Mathematics Questions and Answers September 30, 2020

Find the value of the trig function indicated 17 tan 7 S 18 cos 5

yauuc or thc trig function indicated. 17) D 18) cos o

Determine dimension d in the accompanying figure to two decimal places 8 150 16 350 9 250 33 50 d

Given the vector with magnitude 15 and directional angle 120 Write the vector in unit vector form

Given the vector with magnitude 15 and directional angle 1200. Write the vector in unit vector form.

Here are summary statistics for randomly selected weights of newborn girls n 36 x 3222 2 g s 686 7 g Use a confidence level of 99 to complete parts a through d below a Identify the critical value a 2 used for finding the margin of error 2 0 Round to two decimal places as needed b Find the margin of error E 9 Round to one decimal place as needed c

ketch the vector indicated The vectors u and v are shown in the figure v 2u 10 5 y 10 8 6 4 2 A 10 X

WS Mix with Algebra Systems of Equations and Quadratics 1 Triangle MNP and OMNare equilateral triangles What method can be used to verify the triangles are congruent Find the value of x and y 3X 12 X 4 M 3x 12 3 In triangle ABC AD is the perpendicular bisector of BC AB 25 AC 3x 5 and mLADC y 35 What method can be used to verify the triangles are

For problems 8 10 solve the triangles Round to the nearest tenth 67 V 49 50ft

For problems 810, solve the triangles. Round to the nearest tenth. 50ft 670

Hannah has an offer from a credit card issuer for 0 APR for the first 30 days and 12 22 APR afterwards compounded daily What effective interest rate is Hannah being offered O A 12 22 B 13 00 C 12 93 D 11 87

a Consider the following Classify the polyhedron made by the net as regular or semiregular regular semiregular Name the polyhedron dodecahedron truncated dodecahedron octahedron truncated octahedron Otetrahedron truncated tetrahedron following X

19 1 point 100 LAND 300 270 10 kr X r r RIVER Find the distance x across the river 30 270 300 27 r

a b COS c sin d tan 117 6 CSC 15 4 87 3 37 2

(a) (b) (c) (d) sin 157t cos tan 377 csc

28 Study the graph 120 90 10 Go 90 2

b. Study the graph.

D 1 Find the surface area of the sphere 676 in 1 2 929 in Tin 8 788 in r 13 in

b Apply for a home equity loan 1 Service rep forwards application to loan committee III Service rep asks for necessary documents and checks to see if customer qualifies II Loan committee meetings are scheduled Customer actions line of information Contact person s line of visibility Backstage contacts ne of internal interaction Alive and The IV

16 17 18 er a triangle ABC like the one below Suppos your answers to the nearest tenth e is more than one solution use the button la

Synthetic Division Lev Jan 30 6 06 44 PM Watch help video Use synthetic division to find the result when x 7x 28x 6 is divided by x 3

We have a deck of 6 cards numbered from 1 to 6 Some are grey and some are white as shown below 1 2 3 4 5 6 Answer the following questions Write each answer as a fraction A card will be drawn at random a What is the probability that a card with a number greater than 2 is drawn b What is the probability that a card with a number greater than 2 is

B 57 A C BL is tangent to the circle centered at A Find the measure of angle BCA Explain or show your reasoning

Test for symmetry and graph the polar equation r 6 6 sin 0 a Is the polar equation symmetrical with respect to the polar axis OA The polar equation failed the test for symmetry which means that the graph may or may not be symmetric with respect to the polar axis B The polar equation failed the test for symmetry which means that the graph is not

Twenty thousand raffle tickets are sold for 4 each Three prizes will be awarded one for 10 000 and two for 5 000 Assume that the probability that any given ticket is selected for the 10 000 prize is 1 and the 20 000 2 Winners do not have their ticket costs of 4 probability that any given ticket is selected for a 5 000 prize is 20 000 refunded to

13 95 The mechanism is rotating about the vertical axis with a constant angular velocity of 6 rad if rod AB is smooth determine the constant position r of the 3 kg collar C The spring has an un stretched length of 400 mm Neglect the mass of the rod and the size of the collar 300 mm C k 200 N m B

20 02 25 20 The total debt to total assets ratio of Rese Company was 0 29 The total of Rese s assets was 200 000 What is the amount of tot debt to Rese Amount of total debt Seved

