Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed = 
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed =
= 50mph
learn more:
Speed and motion brainly.com/question/10048445
#learnwithBrainly
Answer:

Step-by-step explanation:
Let
be an acute angle.
To solve:
, we take the sine inverse of both sides to obtain:

Recall composition property of a function and its inverse function.

We apply this property to the left hand side to obtain;

We now use our scientific calculator to obtain;

We round to the nearest tenth to obtain;

Answer= H (-1, -4)
Explanation= 6(-1) - 5(-4) = 14
(-6) + (20) = 14
14=14 * it works !
GOODLUCK!
Luke has a 4 out of 7 chance to get a bluebonnet and Josie has a 3 out of 7 chance to get a sunflower