The key calculation in this problem is figuring out <em>how many times 80 goes into 1,000,000</em>. I'll build up in steps here.
80 x 5 = 400. This gives us a building block on our way to 1,000,000. From here, we can go further and say that 400 x 5 = 2,000; that 2,000 x 5 = 10,000; and finally that 10,000 x 100 = 1,000,000. Altogether, starting from 80, that's
80 x 5 x 5 x 5 x 100 = 80 x 25 x 500 = <em>80 x 12,500</em>
So, since 80 goes into one million 12,500 times, it takes 12,500 minutes for the animal's heart to beat that 1,000,000 times.
Answer:
r = 45 m.
Step-by-step explanation:
pi r^2 = 6358.5
r^2 = 6358.5 / pi
r = √(6358.5 / pi)
= 44.989 m
Answer: Choice A
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Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality 
would have the boundary line 
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
Answer:
10 years
Step-by-step explanation:
We can use the equation for simple interest: <em>I = P(1 + (R*T))</em>, and change some of the numbers: <em>2P = P(1 + (0.11*T))</em>
Divide: <em>2 = 1 + (0.11*T)</em>
Subtract: <em>1 = 0.11*T</em>
Divide: <em>T = 100/11 ≈ 9.09</em> ⇒ 10 years (rounded up because it won't be doubled until the next year)
<span> the answer is 0.66666666666 </span>
