Answer:
The Answer is B.
Step-by-step explanation:
Answer:
25 minute
Step-by-step explanation:
Speed is the ratio of the total distance traveled to the total time taken to reach this distance. The formula for speed is:
Speed = total distance / total time taken
The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:
Speed = total distance / total time taken
speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.
We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)
speed = distance / time
12 ft/minute = 300 ft / time
time = 300 ft / (12 ft/minute)
time = 25 minute
Answer: y =
x + 1
Step-by-step explanation:
First, we will find the slope. The slope of perpendicular lines are negative reciprocals.
In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is
.
Now, we will plug in this new slope, the point given, and solve for the <em>b</em>, or the y-intercept.
y = <em>m</em>x + <em>b</em>
(-1) = (
)(4) + <em>b</em>
-1 = -2 + <em>b</em>
1 = <em>b</em>
Lastly, we will write our equation.
y = <em>m</em>x + <em>b</em>
y =
x + 1
The line is y =
x + 1, or y = 1 -
.
Answer:
The formula to find the nth term of the given sequence is 54 · 
Step-by-step explanation:
The formula for nth term of an geometric progression is :

In this example, we have
= 36 (the first term in the sequence) and
r =
(the rate in which the sequence is changing).
Knowing what the values for r and
are, now we can solve.
=
= 54 · 
Therefore, the formula to find the nth term of the given sequence is
54 · 
5x^4(x^3+8x+6) this is the correct answer