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Reika [66]
3 years ago
12

Evaluate the function at the given value of the independent variable. Simplify the results. (If an answer is undefined, enter UN

DEFINED.) f(x) = x3 − 49 x f(x) − f(7) x − 7 =
Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer: Undefined maybe

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Find the measure of 46.<br> 46 = [?]<br> 24°<br> 46
weqwewe [10]

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

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3 years ago
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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 ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

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

  250 mL +24 mL = 274 mL

_____

* 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.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0
3 years ago
Evaluate the expression \dfrac{x^5}{x^2} x 2 x 5 ​ start fraction, x, start superscript, 5, end superscript, divided by, x, squa
Elza [17]

Answer:

  8

Step-by-step explanation:

Fill in the variable value and do the arithmetic.

  \dfrac{2^5}{2^2}=\dfrac{32}{4}=8

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Of course, the fraction can be simplified first:

  \dfrac{x^5}{x^2}=x^{5-2}=x^3\\\\2^3=8

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The ratio of black bags to blue bags is 5 to 3. If there are a total of 10 black bags, then how many blue bags are there?
pychu [463]

Answer:

There should be 6 blue bags.

Step-by-step explanation:

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3 years ago
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