08/13/15
Solve the equaion leaving answers in exact form. 16^2x/4^x+2 = 32^x-1 (use common base).
This is precalculas/advanced function 12.
08/13/15
Jerome swapped the digits of a two-digit number, and the new number he got was 30 less than the original number. What could the original number have been?
Jerome swapped the digits of a two-digit natural number, and the new number he got was 30 less than the original number. What could the original number have been?
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08/13/15
The mark up over dealers cost of new car ranges from 11% to 18%. If the sticker price is 26,000, over what will the dealers cost vary?
This is an Algebra word problem over percentages of cost.
08/12/15
solving integrals
∫ ( (dx)/√(x2+36) )=_____________
a. ( (√(x2+36)+x)/6 )+C
b. ln abs( (x+6)/(√(x2+36)) )+C
c. ln ( (√(x2+36)+x)/6 )+C
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08/12/15
Determine An Equation
Determine an equation of a exponential function of base 2 with the following characteristics.
- Horizontal asymptote: y=4
- Range: y<4
- Y-Intercept (0,2)
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08/12/15
A radioactive substance decays at a rate of y = ae^-0.1483t,
A radioactive substance decays at a rate of y = ae^-0.1483t, where t in in hours. Find the half-life of the substance.
a. t = 0.8622 years
b. t = 4.674 years
c. t = 18.323 years
d. t =...
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08/11/15
Word problem using rate of change and integrals
A giant spherical snowball is melting such that its radius decreases at a rate of 5 mm per hour. How fast is the surface area changing when the diameter is two meters? How fast is the volume...
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08/11/15
continuous and differentiable function
Let f be a continous function on interval [-1, 9] and differentiable on (-1, 9). If f(-1) = 2 and f(9) = 7, then which of the following are necessarily true?
i. f'(c)= (1/2) for some c...
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08/11/15
application of mean value theorem
The function f(x)= x(2/3) on [-8,8] does not satisfy the conditions of the mean-value theorem because... A. f(0) is not defined. B. f(x) is not continuous on [-8,8]. C. f ‘...
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08/11/15
Find possible values of the constant b
the roots of the equation x2 + bx + 24 = 0 are integers. Find the possible values of the constant b.
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08/11/15
Average rate son was traveling
Ashley left Weston on her bicycle riding at an average rate of 10 miles per hour three hours before her son left by automobile.The son overtook Ashley in exactly 30 minutes. At what average rate...
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08/11/15
what is the slope for (4,-4) (8,-1) (0,-7) (-4,-10)
find the slope of the using: (4,-4) (8,-1) (0,-7) (-4,-10) I took notes but I still don't understand please HELPPP!!!!!!!!!!!!
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08/11/15
calculus question
lim h(t), where h(t)= (cos(t)-1)/(t^2). note that h(t) is even, that is, h(t)=h(-t).
t--0
t= (+-)0.002 (+-)0.0001 (+-)0.00005 (+-)0.00001
My answers..
h(t)= .4999 ...
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profusely hard question
Let vector v = (5, 3). Give an example of a vector x other than vector v for which projvector v(vector x) = vector v
08/10/15
what is the answer to 76,000 + 24,320/(1+0.109)^1+24,320/(1+0.109)^2+24,320/(1+0.109)^3+24,320/(1+0.109)^4+24,320/(1+0.109)^5+24,320/(1+0.109)^6
net present value question
08/10/15
Describe and Correct the error
k/k+5 + 5/k+3 = -2k/ k^2 +8k+15
LCD= (k+3)(k+5)
k(k+3)+5(k+5)=-2k
k^2+3k+5k+25=-2k
k^2+8k+25=-2k
k^2+10k+25=0
(k+5)^2=0
k=-5
08/10/15
question below....
A bank pays r=5% interest compounded monthly. if you deposit P0 dollars at a time t=0, then the value of your account after N months is P0 (1+(0.05/12))^N. find to the nearest integer N the number...
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08/09/15
If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together?
If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together?A. 1/8 hour
B. 8/15 hour
C. 1 7/8 hours
08/09/15
algebra word problem
When interest is compounded continuously, the balance in an account after t years is given by A = Pert,Where P is the initial investment (i.e., the principal) and r is the interest rate (expressed...
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08/07/15
Magnitute = What?
The Richter scale magnitude, R, of an earthquake of intensity I is defined as R=log (I/I0),where I0 is a small threshold intensity. Find the magnitude of an earthquake with intensity 55,000,000...
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08/06/15
16(x)^2 - (y)^2 - 160x - 12y + 360 = 0 The final answer is: ((y+6)^2)/4 - ((x-5)^2)/(1/4) = 1
This is from a question asking for the conversion of the given equation into the standard form of the equation of a hyperbola! I'm having issues understanding a basic principle of getting the final...
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Which of the following is an equation of a circle in the xy-plane with center (-1,3) that passes through the origin?
Choices:
A. (x-1)2 + (y+3)2 = √10
B. (x-1)2 + (y+3)2 = 10
C. (x+1)2 + (y-3)2 = √10
D. (x+1)2 + (y-3)2 = 10
Please help. Thank you!
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