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Question 1180459: The technology output for 1/2^64 is 1.42108547E - 14. Write this number in scientific notation with three significant digits.
The number 1/2^64 written in scientific notation with three significant digits is __.
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Click here to see answer by josgarithmetic(39617)

Question 1180462: Rewrite the expression using exponents.
7 • 4 • 4 • 4 = 4^_ • 7^_
Click here to see answer by josgarithmetic(39617)

Question 1180462: Rewrite the expression using exponents.
7 • 4 • 4 • 4 = 4^_ • 7^_
Click here to see answer by ikleyn(52781)

Question 1180463: For the description below, choose a variable name for the given quantity. Give two numbers that the variable can represent and two numbers that it cannot represent.
The height (in inches) of a bookcase
Which of the following would be a proper variable name for the height of a bookcase?
A. h
B. 7
C. π
D. √7
Choose two numbers that the variable for the height (in inches) of a bookcase can represent from the following list. Choose all that apply.
A. -75
B. 75
C. 10215
D. 62
Choose two numbers that the variable for the height (in inches) of a bookcase cannot represent from the following list. Choose all that apply.
A. 31173
B. 71
C. 65
D. √7
Click here to see answer by MathLover1(20849)

Question 1180455: A book is 14 centimeters wide. Convert this width to inches.
The width of the book is __ in.
(Round to two decimal places as needed.)
Click here to see answer by ikleyn(52781)

Question 1180464: The technology output for 1/2^64 is 1.42108547E - 14. Write this number in scientific notation with three significant digits.
The number 1/2^64 written in scientific notation with three significant digits is __.
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Click here to see answer by ikleyn(52781)

Question 1180416: Let s be the annual sales (in millions) for a particular electronic item. The value of s is 55.6 for 2005. What does s = 55.6 mean in this situation?
The given situation means that in the year ___, ___ million of this electronic item were sold.
Click here to see answer by MathLover1(20849)

Question 1180507: Amber makes toys for the children in the Children’s Hospital at Christmas.
She makes wagons (with four wheels) and trikes (with 3 wheels). She used 68
wheels for the toys for last Christmas. What number of wagons and trikes might
she have made? Make sure you can verify you have all possibilities.
Click here to see answer by josgarithmetic(39617)

Question 1180541: I am having trouble with this question:
If f (x) = a + bx, what is f (x + k) - f (x) ?
Thank you so much!
Click here to see answer by MathLover1(20849)

Question 1180601: I am having trouble with how to do this question:
If f (x1, x2) = a + bx1 + cx2 + dx1x2, what is f (x1 + k, x2) - f (x1, x2) ?
Thank you so much in advance:)
Click here to see answer by ikleyn(52781)

Question 1180604: I am having trouble with this problem:
Suppose f = (t-s)/(s/(n-2)) and p = (t-s)/(t). Express f as a function of p and n
Thank you so much for your help!
Click here to see answer by MathLover1(20849)

Question 1180606: 5 lollipops and 12 toffees have a mass of 61 grams
10 lollipops and 13 toffees have a mass of 89 grams
I. If the mass of one lollipop is x grams and the mass of one toffee is y grams, write 2 equations in x and y to represent the above information
ii. Calculate the mass of:

A) One lollipop

B) One toffee
Click here to see answer by Boreal(15235)

Question 1180654: Make a the subject of the formule in the equation s=n\2[2a+(n-1)d]
Click here to see answer by mananth(16946)

Question 1180654: Make a the subject of the formule in the equation s=n\2[2a+(n-1)d]
Click here to see answer by ikleyn(52781)

Question 1180668: 1/2(3a + 4b + c) - (c2 + 5a)

Click here to see answer by mananth(16946)

Question 1180669: the difference between a number and it’s positive square root is 12 find the number.
Click here to see answer by MathLover1(20849)

Question 1180826: Factor completely.
36-y^6

Click here to see answer by ikleyn(52781)

Question 1180837: Of the 30 students in my class, 11 practice taekwondo, 11 play piano, and 20 take lessons at AoPS. 4 students play piano and go to AoPS, 3 students do taekwondo and play piano, 5 student go to AoPS and practice taekwondo, and 3 students do none of these. How many students do all 3?
Click here to see answer by ikleyn(52781)

