Within your family, find an example of a Universal set and at least 3 subsets of that universal set. Describe each sets with the roster method. What relationships exist between the subsets? (Find the union and intersection of the sets. Are any of the sets disjoint?) Represent the sets in a Venn diagram.

A toy racecar races along a circular race track that has a radius of 29 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.55 radians since it started moving.

The racecar is how many radius lengths to the right of the center of the race track?

radius lengths   

The racecar is how many meters to the right of the center of the race track?

meters   

The racecar is how many radius lengths above the center of the race track?

radius lengths   

The racecar is how many meters above the center of the race track?

meterss   

Two

thousand

tickets

were

sold

for

entry

to

the

Heritage

Village

,

generating

$

19

,

700

.

The

prices

of

the

tickets

were

$

5

for

children

,

$

10

for

local

adults

,

and

$

12

for

foreign

adults

.

There

were

100

more

tickets

foreign

adults

sold

than

for

local

adult

s

a

.

Derive

a

system

of

three

equations

showing

the

information

given

.

b

.

Use

퐂퐫퐚퐦퐞퐫

′

퐬

퐑퐮퐥퐞

to

find

the

number

of

each

type

of

tick

For the following, give constructions using a straightedge and a compass with memory. You must prove that your construction works.

We say that a positive real number a is constructible if whenever we are given a line segment of length c , we can construct a line segment of length ac . Suppose that a and b are constructible real numbers. Show that ab is also constructible.

The cost of a can of Coca Cola in 1960 was $ 0.10 . The exponential function that models the cost of a Coca Cola by year is given below, where t is the number of years since 1960 . C ( t ) = 0.10 e^0.0576t Find the expected cost of a can of Coca Cola in 1990 , 2000 , 2015 and 2040 (rounded to the nearest cent). They expected the cost of Coca Cola to be $-------- in 1990 , $ --------in 2000 , $-------- in 2015 , and $ -------in 2040 .

The Shroud of Turin is a religious artifact, claimed by some to be the burial cloth of Jesus of Nazareth. The first historical references to the Turin Shroud date from the mid-1300s AD. A team of scientists was permitted to use Carbon-14 dating to estimate the date of the creation of the Turin Shroud in 1988 AD. Analyses found that the amount of Carbon-14 in the shroud was 91.88% of what would be found in a living flax plant, the plant used to make the linen for the Turin Shroud. Carbon-14 is only absorbed while a plant is living, so the linen in the Turin Shroud had 100% of its Carbon-14 at the time the shroud was made. The half-life of Carbon-14 is 5730 years.

(a)Find a model R(t) for the proportion of Carbon-14 remaining in the Turin Shroud as a function of time t in years since the Turin Shroud was created.

(b) (10 points) If the Turin Shroud dated from 33 AD1, what proportion of the initial Carbon-14 would the shroud still have in 1988 AD? You do not need to simplify your answer.

(c) (10 points) Determine an estimate for the year the Turin Shroud was created using the proportion of Carbon-14 remaining in 1988 AD. Simplify your answer and give the year in terms of the Gregorian calendar, e.g. AD or BC. 1The accepted date for the death of Jesus of Nazareth.

1a.    How has Sarbanes-Oxley of 2002 affected FASB’s jurisdiction and independence?

1b.    Is it possible that the rules of internal controls in Sarbanes-Oxley of 2002 are making firms excessively risk-averse? If so, how?

The goal is to evaluate three classifiers intending to identify gender (male/female) given the height and weight. The evaluation is to be based on the following dataset:

The three classifiers to be evaluated are:
C1: Anyone with height over 150cm is male; all others are female
C2: Everyone is male
C3: Classify using a 1-nearest neighbor classifier trained on the following dataset:

Calculate the following metrics for the classifiers:
-Accuracy
-Error rate
-Precision of identifying males
-Recall of identifying males
-F1-score of identifying males

Complete the following table with your answers.

The​ U-Drive Rent-A-Truck company plans to spend ​$8 million on 280 new vehicles. Each commercial van will cost ​$25 comma 000​, each small truck ​$30 comma 000​, and each large truck  ​$40 comma 000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they​ buy? They can buy nothing ​vans, nothing small​ trucks, and nothing large trucks.

Can you demonstrate the Guass Jordan method for solving this?

The Candy Town Company, a competitor of the SweetTooth Candy Company, knows it will need 40,000 lbs of sugar six months from now to implement its production plans. James Taffy, Candy Town's purchasing manager, has essentially two options for acquiring the needed sugar. One option is to buy the sugar at the going market price when they need it, six months from now. Mr. Taffy has assessed the probability distribution for the possible prices of sugar six months from now (in dollars per pound) as shown below:

Price in 6-month   Probability

    $0.078            0.10
     0.086    0.20
     0.094    0.20
     0.102    0.20
     0.110    0.20
     0.118    0.10    

The second purchasing option is to buy a futures contract now. The contract guarantees delivery of the sugar in six months but the cost of purchasing it will be based on today's market price. Assume that possible sugar futures contracts available for purchase are for 10,000 lbs, 20,000 lbs or 40,000 lbs only. No futures contracts can be purchased or sold in the intervening months. The Candy Town Company will buy the total of 40,000 lbs of sugar in one way or another. The price of sugar now is $0.0851 per pound. The transaction costs for 10,000 lbs, 20,000 lbs and 40,000 lbs futures contracts are $150, $200, and $350, respectively.

(You may choose one answer more than once.)

Question 1 options:

You begin saving for retirement at age 25, and you plan to retire at age 60. You want to deposit a certain amount each month into an account that pays an APR of 3% compounded monthly. Make a table that shows the amount you must deposit each month in terms of the nest egg you desire to have when you retire. (Round your answers to the nearest cent.)

A normal distribution has a mean of 15 and a standard deviation of 4 . Use the? 68-95-99.7 rule to find the percentage of values in the distribution between 15 and 23 .

45. If the area model for a triangle is A = 1/2 bh, find the area of a triangle with a height of 16 in. and a base of 11 in.? the answer should be A=88 in.squier

43. Using the formula in the previous exercise, find the distance that Susan travels if she is moving at a rate of 60 mi/h for 6.75 h.? the answer should be 405 mi

47. Use the formula from the previous question to find the height to the nearest tenth of a triangle with a base of 15 and an area of 215.? the answer should be 28.7

53. The formula for the circumference of a circle is C = 2πr. Find the circumference of a circle with a diameter of 12 in. (diameter = 2r). Use the symbol π in your final answer.? the answer should be C=12π

divide with steps

7.4 / 19.4 ?

find the difference between the sum of the first 900 multiples of three and the sum pf the first 900 multiples of four