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Verizon [17]
3 years ago
11

A light bulb filament is one-hundredth of an inch thick, with an allowable error of 2 percent. What is the least allowable thick

ness of the filament?
Mathematics
1 answer:
Andreyy893 years ago
3 0

Answer:

0.00998 Inches

Step-by-step explanation:

Thickness of the light bulb filament = 0.01 Inch

Allowable error = 2%.

2% of 0.01 = 0.02 X 0.01 =0.0002 Inch

Therefore, the allowable thickness of the bulb filament

=0.01 \pm 0.0002 $ Inches

We can then calculate the least allowable thickness of the filament as:

=0.01 - 0.0002 \\=0.00998$ Inches

The least allowable thickness of the filament is 0.00998 Inches.

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A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?
Nostrana [21]

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$800 is the original price

Step-by-step explanation:

15% discount

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3 years ago
The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
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Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

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Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

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3 years ago
Felix joins a local recreation center to play basketball.The recreation center charges a $20 annual fee, plus an additional $15
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Answer:

11 months

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185 - 20 = 165

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8 0
2 years ago
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