Question 1180884: 3(e+4)-(3e+12)=0
0=0
What is the answer called? Is it the real numbers or the null set?
Click here to see answer by ikleyn(52781)

Question 1180910: 5 pens for $7.45 calculate the cost of one pen
Click here to see answer by math_helper(2461)

Question 1180905: Given that X∼N(44.6,57.67). Find the probability that a randomly chosen value from this population is less than 64

Click here to see answer by Boreal(15235)

Question 1180978: Cody was selling drawings for $5 each. For every 8 drawings he sold, he had to use $4 in art supplies to make them. How much profit would he make if he sold 8 drawings?
Click here to see answer by ikleyn(52781)

Question 1181023: Complete the square of this equation of a function
h (t) = 250t − 5t^2
in a form of h (t) = a (t − h)2+ k.
Click here to see answer by josgarithmetic(39617)

Question 1181035: The total cost of a suit and 4 ties is $292. The suit cost $200. Each tie cost the same amount.
Find the cost of one tie.
Click here to see answer by mananth(16946)

Question 1181037: During one day in 1918, the temperature in Granville, North Dakota, began at -33° and rose for 12 hours. The high temperature was about 51°. About how many degrees per hour did the
temperature rise?
Click here to see answer by ikleyn(52781)

Question 1181047: find the distance between each pair of points (-3,-6) and (5,6)
Click here to see answer by Solver92311(821)

Question 1181072: Which of the following equation has greatest and smallest number of real solutions?
(a) x^3 + x - 10 = 0
(b) x^2 + 4x - 15 = 0
(c) e^x - x = 0
(d) sec(x) - e^(-x^2)
Note: Here ^ means power.
Click here to see answer by MathLover1(20849)

Question 1181103: S=n/2(2a(n-1)d)
Click here to see answer by mananth(16946)

Question 1181103: S=n/2(2a(n-1)d)
Click here to see answer by ikleyn(52781)

Question 1181138: I need help writing an equation in this problem please.
A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function S= 14.95+0.60M, where M is the number of miles driven.

The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function I= 5.70+0.15M.
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
Click here to see answer by ikleyn(52781)

Question 1181191: How to solve - \frac{ 1 }{ 3 } \log_{ 3 }({ \frac{ 1 }{ 4 } }) + \log_{ 3 }({ x }) = - \log_{ \left( \frac{ 1 }{ 3 } \right) }({ \sqrt[ 3 ]{ x } })
Click here to see answer by MathLover1(20849)

Question 1181372: Could you please show me the steps to the solution of this problem:
Gabrielle rows a boat downstream for 192 miles. The return trip upstream took 8 hours longer. If the current flows at 2 mph, how fast does Gabrielle row in still water?
Click here to see answer by mananth(16946)

Question 1181384: The Doppler effect causes a sound moving towards you to sound higher pitched and a sound moving away from you to sound lower pitched, like observed in listening to the car horn in the video.
The equation for this is f=(c/c+v)f0 , where
f is the observed frequency (pitch) of the sound, in Hertz
c is the speed of sound, about 761 miles per hour,
v is the speed of the sound source, in this case the car, in miles per hour
f0 is the frequency of the sound when stationary
Using a spectrum analyzer, we could determine the observed frequency when the car was driving away was 238 Hz and the stationary frequency was 255 Hz.
Use this information and the equation to estimate the speed of the car in miles/hour, to 1 decimal place.
Click here to see answer by ikleyn(52781)

Question 1181637: "three plus the quantity a minus b"
Click here to see answer by MathLover1(20849)

Question 1181709: 1.A ball is thrown horizontally out of the balcony with an initial horizontal speed of 1.8 m/s. If the balcony is 12m from the ground,
a. How much time will it take the ball to reach the ground?
b. What is the horizontal distance travelled by the ball before it hits the ground?
2. A missile is fired with an initial velocity of 85m/s at an angle 30º fdom the horizontal,
a. After how many seconds will the missile reach its highest point?
b. What is the maximum height reached by the missile?
c. Calculate the total horizontal distance travelled by the missile after it hits the ground. This is called the range.
Click here to see answer by ikleyn(52781)

Question 1181753: In a two digit number, the sum of the digits is 8, the difference between the number and the number with the digits reversed is 54 what is the number?
Click here to see answer by josgarithmetic(39617)

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, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580