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3 years ago

What is the x-coordinate of point P on the coordinate grid?

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
$87 = C +52 \\ C = 35$

D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
$t = -31.95$

This is approximately 32 minutes before he arrived or about 1:20 AM

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2 years ago

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3 years ago

78. How can the polynomial, 18x^2 + 30x^6 be factored using the GCF?

dexar [7]

Answer:

6x^2(5x^4 +3)

Step-by-step explanation:

The greatest common factor of 18 = 3·6 and 30 = 5·6 is 6.

The greatest common factor of x^2 and x^6 is x^2.

Factoring 6x^2 from both terms, we get ...

... 18x^2 +30x^6 = 6x^2(3 +5x^4)

_____

<em>Comment on the question</em>

Since this answer is not among the answer choices, I suggest you ask your teacher to demonstrate how this problem is worked.

It appears as though the answers go with the problem 18x^9 +30x^6. Maybe there's a typo somewhere. For that problem, the best choice is the 2nd answer.

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Your digital camera printer printed 5 pictures in 7.5 minutes. At, this rate, how long will it take to print 18 pictures?

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It would take 27 minutes to print 18 pictures

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2 years ago

Choose at least three different careers you are interested in pursuing. Research the education level the career requires, the an

Nezavi [6.7K]

What’s the question? I think your table is already completed

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