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MissTica
3 years ago
10

vitamin C comes in pills with a strength of 500 mg. how many pills would you need to make if you want a dosage 2 grams?

Mathematics
2 answers:
Anni [7]3 years ago
7 0
The answer is 4 pills.
Inessa [10]3 years ago
5 0

1 gram = 1000 mg

So, 2 gram =2000 mg , 4 pills

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If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
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inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
Wrens first display box is 6 inches long,9 inches wide,and 4 inches high.what is the volume of the display box
Virty [35]
To find the volume, multiply length x width x height.
So you multiply 6 x 9 x 4. 

So the volume of the display box is 216 inches cubed.
3 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment with the given endpoints.<br> (-4,-2) (3, 3)
sergiy2304 [10]

Answer : - 4 + 3 = - 1

- 2 + 3 = 1

By half gives - 1/2 and 1/2

So midpoint (-1/2, 1/2)

6 0
2 years ago
What is the slope of the line represented by the equation y = -1/2x + 1/4?
Murrr4er [49]

Answer:

<em>m=-1/2</em>

Step-by-step explanation:

The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.

Therefore the slope is -1/2.

7 0
3 years ago
Read 2 more answers
What is the probability that both ties he chooses are solid white
4vir4ik [10]

Answer:

\frac{1}{25}

Step-by-step explanation:

Total outcome is 10

Favorable outcome is 2

The probability to choose solid white tie is \frac{1}{5}

The probability that both ties he chooses are solid white is

\frac{1}{5} × \frac{1}{5} = \frac{1}{25}

3 0
3 years ago
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