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faltersainse [42]

3 years ago

11

10

1 answer:

Sonbull [250]3 years ago

7 0

Answer:

c

Step-by-step explanation:

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At the beginning of an environmental study, a forest covered an area of 1500 km. Since then, this area has decreased by 7.25% ea

WITCHER [35]

$\qquad \textit{Amount for Exponential Decay} \\\\ y=P(1 - r)^t\qquad \begin{cases} y=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ y=1500(1-0.0725)^t\implies y=1500(0.9275)^t$

5 0

2 years ago

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Assoli18 [71]

Answer:

3x/16+1/4

Step-by-step explanation:

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3 years ago

3<br>Which of these is equivalent to 4<br>81 <br>64 <br>44 <br>12

jek_recluse [69]

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8 0

3 years ago

Identify the cross section of the solid shown in the image.

jonny [76]

Answer:

Rectangle

Step-by-step explanation:

7 0

3 years ago

Solve 2x2 + 4x = 30 using the Quadratic Formula.

Maslowich

Answer:

$x=-5, 3$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

<u>Step 1: Define equation</u>

2x² + 4x = 30

<u>Step 2: Rewrite into Standard Form</u>

2x² + 4x - 30 = 0

<u>Step 3: Define variables</u>

a = 2

b = 4

c = -30

<u>Step 4: Solve for </u><em><u>x</u></em>

Substitute: $x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}$
Evaluate: $x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}$
Multiply: $x=\frac{-4\pm\sqrt{16+240} }4}$
Add: $x=\frac{-4\pm\sqrt{256} }4}$
Evaluate: $x=\frac{-4\pm16 }4}$
Factor: $x=\frac{4(-1\pm4)}4}$
Divide: $x=(-1\pm4)$
Add/Subtract: $x=-5, 3$

And we have our final answer!

6 0

3 years ago