Answer:50
Step-by-step explanation: simplify
The question asks per week. So 1.5 cups times 7 days is 10.5 cups.
The pipe leaks 10.5 cups every week.
Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:

In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.
Our initial amount <em>a </em>is 185 grams.
So, by substitution, we have:

Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.
We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:

Evaluate:

So, after six half-lives, there will be approximately 3 grams left.
Answer:
B. 81 weeks
Step-by-step explanation:
If we plug everything into the equation it should look like this:

Then we would subtract 1 from both sides, then we are left with <em>w:</em>
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<em>Hope this helps!</em>