Tutors Answer Your Questions about test (FREE)
Question 202324: Open-top box. Thomas is going to make an open-top box
by cutting equal squares from the four corners of an
11 inch by 14 inch sheet of cardboard and folding up the
sides. If the area of the base is to be 80 square inches, then
what size square should be cut from each corner?
Click here to see answer by solver91311(24713)   |
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(24713) |
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(16322) |
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(3758) |
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(24713) |
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(24713) |
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(3758) |
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(69443)  |
Question 205370: 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 !!!!!!!!!!!!!!!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 205506: Probability -- Help! Is this an independent event problem or conditional probability; I am confused, please help.
************************
Eleven cards are marked with the numbers 1 - 11, shuffled, and 4 cards are then drawn.
a) How many different 4-card hands are possible?
b) How many different 4-card hands contain a number less than 7?
Thanks!
Click here to see answer by Targetweek(62) |
Question 205644: plz help me find this answer.
A car travels a 750 km journey at an average speed of x km/h. If it had increased its speed by 18 km/h, the journey would have been 125 minutes shorter. Form an equation in x and show that it reduces to x²+ 18x= 6480. Solve this equation to find the value of x. Hence find the time taken when the car travels at x km/h.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 205642: A plan of a shopping complex is drawn to a scale of 1 cm to 5 m. Express the scale of the plan in the form 1: n . Find the perimeter and area of a rectangular shop space which measures 2.4cm by 4cm on the plan.
Click here to see answer by Alan3354(69443) |
Question 205696: There is a cross section of a clear spherical container with some fruit juice in it. The radius of the sphere is 18cm and the perpendicular distance from the centre of the sphere to the surface of the fruit juice is 9cm, calculate the diameter of the surface of the fruit juice in the sphere.
Click here to see answer by RAY100(1637) |
Question 205692: A manufacturer sells to a wholesaler at a profit of 20%, the wholesale price to a shopkeeper is at profit of 10% and the shopkeeper retails his goods at a profit of 12.5%. Find
i) The wholesale price of goods which cost the manufacturer $90.
ii) The cost to the manufacturer for goods sold in the shop for $1485.
Click here to see answer by rfer(16322) |
Question 205688: John, Bala and Hamid shared a sum of money in the ratio 2 : 3 : 11.
i) If Bala received $ 2.50 more than John, how much is the sum of money?
ii) Hamid gave $5 to John. Find the ratio of Johns share to Bala’s share.
Click here to see answer by stanbon(75887) |
Question 205684: A car travels a 750 km journey at average speed of x km/h. If it had increased its speed by 18 km/h, the journey would have been 125 minutes shorter. Form an equation in x and show that it reduces to x²+ 18x= 6480. Solve this equation to find the value of x. Hence find the time taken when the car travels at x km/h.
Click here to see answer by RAY100(1637) |
Question 205869: A straight line L passes though the point (0, -1) and is parallel to the straight line y=3x+1.
i. Write down the equation of the straight line L.
ii. Given that L passes through the point (2,b) find the value of b.
Click here to see answer by Alan3354(69443) |
Question 205869: A straight line L passes though the point (0, -1) and is parallel to the straight line y=3x+1.
i. Write down the equation of the straight line L.
ii. Given that L passes through the point (2,b) find the value of b.
Click here to see answer by RAY100(1637) |
Question 205871: A car travels a 750 km journey at average speed of x km/h. If it had increased its speed by 18 km/h, the journey would have been 125 minutes shorter. Form an equation in x and show that it reduces to x²+ 18x= 6480. Solve this equation to find the value of x. Hence find the time taken when the car travels at x km/h.
Click here to see answer by RAY100(1637) |
Question 205892: A cyclist travels 80km from Paris to Louvre at an average speed of x km/h. Find the time taken in term of x. On his return journey from Louvre to Paris, he decreases his average speed by 3km/h. Find the time taken on the return journey in terms of x. If the difference between the times is one hour 20 minutes, find the value of x.
Click here to see answer by Alan3354(69443) |
Question 205971: A cyclist travels 80km from Paris to Louvre at an average speed of x km/h. Find the time taken in term of x. On his return journey from Louvre to Paris, he decreases his average speed by 3km/h. Find the time taken on the return journey in terms of x. If the difference between the times is one hour 20 minutes, find the value of x.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 204562: Hi there, I have an exam today and I was doing a practise exam where I came across this Polynomial and rational functions question and was unable to solve it. Could one of the tutors please help me with it, I'd be more than grateful!!!!
Find the remainder:(x^4 - 2x^2 + 5 - 2)/(x - 3). (2 marks)
Click here to see answer by mickclns(59) |
Question 207010: A car gets 30 miles to the gallon of gas on the highway and 20 miles to the gallon for local driving. In the first week of October, the car was driven 180 miles on the highway, if the car's average gas mileage for that week was 26 miles to the gallon how many miles of local driving was the car used for that week?
Click here to see answer by checkley77(12844) |
Question 207010: A car gets 30 miles to the gallon of gas on the highway and 20 miles to the gallon for local driving. In the first week of October, the car was driven 180 miles on the highway, if the car's average gas mileage for that week was 26 miles to the gallon how many miles of local driving was the car used for that week?
Click here to see answer by MathTherapy(10549)  |
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