Answer:
10,219 bacteria
Step-by-step explanation:
In this question, we are asked to calculate the population of bacteria in a culture given the formula for the population increase.
From the question, we know the formula to use is
Pt=Po*2^t/d
From the parameters in the question, we identify that Pt is ?, Po is 8300 bacteria , t is 3 hours and d is 10 hours which is the doubling time. Inserting these figures we have;
Pt = 8300 * 2^(3/10)
Pt = 8300 * 2^0.3
Pt = 10,218.5
Pt = 10,219 bacteria to the nearest whole number
The perimeter<span> of an </span>equilateral triangle<span> is 7 </span>inches more than<span> the </span>perimeter<span> of a </span>square<span>, and the </span>side<span> of the </span>triangle<span> is 5 </span>inches<span> longer </span>than<span> the </span>side<span> of the </span>square<span>. </span>Find<span> the </span>side of the triangle<span>. (Hint: An </span>equilateral triangle<span> has three </span>sides the same length<span>.</span>
Answer:
25 feet
Step-by-step explanation:
Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....
H² = A² + B²
H² = 20² + 15² = 400 + 225 = 625
H = 25 feet.
What I always do to solve this, is find a common factor for each number first.
Usually 4 or 5 works best. I'll use 4.
4 goes into 80 20 times, which means that 4 = 5% of 80.
If 4 = 5%, and 48 = 12 x 4, then 48 must equal 60% of 80.
(Another way to solve this problem is: simplify 48 / 80. This simplifies to 3/5.
3/5 = 60%)!
Answer:
98
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