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3 years ago

4x to the 3 power(-12x to the -3 power

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

4x^3 -12x^-3
That's it, that's all you can do.

Hope this helps :)

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The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho

Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

$y = mx+b$

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the temperature

Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

$y = mx+b$

$y = -3x + 10$

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

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3 years ago

in 2010 , a city's population was 55,210 and it was declining at a rate of 1.09% each year. which is the best prediction for whe

Anon25 [30]

Answer: 2023

Step-by-step explanation:

Since, the initial population of the city is 55,210,

And, it is declining at a rate of 1.09%.

Thus, the function that shows the population after x years since 2010 is,

$f(x) = 55210(1-\frac{1.09}{100} )^x$

$f(x) = 55210(1-0.0109)^x$

$f(x) = 55210(0.9891)^x$

If the population of town is 48000 in x years.

⇒ $55210(0.9891)^x= 48000$

⇒ $(0.9891)^x= 0.869407715993$

⇒ $x = 12.769$

Therefore, after 12.769 years the population of town will be equals to 48,000

⇒ After 12.770 years the population will first be below 48,000.

⇒ After approx 13 years the population will first below 48,000.

⇒ Around 2023 the population will be first below 48,000.

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I got the one that truck was coming up and

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