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Rom4ik [11]
2 years ago
12

A cup of coffee is served to you at 185 F in a room where the temperature is 65 F. Two minutes later the temperature of the coff

ee has dropped to 155 F. How many more minutes would you expect to wait for the coffee to cool to 105 F?
Mathematics
1 answer:
Rina8888 [55]2 years ago
6 0
It will need to wait for 5 minute
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Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form.
amm1812

Answer:

Step-by-step explanation:

complex roots always occur in pairs.

roots are 1,2-2i,2+2i

P(x)=a(x-a)(x-b)(x-c)

P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]

=1(x-1)[(x-2)+2i][(x-2)-2i]

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=(x-1)[x²-4x+8]

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2 years ago
I need some help please
Diano4ka-milaya [45]
What’s your question
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2 years ago
I need help with questions 1,2, and 3. Would gratefully appreciate it (:
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Answer:

Step-by-step explanation:

(2):

First let's organise the data:

33 miles ... x mph ... 4h - downstream

33 miles ... y mph ... 7h - up the stream

x = 33/4 = 8.25 mph

y = 33/7 = 4.71 mph

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P(x) = x^2 - 2x - 3

To find the amount of key rings sold when the profit is 5000$ we have to equate P(x) with 5, because in the problem the profit of the key rings is displayed in terms of thousands.

x^2 - 2x - 3 = 5\\x^2 - 2x - 8 = 0\\x_1 = 4, x_2 = -2

Since the number of keyrings sold has to be positive the only answer is 4 thousand key rings.

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