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AURORKA [14]
3 years ago
8

0.6704 repeating as a fraction?

Mathematics
1 answer:
Margaret [11]3 years ago
3 0
Suppose x=0.67046704\ldots.

Then 10^4x=6704.67046704\ldots, and we have

10^4x-x=9999x=6704

which means

x=\dfrac{6704}{9999}
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What is the derivative of 3x+5x
Vaselesa [24]

Answer:

\displaystyle \frac{d}{dx}[3x + 5x] = 8

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x + 5x

<u>Step 2: Differentiate</u>

  1. Simplify:                                                                                                         \displaystyle y = 8x
  2. Derivative Property [Multiplied Constant]:                                                   \displaystyle y' = 8\frac{d}{dx}[x]
  3. Basic Power Rule:                                                                                         \displaystyle y' = 8

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

Unit: Differentiation

7 0
3 years ago
A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott
jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } cm^{2}

This area is equal to 125 cm^{2} as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ a^{2} - 18 a +80 -125 =0

⇒ a^{2} - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a > 4.

Thus the required answer is 15 cm.

7 0
3 years ago
Read 2 more answers
Two paths in a park intersect so that one of the angles at the intersection is 75°.What are the three other angle measurements f
oksian1 [2.3K]

Answer:

105°, 75°, and 105°.

Step-by-step explanation:

If two straight paths intersect at a point , four angles will be formed.

These are pairs of vertical angles.

The adjacent angles add up to 180°

If one of the angles is 75°, the supplement will be

180 - 75 = 105 \degree

Therefore the three other angles will be , 105°, 75°, and 105°.

5 0
2 years ago
Write 54.039 in word form.
boyakko [2]

Answer:


Step-by-step explanation: fifty-four point zero three nine


6 0
3 years ago
Read 2 more answers
Help!!!!!!!!!!!!!!!!!!!!!!!!
Savatey [412]
Diameter is 9 inch so the radius is 9/2=4.5inch
Part A: 2πr=28.26inch
π=28.26/(2r)
π=28.26/(2*4.5)=3.14
Part B: πr^2=63.585inch
π=63.585inch/(4.5inch)^2
π=3.139753086 
Part C: Both of the answers are correct but Part B is more percise because it has more significant figures.
6 0
2 years ago
Read 2 more answers
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