Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding
:
The values of A are 2,2,4,5,5,6,7,7,8,10
There are 10 values which means that the Mean=Sum/10
=(2+2+4+5+5+6+7+7+8+10)/10
=56/10
=5.6
Part A: The coefficients (numbers) are 75 and 25, while the variables (letters) are x and y.
Part B: There are two terms, meaning that this expression is a <em>binomial</em>. The two terms are <em>75x</em> & <em>25y</em>
Part C: The term in the expression that shows the total earned from pizzeria is 75x, which, when simplified, will give you the pizzeria term.
hope this helps