Tutors Answer Your Questions about Exponents-negative-and-fractional (FREE)
Question 45791: REPOST: I posted this last week and got 2 different answers from different tutors, so I'm hoping the third time might get me the correct answer.Simplify the following:
a^3b^2/a^4b
When I tried it I got b^-1, but the tutors posted different answers from those. HELP! This is due tonight.
Click here to see answer by Nate(3500)  |
Question 46763: The amount in an account after t years from an initial principle P invested at an annual rate r compounded continuously is given by A=Pe^(rt) where r is expressed as a decimal. Solve this formula for t in terms of A,P and r.
i get that t=r ln(A/P)
Click here to see answer by Nate(3500) |
Question 46762: the decibel level of sound is given by D= 10 log (I/10^-12), WHERE I is the sound intensity measured in watts per square meter. Find the decibel level of a
whisper at an intensity of 5.4 x 10-^10 watts per square meter.
so does that mean:
D= 10 log (5.4 x 10^-10)/ 10^-12)
do you subtract the exponents to get
so pluggin 5.4 x 10^-10 in a calculator i got 6.798
and 10^-12 I got 1.318
divide the two 6.798/1.318= 5.158
d=10 log (5.158) except that isn't one of my choices so i know i am wrong somewhere.
a. 2.73 decibels
b. 3.73 decibels
c. 27.3 decibels
d. 37.3 decibels
Click here to see answer by Nate(3500) |
Question 46755: the population P of a certain culture is expected to be given by a mdoel P=100e^(rt) where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the r value if the population is expected to reach 200 in 3 days.
Click here to see answer by Nate(3500) |
Question 47137: the cost of holding a concert is the sum of the fixed cost, which is the same no matter how many people attend, and the variable cost, which depends on the number of people attending. If the total cost for a concert attended by 1000 people is $75000, and the total cost of a concert attended by 1200 people is $85000, what is the number of dollars in the fixed cost when holding a concert?
Click here to see answer by checkley71(8403) |
Question 47583: My problem is 2x^2+4/2x
I know it should be simple but I can not for the life of me get this one. I have to write it in the form of
quotient+remainder/divisor
Please help! And thank you in advance!
Click here to see answer by Nate(3500) |
Question 48334: I have this problem, and I have to simplify it and express in terms of positive exponents. (3x^-4y / z^2) All to the power of -3.
The answer I've come up with is x^12 / 27y^3z^6. I'm really not sure about this problem. Thanks.
Click here to see answer by Earlsdon(6294) |
Question 48555: I'm taking an online class and the book does not give a very good explanation on how to do the following problem: Please help.
Factor, using the given factor. Assume all variables represent positive real numbers.
2k^-3 + k^-8 ; k^-8
Click here to see answer by josmiceli(19441)  |
Question 48555: I'm taking an online class and the book does not give a very good explanation on how to do the following problem: Please help.
Factor, using the given factor. Assume all variables represent positive real numbers.
2k^-3 + k^-8 ; k^-8
Click here to see answer by AnlytcPhil(1807)  |
Question 48554: I am taking a Pre-Calculus Algebra class online and I am at a complete loss. Please help!!
Perform the indicated operations. Write the result using only positive exponents and assume all variables represent nonzero real numbers.
9r^-3(r^4)^4/2(r^-2)^5
Rationalize the denominator. Assume all variables represent positve real numbers.
5√11x/√x^3
Your help would be greatly appreciated - like I said I am at a complete loss.
Thanks in advance!!
Click here to see answer by stanbon(75887) |
Question 48957: Hi! My calc teacher gave his students a packet of math review to do over the summer. I am stuck on this problem because it involves a trigonometric function. Please help me simplify this equation:
-[(x^-1/2)/(2)]sin(sqrt(X))
this is what i have so far:
step 1
-[(1/sqrt(X))/(2)]sin(sqrt(x))
step 2
-[{sqrt(x)/(x)}/{2)]sin(sqrt(x))
step 3
-[{sqrt(X)}/{2x}]sin(sqrt(x))<--I'm stuck here
Thank you for taking the time to look at this problem and any help would be greatly appreciated!!
Click here to see answer by venugopalramana(3286) |
Question 50106: I think I got these two but would like to double check before turning in. Thanks!! Andrea
BTW, I apologize in advance for any misunderstanding in my notation as it is hard to do square roots and exponents in the same problem; it is much easier to read with the Math Type program.
(A)
2 sqrt x + 3(x + 1)^2-sqrt(4x) + x^2
2 sqrt x + 3(x^2 + 2x + 1) - sqrt(4x) + x^2
2 sqrt x + 3x^2 + 6x + 3) - sqrt(4x) + x^2
2 sqrt x - 2 sqrt x + 3x^2 + x^2 + 6x + 3
4x^2 + 6x + 3
(B)
sqrt(64x^5) / sqrt(121x^7)
8x^2(sqrt x) / 11x^2(sqrt x^3)
Click here to see answer by lkwtcnj(8) |
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