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3 years ago

11

Hey help me pls i need help

1 answer:

Reptile [31]3 years ago

5 0

=5/4 x 4/3
=20/12
Ans= 1 8/12 (or 1 2/3 in simplest form)

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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:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

l is length
w is width

<u>Calculus</u>

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:

<u>Step 1: Define</u>

<u /> $\displaystyle l = 10 \ meters$ <u />

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

<u /> $\displaystyle w = 23 \ meters$ <u />

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

<u />

<u>Step 2: Differentiate</u>

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

<u>Step 3: Solve</u>

[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 of the ordered pairs are functions

kap26 [50]

Answer:

c

Step-by-step explanation:

4 0

3 years ago

A salesperson earns a 10% commission on the selling price of each vehicle after a $2,000 dealership fee is deducted from that pr

Ipatiy [6.2K]

Answer:

Salesprice =$25000

Step-by-step explanation:

comission=$ 2300;10

salespreice=x:100

x=2300*100/10=$23000

dealership fee= $2000

salesprice= $25000

5 0

4 years ago

Find the midpoint of the segment from point a (6,3) to point B (8,1)

velikii [3]

Answer: $M=(7,2)$

Step-by-step explanation:

You need to use the following formula:

$M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})$

Given the points A(6,3) and B(8,1), you can identify that:

$x_A=6\\x_B=8\\y_A=3\\y_B=1$

Now, you can substitute these values into the formula $M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})$ .

Therefore, you get this result:

$M=(\frac{6+8}{2},\frac{3+1}{2})$

$M=(7,2)$

5 0

4 years ago

Read 2 more answers

What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?

Lelu [443]

Answer:

y = -3x - 11

Step-by-step explanation:

Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.

Point-slope formula: y - y = m(x - x)

Plug in the slope and point

y - (-5) = -3(x - (-2))

Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.

y + 5 = -3x - 6

Subtract the 5 from both sides

y = -3x - 11

The equation of the line is y = -3x - 11

7 0

3 years ago