Are the two triangles similar If so what is the ratio of their corresponding sides Yes 1 6 es 3 4 Next 8 12 O No O Yes 1 4 Report questic

4 5 4 Jada drew a net for a polyhedron and calculated its surface area 20 sq cm 5 5 12 sq cm 4 16 sq cm 4 5 5 3 12 sq cm 3 3 12 sq cm 3 a What polyhedron can be assembled from this net b Jada made some mistakes in her area calculation What were the mistakes c Find the surface area of the polyhedron Show your reasoning

Your Turn Find the probability using permutation with repetition 1 There are 2 mystery books 2 romance books 2 poetry books to be randomly placed on a shelf What is the probability that the mystery books are next to each other the romance books are next to each other and the poetry books are next to each other For example MMRRPP 2 The school jazz

30 Given PQRS is a kite with perimeter 32 inches find the length of SR A 4 inches B 12 inches C 16 inches D 24 inches O A OB C S 2x 6x R

Use the appropriate trigonometric function to find the value of of x in each triangle round sides to the nearest tenth and angles to the nearest degree Don t forget units 4 5 9 in 6 in x 41th 11 ft 6 64 m 31 m X

4 Stephanie is offered two different salary options to sell major household appliances Plan A a 300 weekly salary plus 5 of her sales Plan B a 600 weekly salary plus 1 of her sales What must Stephanie s weekly sales be to earn the same amount on the two plans Write a system of two equations in two variables and so

A poll of 1168 Americans showed that 46 6 of the respondents prefer to watch the news rather than read or listen to it Use those results with a 0 05 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it Use the P value method Use the normal distribution as an approximation

Question 10 What is the shape of the polygon obtained when the square circle asterisk and heart are joined 94 8 74 6 5 4 3 2 1 Y Points 3 2 O Triangle 3 O Quadrilateral 4 5 6 7 8 9

Write 5.8 as a mixed number and as an improper fraction. Write your answers in simplest form.

write S.S as a ryxewnumber and as an vrnptopcvttcvon. Write your answers in

Kelly ar bunch of wa hour and 17 for 1 hour a

Kelly at bunch of w hour and 1 for 1 hour

2 9 4 0 1 0 1 m 0 x 4 x0 3 1 4 0 4 1 60 4 and 1 8 X 12 5 6 Write in slope intercept form y x 2 4 and 1 3 X Ya X Y 7X2 y 8 4 m 2 c 10 Y 2m 4 C 8 X 1 and y 3 9 3 m 1 c m 3 tc 23 44c My 3 C MEI 261 4 c 2 4 C Y mX C 13 2 Find the slope 2 points Use the first point and slope to go into point slope form 1 pt Distribute 2 points Isolate y 2 points Final

Joanna needs two spools of ribbon but there are 13 different choices In how many ways can she choose 2 different spools of ribbon

Which describes something that is owned and has value O A Annuity OB Asset C Liability

Which describes something that is owned and has value O A. Annuity C) B. Asset C) C. Liability

Find the lengths of the missing sides in the triangle Write your answers as integers or as decimals rounded to the nearest tenth 8 X Ox 45 Not drawn to scale Ox 11 3 y 8 Ox 5 7 y 6 9 Ox 8 y 11 3 x 6 9 y 5 7

Ms Anderson gave her students a biology test last week Here are the test scores for each of the eighteen students Test scores 70 82 69 70 67 86 70 87 83 87 71 83 85 80 68 74 81 80 a Complete the grouped frequency distribution for the data Note that the class width is 6 Test scores 66 to 71 72 to 77 78 to 83 84 to 89 X Frequency 0 0 G b Construct a

Example 5 The O Sullivan family will take advantage of the standard deduction to lower their taxable income How much is their standard deduction Look in the left margin of Form 1040 for a bulleted list of this information as shown on below Standard Deduction for Single or Married filing separately 12 200 Married filing jointly or Qualifying widow

Determine the adjusted saturation flow rate in veh h In for a lane group comprised of one lane for the through movement under the ollowing conditions Base rate 1 900 pc h In Lane width 12 5 ft Heavy vehicles 8 of the traffic stream Approach grade 9 No on street parking No bus stops Bicycle and pedestrian traffic conflicting with this lane group is

