9514 1404 393
Answer:
250 days
Step-by-step explanation:
If the number of drops increases by a factor of 20/8, the expected life will decrease by the inverse of that factor: 8/20.
The expected life is (8/20)(625 days) = 250 days.
Answer:
See below.
Step-by-step explanation:
So, we have:

Recall that secant is simply the reciprocal of cosine. So we can:

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.
Therefore, the possible values for theta is
5π/6 +2nπ
and
7π/6 + 2nπ
Answer:


This means that the family must travel for at least 4 days.
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Step-by-step explanation:
Given


Required
Determine and solve the inequality
The number of days is represented with D
So:
On any D number of days, the family would have covered a distance of 350 * D miles
If the total distance is at least 1400, then the inequality is:

[The term "At least" is used to represent <em>greater than or equal to</em>]

Divide through by 350



<em>This means that the family must travel for at least 4 days.</em>