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2 years ago

Can somebody explain how to get the answer/ what formula, and the answer??

Mathematics

2 answers:

ella [17]2 years ago

6 0

Answer:

9 cm

Step-by-step explanation:

divide the total circle centimeter which is 18 in half. Half of 18 is 9 so the diameter is 9.

marusya05 [52]2 years ago

6 0

Answer:

R = 9 cm

Step-by-step explanation:

C = 2ПR

Also C = 18П сm

2ПR = 18П

R = 18П/2П = 9 сm

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What is the least common multiple of 420 and 196?

maks197457 [2]

2940. To find LCM, listing the multiples may help. Then you will easily be able to view them and circle when you find a common one. :)

4 0

2 years ago

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1.107%7D%7B123%7D%20%20%5Ctimes%20%20%5Cfrac%7B1.998%7D%7B333%7D%20%20%3D%20" id=

pav-90 [236]

Answer:

Step-by-step explanation:

$\frac{1.107}{123} \times \frac{1.998}{333} =$

$= > 9 \times 6$

$= 45$

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2 years ago

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How many different student body governments are possible if there are 7 seniors, 3 juniors, and 4 sophomores running for the stu

ArbitrLikvidat [17]

There are 84 possible student body governments

<h3>The number of student body governments</h3>

The given parameters are:

Senior = 7

Junior = 3

Sophomore = 4

The number of student body governments is calculated as:

n = Senior * Junior * Sophomore

This gives

n = 7 * 3 * 4

Evaluate

n = 84

Hence, there are 84 possible student body governments

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4 0

2 years ago

a man makes a profit 15% by selling an article for rs.250. for what amount should he sell it to make profit of 38%

Ulleksa [173]

Answer:

$300

Step-by-step explanation:

original price = $250

the profit= 15%

ok now let the cost price of article be ₹ x

x + 15% of x = 250

1.15x = 250 => 115x ÷ 100 = 250

115x = 25000 => x = 25000 ÷ 115

x = 5000/ 23

cost price of article = ₹5000/ 23

required profit = 38%

= 38% of 5000/ 23 = 0.38 × 5000/ 23

= 1900/ 23

the required will be selling price to gain about 38%

= cost price + required profit which is

= (5000/ 23) + (1900/ 23)))

= 6900/ 23 = $300

Answer: now its required selling price = $300

5 0

2 years ago

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Can you find the limits of this

Pavel [41]

Answer:

$\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \frac{-3}{8}$

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Constant]: $\displaystyle \lim_{x \to c} b = b$

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

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

L'Hopital's Rule

Differentiation

Derivatives
Derivative Notation

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

We are given the following limit:

$\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16}$

Let's substitute in <em>x</em> = -2 using the limit rule:

$\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \frac{(-2)^3 + 8}{(-2)^4 - 16}$

Evaluating this, we arrive at an indeterminate form:

$\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \frac{0}{0}$

Since we have an indeterminate form, let's use L'Hopital's Rule. Differentiate both the numerator and denominator respectively:

$\displaystyle \lim_{x \to -2} \frac{x^3 + 8}{x^4 - 16} = \lim_{x \to -2} \frac{3x^2}{4x^3}$

Substitute in <em>x</em> = -2 using the limit rule:

$\displaystyle \lim_{x \to -2} \frac{3x^2}{4x^3} = \frac{3(-2)^2}{4(-2)^3}$

Evaluating this, we get:

$\displaystyle \lim_{x \to -2} \frac{3x^2}{4x^3} = \frac{-3}{8}$

And we have our answer.

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

Unit: Limits

6 0

2 years ago