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ss7ja [257]
3 years ago
9

7. Find the slope of the line that passes through the two given points. (-2,-1) and (-4,-7)

Mathematics
1 answer:
serious [3.7K]3 years ago
6 0

Answer:

3

Step-by-step explanation:

m = \frac{-1 - (-7)}{-2 - (-4)} = \frac{-1 +7}{-2 + 4} \\m = \frac{6}{2}\\m = 3

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A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus
Ne4ueva [31]

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

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So, the total volume of the infusion is ...

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_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

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3 0
3 years ago
"Trigonometric Models" (50 POINTS)<br> Is my graph right?
ch4aika [34]

Answer:

Yes, this graph is absolutely right for the function y = 2\sin(2x)-3.

Step-by-step explanation:

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Use the standard form a\sin(bx-c)+d to calculate the values of amplitude, period, phase shift, vertical shift.

here a = 2

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phase shift = \frac{c}{b} = 0

and vertical shift = d = -3

so, by using this information, if we plot the graph then the graph obtained will be same as the given graph.

6 0
2 years ago
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