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Rina8888 [55]
3 years ago
11

Put the numbers in order from least to greatest.

Mathematics
2 answers:
uranmaximum [27]3 years ago
7 0

2.6 × 10-2, 6.2 × 10-1, 3.5 × 102, 1.5 × 104 is the answer took the test got a 100


trasher [3.6K]3 years ago
6 0

Answer:- C is the right option


Explanation:-

Rewrite the given numbers in usual form

1.5\times10^4=1.5\times10000=15000

2.6\times10^{-2}=2.6\times\frac{1}{100}=0.026

3.5\times10^2=3.5\times100=350

6.2\times10^{-1}=6.2\times\frac{1}{10}=0.62

The numbers in order from least to greatest

\rightarrow0.026,0.62,350,15000

OR

2.6\times10^{-2},6.2\times10^{-1},3.5\times10^2,1.5\times10^4

∴ C is the right option.

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a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
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Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

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