2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
Answer:
y = 0.375x
Step-by-step explanation:
Let there are two variables, one independent variable x and another dependent variable y which are in proportionality relation.
So, y ∝ x
⇒ y = kx ........... (1) {Where k is the proportionality constant}
Let us assume that the given values of 4 and 1.50 are values of x and y respectively.
Hence, from equation (1) we get, 1.5 = 4k
⇒ k = 0.375
So, the proportionality equation is y = 0.375x (Answer)
Answer:
567 Miles
Step-by-step explanation:
Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:

Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
The line segment goes through (-2,3) and (1,-3).
The slope of the line is

Therefore the equation of the line segment is of the form
y = -2x + b
Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1
Answer: The equation is y = -2x - 1