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Question 1209538: The top of a cone of height 10cm and base radius 7cm is cut off by a plane parallel to the base. If the distance between the plane and the base is 3cm, calculate the volume of the remaining object. [Take π = 22/7]
Click here to see answer by CPhill(1959)   |
Question 1209538: The top of a cone of height 10cm and base radius 7cm is cut off by a plane parallel to the base. If the distance between the plane and the base is 3cm, calculate the volume of the remaining object. [Take π = 22/7]
Click here to see answer by ikleyn(52747)  |
Question 1186677: A very large tank initially contains 100L of pure water. Starting at time t=0 a solution with a salt concentration of 0.5kg/L is added at a rate of 6L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 4L/min. Answer the following questions.
1. Let y(t) be the amount of salt (in kilograms) in the tank after t minutes. What differential equation does y satisfy? Use the variable y for y(t).
Answer (in kilograms per minute): dydt=
2. How much salt is in the tank after 20 minutes?
Answer (in kilograms):
Click here to see answer by CPhill(1959) |
Question 1209540: A total of 90 students selected from some schools for Science and Math quiz were asked to indicate the meal they prefer: Banku, Rice and Fufu. The results showed that 63 liked Banku(B), 55 liked Rice(R) and 50 Fufu(F). 13 liked Banku only, 8 Rice only, 5 Fufu only and 22 liked all three meals.
(a) Draw a Venn diagram to illustrate information.
(b) Find the number of students who liked:
(i) Banku and Rice
(ii) only two of the meals
(iii) none of the three meals
Click here to see answer by math_tutor2020(3816) |
Question 1186510: A taho vendor carries a 1.5 m long light plank over his shoulder. At the ends of the plank are two buckets weighing 40.0 N and 60.0 N, respectively. (a) Find the value of force F exerted by his shoulder. Neglect the weight of the plank. (b) Where should he support the plank for it to be balanced horizontally?
Click here to see answer by CPhill(1959) |
Question 1209558: a) If 7^sin²x - 7^cos²x = 8
find the value of x.
b) Let m be a given real number, Find all complex numbers x such that,
([x/(x+1)]² + [x/(x-1)]² = m² + m
c) ab = ½, bc = ⅓, ac = 1/6,
find (1/a²) + (1/b²) + (1/c²)
d) 2^x - 3^y = 5
2^(x+2) + 3^(y+2) = 59.
find xy
e) find m,
9^4^m = 4^9^m
f) (7^log₈x)×(x^log₉x) = 3969,
find x.
Click here to see answer by CPhill(1959) |
Question 1209558: a) If 7^sin²x - 7^cos²x = 8
find the value of x.
b) Let m be a given real number, Find all complex numbers x such that,
([x/(x+1)]² + [x/(x-1)]² = m² + m
c) ab = ½, bc = ⅓, ac = 1/6,
find (1/a²) + (1/b²) + (1/c²)
d) 2^x - 3^y = 5
2^(x+2) + 3^(y+2) = 59.
find xy
e) find m,
9^4^m = 4^9^m
f) (7^log₈x)×(x^log₉x) = 3969,
find x.
Click here to see answer by ikleyn(52747) |
Question 1209574: A school teams contain 68 students 33 do field events 40 do track events 23 do swimming 14 do both field and track events 8 do both swimming and field events. If 15 students do field event only and 10 do both swimming and track events how many students do
1. Swimming only
2. Track events only
3. All three events
Solve with venn diagram
Click here to see answer by ikleyn(52747) |
Question 1209574: A school teams contain 68 students 33 do field events 40 do track events 23 do swimming 14 do both field and track events 8 do both swimming and field events. If 15 students do field event only and 10 do both swimming and track events how many students do
1. Swimming only
2. Track events only
3. All three events
Solve with venn diagram
Click here to see answer by math_tutor2020(3816) |
Question 1181537: The average monthly income of the employees of fashion head incorporated was computed to be equal to 5,500 with a standard deviation of 550. There are 900 employees in that company. Assume the normality of distribution. How many employees receiving a monthly income of above 5,500?
Click here to see answer by ikleyn(52747) |
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