In the video we just saw, we performed logarithmic regression for the height of a tree in feet over time and found our model equation to be y=2.062+7.695lnx where x is time in years. According to this model, how many years will it take for the tree to grow to 30 feet tall? Round your answer to the nearest tenth of a year and do not include units.

Q: The pH of an acidic solution is a measure of the concentration of the acid particles in the…

A: The pH of the solution is given by:pH=5.14+logx0.40-x

Q: The equation for the half life of carbon 14 is a(1/2)t/5730 . Rewrite this equation with a base of…

A: To Rewrite this equation with a base of e.

Q: 1. Sketch a graph of the function y = 4 log(3x + 6) + 5. Then identify the key features of the…

A:

Q: log 57 %3D

A:

Q: In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In…

A:

Q: The students of Applied Mathematics at Western University collected data from a creature living on…

A: The relationship is determined by the slope of the line in the log-log plot. If the slope is 1, the…

Q: Use logarithm properties to find if

A:

Q: Use your calculator to find the x-coordinate of the point of intersection of the two lines. Input…

A: Solve the following

Q: Express the following exponential equations in a logarithmic scale and therefore generate the…

A:

Q: Do these equations represent exponential growth or exponential decay? y=4 ⋅ (1.13)x y=182 ⋅ (0.9)x

A: Given, function is y=41.13x. Find y values for x=1, x=2. For x=1, y=41.131=4.52 For x=2,…

Q: Rewrite each equation in: 11. exponential form log4 = -2 16 12. log form = 16 112

A: 11 Given equation is log4116=−2. We have to write the given equation in exponential form. Use log…

Q: 10. Sketch the curve y = 7a showing clearly the behayior of the curve near its asymptotes and x+2…

A: Given  curve is y=x+2x+1.

Q: Satterplot A Scatterplot B Scatterp Bacteria Growth Bacteria Growth Bacteria C 600 7.0 7.0 500 6.0…

A: The best model that would fit the bacteria growth is to be identified through visual inspection from…

Q: 3 A collector buys a painting for $100,000 at the beginning of 1995 and sells it for $150,000 at the…

A: Note that we need to find out effective yield here which is the annually compound interest rate that…

Q: Log.(50) = %3D

A:

Q: A population of 200 rodents is growing at a rate of 5% per month. What equation model can represent…

A: The exponential growth or decay is modelled using the equation, f(t)=a(1±r)t, where a is the initial…

Q: The students of Applied Mathematics at Western University collected data from a creature living on…

A: The relationship is determined by the slope of the line in the log-log plot. If the slope is 1, the…

Q: Determine the equation of the orthogonal trajectories of the curves y² = cx³

A: Given Equations of the family of curves is y2=cx3 Here c is an arbitrary constant.

Q: The population of a certain inner-city area is estimated to be declining according to the model P()…

A: The given problem is to predict the population after 6 years with the given population model…

Q: Use the data in the accompanying table to find the logarithmic regression equation to the nearest…

A: To fit a logarithmic regression equation to the given data, the form of the model will be…