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Question 1203893: Help me solve this,Two flat houses A and B of the same height are 1.6km apart.john stands at a point p 3 times far from flat house B as he is from A so that his actual distance from P to the top of B is 1.3km.Calculate the distance from point P to flat house A,and the height of the flat houses
Click here to see answer by greenestamps(13198)

Question 1203960: In a certain spider web, the lengths of the shortest and longest threads are 3.4mm and 50.2mm respectively. The successive equally spaced threads are 1.2mm apart. If the length of the cross threads form an Arithmetic Progression (A.P), find the number of cross threads.
Click here to see answer by mananth(16946)

Question 1204002: You can afford a $900 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
$

b) How much total money will you pay the loan company?
$

c) How much of that money is interest?
$
Click here to see answer by Theo(13342)

Question 1204006: Solve for x, using tables
log0.8621 (base 12)
Click here to see answer by Edwin McCravy(20054)

Question 1204039: The demand equation for the Drake GPS Navigator is
x + 4p − 463 = 0,
where x is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation
x − 15p + 1000 = 0,
where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.
Click here to see answer by ikleyn(52776)

Question 1204134: If y=x²+y²=2y, find dy/dx in terms of x and y. Prove that d²y/dx²=1/(1-y)³
Click here to see answer by ikleyn(52776)

Question 1204134: If y=x²+y²=2y, find dy/dx in terms of x and y. Prove that d²y/dx²=1/(1-y)³
Click here to see answer by Edwin McCravy(20054)

Question 1204134: If y=x²+y²=2y, find dy/dx in terms of x and y. Prove that d²y/dx²=1/(1-y)³
Click here to see answer by math_tutor2020(3816)

Question 1204153: EF is bisected by AC at D. Find AC if EF = 2x + 22, AC = 3x-5, and DE = 2x-4.
Click here to see answer by math_tutor2020(3816)

Question 1204153: EF is bisected by AC at D. Find AC if EF = 2x + 22, AC = 3x-5, and DE = 2x-4.
Click here to see answer by mananth(16946)

Question 1204162: Given that (x + y) ^ 2 - 3x + 2y = 0 , find;
i) dy/dx
ii) the value of (d²y)/(dx²) at point (0,0)
Click here to see answer by Edwin McCravy(20054)

Question 1204176: The sum of the digits of a two-digit number is 14. The tens digit is the square of a number which is 2 less than the units digit. Find the two-digit number.
Click here to see answer by mananth(16946)

Question 1204173: James walks a distance of 10 km at an average speed of x km/h. Jane walks the same distance at (x - 1) km/h. If the difference in their times is 30 minutes, find the value of x.
Click here to see answer by mananth(16946)

Question 1204174: The length of a rectangle is twice its width. If the width is reduced by 1 cm and the length is also reduced by 2 cm, the area will be 15cm².
Find the dimensions of the original rectangle.
Click here to see answer by Manan28IN(1)

Question 1204175: P can complete a task in x days while Q takes (x + 12) days to do the same task.
a) What fraction of the task can each of them complete in a day?
b) If both of them work together, they can
complete the task in 8 days. Find x.
Click here to see answer by Edwin McCravy(20054)

Question 1204196: The area of a rectangle is 54 cm². Its length and breadth are reduced by 5 cm and 2 cm, respectively, so as to become a square. Find
the length of a side of the square.

Click here to see answer by math_tutor2020(3816)

Question 1204198: The numerator of a fraction is 5 less than its denominator. If 6 is added to the numerator and 4 to the denominator, the fraction is doubled. What is the fraction?

Click here to see answer by mananth(16946)

Question 1204395: A jury pool consists of 35 people, 18 men and 17 women. Compute the probability that a randomly selected jury of 12 people is all male.

