1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
3 years ago
12

What happens when you log transform the dependent data in an exponential growth curve?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0
The obtained transformed data will show a linear relation when you graph log(y) vs x

This is the mathematical demonstration:

Exponential function: y= A (B)^x
log(y) = log A + x log B
log(y) = log A + (logB)x

log A is a constant and is the vertical axis-intercept
logB is a constant and is the slope of the graph
x is the independent variable

log A is a constant,

 


You might be interested in
Evaluate the definite integral using the graph of f(x)<br> (Image included)
Tanya [424]

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

\displaystyle \int_5^9 f(x) \, dx = -4\times5 = -20

Then by linearity, we have

\displaystyle \int_0^9 f(x) \, dx = \left\{\int_0^3 + \int_3^5 + \int_5^9\right\} f(x) \, dx = \frac{15}2 + 0 - 20 = \boxed{-\frac{25}2}

8 0
2 years ago
What is the slope? I'll marl the first correct answer brainliest. Please.
Leno4ka [110]

Answer:

the slope is 0, 2, 4, 6, 8 , and 10

Step-by-step explanation:

6 0
3 years ago
(: Please answer both questions :)<br>First person gets 50 points!
Lemur [1.5K]

Answer:

1. 1350

2.2700

Step-by-step explanation:

4 0
3 years ago
What is a quadrilateral with four congruent sides
Verdich [7]
That's a <em>rhombus</em>.  If it has one interior right angle, then
it's a special case of rhombus known as a "square".
6 0
3 years ago
Find the distance between the points (6,-4) and (0,5)
IrinaK [193]

Answer:

d = 10.8167

Step-by-step explanation:

The distance between two points can be easily found by using the following expression

d = √((x1-x2)^2 + (y1-y2)^2)

where

(x1,y1) = (6,-4)

(x2,y2) = (0,5)

d = √((6-0)^2 + (-4-5)^2)

d = √(36 + 81)

d = √(117)

d = 10.8167

4 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP !!!!!!!
    6·2 answers
  • Charles is going to buy 3 computer tables for 390$. If he pays the same rate, how much would it cost for 8 computer tables?
    5·1 answer
  • 3x+4x+5=19 what is the solution for x
    15·1 answer
  • A cup got 1/4 of juice the 6 cups . how many days will it last
    9·1 answer
  • What’s the exponent form of 2*2*5*5
    6·1 answer
  • Kayla took her bike to a path is 2 and 3/4 miles in length. Kyla completed 3 and 1/2 laps before she had to take a break. How ma
    9·1 answer
  • Find the slope of the line with these two pair of points (10,-5) and (8,-7)
    8·1 answer
  • The interest rate a credit card company gives you when you first get your credit card can never be changed, even if your credit
    14·1 answer
  • When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
    15·1 answer
  • If it takes two people six hours to paint a room, how long will it take four people
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!