Questions on test answered by real tutors!

Tutors Answer Your Questions about test (FREE)

Question 1210384: If a+b+c=0
Then find (a²+b²+c²)/(b²-ac)
Click here to see answer by MathLover1(20849)

Question 1210375: If log₅2 = x and log₅3 = y,
find log₄₅100 in terms of x and y.
Click here to see answer by mccravyedwin(405)

Question 1210375: If log₅2 = x and log₅3 = y,
find log₄₅100 in terms of x and y.
Click here to see answer by math_tutor2020(3816)

Question 1210371: Candidates Q, R, and T are allowed to solve an advanced level Physics question independently. The probability that Q solves the question is 9/10, R solves the question is 3/7, and T solves the question is x.
(a) If the probability that at least one candidate solves the question is 19/70, find the value of x.
(b) Find the probability that:
(i) At least one candidate solves the question.
(ii) At most one candidate solves the question.
Click here to see answer by Edwin McCravy(20054)

Question 1210363: A cone has a radius of 10cm and slant height of 26cm. find the volume of the cone
Click here to see answer by ikleyn(52747)

Question 1210363: A cone has a radius of 10cm and slant height of 26cm. find the volume of the cone
Click here to see answer by CPhill(1959)

Question 1164845: Determine the present value of a series of 30 quarterly payments of $3,500 each which begins one month from today. Assume interest of 8.25 percent per year compounded monthly
Click here to see answer by ikleyn(52747)

Question 1210359: The dimensions of a square is given as 6.25 cm. A student measured one side of the square as 6.12 cm to calculate the perimeter and the area of the square.
Find the percentage error in:
i. Measured length
ii. Calculated perimeter
iii. Calculated area
Click here to see answer by mccravyedwin(405)

Question 1210358: A factory has 80 employees. If the number of men is doubled and the women tripled, the staff strength would be 190. Find the initial number of men and women working in the factory.
Click here to see answer by greenestamps(13195)

Question 1167519: Help is super appreciated!
At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM?
Click here to see answer by ikleyn(52747)

Question 1167520: I'm really struggling with this. Please help me out! (Not actually a test problem: This is Calc.)
A plane flies horizontally at an altitude of 6 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/3 rad/min. How fast is the plane traveling at that time?
Click here to see answer by ikleyn(52747)

Question 1165804: A transportation company is interested in knowing the amount of time it takes for the different type of vehicles they own to travel certain distances based on their different speeds. A car travels 180 miles in the same time that a truck travels 120 miles. If the car’s speed is 20 miles per hour faster than the truck’s, find the car’s speed and the truck’s speed. Make sure to show all your work.
Click here to see answer by ikleyn(52747)

Question 1210348: x, y, z ∈ Z³
13/x² + 1996/y² = z/1997
x, y, z = ?
Click here to see answer by AnlytcPhil(1806)

Question 1210348: x, y, z ∈ Z³
13/x² + 1996/y² = z/1997
x, y, z = ?
Click here to see answer by ikleyn(52747)

Question 1210348: x, y, z ∈ Z³
13/x² + 1996/y² = z/1997
x, y, z = ?
Click here to see answer by mccravyedwin(405)

Question 1210348: x, y, z ∈ Z³
13/x² + 1996/y² = z/1997
x, y, z = ?
Click here to see answer by Edwin McCravy(20054)

Question 1210351: Find the exact value of
tan⁸40° - 36tan⁶40° + 126tan⁴40 - 84tan²40
Click here to see answer by Edwin McCravy(20054)

Question 1210351: Find the exact value of
tan⁸40° - 36tan⁶40° + 126tan⁴40 - 84tan²40
Click here to see answer by ikleyn(52747)

Question 1210352: x^logy + y^logx = 2
x^logx + y^logy = 11
find x = ?, y = ?
Click here to see answer by ikleyn(52747)

Question 1210347: x/y = a/b = 2/3
y² - b² = 27
x² - a² = ?
Click here to see answer by ikleyn(52747)

Question 1210346: Solve for x,
π⁴ˣ - 10π²ˣ + 9 = 0
Click here to see answer by ikleyn(52747)

Question 1209804: If sinx + sin²x + sin³x = 1,
find cos⁶x - 4cos⁴x + 8cos²x
Click here to see answer by ikleyn(52747)

Question 1177476: There are 150 people at an International
Medical Conference. 40 are Africans, 70
are women and 110 are doctors. 12 of the
women are Africans, 46 of the doctors are
women and 31 of the Africans are doctors.
If 5 of the African men are not doctors:
a how many of the African women are
doctors
b how many of the men are neither African
nor doctors?
Click here to see answer by ikleyn(52747)

