that they all lie on the graph of f x x 4 x 3 x 5 60 and do not coincide

What is the volume of the cylinder below OA 45 units OB 727 units 3 C 90 units 3 3 O D 36 units 3 5

1 point What is a radian a radius that is 3 14 inches long an angle measure with an arc length equal to one diameter length an arc length that is the length of one diameter an angle measure with an arc length equal to one radius length Previous

A guy wire is secured near the top of a television transmitting tower The guy wire meets the ground at an angle of 57 If the height of the tower is 26 ft how long is the guy wire Round to two decimal places as needed

5 x y 115 6 w 122 74 x NO Wo 152 70 81 N

J 150 740 1520 700 w

A lighthouse sits at the edge of a cliff as shown A ship at sea level is 1100 meters from the base of the cliff The angle elevation from sea level to the base of the lighthouse is 48 1 The angle of elevation from sea level to the top of the lighthouse is 50 5 Find the height of the lighthouse from the top of the cliff Do not round any intermediate

Determine tension T for the pulley system shown in Figure 8 Show appropriate free body diagrams to support your calculations 300 N

quiz 40 point s possible This question 1 point s possible A protected wilderness area in the shape of a rectangle is 5 kilometers long and 3 1 kilometers wide The forest is to be surrounded by a hiking trail that will cost 12 000 per mile to construct What will it cost to install the trail Note that 1 mile mi 1 6 kilometers k It will cost to

Specify the set by description 10 20 30 110 O multiples of 10 between 0 and 110 O multiples of 10 between 10 and 120 between 0 and 120 O multiples of 10 O multiples of 10 between 10 and 110 O multiples of 10 greater than 0

Find all zeros and periods of cosh z and sinh z

. Find all zeros and periods of cosh z and sinh z.

and 43 4 and 19 Tactor pair of the number 76 3 and 22 8 and 9

and 43 and 19 4) 3 and 22 O 8 and 9 C)

A large waterfall is managed so that a minimum of 90 000 cubic feet of water per second ft sec flow over the falls Find the minimum amount of water that will flow over the falls in a 24 hour period during tourist season Write your answer in scientific notation 8 cubic feet of water flow over the falls in a 24 hour period A minimum of 7 776 x 10

ENGAGE MINDTAP ations 6 4a Oscar is single with a taxable income for last year of 74 555 His employer with If line 11b taxable income is At But least less than And you are Single Married Married filing filing jointly sepa rately Your tax is 74 000 74 000 74 050 12 144 8 495 12 144 74 050 74 100 12 155 8 501 12 155 74 100 74 150 12 166 8 507 12 166

College by Denise Marie Ordway As tuition rises and the other costs of college go up campus administrators are forced to face a troubling reality Many college students don t get enough to eat In response hundreds of schools from community colleges to Ivy League universities have opened food pantries or stores selling subsidized groceries Many

The cost of 500 000 worth of 30 year term life insurance for Rico is 66 60 per month If Rico s employer covers 90 of this cost how much is deducted from Rico s gross income per year for life insurance A 799 20 B 79 92 C 719 28 D 59 94

If y represents total earnings in dollars and x represents hours worked ther the equation that corresponds to the earnings of someone who makes 10 25 an hour is OA x 10 25y OB y 10 25 X OC y 10 25 x D y 10 25x

6 ETO What is the area of this triangle in square units Explain or show your reasoning

What is the area Of this triangle. in square units Explain or show your reasontn

work call to Brazil a long distance telephon lars and the duration of the call x in m

York call to Brazil, a longdistance telephon lars and the duration of the call, x, in

4 Duane Hartley owns 2 000 shares of Solar X stock which he purchased for 28 40 each Recently he read that the average selling price of his stock was 37 90 The company paid annual dividends of 1 80 per share last year a What is the annual yield on his stock b For an investor who purchased the stock at 37 90 per share what is the annual yield

In circle C with m BED 49 find the m BCD D B C E

In circle C with mZ13ED 490, find thc rnZBCD.

Question 9 of 10 Pete has the option of borrowing 380 for one week at an APR of 600 or borrowing the 380 for one week with a fee of 45 Which is the better deal OA Borrowing the 380 for one week at an APR of 600 since Pete will owe less interest this way than with the fee of 45 OB Borrowing the 380 for one week with a fee of 45 since Pete will owe