Basic Math Questions and Answers

For the list below choose domains for which the statement is false 3x S 4x 1 0 Select ALL that applies S N Set of all real numbers Q 4 9 All positive integers O 1

Which of the following is a symbolic form of the statement Each student in this class has studied Calculus Let C x be x studied Calculus and the domain of the variable consists of all people VxC x O 3x x x C x None of the above

Identify the type of each given statement Square of any real number is non negative x 0 is a solution of the equation x 3 10 x 3 10 a is a positive number Everyone likes Indian food Some sets are disjoint A Predica B True p C False

What is the truth value of Vx x 2x a If the domain of x is R b If the domain of x is Z Enter T for truth and F for false

Espanol Donna has scored 24 28 and 26 points in her three basketball games so far How many points does she need to score in her next game so that her average mean is 26 points per game

Use the information given below to find tan a B sina cos 5 13 I 12 13 with a in quadrant II with B in quadrant I Give the exact answer not a decimal approximation tan a B

Question 13 6 8 29 Part 1 of 4 ed growth can be modeled by exponential fu units of time to triple then the function P t

List the members of the set A x x is a real number such that x2 1 separating them by a comma

From the list below choose all true propositions about sets M and N where M A B n A C and N A BnC M N MnN OMCN MnN

Last year over 12 000 students took an entrance exam at a certain state university Donna s score was at the 84th percentile Dan s score was at the 18th percentile a Which of the following must be true about Donna s score About 84 of the students who took the exam scored lower than Donna O Donna got about 84 of the questions correct O Donna s score was in the bottom half of all scores Donna missed 16 questions b Which of the following must be true about Donna s and Dan s scores O Both Donna and Dan scored higher than the median Both Donna and Dan scored below than the median Donna scored higher than Dan O Dan scored higher than Donna X G DE 18 Aa K

Graph the function and evaluate the following f x x 1 z 1 2x 1 z 1 f 1 f 2

s and Test Page SC MATH1507 M N O P Q R S Mat many permutations are there of 47 objec

Each person in a community was asked What is your favorite type of pet The pie chart below summarizes their responses None Other Cat Fish Dog Bird a Which category was chosen by approximately one third of the community Select One b Approximately what percentage of the community chose Bird or Fish Write your answer as a multiple of 10 that is 10 20 30 0 c If 10 of the community chose None approximately what percentage chose Other 3 5 20 X 50

Last year over 10 000 students took an entrance exam at a certain state university Salma s score was at the 57th percentile Boris s score was at the 39th percentile a Which of the following must be true about Salma s and Boris s scores O Both Salma and Boris scored higher than the median O Both Salma and Boris scored below than the median Salma scored higher than Boris O Boris scored higher than Salma b Which of the following must be true about Salma s score O About 57 of the students who took the exam scored lower than Salma Salma got about 57 of the questions correct O Salma s score was in the bottom half of all scores Salma missed 43 questions X 18 Aa K

An army base in a remote and hot location uses 80 MRES prepackaged meals per day Getting a shipment of MRES costs 1000 no matter how many are delivered Storing an MRE overnight costs 0 25 Decide how many MRES should be in each shipment to minimize the total cost of shipping plus storage

Question 8 1 point A population has a mean of 80 and a s observations will be taken The proba 82 is

Question 7 1 point You are interested in estimating average City Commuting distance has unknown Suppose you collect data from a sample What distribution does the sampling me

Rewrite without parentheses 7c 2 d 4 6d 5 5c 3 d Simplify your answer as much as possible

200 mcg minute IV The medication is available as 400 mg in 250 mL D5W The dopamine is being run on an infusion pump What is the rate in milliliters per hour

10 3 A cantilever beam is subjected to load P at midspan and Counterclockwise moment M at B see figure a Find an expression for moment M in terms of the load P so that the reaction moment at A M is equal to zero b Find an expression for moment M in terms of the load P so that the 0 also what is rotation deflection B c Find an expression for moment M in terms of the load P so that the rotation 0g 0 also what is deflection A L 2 El constant L 2 M B

The physician has ordered regular insulin 21 units hour IV The medication is available as 250 units in 250 mL normal saline The insulin IV is being run on an infusion pump What is the rate per hour

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

10 6 A simple beam AB of length L is loaded at the left hand end by a couple of moment Mo see figure Determine the angle of rotation 8 at support A Obtain the solution by determining the strain energy of the beam and then using Castigliano s theorem Mo

9 A B 10 A 11 A 2 1 3 1 32H 2 1 1 2 3 1 4 3 2 5 0 4 12 A 2 4 6 0 4 0 2 4 1 8 6 1 0 0 0 1 1 9 6 7 ol 1 B 4 B B 8 4 3 5 1 2 4 7 10 9 1 3 2 4 01 2 3 6 2

In Exercises 5 12 if possible find a A B b A B c 3A and d 3A 2B 5 A 6 A 7 A 1 1 23 B 2 B 2 2 1 8 A 1 2 6 2 4 5 3 1 2 1 1 1 B 15 1 10 5 4 B 1 1 2 3 3

Determine the wetted perimeter for the channel section shown below for y 2 98m 20 m 1 m TE m 5 m 2 2 m 35 m

