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2 years ago

Can someone please help me???

Mathematics

1 answer:

Pavel [41]2 years ago

7 0

Answer:

Step-by-step explanation: Can someone please help me???

What is the solution to −2x+8≥4?

x≤2x is less than or equal to 2

x≥2x is greater than or equal to 2

x≤−6x is less than or equal to negative 6

x≥−6

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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

2 years ago

Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. T

Dmitrij [34]

Answer:

<h2>Ian will have enough money to buy the gift</h2>

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

4 0

2 years ago

A triangle has an area of 160 square inches. If it has a height of 10 inches, what is its base length?

inn [45]

Answer:

The answer is:

32 inches

Step-by-step explanation:

The reason to why is because a triangle's area is always length times height divided by 2. In this case we need to reverse the steps and multiply 160 by 2 to get 320. Then divide the area of 320 by 10 to get 32 inches to be the base length.

Hope you have a wonderful day :)

6 0

3 years ago

Solve the following -1/2x(8x +4)

antoniya [11.8K]

Combine like terms to get -4x^2-2x

3 0

2 years ago

What is the product for -3/9 and -56/80

Sergeu [11.5K]

Answer:

7/30

Step-by-step explanation:

-3/9 * -56/80

-3/9= -1/3

-56/80 = -7/10

-1/3(-7/10)

1(7) / 3(10)

7/30 or 0.2333

5 0

2 years ago