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2 years ago

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

1 answer:

lisabon 2012 [21]2 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

Terra cotta means "made from onyx." true false

Papessa [141]

Answer:

False

Step-by-step explanation:

Onyx is made for jewels.

5 0

2 years ago

Read 2 more answers

Triangle ABC is translated to create triangle DFG, as shown below.

Anton [14]

Answer:

$x=3$

$y = 9$

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

$AB = DF$

$BC = FG$

$AB = DF$ means:

$3(2x + 10) = 12x + 12$

Open bracket

$6x + 30 = 12x + 12$

Collect like terms

$12x - 6x = 30 -12$

$6x = 18$

Divide by 6

$x=3$

$BC = FG$ means

$2y + 12 = 2(2y - 3)$

Open bracket

$2y + 12 = 4y - 6$

Collect like terms

$4y - 2y = 12+6$

$2y = 18$

Divide by 2

$y = 9$

5 0

3 years ago

Solving a system of linear equations using the substitution method. 5x+4y=-26 5-x=-6y

yan [13]

Solve for x in 2nd equation
times -1 both sides
x-5=6y
add 5
x=6y+5

sub

5(6y+5)+4y=-26
30y+25+4y=-26
34y+25=-26
minus 25 both sides
34y=-51
divide both sides by 34
y=-3/2
sub back

x=6y+5
x=6(-3/2)+5
x=-18/2+5
x=-9+5
x=-4

(-4,-3/2) is solution

5 0

2 years ago

Read 2 more answers

mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days

4vir4ik [10]

Answer:

Most likely time, according to PERT (Program evaluation and review technique).

Step-by-step explanation:

PERT is "a statistical tool used in project management" (Program evaluation and review technique (2020), in Wikipedia), and it is commonly used with CPM (Critical Path Method) to manage projects.

Inside PERT, there are different defined times to accomplished an activity in a project, that is:

An optimistic time or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
A pessimistic time, a time quite the opposite to optimistic time.
A most likely time, or a time required to accomplished an activity if everything goes as expected or normally.
An expected time, an statistical estimation.

Considering the question, we have that the time when "the first module of the project could be completed":

"[...] in as few as 15 days" is the optimistic time.
"[...] or could take as many as 25 days" is the pessimistic time.
"[...] but most likely will require 20 days" is the most likely time.

As a result, the 20-day estimate is called the most likely time in the context of the PERT/CPM techniques.

3 0

2 years ago

Is Lamonts average above or under 90

denpristay [2]

83 + 94 + 79 + 97 + 96 + 87 = 536.
536 ÷ 6 = 89.333333...

So, Lamonts' average is under 90.

7 0

3 years ago