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3 years ago

Bricen typed 1/5 of his essay in 2/5 hours. At this rate, how long will it take Bricen to complete typing his essay?

Mathematics

2 answers:

Tom [10]3 years ago

8 0

The answer is 12/5 hours because 2/5 hours times 5 equals 12/5

dexar [7]3 years ago

4 0

Answer: 10 hours

Step-by-step explanation: in 2 hours he can get 1/5 of his work dont but 2 times 5 equal 10

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SOME HELP PLSS THANK U

vladimir2022 [97]

Letter D is the correct answer

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3 years ago

Which quadratic equation fits the data in the table? (PICTURE OF TABLE ATTACHED)

Paha777 [63]

The correct quadratic equation for that set of points is:
$y=x^2+7x+1$

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3 years ago

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Vlad1618 [11]

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2 years ago

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$