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What is the exponential function in the form y equals c times e to the power of kx that passes through the points 1 180 and 3 20?
y = c ekxpassing through (1, 180) and (3, 20).(Note: All of the 'log' in the following are natural logs.)log(y) = log(c) + k log(x)Log(180) = log(c) + k log(1) = log(c)c = 180log(20) = log(180) + k log(3)log(20) - log(180) = k log(3)k = log(20/180) / log(3) = - log(9) / log(3) = -2y = 180 e-2xIn checking my work, I find that this doesn't work at all.Oh woe! Where have I failed ?--------------------------------------------Here's what I did:y=Cekx which passes through the points (1,180) & (3,20)(1) Substitute the values of x & y to create two equations:180 = Cek & 20 = Ce3k(2) Rearrange in terms of the constant, C:C=180/ek & C=20/e3k(3) Since both sets of points satisfy the exponential function, the constant will be the same so:180/ek = 20/e3k(4) Now rearrange and solve for k:180e3k = 20ek9 = e(k-3k)ln(9) = ln(e-2k)ln(9) = -2kk = -ln(9)/2 which is approx. -1.09861(5) Now substitute k into one of the equations to solve for C:C =180/e(-1.09861)C = 539.9987 or rounded to 540So the exponential function that includeds the points (1,180) & (3,20) can be approximated as:y = 540ekx , where k = -1.09861
What is -2 log likelihood?
p;kp;k;ko;jk;
y= log base b(x-h) +k?
The graph of log base b(x-h)+k has the following characteristics. the line x = h is a vertical asymptote; the domain is x>h, and the range is all real numbers; if b>1, the graph moves up to the right. of 0>b>1, the the graph moves down to the right.
What is formula to calculate k value of PVC resin?
The K value of PVC resin is calculated using the Fikentscher K value equation, which is K = (135.5 - 0.31 * log(viscosity)) * (1 - 0.008 * (log(viscosity) - 1)), where viscosity is the intrinsic viscosity of the PVC resin solution. In practice, the viscosity is typically measured using an Ubbelohde viscometer or an Ostwald viscometer. The K value is an important parameter that indicates the average molecular weight of the PVC resin and is used to classify different grades of PVC based on their properties and applications.
Log 2 plus log 4 equals log 2x?
log(2) + log(4) = log(2x)log(2 times 4) = log(2x)2 times 4 = 2 times 'x'x = 4
How do you solve k equals log4 91.8?
k=log4 91.8 4^k=91.8 -- b/c of log rules-- log 4^k=log 91.8 -- b/c of log rules-- k*log 4=log91.8 --> divide by log 4 k=log 91.8/log 4 k= 3.260
What is the untiderivative of k to the power of x?
If in the real number universe, first k is to be >0, y=kx = exlog(k) the antiderivative of eax is eax/a so the antiderivative of Y is exlog(k) / log(k) = kx /log(k)
Pascal's triangle using q-basic?
You could just use the binomial theorem. Step through rows, n, and entries, k, and compute the Pascal's triangle value as n!/(k!*(n-k)!) You'll actually have better luck if you use the natural log of a factorial, then you can use laws of exponents to get: exp(log(n!/k!/(n-k)!)) = exp(log(n!)-log(k!)-log((n-k)!)) = exp(logfact(n)-logfact(k)-logfact(n-k)) which won't run into the integer overflow problems that a plain factorial function would have. To fill up a logfact array, something like this might work: while(i<maxn) logfact(i)=logfact(i-1)+log(i) i=i+1 Wend Be careful to initialize correctly, and watch your conversion between integers and doubles (probably have to do some rounding to your final answers).
What is the exponential function in the form y equals c times e to the power of kx that passes through the points 1 180 and 3 20?
y = c ekxpassing through (1, 180) and (3, 20).(Note: All of the 'log' in the following are natural logs.)log(y) = log(c) + k log(x)Log(180) = log(c) + k log(1) = log(c)c = 180log(20) = log(180) + k log(3)log(20) - log(180) = k log(3)k = log(20/180) / log(3) = - log(9) / log(3) = -2y = 180 e-2xIn checking my work, I find that this doesn't work at all.Oh woe! Where have I failed ?--------------------------------------------Here's what I did:y=Cekx which passes through the points (1,180) & (3,20)(1) Substitute the values of x & y to create two equations:180 = Cek & 20 = Ce3k(2) Rearrange in terms of the constant, C:C=180/ek & C=20/e3k(3) Since both sets of points satisfy the exponential function, the constant will be the same so:180/ek = 20/e3k(4) Now rearrange and solve for k:180e3k = 20ek9 = e(k-3k)ln(9) = ln(e-2k)ln(9) = -2kk = -ln(9)/2 which is approx. -1.09861(5) Now substitute k into one of the equations to solve for C:C =180/e(-1.09861)C = 539.9987 or rounded to 540So the exponential function that includeds the points (1,180) & (3,20) can be approximated as:y = 540ekx , where k = -1.09861
Who lives in a log cabin?
emagrants
What is -2 log likelihood?
p;kp;k;ko;jk;
What is an efficient algorithm to merge k sorted lists in O(n log k) time complexity?
One efficient algorithm to merge k sorted lists in O(n log k) time complexity is the "Merge with Divide and Conquer" approach. This algorithm involves recursively dividing the k lists into two halves, merging them individually, and then merging the resulting halves until all lists are merged. This approach ensures a time complexity of O(n log k) by utilizing the divide and conquer strategy to efficiently merge the sorted lists.
y= log base b(x-h) +k?
The graph of log base b(x-h)+k has the following characteristics. the line x = h is a vertical asymptote; the domain is x>h, and the range is all real numbers; if b>1, the graph moves up to the right. of 0>b>1, the the graph moves down to the right.
What is the explanation of created world in zoroastrianim?
gt is the pagal log pagal ho tm log me khe raho hu k zoroastrianims ki holy book kya hai
What is the relationship between entropy (S), Boltzmann's constant (k), and the number of microstates (W) in a system, as described by the equation S k log W?
The relationship between entropy (S), Boltzmann's constant (k), and the number of microstates (W) in a system is described by the equation S k log W. This equation shows that entropy is directly proportional to the logarithm of the number of microstates, with Boltzmann's constant serving as a proportionality factor.
What do you use to measure the sound intensity?
It is measured by means of wave motion and by a logarithmic function of the form R = k log I.
What is formula to calculate k value of PVC resin?
The K value of PVC resin is calculated using the Fikentscher K value equation, which is K = (135.5 - 0.31 * log(viscosity)) * (1 - 0.008 * (log(viscosity) - 1)), where viscosity is the intrinsic viscosity of the PVC resin solution. In practice, the viscosity is typically measured using an Ubbelohde viscometer or an Ostwald viscometer. The K value is an important parameter that indicates the average molecular weight of the PVC resin and is used to classify different grades of PVC based on their properties and applications.
