Hello!
hint: we can rewrite your function as below:
<span>3/<span>tan<span>(<span>4x−3π</span>) = </span></span></span>3(1+tan4xtan3π)/tan4x−tan3π =
=<span>3/<span>tan<span>(<span>4x</span>) = </span></span></span>3cot<span>(<span>4x</span><span>)
</span></span>now, since the period P of cotangent function is pi, then the period of cot(4x), which is the period of our original function, is such that:
<span>"4P=π"
Hope this Helps! Have A Wonderful Day! :)</span>
$291-$210=$81
$81/0.15= 540 miles
I believe the answer is 540 mi.
By translating a shape, you are basically moving it around the graph. For example, one of the points of your shape could be on the origin (0,0). You could then translate it 4 units up and 6 units to the left. You would write this translation as (x-6, y+4). If you were starting at (0,0) your point translation would be at (-6, 4), but if you were to translate a point at (1, 1) your translated point would be at (-5, 5).
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
ANSWER
6.4 hours
EXPLANATION
if it takes 10 hours to get 50%, then it will take less number of hours to get 32%
We use proportion to solve this question.
If less more divides.
The number of hours it will take to get 32% is
Hence it will take 6.4 hours to get 32%
