Physics Test 1 Flashcards
If exponents are multiplied with the same base, what do you do with the exponents?
Add them
If exponents are being divided with the same base, what do you do with the exponents?
Subtract them
What do you do with a base and exponent raised to another power?
Multiply the exponents
What is the constant e?
2.78
What is the constant pi?
3.14
x=log10 (y) means what?
10 to what power =y?
Or
10^?=y
Log 1=?
0
Log 10=?
1
Log 100= ?
2
Log 10^n= ?
N
Log (1/10) = ?
-1
What is the base of nature log (ln)?
e
Rephrase: ln(128)
e to what power = 128
ln (1) = ?
0
ln (1.28)= ?
1
log (AxB) = ?
log (A) + log (B)
Log (A/B) = ?
Log (A) - log (B)
Log (A^B) =
B x log (A)
What is the inverse of log (x)?
10^x
What is the inverse function of ln (x)?
e^x
In a Semi-Log graph, what does movement along the y-axis signify if it is a graph with a linear y-axis?
Adding or subtracting constant amount
In a semi log graph, what does movement along the y-axis signify if the graph has a logarithmic y-axis?
Multiplying or dividing a constant amount
What is the formula for exponential growth?
A=Pe^rt
What are the variables in the exponential growth formula?
A=amount
P=principle (starting amount)
e=base of natural logarithm
r=annual interest rate
t=time in YEARS
What is the formula for circumference of a circle?
pi x d
Or
2pi x r
What is the formula for Area of a circle?
A= pi(r^2)
What is the formula of volume of a sphere?
4/3 pi * r cubed
What is the formula of surface area of a sphere?
4 pi r squared
Triangles are similar if:
All angles are the same
What is the formula for force?
F= ma