Espanol A box has 19 candies in it 3 are peppermint 5 are caramel and 11 are taffy Each candy falls into only one of these categories Abdul wants to select two candies to eat for dessert The first candy will be selected at random and then the second candy will be selected at random from the remaining candies What is the probability that the two

How many tangent lines can you draw from point A to a given circle B OC B 3 1 2 4 A

2 Find a polynomial function with zeros of 1 2i and 3 Multiplicity 2 Write the function in standard form

1 x y ve z say lar s ras yla 2 3 ve 5 say lar ile ters orant l d r 6x 3y 10z 8 oldu una g re x ka t r A 6 B 5 C 4 D 3 E 2

The system of equations 2y x 0 y is graphed below x y y hof 8 6 2 5 Use the graph to find the solutions of the system Assume that points of intersection fall on the grid x y smaller x value X larger x value

4 Solve for the values of x y and z yx N 76

4.) Solve for the values of x, y, and z. z 760

Each type of penny contributes a different amount to the overall mass We can calculate the amount each type contributes by using the abundance in decimal form and the average mass of the penny type Post 1982 mass decimal abundance average mass Sample Pre 1982 Post 1982 Number of Pennies 8 12 Abundance 9 40 60 Average Mass g 3 1 2 5 What mass do

on over a two period interval Give the period and amplitude 8 cos 5x amplitude is plify your answ

8cos5x is your

23 hents 15 uations ies QUIZ205 5592307 lake Question 7 Here is some information about an article This article was published on Buzzfeed in July 2019 of the article is Community Colleges Prepare Studen Which sentence below is cited correctly Please pay such as quotation marks and periods

2 Consider the following polynomial x x 12 p x Which one of the following is correct O p 4 0 Op 6 0 O p 3 0 O p 4 0 O p 1 0

What will the Linear search algorithm returi when finding 5 in the list 1 4 5 6 2 3 def Linear Search a x for i in range 0 len a if a i X return 1 05 2 return i 3

Determine the monthly payment for the installment loan Annual Number of Percentage Payments per Time in Year n Years t Amount Financed P Rate r 14 000 5 5 Click the icon to view the partial APR table The monthly payment is S Round to the nearest cent as needed DEE

A pet store surveyed 132 people to gather information about the types of pets they own The table below gives the results for two types of pets Number of people 66 85 47 Own a bird Own a dog Own both a bird and a dog Construct a Venn diagram illustrating these results Then answer the questions All people in the survey Own a bird 7 uttons change the

Betty makes daily deposits of 9 67 into a savings account If the account has an annual rate of 2 how much interest will she earn after 687 days Round your answer to the nearest dollar

3 Calculating a Heading A woman launches a boat from one shore of a straight river and wants to at the point directly on the opposite shore If the speed of the boat relative to the water is 10 mi h and the river is flowing east at the rate of 5 mi h in what direction should she steer the boat to arrive at the desired landing point See Example 5

Lesson 15 4 Checkpoint Once you have completed the above problems and checked your solutions complete the Le below Complete the Lesson Reflection above by circling your current understanding of the Learni 1 Find the value of x and J M 6 X N L H K 10 2 Find the value of y and the length of each secant segment y 18 7 N J 10 M 9 L

Are the polygons are always sometimes or never similar Two equilateral triangles O always O sometimes never

Are the polygons are always, sometimes, or never similar Two equilateral triangles. O always O sometimes

Use the graph to complete problems 1 3 8 7 6 T T 8 7 9 5 3 2 7 3 2 1 0 1 2 w 5 6 7 8 y b What could be the ordered pair of point F E 1 2 3 4 5 6 7 8 C D Consider the line segment with endpoints E and F What could be the ordered pair of point E F X C What is the length of the line segment with endpoints E and F

A barrel of fuel oil is a right circular cylinder where the inside measurements of the barrel are a diameter of 24.5 inches and a height of 34.5 inches. There are 231 cubic inches in a liquid gallon. Determine and state, to the nearest tenth, the gallons of fuel that are in a barrel of fuel oil.

