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3 years ago

Six carpenters can build six dog houses in six days. how many days will it take three carpenters to build two dog houses

Mathematics

1 answer:

patriot [66]3 years ago

6 0

It would take 4 days for them to build the houses.

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

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

Which equation represents the line that passes through points (1, –5) and (3, –17)?

notsponge [240]

Answer:

equation : y= -6 + 1

Step-by-step explanation:

7 0

3 years ago

Does anyone know how to solve a system of linear equations using elimination? I am having a hard time on how to do it for differ

Mariana [72]

1. Multiply each equation so they end up with the same coefficient

2. Subtract your second equation from the first

3. Solve for one of the variables (I tend to solve an equation that only contains 2 variables if possible. So it would be if you have one question with x and y, solve for the easier one)

4. Substitute the variable you found in the least step into one of the other equations and find a second variable.

5. Substitute both variables you found into the last equation and there you should be left with x, y, and z :))

I hope this helped sksjsk if it didn’t I could write it out to hopefully help more :)

3 0

3 years ago

Please Help Determine the period of the following graph.

Murljashka [212]

Answer:

4π

Step-by-step explanation:

The period represents the distance, horizontally, between two matching points on the curve, such as two peaks. We can see that one peak is at π, and another at 5π, with the difference being 5π-π = 4π as our period

3 0

3 years ago

What answer should be reported if 0.57 cm is subtracted from 10.003 cm?

Yuki888 [10]

9.433. I hope this helped you!

6 0

4 years ago

Read 2 more answers