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Tutors Answer Your Questions about test (FREE)
Question 197769: 1. (3 points ) Answer Yes or No for each question
- If A B and B C, can you conclude that A C? Can you conclude that A C?
- If A B and B C, can you conclude that A C? Can you conclude that A C?
- If A B and B C, can you conclude that A C? Can you conclude that A C?
2. (4 points) Write down all possible subsets of {x, y, z}
3. (2 points) Without writing them down, what are the number of subsets of the set A = {a, b, c, d, e}? Of set B = {a, b, c, d, e, f, g, h, i}?
4. (7 pts) Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}. List the elements of set
(a) A U B
(b) A ∩ B
(c) A′ ∩ B′
(d) A′ U B′
(e) A U B′
(f) (A U B′) ∩ B
(g) (A U B) ∩ (A U B′)
5. (2 points) Write the following in roster form: Set N is the set of natural numbers between two and nine.
N={2,3,4,5,6,7,8,9}}
6. (2 points) State whether set A and B are equal, equivalent, both, or neither.
A = {9, 8, 7} B = {8, 9, 10}
7. (2 points) Express the following in set-builder notation: M = {3, 4, 5, 6, 7}
8. (8 pts) A drug company is considering manufacturing a new product that has two different flavors, orange and cherry. They surveyed 150 people. The results are as follows:
75 liked cherry flavor
94 liked orange flavor
22 liked both flavors.
Construct a Venn diagram and answer the following:
a) How many liked only orange flavor?
b) How many liked only cherry flavor?
c) How many liked either one or the other or both?
d) How many liked neither?
9. (10 pts) In a survey of 75 resorts, it was reported that:
45 provided refrigerators in the guest rooms
37 provided laundry services
44 provided business centers
23 provided refrigerators in the guest rooms and laundry services
29 provided refrigerators in the guest rooms and business centers
21 provided laundry services and business centers
12 provided all three features
Construct a Venn diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?
Click here to see answer by solver91311(5072)   |
Question 198044: Please help me solve this problem.
When Bobby walks to school in the morning he walks 6 blocks north to pick up Carrie, then 10 blocks west to Andy's house. From Andy's they walk 4 blocks north to school. There is also a direct path that Bobby could take from his house to school if he went alone. How many fewer blocks would he have to walk if he walked to school alone?
Click here to see answer by arallie(162)  |
Question 198647: A cylindrical pond has a 12 ft diameter, and the water in the pond is 4 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond? Use 3.14
Click here to see answer by edjones(3298)  |
Question 194959: The owner of a sidewalk expresso stand that the weekly profit for their business is a function of the price they charge per cup. If x equals the price(in dollars) of one cup, the weekly profit is given by P(x) = -2900x^2+7250x -2900.
Approximate the maximum profit and the price per cup that produces that profit
Click here to see answer by josmiceli(3012) |
Question 202007: Hi there, could someone please help me with the following Advanced Functions problem worth 10 marks?
a)Determine the slope of the tangent to y=1/(1-x) at the point (2,-1) without constructing a table. Explain what you are doing.
b)Determine the general equation of the secant from any point (A,f(A)) to the point on f(x)=4x where x=2. Describe how you would use this to find the equation of the tangent at the point (2,f(2)).
Click here to see answer by RAY100(1637) |
Question 202481: ) In a survey of 75 resorts, it was reported that:
45 provided refrigerators in the guest rooms
37 provided laundry services
44 provided business centers
23 provided refrigerators in the guest rooms and laundry services
29 provided refrigerators in the guest rooms and business centers
21 provided laundry services and business centers
12 provided all three features
Construct a Venn diagram and use it to answer the following questions:
(a) How many of the resorts provided only refrigerators in the guest rooms?
(b) How many of the resorts provided exactly one of the features?
(c) How many of the resorts provided at least one of the features?
(d) How many of the resorts provided exactly two of the features?
(e) How many of the resorts provided none of the features?
Click here to see answer by solver91311(5072) |
Question 202674: In a survey of 100 consumers, 33 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 34 said they were going to buy a new washer. Of these, 7 were going to buy both a car and a refrigerator, 15 were going to buy a car and a washer, and 9 were going to buy a washer and a refrigerator. Three consumers indicated that they were going to buy all three items.