Sam borrows a certain amount of money to help pay for expenses To pay back the debt he makes weekly payments of 276 If the loan carries an annual rate of 3 7 how much will he still owe when there are 23 payments left Round your answer to the nearest dollar

Find the periodic payment for each sinking fund that is needed to accumulate the given sum under the given conditions Round your answer to the nearest cent FV 700 000 7 6 compounded semiannually for 20 years

INDEPENDENT 2 In the diagram above of right triangle ABD the mzBAD 60 Det the distance from D to C A 450 600 100 mt

For the vectors u 1 2 and v 4 1 express u as the sum u p n where p is parallel to v and n is orthogonal to v u p n 0 0 Type integers or simplified fractions List the terms in the same order as they appear in the original list

16 What is the sum of the finite arithmetic series 8 15 22 29 64

16) What is the sum of the finite arithmetic series 8 15 29 64

Divide 4x 2x 3x 3 by x 1 using synthetic division Fill in the table below O

Divide 4x4 2r3 3x2 3 by (x 1) using synthetic division. Fill in the table below

Your Turn Find the volume of each composite figure 1 16 m 16 m 10 m 4m 5m 2 8 ft 8 ft 8 ft

In the applet below h represents the terminal point s horizontal distance to the right of the circle s center in radius lengths You can vary the value of h by dragging the purple X on the horizontal diameter of the circle The angle s whose terminal point is h radii to the right of the circle s center is are shown 0 30 a Set h to about 0 5 How many

6 Jack bought an automatic water bottle feeder for his cat A diagram of the bottle is shown below What is the maximum amount of water that the bottle can hold 12 5 in 16 in 1 8 5 in A 238 07 in 3 B 328 07 in 3 C D 278 03 in 3 382 03 in 3

A boat is sailing about 400 ft from the cliff at the shore of a lake A sailor on the boat uses a device to measure the angle of elevation between the lake level and the top of the cliff Find the height of the clif 15 Cliff h

J133 Number Sums for Rolling a Pair of D of rolling an ordinary pair of dice the sum will be each of the followi a table showing the sum for each outcomes 17 even or a multiple of 3 18 11 or 12

Flat Tax Some Americans are supporting switching to a flat income tax rate of 15 How much would you pay under this plan Your Income X 15 or 15 Calculator Tip To multiply by a percentage you can use your calculator in two ways You can use the percent symbol key or you can enter the percentage as a decimal To change a percentage to a decimal move

her the equation y 9 x is linear Find the

her the equation (y)(9)x is linear. Find the

View Policies Current Attempt in Progress Kaspar Industries expects credits expected that 75 of the sales wi Compute cash collections from c Credit Sales Janu

Question 9 You deposit 2000 in an account earning 3 interest compounded continuously How much will you have in the account in 5 years

Tara invests 555 into a savings account that has an interest rate of 12 6 and is compounded quarterly How many years will it take for the account to reach a balance of 5 600 O 17 3 years O 18 0 years O 10 7 years 18 6 years

7 Randy Coplin owes the bank 8 500 To repay the debt he paid a fixed amount back to the bank each month After 12 months his remaining debt was 6460 How much did Randy Coplin pay each month t 4 0 6 8 Function 1 is defined by the equation r t 9 Function 2 is defined by the following table How long did it take Randy to pay back his entire debt Write

4 a A certain type of storage battery lasts on average 3 0 years with a standard deviation of 0 5 years Assuming that battery life is normally distributed find the probability that a given battery last less than 2 3 years I

Bao is trying to find the height of a radio antenna on the roof of a local building She stands at a horizontal distance of 27 meters from the building The angle of elevation from her eyes to the roof point A is 34 and the angle of elevation from her eyes to the top of the antenna point B is 37 If her eyes are 1 7 meters from the ground find the

A group of researchers are working to determine the historic sea levels of the body of water They are attempting to do this by taking samples around the body of water and in a nearby cave and after analyzing sediment cores from around the body of water to those in the cave The Climatologist that is working in the cave is trying to determine the

Darnell s credit card has an APR of 19 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance O 0 00 800 00 796 67 793 35 790 04 786 75 783 47 A 9 B 21 C 79 New charges 800 00 D

Ahmad had 8 9 acres of land He planted 4 5 of this land with corm How many acres did he plant with corn Write your answer in simplest form

