Answer:
The speed of the jet is 
Step-by-step explanation:
The speed traveled by the jet can be found using the relationship between distance and time. Because the problem gives the values for distance and time, they must be replaced in the equation and in this way the requested speed will be found.
1. Write the general equation for the speed:

2. Replace the values of distance and time on the general equation for the speed and make the mathematical operations:


Therefore the speed of the jet is 
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
I think that Luis would have to pay $22.50
Answer:
Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.
Step-by-step explanation:
Given : Expression 
To find : What is the first step in solving the expression ?
Solution :
Expression 
Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.
i.e. 
Apply the first step we get,

Therefore, Option C is correct.
Answer:
$ 2904.59
Step-by-step explanation:
For CONTINUOUS compounding FV = PV e^it
FV = future value PV = present value i = decimal interest t = years
FV = 2500 e^(.05 * 3) = 2904.59