Math - Others Questions

5 Evaluate express final answer in scientific notation 126904761 9048 0 41 x 0 00000063

0 11 In 2000 a sample of a radioactive substance had a mass of 900 milligrams Since then the sample has decayed by 2 8 each year Lett be the number of years since 2000 Let y be the mass of the substance in milligrams Write an exponential function showing the relationship between y and f 0 8 08 DO 0 0 0 0 11 1 12

There are 5 roses in a vase of 14 flowers The rest are daisies a What is the ratio of daisies to all flowers in the vase 0 b What is the ratio of daisies to roses 0 X

1 Evaluate express final answer in scientific notation 4 4 x 10 9 Answer

X not X b Subtract 1 P x 3 000 n 3 4 P X 3 00000 P not x 4 3 1 1 P X is the same as None of the above P X P not X 4 X 1 P not X None of the above c Select the answer that makes the sentence true S X X

2 0 3 4 A bag contains ten tiles labeled B C D E F G H I J and K One tile will be randomly picked What is the probability of picking a letter that is not a vowel Write your answer as a fraction 0 0 5 X 6

2 3 0 4 01 4 19 a Keiko is at a charity fundraiser and has a chance of receiving a gift The odds in favor of receiving a gift are a gift Dla 6 ola 5 13 What are the odds against the box having a b A child has a box of candy which might have a toy inside The probability of the box having a toy is toy 18 0 0 0 Find the probability of Keiko receiving to

9 Write the following in scientific notation 758 000 Answer x

a Kelko is at a charity fundraiser and has a chance of receiving a gift The odds in favor of receiving a gift are a gift 10 X 0 S b A child has a box of candy which might have a toy inside The probability of the box having a toy is What are the odds against the box having a 13 toy X DID 060 15 Find the probability of Kelko receiving S

3 4 0 When ordering the Kids Lunch at Burger Universe the customer must choose a size whether or not to have cheese a type of bun a side order and a type of fruit drink Here are the possibilities for each choice Possibilities Choice Size Cheese Type of bun Side order Fruit drink How many Kids Lunches are possible 5 Small Medium Large With cheese Without cheese White bun Wheat bun Fries Onion rings Fruit cup Orange Grape Cherry Lemonade Mango X 6

1 2 0 3 4 5 A bag contains eleven balls labeled 1 through 11 One ball will be randomly picked What is the probability of picking a multiple of 3 Write your answer as a fraction 00 6

Using the information for Symbolic Electronics Inc presented in the table below determine the following 1 Lowest price paid for a share of the stock in the last 12 months 2 Highest price paid for a share of stock in the last 12 months 3 Percentage of change in the stock s price since the beginning of the year 7 Year to Date Change 52 Week Hi 52 Week Lo Dividend Yield Percentage 1 Lowest price paid 2 Highest price paid 3 Percentage of change pt 1 of Unlimited 1 56 EPS 53 88 PE Ratio 37 49 Volume 0 70 Close Price 1 51 Net Change O 0 X 1 81 25 67 1 460 000 46 46 0 85

Partially Correct Your answer is incorrect Profit on this stock transaction Your answer is incorrect During 2022 Jim Smith purchased 250 shares of common stock issued by Red Hot Food Processing for 4400 including commission Later in the same year JP sold the shares for 5000 after commission Calculate the following Round all answers to two decimal places 1 Profit on this stock transaction 2 Percentage return on investment 23 182 13 64

2 3 pizzas 4 5 7 8 9 10 11 Izzo s Pizza sells four types of pizza crust Last week the owner tracked the number sold of each type and this is what he found Type of Crust Number Sold Thin crust 315 Thick crust 248 Stuffed crust 150 Pan style 181 12 13 Based on this information of the next 2500 pizzas he sells how many should he expect to be thick crust Round your answer to the nearest whole number Do not round any intermediate calculations

5 6 7 8 9 10 11 12 13 A restaurant manager is listing 10 items on a menu Of these menu items 8 are appetizers and 2 are main courses All of the appetizers will be listed before both of the main courses In how many ways can the restaurant manager list the items 0

Given the graph of Gas Remaining vs Distance Traveled shown below determine a ay mx b form equation b the meaning of the slope m in the context of the situation including units c the number of miles that can be traveled with 10 gallons of gas remaining Gas Remaining L 20 O 50 100 150 250 300 350 400 450 500 550 600 Distance Traveled km

Fully simplify the following expression There should be no negative exponents in your answer Show your steps to demonstrate your understanding of exponent laws x6x 2 y 6 2 y 2 z

years 8 5 9 10 11 X 12 Suppose that 2000 is placed in a savings account at an annual rate of 2 9 compounded quarterly Assuming that no withdrawals are made how long will it take for the account to grow to 2500 Do not round any intermediate computations and round your answer to the nearest hundredth If necessary refer to the list of financial formulas 13 X C Hel

1 Dividend per share of preferred stock 2 Dividend per share of common stock 17 0 18 X 19 3 20 On April 1 2022 the board of directors of Overload Spring Company voted to distribute 4 880 000 to the firm s stockholders If the firm has issued 200 000 shares of 6 preferred stock with a par value of 10 and 2 030 000 shares of common stock outstanding calculate the following Round all answers to the nearest cent 21 22 23

13 X 14 piece is 15 0 16 17 18 19 20 21 22 23 7 a In a certain board game players spin a spinner to determine how many spaces they advance The odds in favor of advancing five spaces are Finc the probability of advancing five spaces 5 0 24 b Michael has a box of candies with different flavors He will randomly choose one piece of candy The probability that he chooses a strawberry flavored What are the odds against him choosing a strawberry flavored piece 11 14 8 0 0 to

