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8 months ago

(Scientific Notation in the Real World MC)

Mathematics

1 answer:

Brrunno [24]8 months ago

5 0

The average number of viewers over the two week is D. 4.85 x 10^5.

<h3>How to calculate the value?</h3>

It should be noted that the scientific notation simply has to do with writing of numbers that are either too large or too small. This will be illustrated thus:

In this case, the TV show had 5.6 x 10^5 viewers in the first week and 4.1 x 10^5 viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= (5.6 × 10^5) + (4.1 × 10^5) / 2

= 4.85 × 10^5

Note that we had to divide by 2 since it's average.

Learn more about notation on:

brainly.com/question/5756316

#SPJ1

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And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell v

klasskru [66]

Answer:

$P(x) = -0.25x^2 + 42x - 90$

Step-by-step explanation:

Given

$C(x) = -17x + 90$

$R(x) =- 0.25x^2 + 25x$

Required

Determine the profit function.

Profit function is calculated as thus:

$P(x) = R(x) - C(x)$

So, we have:

$P(x) = -0.25x^2 + 25x -(-17x + 90)$

$P(x) = -0.25x^2 + 25x + 17x - 90$

$P(x) = -0.25x^2 + 42x - 90$

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2 years ago

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

I NEED HELP ASAP PLEASE

Naddika [18.5K]

I think you would put 570 in the blank since 19 x 3 = 57

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2 years ago