Remember that you cannot take the log of a negative number, regardless of the base. Also, you can take the logarithm of zero, since no number raised to a power can equal zero (although it come very close).
Therefore, (x+3), the number inside the logarithm, must be greater than zero.
x+3 > 0
x > -3
The domain is x > -3,
or (-3, ∞) in interval notation
Answer:
3) 174°15'18"
4) 34.859722...(repeating)°
5) 434°, -286°
Step-by-step explanation:
There are 60 minutes in a degree, and 60 seconds in a minute.
3) To find minutes, multiply fractional degrees by 60:
.255° = 0.255°×(60'/1°) = 15.3'
To find seconds, multiply fractional minutes by 60:
0.3' = 0.3'×(60"/1') = 18"
Then the whole angle is ...
174.255° = 174° 15' 18"
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4) The conversion works the other way, too.
34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°
= 34.8597222...° (a repeating decimal)
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5) Add or subtract multiples of 360° to get co-terminal angles.
74° +360° = 434°
74° -360° = -286°
Answer:
$21
Step-by-step explanation:
Given data
Principal= $20
Rate = 5%
time= 1 year
Required
The final amount A
Applying the simple interest formula
A= P(1+rt)
substitute
A=20(1+0.05*1)
A=20(1.05)
A=20*1.05
A=$21
Hence she will earn $21
Answer:
4x +3y = 10
Step-by-step explanation:
The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.
The equation for the perpendicular line through point C(4, -2) can be written as ...
Δx(x -4) +Δy(y -(-2)) = 0
4(x -4) +3(y +2) = 0
4x +3y -10 = 0 . . . . . . general form equation for the line
4x +3y = 10 . . . . . . . . .standard form equation for the line
7x8÷4x37x8÷4x3 = 3108/1 = 3108