Alex and Betty get utility from leisure and from driving their vehicles d The utility of Alex is given by Ua la d da d and the utility of Betty is given by Ub lv 2 1 2 da d The last term da d is the negative effect of air pollution Each has an initial endowment of 1 unit of time and no endowment of driving In order to drive they must sell their labor at price p and purchase d i e pay for the vehicle gas etc at price pa A perfectly competitive firm produces vehicle driving using production function D L a 2 pts Setup the household and firm problems in this competitive market environment b 6 pts Solve for the competitive equilibrium in this economy Report the utility of each consumer

semicircle radius standard form vs general form of the equation of a circle concentric circles tangent circles internally vs externally When comparing classified as to they can be because agile Mind 1 The equation of Ais x y 4 The equation of B is x y 25 What do you know about the two circles 2 Complete the sentence stem blow to write the translation applied to A with the equation x 1 y 4 that gives B with equation x 3 y 4 4

A B 3 The two equations below represent two circles Which statement best describes the relationship between the circles Circle 1 x y 4x 6y 9 0 Circle 2 2x 2y 8x 12y 8 0 A The two circles are concentric C The two circles have the same radius E The two circles are externally tangent B The two circles are congruent DA The two circles are internally tangent

6 Use the choices below to complete the equation of a circle that is centered at 2 3 with a radius of 5 OA OB A x 2 2 y 3 5 B x 2 y 3 25 C x 2 2 y 3 5 D x 2 y 3 25 2 3 x y 5 25

7 Rewrite the equation in standard form of a circle and state the center and radius x y 8x 4y 16 0 A x 4 2 y 2 4 center is 4 2 and radius is 4 B x 8 2 y 4 4 center is 8 4 and radius is 4 C x 8 y 4 4 center is 8 4 and radius is 2 D x 4 y 2 4 center is 4 2 and radius is 2

9 Decide if the statement below is always sometimes or never true Never true Never True Sometimes True Always True If two unique circles intersect then their intersection is two points Sometimes true Always true

DA R 5 Write the equation of a circle in Quadrant IV of the coordinate plane that is tangent to the x and y axes and has a radius of 2 A x y 2 B x 2 2 y 2 4 C x 2 2 y 2 4 D x 2 2 y 2 2

Mana TRETIE SUR UN GRAZI ALDY 7402 2 2234 ECOVERHE 16206283013 1302200 TEPEDEELCHE BEBERUNAT EFTING ACTESS Preces MALEREIMER 77216 87 interquartile range CADET RUSTRATIO VERSETTERAN median population mean third quartile Q3 ol below

Build a Venn diagram Use the names of the sets to label the regions Place the numbers in the correct regions Names of the sets Integers Irrational numbers Rational numbers Whole numbers Numbers

An automobile crash investigator measured the skid marks of one of the vehicles involved in a crash The length of the skid marks was 110 feet Use the formula s 24d where s is the speed of the vehicle in miles per hour before the brakes were applied and d is the length of the skid marks in feet to find the speed of the vehicle before it started braking Round your answer to the nearest tenth miles per hour Answer

For each part below estimate the numbe Write your answer as a single digit times a In a recent census the populatio 81 360 000 Estimate using scientific nota

Q is the midpoint of the line segment PR in the truss rafter shown in the figure What are the lengths of the line segment PQ QS and RS Let x 8 and y 12 Round your answer to one decimal place PQ QS RS R

To approximate the length of a marsh a surveyor walks x 400 meters from point A to point B Then the surveyor turns 75 ar walks 220 meters to point C see figure Approximate the length AC of the marsh Round your answer to one decimal place m CO 220 m 75 x m

1 Mark is building a ramp for his model cars The ramp height of the ramp is 5 inches and the base of the ramp s 18 inches long How long is the run of the ramp

What fraction of the figure is shaded dark 0 8 X

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

pring 2023 Sp23 MATH 1106 90 Tri ints DETAILS 1 0 0 5 graphing device to draw the curve represented by the parametric equations x sin 4t y cos 3t y 1 0 0 5 G 05 W Assignment 10 Parametric Equations Trigonometr 0 5 10 Homepage N ical College Apple X webassign net 10 0 5 y 1 0 0 5 0 5 H

13 Sp23 MATH 1106 90 Tri DETAILS Homepage N ica W Assignment 10 Parametric Equations Trigonome ametric equations is given cos t Sketch the curve represented by the parametric equations y y sin t 0 t 2 1 5 1 0

A coin is tossed 10 times How many possible outcomes are there with exactly 4 heads

The length of a rectangle is 5 times the width If the length and width are both increased by 2 the new area would be 85 What is the original area

Suppose you transform a square by increasing one side by 4 units and decreasing the other side by 2 units If the area of the resulting rectangle equals 16 how many units long was the side of the original square

Thirty five less than the square of a number is the same as 2 times the number Find the number There are two possible solutions to this question Enter either answer

Bob is at a friend s house and wants to run home His friend lives 12 miles away from his home Use the position time graph below to help answer the following questions Distance miles 07 10 What time interval s is Bob getting closer to home 0 3 14 12 10 5 15 03 5 10 8 5 7 10 10 5 Time hours 12 13 14 15

7 Nathaniel proves that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment His proof is shown below Given BP is the perpendicular bisector of AC Prove AQ CQ A Statements ZOPA ZQPC PQ PQ Q BP is the perpendicular bisector of AC PA PC APAQ APCQ 40 00 P C Reasons Given Definition of perpendicular bisector Right angles are congruent Reflexive Property of Congruence Corresponding parts of congruent triangles are congruent