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Arada [10]
3 years ago
5

le" class="latex-formula">
Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

x²-9=x²-3²=(x+3)(x-3)

Step-by-step explanation:

use formula

a²-b²=(a+b)(a-b)

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Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
30 &gt; -6(2X +3)<br> show me how to solve
MA_775_DIABLO [31]
<h3><u>x > -4 is the solution to this inequality.</u></h3>

30 > -6(2x + 3)

Distributive property.

30 > -12x - 18

Add 18 to both sides.

48 > -12x

Divide both sides by -12.

(Because we're dividing by a negative, the inequality sign flips.)

<h3><u>4- < x</u></h3>
6 0
3 years ago
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castortr0y [4]

Answer:

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Step-by-step explanation:

(x^4)^2

~Apply power rule [ (a^b)^c = a^bc ]

x^4(2)

~Simplify

x^8

Best of Luck!

6 0
3 years ago
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Please answer this question now
topjm [15]

Answer:

320 square inches

Step-by-step explanation:

4 * 1/2(8)(16) + 8*8 = 320

3 0
3 years ago
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What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
bija089 [108]

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

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4 0
3 years ago
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