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3 years ago

15

In math i kind of need to know if a whole number is greater then a whole number and decimal.Example:7.5 and 7. Witch one is grea

ter and how do i find out witch one is bigger

1 answer:

nydimaria [60]3 years ago

4 0

Answer:

7.5

Step-by-step explanation:

It is greater because it is closer to 8.

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Answer:

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3 years ago

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle \lim_{x \to 0} f(x) = 4$

<u>Step 2: Solve</u>

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

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

Unit: Limits

Book: College Calculus 10e

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2 years ago

A square has an area of 144 sq. units. how long is its perimeter?

Arada [10]

Formula for Area of a square:

$\boxed {\boxed {\text {Area = Length x Length}}}$

Given that the area is 144 unit²:

$\text {Length}^2 = 144$

$\text {Length} = \sqrt{144} = 12 \text { units}$

Formula for Perimeter of a square:

$\boxed {\boxed {\text {Perimeter = 4 x Length }}}$

$\text {Perimeter = } 4 \times 12 = 48 \text { units}$

$\boxed { \boxed { \text {Answer: The perimeter is 48 units.}}}$

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3 years ago