Construct a Venn diagram, label your diagram clearly.
Use your diagram to answer the following questions:
(a) How many were going to buy only a car?
(b) How many were going to buy only a washer?
(c) How many were going to buy only a refrigerator
(d) How many were going to buy a car and a washer but not a refrigerator?
(e) How many were going to buy none of these items?
Click here to see answer by rfer(2688) |
Question 202720: Im am just totally confused on this quest :
Write an equation in point-slope form for the line through the given point with the given slope. (4,-6);m=3/5
if you could please give me the solution and also how to do it i would be greatful
Click here to see answer by jsmallt9(594) |
Question 202867: One of the tutors pleaseeee pleaseee help me with the following Advanced Functions question. I would be greatly thankful.
Given the functions f(x)=3^x, g(x)=x+2, and h(x)=2x-3, what composition of functions would result in each of the following?(3 marks:1 mark each)
a)y=(2)*(3^x+2)-(3)
b)y=3^2x+1
c)y=(1/27)*(3^2x)+(2)
Click here to see answer by RAY100(1637) |
Question 202884: Could one of the Calculus tutors please help me with the following Advanced Calculus question. PLEASEE!!!!
A stunt diver leaps off a bridge 50m above a river with an initial upward velocity of 10m/s. Her altitude is given by h= (-5t^2+10t+50, where t is in seconds and h is in metres.
a)Construct a table of values to illustrate her height in 1-second intervals until she hits the water.(2 marks)
b)What does a negative value for height represent?(1 mark)
c)Construct a table showing her velocity during 1-second intervals starting at time 0.(2 marks)
d)When does her velocity change from positive to negative?(1 mark)
e)What does this change represent?(1 mark)
f)When does she hit the water?(1 mark)
g)What is her average velocity in the half-second before she hits the river?(1 mark)
h)Why is her average velocity from t=0 to t=2 equal to 0?(1 mark)
Click here to see answer by dyakobovitch(40) |
Question 202865: Pleaseee help me with the following Advanced Functions Question, the help will be very highly appreciated.
Given the function y=2cos(3x)+1, determine the three functions f(x), g(x), and h(x) so that f(g(h(x)))=2cos(3x)+1.(3 marks)
Click here to see answer by RAY100(1637) |
Question 202891: Let p, q, and r be the following statements:
p: It is raining.
q: The clouds are dark.
r: The temperature is dropping.
Translate the following statements into English
(a) p upside down v r (b) ~p upsidedown v (q v r)
(c) q arrow r (d) (~ rupside down v~ q) arrow ~ p
Click here to see answer by solver91311(5072) |
Question 203167: Hi,
Need some help on this question. It's a practice test question and I'm a bit confused.
Graph the following system and solve the linear programming problem:
Maximize: P=7x+10y
subject to: {2x+5y<=80
{4x+3y<=104
x>=0; y>=0
Thank you!
Click here to see answer by solver91311(5072) |
Question 203105: Hi there, could someone please help me with this Advanced Calculus, Mathematical Modelling question as I have no idea how to solve it. Going through examples havent helped me at all.
Question: Find the regions where sinx ≤ x.(3 marks)
Click here to see answer by jsmallt9(594) |
Question 204092: Planets A, B, and C orbit a certain star once every 3, 7, and 18 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again?
Click here to see answer by Alan3354(6092)  |
Question 205370This question is from textbook algebra 1 an integrated approach
: this isnt a test its just that i couldnt find the category for consecutive integers. Please help me with my homework i didnt get it at all! here is the question
In a kennel a cocker spaniel, bulldog,and a greyhound all give birth to litters. the number of pups in the litters are consecutive integers( in the order: cocker spaniel, bulldog, and greyhound.) the first integer increased by twice the second exceeds the third by 10. how many puppies does each dog have? use the five step method.
i really hope u can help me thank you !!!!!!!!!!!!!!!
This question is from textbook algebra 1 an integrated approach
Click here to see answer by ankor@dixie-net.com(6693)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890
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