Linda is filling a tank The graph shows the amount of water in liters in the tank versus time in minutes 800 720 640 560 480 Amount 400 of water liters 320 240 160 80 0 6 Time minutes 8 9 a Choose the statement that best describes how the time and amount of water are related Then fill in the blank O As time increases the amount of water in the tank decreases At what rate is the amount of water decreasing liters per minute liters per minute O As time increases the amount of water in the tank increases At what rate is the amount of water increasing 10

ities of draws with replacement A fair die is rolled 5 times What is the probability that a 2 is obtained on at least one of the rolls Round your answer to three decimal places 0 X S 0 5

Complete the following amortization table assuming monthly payments and an interest rate of 5 41 a compounded semi annually Payment Payment 0 1 2 3 4 2225 15 2225 15 2225 15 2225 15 Interest Portion Principal Portion Outstanding Balance 275000 00

Solve AABC if a 7 cm b 8 3 cm and c 9 2 cm

For the following equation determine the values of the missing entries Reduce all fractions to lowest terms y x 2x 1 Note Each column in the table represents an ordered pair If multiple solutions exist you only need to identify one Answer

O COUNTING AND PROBABILITY Probabilities of draws with replacement A fair die is rolled 5 times What is the probability of having no 1 and no 2 among the rolls Round your answer to three decimal places 0 X 0 0 5

Consider the following points 10 6 9 14 and 11 14 Step 2 of 2 What is the area of the triangle Hint Make use of the midpoint formula if the triangle is isosceles

Find the perimeter of the triangle whose vertices are 6 3 6 1 and 9 6 Write the exact answer Do not round

A tomato sauce company is shipping boxes containing 12 cans of their spaghetti sauce Each can is 9 cm in diameter and 9 cm tall Determine the surface area of the rectangular box that minimizes the amount of cardboard needed assume no overlaps

How many arrangements of 3 digits can be formed from the digits 0 through 9

Solve for a to 1 decimal place 10 ft 105 12 ft 40 X

Calculate the missing side lengths in the following triangle 42 Y 75

The Siddiqi family takes out a 25 year mortgage for 416000 with monthly payments at 4 59 a compounded semi annually At the end of their first 5 year term they renew their mortgage at 4 34 a compounded semi annually What is their outstanding balance when they renew

Your friend is starting a new job and they have to choose between two salary agreement options Both job start at 55000 in year 1 and with option A the yearly pay increases by 4000 year while option B is an annual increase of 7 each year a Complete each table of values b Classify each option as linear quadratic exponential or none of these and finally c Advise your friend as to which is the better option depending on their long term plans

Stonewall Exteriors is pouring concrete for a fountain they are installing They need concrete for the circular wall as well as the floor underneath both of which must be 5 in thick If the outer diameter of the pool is 20 ft and the walls are 50 cm high calculate the cost of the concrete if it can be delivered for 137 yd

Fill in the blanks in the following difference table X 2 1 0 1 2 y 5 13 7 11 6 6 6

Die 3 A 25000 loan is to be paid off over 5 years with bi weekly payments If the interest rate is 3 00 a compounded bi weekly calculate the total amount of interest paid to the bank

Calculate the area of the triangle shown to 1 decimal place Show all your steps 50 0 m 36 18

Which is the better investment option Justify your answer with appropriate calculations Investment A Invest 100 each month for 3 years at 3 16 a compounded monthly Investment B Invest 300 each quarter for 3 years at 3 25 a compounded quarterly 7 11

If Angela were to paint her living room alone it would take 5 hours Her sister Fran could do the job in 7 hours How many hours would it take them working together Express your answer as a fraction reduced to lowest terms if needed

Blinky s Beach Toy Emporium is selling novelty beach umbrellas with hilarious memes printed on the canopy The pricing scheme is given by C 0 35d 30 where C represents the cost and d represents the diameter in metres a Calculate the cost of an umbrella with a radius of 1 5 m b Calculate the radius of an umbrella that costs 50

Solve the following exponential equation using the common base method 8 4 6 32x

The value of Mr McLean s car is given by the equation V 8000 0 86 where n represents the numbe f years since it was purchased a As the car ages what percent of its value is lost each year b What will the car be worth 5 years after its purchase date c How long will it take for the car to lose 5000 of its value

Solve AABC if 7 cm b 7 cm b 8 3 cm and c 9 2 cm

The square based pyramid shown has a volume of 576 cm Determine the slant height x to 1 decimal place X

Rewrite the following expression as a fraction involving powers with only positive exponents then evaluate no decimals Show your steps 2 x 2 7 2 3 37

1 point Which of the following graphs are connected N M 0 N DA C I 0 P H L H D E K N B D C F 0 I B bl

1 point Consider the graph shown below G True A B C F Note that if you click on the graph it will display a larger version in a new window Determine whether each of the following statements about the graph is true or false 1 A C E B F E C G is a trail from A to G E D 2 A D C G F B E A is a cycle False 3 D C F G C is a closed walk 4 A C A C A C A C A C E is a walk from A to E

1 point Which of the following graphs are trees d f h A i a d e e B f b f

Officials begin to release water from a full man made lake at a rate that would empty the lake in 6 weeks but a river that can fill the lake in 15 weeks is replenishing the lake at the same time How many weeks does it take to empty the lake Express your answer as a fraction reduced to lowest terms if needed