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4 years ago

15

Help please I’m stuck on a few of these

1 answer:

Juli2301 [7.4K]4 years ago

6 0

Answer:

27

Step-by-step explanation:

Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.

Hope this helps!

INVERSE FUNCTIONS

If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.

BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.

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Translate the Sentance into an inequality<br>The difference of w and 5 is at least 19.

Fiesta28 [93]

Answer:

$w - 5 \geqslant 19 \\ thank \: yo$

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3 years ago

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In 2012, the world population was 7.02 billion. The birth rate had stabilized to 134 million per year and is projected to remain

xeze [42]

Answer:

$(a)\ \frac{dP}{dt} = 0.078- 0.000857t$

$(b)\ P = 0.078t- 0.0004285t^2 + 7.02$

$(c)\ 9.37\ billion$

Step-by-step explanation:

Given

In 2012

$P(t) = 7.02\ billion$

$R_1 = 134\ million/year$ --- Birth rate

$R_2 = 56\ to\ 80$ -- Death rate from '12 to '40

Solving (a): Equation for population from 2012

In 2012, we have the addition in population to be:

$\triangle P= Birth - Death$

$\triangle P= 134 - 56$

$\triangle P = 78$ million

From 2012 to 2040, we have the death rate per year to be:

$Rate/yr = \frac{80 - 56}{2040 - 2012}$

$Rate/yr = \frac{24}{28}$

$Rate/yr = \frac{6}{7}$ million/year

So, the differential equation is:

$\frac{dP}{dt} = \triangle P - Rate/yr * t$ where t represents time

$\frac{dP}{dt} = 78 - \frac{6}{7} * t$

$\frac{dP}{dt} = 78 - \frac{6t}{7}$

Express in millions

$\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}$

$\frac{dP}{dt} = 0.078- 0.000857t$

Solving (b): The solution to the equation in (a)

$\frac{dP}{dt} = 0.078- 0.000857t$

Make dP the subject

$dP = (0.078- 0.000857t)dt$

Integrate both sides

$\int dP = \int (0.078- 0.000857t)dt$

$P = \int (0.078- 0.000857t)dt$

This gives:

$P = 0.078t- \frac{0.000857t^2}{2} + c$

$P = 0.078t- 0.0004285t^2 + c$

Solve for c.

When t = 0; P = 7.02

So, we have:

$7.02 = 0.078*0- 0.0004285*0^2 + c$

$7.02 =0-0 + c$

$7.02 =c$

$c = 7.02$

So:

$P = 0.078t- 0.0004285t^2 + c$

$P = 0.078t- 0.0004285t^2 + 7.02$

Solving (c): The population in 2050

We have:

$P = 0.078t- 0.0004285t^2 + 7.02$

In 2050, the value of t is:

$t = 2050 - 2012$

$t = 38$

So, the expression becomes

$P = 0.078*38- 0.0004285*38^2 + 7.02$

$P \approx 9.37\ billion$

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3 years ago

How much did deshwan have withheld from his federal income tax

Marta_Voda [28]

Answer:

$4465.71.

Step-by-step explanation:

Explanation: The amount of federal income tax withheld is on Box 2 of the WW2 form.

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3 years ago

When the movie the hunger games was released it made $493,000 the first day. box sales continued to double every three days how

olchik [2.2K]

The movie was grossing $3,451,000 on the 15th day, just doubled the original amount every three days and got $3,451,000 or 493,000 * 7 = 3,451,000

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3 years ago

Plz help me with the questions plz

Ostrovityanka [42]

Which question 1,2,3

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3 years ago

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