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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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Which point lies on the line
Oksi-84 [34.3K]
Y + 8 = 4(x - 5)

distribute the 4 to both x and -5

4(x) = 4x
4(-5) = -20

y + 8 = 4x - 20

isolate the y, subtract 8 from both sides

y + 8 (-8) = 4x - 20 (-8)

y = 4x - 28

plug in the x given, if the y matches the answer given, it is the correct answer.

-8 = 4(5) - 28

-8 = 20 - 28

-8 = -8 (True)

D) (5,-8) should be your answer

hope this helps
7 0
3 years ago
Read 2 more answers
(5x-1) -(2-8x) for x = 0.75
Eva8 [605]
6.75 is the answer to your question
4 0
1 year ago
Multiple polynomial the (x^3+3x^2+1)(3x^2+6x-2)​
Mrrafil [7]

The product of given polynomials is: 3x^5+15x^4-16x^3-3x^2+6x-2

Step-by-step explanation:

Given polynomials are:

(x^3+3x^2+1)\\and\\(3x^2+6x-2)

In order to multiply both polynomials, we will use the distributive property

So,

= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2

Combining like terms

=3x^5+6x^4+9x^4-2x^3+18x^3+3x^2-6x^2+6x-2\\=3x^5+15x^4-16x^3-3x^2+6x-2

Hence,

The product of given polynomials is: 3x^5+15x^4-16x^3-3x^2+6x-2

Keywords: Polynomials, variables

Learn more about polynomials at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

6 0
3 years ago
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxe
Solnce55 [7]
$1,263.75 is how much would be taxed 
Take 8425 multiply it by 0.15 to get your answer
4 0
2 years ago
Read 2 more answers
Given x^2 + y^2 = 36 and xy = -10 find x + y.
9966 [12]
This looks fun

ok so
we will use subsitution
xy=-10
divide both sides by x or y (I will choose y)
x=-10/y

sub -10/y fo x

(-10/y)^2+y^2=36
100/(y^2)+y^2=36
times both sides by y^2
100+y^4=36y^2
minus 36y^2 from both sides
y^4-36y^2+100=0
(y^2)^2-36(y^2)+100=0
quadratic formula
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}
x=\frac{-(-36)+/- \sqrt{(-36)^2-4(1)(100)} }{2(1)}
x=18+/- 4\sqrt{14}

sub
y=-10/x
y=\frac{-10}{18+/- 4\sqrt{14}}

so x+y=18+/- 4\sqrt{14}+\frac{-10}{18+/- 4\sqrt{14}}
multiply first number by \frac{18+/- 4\sqrt{14}}{18+/- 4\sqrt{14}} and add them

x+y=\frac{(18+/- 4\sqrt{14})(18+/- 4\sqrt{14})-10}{18+/- 4\sqrt{14}}
or
x+y=\frac{81+22 \sqrt{14} }{5} or \frac{81-22 \sqrt{14} }{5}




8 0
2 years ago
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