Basic Math Questions and Answers

Write the complex number z 3 3i in trigonometric form sometimes called polar form Express the angle 0 in radians where 0 0 2 Z cos i sin J OC 8

Plot the complex numbers 2 i and 2 8i in the complex plane 8 7 8 th 9 Im 3 4 6 Re X 3

Plot the points with polar coordinates 516 7x 6 3x 5m 2 REN is 4 SR and 6 37 6 2 tex R 43 RUT 7 96 Jix 6 X using the pencil 5

Use THIS JAMBOARD and submit the link to answer 8 Use the circle below to sketch and label the center of 9 What must be true about the triangle drawn in the circle K Then draw AKLM such that LM is chord and the KL and KM are radii problem 8 540 C ALT FN F10 Mac

nd the rectangular equation of the curve given by the parametric equations below en graph the curve and show its orientation x 4 cost y 5 sint 0 t 2 Rectangular equation 5 olo 0 0 S 6

The arch of the bridge below is half an ellipse a semi ellipse As shown in the figure below the arch is 148 m long and has a height of 48 m at the center The point p is located 10 m from the center Find the height of the arch above point p Round your answer to the nearest hundredth Do not round any intermediate computations 48 m 10 m D center 148 m P X

The equations of two conics are given below Choose the correct classification for each and then provide the requested information 2 a 5x 5y 20x 20y 20 0 b 2 2 9x y 54x 2y 73 0 Choose one Choose one Parabola Circle Ellipse Hynorhola X

Find an equation of the parabola with focus 0 7 and directrix y 9 0 0 0

17 If mLCDA A 140 B 220 A 110 what is the mAD C 70 D 250 A

Chord Arc Perpendicular Radius Diameter 1 Match the object to the term that best fits b LCBD a LFAD 1 Central Angle 3 Inscribed Angle 5 Semicircle Central Angle Minor Arc Inscribed Angle Major Arc Inscribed Supplementary Tangent Center Conjecture Semicircle Half Circle c BCD 2 Minor Arc 4 Major Arc 6 Half Circle Secant Scalene Isosceles Equilateral ORight B d BF The triangle can be classified as because e BCF D 1 arc BF II arc BCF III CBD IV arc BCD V FAD

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

10 Given GS is tangent to circle A and mGT 90 If the center A of the circle is outside AGOS what is true about m GSO A It is less than 45 degrees B It equals 45 degrees O O O O OA ABCD B OD C It is greater than 45 degrees D Cannot be determined 4

0000 R 6 X S 8 W 20 If RX 6 units and XW 8 units what is the length of RS Round to the nearest tenth A 8 5 B 8 8 C 9 1 D 10 5

21 AB and AE are tangent to circle C What is the length of GA OA ABCD B C OD A 34 B 25 C 20 D 18 Click Save and Submit to save and submit Click Save All Answers to save all answers 24 C H 9 B 7 C D

12 What is the length of PM A 2 B 4 0000 A B O C D d o M C 2 5 D 3 Given NO 3 OP 5 LM 6

11 Chords BC and DE are drawn to circle A with BC parallel to DE Which statement is not necessarily true E mLBHF BF CE F LBHF LDEF G LDEFLCBG H FH HE BH HC O O O O OE OF CH G H D B K A H C E

O O O O 14 What is the length of the diameter of circle E A 6 B 36 C C 9 D 12 E G D

16 If mBED 88 which of the following is true E m BAD 88 G F mLCBA 88 H OE OF G L m BAC 88 mLACB 88

Practice For Help 1 Let a denote the nth term of a geometric sequence Let a 26 and an 1 0 2an Write an explicit formula for this sequence Expomark f x abx Time Intial Chang e Value Factor To the nearest whole number what is the sum of the first 25 terms S a Snittal Velos 1 b 1 b Time an changa Factor 1 1

equation of a line Parallel to y 2 times 1 passing through the point 2 4

of squares can be inscribed as shown in the diagram so that each successively smaller square has one half the area of the previous as an area of 64square feet Let the first inscribed square be square 1 the second be square 2 and so on a Which expression represents the area of the 12th square O 64 2 64 2 12 0 O 64 12 b Which function A represents the area of the nth square where n represents the total number of O A n 64 n O A n 64n n O A n 64n 1 n O A n 64 1

ided Practice Given the function r x 2 1 0 35 e Work 1 0 35 f t p 1 r Rate of Growth Decay Initial Value Percent rate of change Exponent time What does a negative exponent mean Is the function increasing or decreasing The percent rate of change is The function is an example of exponential

ice Help John is considering investing money in a certificate of deposit CD that offers an annual interest rate of 3 2 compounded monthly Let P represent the initial amount in dollars that John will invest Which expression represents the amount of money in the account after t years A P 1 032 2t B P 1 026 12t C P 1 0026 12t D P 1 26 121 f t p 1 r Initial Rate of Value Growth Decay Expenent time Monthly to annually divide by 12 John decides to invest 3 000 in the CD How much will the investment be worth in 6 years