Pretend your homeowners policy has a premium of 150 a deductible of 5 000 and a limit of 300 000 Your home suffers 170 000 in damages 1 How much will you pay for the damages 2 How much will your insurance pay

Question A frustum of a pyramid is a part of the pyramid with two parallel bases The lateral faces of the frustum are trapezoids Use the area formula for a trapezold to derive a formula for the lateral area of a frustum of a regular square pyramid with base edge lengths by and by and slant height 2 B 261 63 201 02

A bank features a savings account that has an annual pe compounded quarterly Dalton deposits 6 500 into the The account balance can be modeled by the exponentia account value after t years a is the principal starting a the number of times each year that the interest is comp A What values should be used for a r and k am T k B How much money will

Find the bearing from O to A N W A E The bearing from O to A is

Find the bearing from O to A. w The bearing from O to A is

I 21 8 0 Enter your answer in INTERVAL notation using U to indicate a union of TE intervals or enter DNE if no solution exists

Determine the scale factor Pre Image Image 1 1 3 4 5 1 3 3 9 12 15 3

Determine the scale factor. Prelmage (1, 1), (3, 4), (5, 1) (3, 3), (9, 12), (15, 3) Image

You go to the doctor and milligrams of dye remain

You go to the doctor and milligrams of dye remain

18 3 An antihistamine shows sharp peaks at Raman shifts of A 488 725 875 925 and 1350 cm At what wavelengths in nanometers would the Stokes and anti Stokes lines for the antihistamine appear if the source were a a helium neon laser 632 8 nm b an argon ion laser 488 0 nm

estion 2 3 points Professor Toogray s class only th ppose marks in the class are nor riance of 36 Ravi is senior hopi

4 R S and T are collinear S is between R and T RS c 5 ST 3c 14 and RT 35 What is the value of c a 11 b 12 c 13 d 14

Match each definition with the correct term a prewriting technique where the author lists multiple ideas as he or she thinks of them not considering one more than another until all ideas are captured audience the first version of a writing that will undergo rewriting additions and editing before it is submitted a preliminary plan for a piece of a

Probabilities in Golf Scoring The table gives Josh s probabilities of scoring in various ranges on a par 70 course In a given round find the probability of each event T Below 60 60 64 65 69 70 74 79 80 84 85 89 90 94 95 99 100 or above P x 0 04 0 06 0 30 0 23 0 06 0 04 0 03 0 01 27 par or above 0 76 28 in the 80s 15 29 less than 90 052 30 not in

Test the claim about the difference between two population means and 2 at the level of significance a Assume the samples are random and independent and the populations are normally distributed Claim 0 01 Population statistics 3 2 0 1 7 Sample statistics x 14 n 30 X 16 n 27 Ha H1 H Determine the standardized test statistic Z Round to two decimal

About 20 of people in America use a certain social media website In a group with 15 people assume that it is a random sample of people in America what are the following probabilities Round your answers to three decimal places USE SALT a At least one of them uses the website b More than two of them use the website c None of them use the website 0

Your Turn Find the measures using the figure provided 1 mPN 2 m2MNP 61 N 238 M

Your Turn Find the measures using the figure provided. 1. mfN 610 N 23 M

1 Convert each measure 4 marks a 8 ft 6 in to the nearest centimeter b 300 g to the nearest ounce

V and w head to tail as needed to sketch the indicated vectors a u v b u v w C U V d u w Choose the correct sketch for u v O A Q Choose the correct sketch for u v W O A Choose the correct sketch for u v O A Q O B B OB Q Q C C O C O C u Q G 5 W O D O D O D Q Q G Q

A cell phone tower is anchored by two cables on each side for support The cables stretch from the top of the tower to the ground with each being equidistant from the base of the tower The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 If the tower is 140 feet tall find the ground distance

A helicopter is flying at an altitude of 222 meters at an angle of depression of 43 to its landing pad What is the distance d between the helicopter and the landing pad Round your answer to the nearest whole number 43 222m Landing Padi

Compute the Probability of Getting Exactly 5 Heads A coin is flipped 10 times and the result is recorded Compute the probability of getting exactly 5 heads Complete the following to find the probability of getting exactly 5 heads Question 12 What is the probability of getting exactly 5 heads P A N A N S A B C D 0 492 0 082 0 246 0 194