Question 1210339: In ∆ PQR, │PQ│= 9cm, │QR│= 11cm, │RP│= 7cm and the bisector of ln ∠P meets line QR at T. Calculate │QT│ and│TR│.
Click here to see answer by ikleyn(52747)

Question 1210334: The following are the marks scored by 20 students in a test:
15 11 17 25 13 15 16 22 24 27
20 22 15 16 15 19 22 24 22 11
(a) Prepare a frequency table for the distribution using class intervals 10 - 12, 13 - 15, 16-18....
(b) Calculate the variance of the distribution.
(c) If the pass mark for the test was 16, find the probability that a student selected at random from the class failed.
Click here to see answer by mccravyedwin(405)

Question 1210335: A tower TR and an observer at O. |OR| = 84 m and the angle of elevation of the top of the tower T from O is 57°.
(a) Calculate, correct to three significant figures, the height of the tower.
(b) The observer at O, moved away from the tower in the same straight line until the angle of elevation of T is 49°. Find, correct to two decimal places, how far the observer moved backwards.
Click here to see answer by ikleyn(52747)

Question 1210336: (a) The eighth term of an Arithmetic Progression (A.P) is 46 and the sum of the first eight terms is 200. Find the:
(i) first term;
(ii) sum of the first 12 terms.

(b) The points X(70°S, 60°E) and Y(7°S, 60°E) lies on the surface of the earth.
(i) Illustrate the information in a diagram.
(ii) Find the distance between X and Y along the meridian.
[Take л = 22/7 and R = 6,400 km]
Click here to see answer by ikleyn(52747)

Question 1210333: A company installs solar panels in its premises to reduce its electricity cost. The monthly savings on electricity in $, is modelled by S=200+50x-2x², where x is the number of months after installation.
(a) At what time will the savings on electricity stop increasing?
(b) Find the maximum savings.
Click here to see answer by ikleyn(52747)

Question 1210337: A sector of a circle of radius 6 cm subtends an angle of 105° at the centre. Calculate the:
(i) perimeter;
(ii) area;
of the sector.
[Take π = 22/7]
Click here to see answer by ikleyn(52747)

Question 1210331: In a certain year, the consumption pattern of electricity charges in a town was as follows:
the cost of the first 30 units was $1.00 per unit;
the cost of the next 30 units was $7.00 per unit;
the cost of each additional unit was $5.00.
(a) If Amaka used 420 units of electricity in January that year, calculate the amount paid.
(b) If Amaka paid $2,740.00 in the month of February, calculate the number of units
of electricity consumed.
(c) Find, correct to two decimal places, the percentage change in units of electricity
consumed by Amaka in January and February.
Click here to see answer by ikleyn(52747)

Question 1210332:
Given that P = │ 2 4 │ │-9 1 │ and Q = │1 - 1│ │3 -2│, find PQ + 2Q.

Click here to see answer by math_tutor2020(3816)

Question 1210332:
Given that P = │ 2 4 │ │-9 1 │ and Q = │1 - 1│ │3 -2│, find PQ + 2Q.

Click here to see answer by MathLover1(20849)

Question 1210332:
Given that P = │ 2 4 │ │-9 1 │ and Q = │1 - 1│ │3 -2│, find PQ + 2Q.

Click here to see answer by mccravyedwin(405)

Question 1210324: The product of the ages of Adu and Tanko is 9 less than Akorfa's age. If Tanko is 4 years older than Adu and Akorfa's age is six times Tanko's age, find Akorfa's age.
Click here to see answer by mccravyedwin(405)

Question 1210329: Yaro drove from a town Gaja to Banga. After 2 hours in the journey, he observed that he had covered 80 km and realized that if he continued driving at same average speed, he would end up being late for 15 minutes. If he decided to increase the average speed by 10 km/h, he would arrive at Banga 36 minutes earlier. Find the distance between Gaja and Banga.
Click here to see answer by greenestamps(13195)

Question 1210327: YyThe data represent the scores obtained by 9 applicants in an interview arranged in
ascending order: (3x+2), 22, (4x-2), 23, 25, (5x-4), 29, 29 and (x²-7).
(a) Given that the range is 9, find the
(i) value of .x;
(ii) mean mark of the applicants.
(b) If four of the applicants who obtained the highest score were selected, determine the
pass mark.
Click here to see answer by greenestamps(13195)

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, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650