Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 1043340: A culture of bacterial triples in size every four hours. If the bacteria population is estimated to be three million now, what will it be one day from now?
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Question 1043774: how do you simplify the radical, square root of 200

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Question 1043774: how do you simplify the radical, square root of 200

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Question 1044805: Use standard notation to write this number.
4.045x10^3

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Question 1044845: 42 raised to the 1/3 power, divided by 6 raised to the 1/3 power raised to the second power?

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Question 1044845: 42 raised to the 1/3 power, divided by 6 raised to the 1/3 power raised to the second power?

Click here to see answer by MathTherapy(10551)

Question 1044936: How do I give an example of a binomial in the form a√b+c√d and its conjugate. Then find their product?
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Question 1044936: How do I give an example of a binomial in the form a√b+c√d and its conjugate. Then find their product?
Click here to see answer by MathTherapy(10551)

Question 1045076: Solve 8√4z^3 � 43 = 40. Justify each step in your solution. Can anyone help me with this? Please and Thank you!
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Question 1045270: Solve the equation by any method:

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Question 1045270: Solve the equation by any method:

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Question 1045313: How do I give an example of a binomial in the form a√b + c√d and then multiply bytheir conjugate? How do I find their products?
Click here to see answer by Boreal(15235)

Question 1045408: Simplify the radical expressions

5= Index
Can you please explain the steps into finding the answer? Thank you
Click here to see answer by Alan3354(69443)

Question 1045438: What tis the square root of negative 49 equal to written as a complex number?

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Question 1045438: What tis the square root of negative 49 equal to written as a complex number?

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Question 1045856: How do you simplify this complex fraction?

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Question 1046182: Given the equation 2^x = x^2 which has 3 real roots: by means of inspection, determine 2 of these roots which are integer values.
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Question 1046294: Kindly help me solving it
What are the roots obtained by solving equation
?
Well i tried hard and simplified it upto

But i can't go further, so please guide me.
Click here to see answer by josgarithmetic(39616)

Question 1046395: Kindly help me solving it i tried my best but I couldn't
Solving equation following roots are obtained
I ttied it this way
Let us assume that and
So the reformed equation will be

By cross multiplication we get

Or
Or
Taking two as common factor

Or
By putting the values it becomes

But thag is not the correct answer
Please help Me by showing the correct steps
Click here to see answer by robertb(5830)

Question 1046663: Square root of 75 to the power of 2 times y
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Question 1046663: Square root of 75 to the power of 2 times y
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Question 1046663: Square root of 75 to the power of 2 times y
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Question 1046963: Write the partial fraction decomposition of the rational expression?
13x+2
----------------
(x-1)(x^2+x+1)
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Question 1047879: A square field is surrounded by 6m sections of fencing. If the diagonal length of the feild is 54 root 2 m , how many lengths of fencing are on each side?
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Question 1048071: What is the simplified expression of root 5 over 16
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Question 1048135: The editor of the school newspaper must reduce the size of a graph to fit in one column.the original graph is 2 inches by 2 inches, and the scale factor from the original to the reduced graph is 8:3.determine the dimensions of the graph as it will appear in one column of the newspaper.
Click here to see answer by stanbon(75887)

Question 1048959: What is the value of 2 to the power 49/49.....with solution
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Question 1049106: \sqrt[3]{}\frac{s^8}{2r^2t}
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Question 1049108: Rationalize the denominator and simplify
\sqrt[3]{}\frac{s^8}{2r^2t}
Click here to see answer by solver91311(24713)

Question 1049105: Rationalize the denominator and simplify
\sqrt[3]{}\frac{s^8}{2r^2t}
Click here to see answer by Alan3354(69443)

Question 1049851: Express (3a^2b)^-2/3 as a radical in simplest form.
Click here to see answer by advanced_Learner(501)

Question 1050152: Radical 8 minus radical 50 is equivalent to?
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Question 1050203: Please help me solve this equation:
sqrt(2x+11)-sqrt(x+9)=sqrt(x-6)
Click here to see answer by advanced_Learner(501)

Question 1050203: Please help me solve this equation:
sqrt(2x+11)-sqrt(x+9)=sqrt(x-6)
Click here to see answer by ikleyn(52776)

Question 1050280: The Problem: Farmer Fay has a pig that presently weighs 200 pounds. She could sell it now for a price of $1.40 a pound. The pig is gaining 10 pounds a week while the price per pound of pork is dropping 2 cents a week.
The table below is the value of the pig after a given number of weeks.
Number of weeks (t ) 0,1,2,3,4,5,6,7,8,9,10
Value of pig (v) in dollars 280,289.80,299.20,308.20,316.80,325,332.80,340.20,347.20,353.80,360
Fit a quadratic model (STAT - CALC - 5:QuadReg) to this data using your calculator. Give the equation for your model below in standard form. (y = ax2 + bx + c)
2a. What are the x-intercepts of your model? (Use the graph on your calculator to find or estimate them, don�t try and find them from the equation.)
2b. What do these x-intercepts represent?
3a. What is the y-intercept of the model?
3b. What does this represent in the context of the problem?
4a. What�s the vertex of your equation? (You can find this using the graph or the formula .)
4b. What does the vertex represent in the context of the problem?
Now that we�ve found the model (in standard form) using quadratic regression, let�s write a model ourselves and compare them.
We�ll use factored form to write the equation.
Use the x-intercepts found in Question 2 to write the equation of the model in factored form. Graph this equation on the same screen your plotted your data on earlier. Adjust a if necessary to get it to be a good fit.
a. Give your model. It will be in the form y = a(x - b)(x - c).
b. Insert the graph below.
Graph the equation you wrote in step 6 with the equation you found using quadratic regression in Question 2 on the same set of axes.
a. Insert the graph below.
b. Write a couple of sentences comparing the two models.
What if we account for the cost of feeding the pig? Adjust your model from step 6 to account for the fact that pig feed costs $5 a week.
a. Write the equation for the adjustment to feed the pig.
b. What are the new x-intercepts and what do they mean in the context of the problem?
c. What is the new vertex and what does it mean in the context of the problem?
Click here to see answer by ikleyn(52776)

Question 1051212: Use radical notation to rewrite the expression. Simplify if possible.
(512)^(2/3)-(16)^(3/4)
please show steps if possible thank you

Click here to see answer by Alan3354(69443)

Question 1051302: At the beginning of an experiment, there are 400 grams of contaminants. Each hour, a fourth of the contaminants are filtered out.
A.Formulate a recursive sequence modeling the number of grams after n hours.
B.Use the model to calculate the amount of contaminants after the third hour of the experiment.
Click here to see answer by stanbon(75887)

Question 1051306: A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?
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Question 1051304: A population of geese grow in such a way that each generation is simply 2.2 times the previous generation. There were 3 geese in the first generation, how many will there be by the 15th generation?
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Question 1051377: At what value of x is 2^x=0?
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Question 1051592: (√2 + 3)/(2+√3) (√4-2√8)/(√32+3√98)
Completely simplify the following radical expression.Thanks.
Click here to see answer by ewatrrr(24785)

Question 1051775: 15/sqrt-27x^4y^11
Click here to see answer by Alan3354(69443)

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