Answer:
100 + 60 + 8 + 0.7
Step-by-step explanation:
Expanded form or expanded notation is a way of writing numbers to see the value of individual digits.
<u>During the first hour</u> . . .
5% of the 1,000 bacteria die. At the end of the hour, 95% of them are left.
95% of 1,000 = 950
Then 100 are added : 950 + 100 = 1,050
<em>1,050</em> bacteria swimming around in the soup as the second hour begins.
<u>During the second hour</u> . . .
5% of the 1,050 bacteria die. At the end of the hour, 95% of them are left.
95% of 1,050 = 997.5
Then 100 are added : 997.5 + 100 = 1,097.5 . . . . . <em>1,098</em> rounded
===================================
<u>Playing with this some more</u>:
If the same process continues, and the result at the end of each hour
is rounded to the nearest whole number, then the number of bacteria
steadily increases, but only for 88 hours. At the end of the 88th hour,
there are 1991 of the little critters, and after that, the population stays
constant at 1991. That's because the 5% loss during each hour after
that is (5% of 1,991) = 99.55 , which rounds to 100, and those are
replaced by the 100 new ones.
15% of 15% of 15% of 500 is 1.6875. 45% of 500 is 225. The difference between both numbers is that 225 is much larger than 1.6875. In fact 225, is 133 1/3 times larger than 1.6875. The more you repeated 15% of a number, the smaller it got, compared to 45% of the number, where it was larger than that number you kept reducing by percentages.
Answer:
D. 2
Step-by-step explanation:
soh cah toa rule
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
csc is 1/sin which is hypotenuse over opposite
if csc is -√5/2 then
hypotenuse is -√5
opposite is 2
3rd quadrant on a graph is bottom left
both x and y values are negative
hypotenuse means its a triangle
pythagorean theorem
a^2 + b^2 = c^2
a^2 + 2^2 = (-√5)^2
a^2 + 4 = 5
a = 1 = adjacent
tangent equals opposite over adjacent
tan is 2 / 1 which is 2
third quadrant means it's still positive
because tan is positive in quadrant 3
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