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Question 1007171: Solve the given problem related to population growth.
The number of bacteria
N(t)
present in a culture at time t hours is given by
N(t) = 2500(2)^t.
Find the number of bacteria when
t = 0 hours
and
t = 4 hours.
(a) t = 0 hours

bacteria
(b) t = 4 hours

bacteria
Click here to see answer by fractalier(6550)

Question 1007172: Solve the given problem related to population growth.
The population of a city grows exponentially according to the function
f(t) = 12,400(1.14)^t
for 0 ≤ t ≤ 5 years. Find, to the nearest hundred, the population of the city when t is the following number of years.
(a) 2 years

people
(b) 4.25 years

people
Click here to see answer by fractalier(6550)

Question 1007194: Solve the system of equations by using the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
4x + y = 3
8x + 2y = 6
(x, y) =( )

Click here to see answer by josgarithmetic(39616)

Question 1007192: The annual revenue R, in dollars, of a new company can be closely modeled by the logistic function
R(t) =
615,000/1 + 3.6e^−0.044t

where the natural number t is the time, in years, since the company was founded.
(a) According to the model, what will be the company's annual revenue for its first year and its second year (t = 1 and t = 2) of operation? Round to the nearest $1000.
R(1) = $
R(2) = $

(b) According to the model, what will the company's annual revenue approach in the long-term future?
$

Click here to see answer by fractalier(6550)

Question 1007366: Please help me solve this trignometric problem
While standing at the left corner of the schoolyard in front of her school, Suzie estimates that the front face is 8.9 m wide and 4.7 m high. From her position, Suzie is 12 m from the base of the right exterior wall. She determines that the left and right exterior walls appear to be 39 degrees apart. From her position, what is the angle of elevation, to the nearest degree, to the top of the left exterior wall?
The solution to this problem is 46 degrees at the back of the textbook but I dont know how to solve it.
Click here to see answer by josgarithmetic(39616)

Question 1007391: Factor and solve this polynomial function:
g(x)= x(squared) + 10x - 39
Click here to see answer by josmiceli(19441)

Question 1007393: Show how to factor and solve this polynomial function:
f(x)= -x(squared) +24x + 180
Click here to see answer by ikleyn(52776)

Question 1007413: please help me solve this equation for y
Click here to see answer by lwsshak3(11628)

Question 1007451: y=-x^2+14x-24
Click here to see answer by fractalier(6550)

Question 1007671: how do i make an equation with the solutions being -3i 3i and 4

Click here to see answer by fractalier(6550)

Question 1007707: 4x
_______
x4 + 4x2 + 4 = 0
Click here to see answer by josgarithmetic(39616)

Question 1007960: Factor:
20q^2-39qb+18b^2
Click here to see answer by MathLover1(20849)

Question 1007977: The relation d=0.0052s^2 + 0.13s models the stopping distance, d, in metres, of a car travelling at a speed of s, in kilometres per hour, when the driver breaks hard. At what speed was a car travelling if its stopping distance is 20m? Round to the nearest tenth.
Click here to see answer by stanbon(75887)

Question 1007975: A small plane took 3 hours to fly 960 km from Ottawa to Halifax with a tail wind. On the return trip, flying into the wind, the plane took 4 hours. Find the wind speed and the speed of the plane in still air.

A solution of 10% sulfuric acid and one of 25% sulfuric acid are to be used to make 500 ml of 20% sulfuric acid. How many ml of each solution needs to be used in the mixture? (round answers to the nearest ml)
Click here to see answer by josgarithmetic(39616)

Question 1007989: y=2x+5
4x^2+y^2=36
Click here to see answer by ikleyn(52776)

Question 1007978: "Solve" the following linear system using substitution and interpret the results. (4 marks)
6xy−2x+4==3y+20

Two fractions have denominators 3 and 4 and their sum is 1712. If the numerators are switched, the sum is 32 . Set up a linear system and solve it using elimination to determine the two numerators. (6 marks)
Click here to see answer by ikleyn(52776)

Question 1008114: Problem:
Find the solution to this system of equations both graphically and algebraically. You must show the check step to receive credit.Y=|x-3|+2 and y=-2x+6
Click here to see answer by Boreal(15235)

Question 1008162: I have to decide what type of solution this is. I'm thinking it's Positive (2R), but I'm having a hard time figuring the discriminant out.
3-6x^2=-5x+1
Click here to see answer by josgarithmetic(39616)

Question 1008217: What is the answer to (5c-1)(5c+1)
Click here to see answer by Theo(13342)

Question 1008217: What is the answer to (5c-1)(5c+1)
Click here to see answer by Alan3354(69443)

Question 1008245: A graphing calculator is recommended.
Find the exponential regression function for the data. State the coefficient of
determination r^2. (Round your numerical values to five decimal places.)
{(10, 6.7), (12, 7.2), (14, 14.8), (16, 16.4), (18, 50.1), (19, 20.1)}
y(x) =
r2 =

Click here to see answer by Edwin McCravy(20054)

Question 1008243: Solve the exercise by solving a system of equations.
Find the quadratic equation of the form y = ax^2 + bx + c
whose graph passes through the points(2, 4),(-2, 8),and (1,-4).