Practice For Help RA A bank account starts with 13 00 The amount in the account triples every year Write a function to express th total amount of money A t in the account after t years After how many years will the account have 3 159 00 f x abx Xxponent Mme Thitisl Chang Value Factor

Practice or Help 14228 Consider the function f x log x 3 What is the Domain x intercept uobo

Vrite an equation for a line parallel to y 3x 3 and passing through the point 3 7 V

A jar contains an equal number of pennies nickels and dimes The total value of the coins is 160 cents How many pennies does the jar contained 09 O 12 O 10 013

Use the formula Distance rate time If Roscoe drives 350 miles at a constant speed of 70 mph how long will it take Be sure to include units Answer number then units 5

The admission fee at an amusement park is 3 75 for children and 5 40 for adults On a certain day 302 people entered the park and the admission fees collected totaled 1413 How many children and how many adults were admitted O The number of children is 170 and the number of adults is 132 O The number of children is 134 and the number of adults is 165 O The number of children is 132 and the number of adults is 170 the number of children is 165 and the number of adults is 134

Which of the following is a factor of the expression 2x 1x 15 O x 3 O x 5 x 5 O 2x 3

1 Select the correct answer from the drop down menu Which are the two alternatives for pasting copied data in a target cell or a group of cells You can right click the target cell or cells and then select the option or press the Reset Next Okeys to paste the copied data

9 1 point Determine the value of the function x 5 x when x 4 a 1 b 1 c 3 d 3

3 1 point Which relation will pass the vertical line test a x2 y2 25 c b y 4 x d 3x2 5y 18 y 6 2x 4

10 1 point Given the equation f x 6x 2 and f x 26 find x C 26 d 4 6

2 1 point Which graph represents a relation that is NOT a function a C b N N 6 d N 41 N q Y 2 4

Problem 3 10 Prove the identities a cos x sinx tan x secx b cscx cotx secx 1 cot

Question 40 year old places a continuous stream of 7 000 per year into a retirement account which has a continuously Ompounding interest rate of 1 4 What will be the value of this continuous stream when this person retires at age 65 ound your answer to the nearest integer Do not include a dollar sign or commas in your answer

Determine the pressure differe and point d if A is water B is mercury Gs 13 6 h 16 3cm Liquid A Liquid B Answer a 1 Choose Pa kPa Choose

Mike purchases a new jet ski at 7 200 After researching online he discovers that his new jet ski will depreciate by 4 5 each year Write a value formula V to show the depreciation of Mike s jet ski after t years V

nd the area of the right triangle 1 unit U Area square units X

x 6 sint y 6 cost for t in 0 2 Choose the correct graph below A Ay 10 HIER HA 10 10 10 Q Q The equivalent rectangular equation is Simplify your answers for x over the interval OB 10 10 10 10 Q O O C 10 HHHH HH MD 10 11 10 10 HE Q O D 10 Ay 10 10 10 Q

Determine length CE for the similar triangles shown in Figure 1 10 m B C 16 m E 25 m

Find the z score satisfying the given condition 8 of the total area is to the left of z Click here for page 1 of the Areas under the Normal Curve Table Click here for page 2 of the Areas under the Normal Curve Table Z Round to two decimal places as needed

Find the percentage of area under a normal curve between the mean and the given number of standard deviations From the mean 1 82

Find the percentage of the area under a normal curve between the mean and the given number of standar deviations from the mean 0 54

A conical trough has a radius of 2 feet and a height of 8 feet It is filled with a liquid that weighs 24 pounds per cubic foot and the depth of that liquid is 6 feet Find the amount of work in foot pounds required to empty the trough by pumping the water over the top 27

A pipeline is to be constructed from an island that is 4km from the shore to a town that is 10km north of the island along the shoreline Find the minimum cost if it cost 6000 km to lay pipe in the water and 4000 km to lay pipe on land

Write the fraction multiplication problem shown by each area model a 0 Mix Nin min Nin min b 3 03 01 1 20 041 03 0 04 04 20

DETAILS Use prime factorization to find the GCF of each pair of whole numbers a 4 14 b d LARMPMT1 5 3 003 e 3 16 6 12 15 39 24 36 250 300

Every 4 hours your body removes 30 of a certain drug If you have an initial dose of 120 mg now many mg will remain in x hours Find how much will remain in 24 hours