Click here to see answer by Edwin McCravy(20054)

Question 1204486: The illumination of a small object by a lamp varies directly as the candle-power of the lamp and inversely as the square of the distance between the lamp and the object. If a light-bulb of 8 candle-power, fixed 150 cm above a table, is replaced by a 5 candle-power bulb, how far must the new light be lowered to give the object the same illumination as before?
Click here to see answer by mananth(16946)

Question 1204497: A mass is suspended by a spring such that it hangs at rest 0.5 m above the ground. The mass is raised 40 cm and released at time t= 0 s, causing it to oscillate sinusoidally. If the mass returns to the high position every 1.2 s, determine the height of the mass above the ground at t= 0.7 s.
Click here to see answer by ikleyn(52776)

Question 1204502: a ferris wheel 24 m in diameter and boardered from a platform that is 1m above ground. people enter the loading platform which is at 1m. the wheel completes 1 revolution in 10mins. Use h(t) as height and t as time.
A.) Find the amplitude, median, and period.
B.) Make a cosine equation using h(t) to represent the situation.
C.) For how long during one cycle (period) was the height above 20m.
Click here to see answer by ikleyn(52776)

Question 1204493: A ferris wheel is 24m in diameter and boardered from a platform that is 1m above ground. People enter the loading platform which is at height of 1m. The wheel completes 1 revolution in 10mins.
A.) Find amplitude, median, and period.
B.) Make equation for height function (ht)
C.) For how long during a cycle are you above 20m height ?
Click here to see answer by ikleyn(52776)

Question 1204483: Prove that the set of all n-tuples of rational numbers {(q1, q2, . . . , qn)|qi ∈ Q} ⊂ R^n is NOT a subspace of R^n.
Click here to see answer by ikleyn(52776)

Question 1204483: Prove that the set of all n-tuples of rational numbers {(q1, q2, . . . , qn)|qi ∈ Q} ⊂ R^n is NOT a subspace of R^n.
Click here to see answer by math_tutor2020(3816)

Question 1204482: Discuss in detail why the dimension of a finite dimensional vector space is well-defined.
Click here to see answer by ikleyn(52776)

Question 1204533: A code of 2 letters and 3 numbers is to be made for a security panel, using A,B,C and 1,2,3,4,5,6. How many codes are possible if repeats are allowed?
Click here to see answer by Alan3354(69443)

Question 1204542: The water level at an ocean inlet has a depth, d in meters, that varies with the time, t, in hours after midnight, according to the equation d = sin(2π(t-4/12.4)) + 6. What is the water depth at 5:30 ? To the nearest hundredth of a metre.
Click here to see answer by ikleyn(52776)

Question 1204609: A rectangular garden measures 12m by 5m, a path of uniform width runs along one side and one end.
If the total area of the garden and path is 98 m². Find the width of the path
Click here to see answer by mananth(16946)

Question 1204638: The simple interest I varies jointly with the principal p, and time t. If the simple interest is $450 when the principal is $500 and the time is 6 years, find constant of variation (the rate) and the Interest when the principal is $800 and the time is 5 years.
Click here to see answer by mananth(16946)

Question 1204745: if y varies directly as x, and y=10 when x=7,find y when x=5
Click here to see answer by josgarithmetic(39616)

Question 1204745: if y varies directly as x, and y=10 when x=7,find y when x=5
Click here to see answer by greenestamps(13198)

Question 1204745: if y varies directly as x, and y=10 when x=7,find y when x=5
Click here to see answer by Edwin McCravy(20054)

Question 1204799: In making a type of cap, a factory cuts out circles of materials of diameter 35cm. If the circles are cut out of a roll of material 105cm wide and the length of the roll is 20m.
How many circles can be cut out of the rolls?
A roll of the material costs ₦3,000 and other costs involved in making the caps are as follows:
thread and stiffening ₦3 per cap, labour ₦4 per cap and other costs ₦10 per cap
What is the cost price per cap?
Click here to see answer by mananth(16946)

Question 1204820: A nuclear accident is reported in a power plant in an isolated reservation. The location of the power plant and surrounding area is indicated using the following x-y coordinate system, where the power plant is spotted at the origin of the coordinate system.

A straight road runs across the reservation as indicated in the dotted line, that intersects the x and y coordinate axis at 7 km due east (A) and 1.4 km due north (B) from the origin. Scientists are required to set up a camp, adjacent to the road between points A and B, where the radiation level is minimum. Further, the radiation level at a particular location on the first quadrant of the coordinate system was identified as the following function of distances,
Radiation level = 6x+5y²
where x and y are the distance along the x-axis and the y-axis respectively.
a) Formulate the optimization model for the problem.
b) Identify the appropriate optimization technique with justification.
a) Hence obtain a suitable location for a campsite along the road(assume a position on the road), where the radiation level is minimum.
Click here to see answer by ikleyn(52776)

Question 1204822: If
y= A/x + Bx where A and B are constants, show that x²dy/dx +xdy/dx=y
Click here to see answer by Edwin McCravy(20054)

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