Click here to see answer by Edwin McCravy(20054)

Question 1008225: find the value of k so that x^2+y^2+4x-6y+k=0 is the equation of circle of radius 5
Click here to see answer by josgarithmetic(39616)

Question 1008294: Divide
sqrt 5 over sqrt 45

Click here to see answer by mgmoeab(37)

Question 1008294: Divide
sqrt 5 over sqrt 45

Click here to see answer by Alan3354(69443)

Question 1008223: for what value of k does circle (x+2k)^2 +(y-3k)^2 passes through point (1,0)
Click here to see answer by ikleyn(52776)

Question 1008345: Suppose you have an outdoor pool measuring 25ft. by 10ft. You want to add a cement walkway around the pool. If the walkway will be 1 ft. thick and you have 304ft^3 (cubed) of cement, how wide should the walkway be?
Please explain it step by step because I have a test Monday and I don't understand this concept.
Click here to see answer by josgarithmetic(39616)

Question 1008523: Factor:
25d^2 + 15d
Click here to see answer by MathLover1(20849)

Question 1008535: Solve:
10x^2 + 14x - 12 = 0
Click here to see answer by stanbon(75887)

Question 1008619: Hello, I would like to find help in HOW to solve a quadratic equation such as the one listed below. I am not quite sure on how to work the fractional powers. I have tried the quadratic equation but that does not work out and I have tried seeing it as 9(x^(1/3))^2-26x^(1/3)-3=0. I have seen youtube videos on how to solve equations in quadratic with fractional powers but most factor nicely and I cannot seem to get my problem to do so as well. I would really appreciate some assistance with this problem.
9x^(2/3)-26x^(1/3)-3=0

Click here to see answer by josgarithmetic(39616)

Question 1008564: Fill in the blank with the term that would complete the square.

a)x^2-8x+
b)x^2-7x+
c)x^2-2/3x+
d)x^2-px+
Click here to see answer by norymae(15)

Question 1008646: given y=2x^2+bx+c, the minimum value is -3 and the graph intersects at (0,-1). Find the values of b and c.
Click here to see answer by Edwin McCravy(20054)

Question 1008692: 3 / [ 2x - 3] = 5x+7 / [x + 1] Solve using quadratic formula The answer should be -1.4 and 1.8?
This is a fraction question. I'm not sure if I used parentheses correct
Click here to see answer by stanbon(75887)

Question 1008684: one positive number is 6 less than twice a second number, and the product is 140. Find the two numbers

Click here to see answer by fractalier(6550)

Question 1008759: Find AB, if possible. (If not possible, enter IMPOSSIBLE in any single blank.)
A = [1 −4 2] and
B =
1 0
4 −1
1 4
AB =

Incorrect: Your answer is incorrect.

Click here to see answer by Alan3354(69443)

Question 1008730: Find an equation of the plane that passes through the points
(-1, 0, -4),(2, 1, 8),and(-1, 1, -1).(Suggestion: The equation of a plane can be written as z = ax + by + c.)
z=

Click here to see answer by Edwin McCravy(20054)

Question 1008813: 2.A parabola passes through the point (3, 5) on its way to the vertex at (7, 11). Determine the equation in vertex form that represents this parabola. (3 marks)
PLEASE ANSWER FULL QUESTION GRADE 11 MATH!!!!!
Click here to see answer by josgarithmetic(39616)

Question 1008762: Find an equation of the plane that passes through the points
(−1, 0, −4),(2, 1, 8),and (−1, 1, −1).(Suggestion: The equation of a plane can be written as z = ax + by + c.)
Z=

Click here to see answer by Edwin McCravy(20054)

Question 1008824: What is (-2x+14)-15(200x-30)-(2x-10)= what
Click here to see answer by addingup(3677)

Question 1008642: Given the quadratic function y=ax^2+bx+c, the maximum value is a^2+4 at x=1 and the graph passes through the point (3,1). Find the values for a, b and c.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1008859: C(x)=2x�-500x+160,000 what is the answer
Click here to see answer by Alan3354(69443)

Question 1008880: (2x+3)^2=4
Click here to see answer by gowsicgenius@gmail.com(1)

Question 1008880: (2x+3)^2=4
Click here to see answer by seah duntugan(1)

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