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Volgvan
3 years ago
7

What is the domain of g(x)?

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0
The domain of g(x) is A.All real numbers
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PLEASE AWNSER SOON IT'S DUE IN 10 MIN!
cupoosta [38]

Answer:

80 units

Step-by-step explanation:

3 0
2 years ago
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The quantity, Q, of a drug in the blood stream begins with 250 mg and decays to one-fifth its value over every 90 minute period.
Mazyrski [523]

Answer:

a=250 \, mg\\\\b=5\\\\T= 90'

Step-by-step explanation:

We have that Q(t) = a\cdot b^{-\frac{t}{T}} \\

Where t is the time (in minutes) and for the sake of dimensional consistency, let's assume that T is also in minutes, b is an adimensional number, and a is in mg.  So we will have Q in mg as a consequence.

We now want to find out what values these constants might take. Let's see what happens when t=0, that is, just as we start. At that point, we have that the amount of drug in the bloodstream must be equal to 250mg, thus:

Q(0)= a\cdot b ^{-\frac{0}{T} }=250\,mg\\Q(0)= a=250\,mg

We have found the constant a! It is the initial amount of drug! we have made use of the fact that any number raised to the 0th power is equal to one.

Now, we know that every 90 minutes, the amount of drug decreases to one fifth of its former value. How do we put this in mathematical form? Like so:

Q(t+90')=Q(t)/5

That is, 90 minutes after time t the amount of drug will be one fifth of the amount of drug at time t. Let's expand the last equation:

Q(t+90')=Q(t)/5\\\\a\cdot b^{-\frac{t+90'}{T} }=a\cdot b^{-\frac{t}{T} }/5\\\\ b^{-\frac{t+90'}{T} }=b^{-\frac{t}{T} }/5\\\\b^{-\frac{t}{T} }b^{-\frac{90'}{T} }=b^{-\frac{t}{T} }/5\\\\b^{-\frac{90'}{T} }=\frac{1}{5}

Now the last expression isn't enough to determine both T and b, but that also means that we have some freedom in how we choose them. What seems most simple is to pick T=90' and thus we will get:

b^{-1 }=\frac{1}{5}\\\\\frac{1}{b}= \frac{1}{5}\\\\b=5

And that is our final result.

3 0
3 years ago
Please help me ! thank you
denis-greek [22]

Answer:

57

Step-by-step explanation:

3 * 3 * 3 = 27 +       5*6 =30   27+30=57

Hope this helps!

8 0
2 years ago
Read 2 more answers
26. Figure B is the image of Figure A.
sweet [91]

The scale factor of dilation is \LARGE \frac{1}{4}.

<h3>What is scale factor?</h3>

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B =\frac{1}{2} * b *h

                                = 0.5 x 2 x 3

                               = 3 units

Area of triangle A =\frac{1}{2} * b *h

                                = 0.5 x 4 x 6

                               = 12 units

Scale factor =\frac{Area of \; triangle B}{Area of\; triangle A}

                    =\frac{3}{12}

                    = \frac{1}{4}

Hence, the scale factor of dilation is \LARGE \frac{1}{4}.

Learn more about scale factor here:

brainly.com/question/22312172

#SPJ1

5 0
2 years ago
Fred's cafe uses 2 bags of coffee every day. How long will 2/3 of a bag of coffee last?
Arte-miy333 [17]
1 and 1/3----------Hope I helped....
3 0
2 years ago
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