An object with a positive electric charge will be attracted to what? *

An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a ra

lukranit [14]

Answer:

$\frac{dA}{dt} = 28800 \ m^2/year$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Area of a Rectangle: A = lw

Algebra I

Exponential Property: $w^n \cdot w^m = w^{n + m}$

Calculus

Derivatives

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Area is A = lw

2w = l

w = 300 m

$\frac{dw}{dt} = 24 \ m/year$

Step 2: Rewrite Equation

Substitute in l: A = (2w)w
Multiply: A = 2w²

Step 3: Differentiate

Differentiate the new area formula with respect to time.

Differentiate [Basic Power Rule]: $\frac{dA}{dt} = 2 \cdot 2w^{2-1}\frac{dw}{dt}$
Simplify: $\frac{dA}{dt} = 4w\frac{dw}{dt}$

Step 4: Find Rate

Use defined variables

Substitute: $\frac{dA}{dt} = 4(300 \ m)(24 \ m/year)$
Multiply: $\frac{dA}{dt} = (1200 \ m)(24 \ m/year)$
Multiply: $\frac{dA}{dt} = 28800 \ m^2/year$

3 0

3 years ago

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The temperature at the surface of the Sun is approximately 5,300 K, and the temperature at the surface of the Earth is approxima

N76 [4]

Answer:

The entropy change of the Universe that occurs is 19.346 J/K

Explanation:

Given;

temperature of the sun, $T_s$ = 5,300 K

temperature of the Earth, $T_E$ = 293 K

radiation energy transferred by the sun to the earth, E = 6000 J

The sun loses Q of heat and therefore decreases its entropy by the amount

$\delta S_{sun} = \frac{-Q}{T_s}$

The earth gains Q of heat and therefore increases its entropy by the amount

$\delta S_{Earth} = \frac{-Q}{T_E}$

The total entropy change is:

$\delta S_{Earth} + \delta S_{sun} = \frac{Q}{T_E} -\frac{Q}{T_S} \\\\ = Q(\frac{1}{T_E} -\frac{1}{T_S} )\\\\= 6000(\frac{1}{293} -\frac{1}{5300} )\\\\=6000(0.0032243)\\\\= 19.346 \ J/K$

Therefore, the entropy change of the Universe that occurs is 19.346 J/K

4 0

3 years ago

Help pls you don't have to answer all

miskamm [114]

Answer:

5. The 2 features we need to harness the energy from tides are when tides come in and when tides come out.

6. Tidal energy is the most predictable type of renewable energy is because we know the exact locations of the sun and moon all year round.

6 0

4 years ago

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The jet stream flows from east to west across the United States. True False

velikii [3]

This is false. they flow west to east

8 0

4 years ago

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PLEASE HELP. I NEED THIS FOR TOMMOROW. WILL GIVE BRAINLIEST

Fantom [35]

Ansthethethethethe

the is the is

Explanation:

3 0

2 years ago