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3 years ago

Mr Brown has a family Railcard

Mathematics

2 answers:

igomit [66]3 years ago

7 0

What he bout to do wit that railcard ?

timama [110]3 years ago

6 0

Good for mr brown. I wish I had a rail card

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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

(10+7)+30=47 what property is that?

chubhunter [2.5K]

17+30=47
47=47
That is the associative property of addition

4 0

3 years ago

Read 2 more answers

Amelia wants to paint three walls in her family room two walls are 26 feet long by 9 feet wide the other wall is 18 feet long by

Svetllana [295]

26 by 9
Area = L*W
Area = 26 * 9
Area = 234 square feet but there are 2 such walls
Area = 234 * 2
Area = 468 square feet total for these walls.

18 by 9
Area = L*W
Area = 18 * 9
Area = 162 square feet

Total area = 468 + 162 = 630 square feet.

1 gallon covers 250 square feet
x gallon covers 630 square feet

1/x = 250/630
250 x = 1 * 630
x = 630 / 250
x = 2.52 gallons. It is best that she buy 3 gallons of paint.

7 0

3 years ago

THIS QUESTION IS WORTH 33 POINTS!! PLEASE PLEASE HELP ME

3241004551 [841]

It's less than a whole number like 2/1 times 1/2 is 2/2 or 1

6 0

3 years ago

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What is the volume of a hemisphere with a radius of 3 cm, rounded to the nearest tenth of a cubic centimeter?

Kaylis [27]

Formula: V = (2/3) π r 3.

Radius is 3cm.

So, now we can plug it in to solve for the volume.

V = (2/3) π 3^3

First, let's multiply 3^3.

3^3 = 27

Then, 27 x π = 84.82

After, multiply by 2/3.

84.82 x 2/3 = 56.55

Lastly, round 56.55 to the nearest tenth of a cubic centimeter.

56.55 = 56.6

Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.

8 0

2 years ago

Read 2 more answers