A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm

Answers

Answer 1

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

Answer 2

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

How do we add exponents?

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

Learn more about the conversion of microns to nanometers here:

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Answers

Based on the given information the percent gain is 144%.

Initial production rate = 84 toy robots per day

Present production rate = 205 robots per day

Using this formula

Percent gain=  Increase in production rate /Initial production rate× 100  

Where:

Increase in production rate = 205 - 84 =121

Initial production rate = 84 toy robots per day

Let plug in the formula

Percent gain=121/84×100

Percent gain=144%

Inconclusion the percent gain is 144%.

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Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

A caterer will provide the meal for the football banquet. The caterer charges a base fee of $400 plus $6 per plate.

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Answer:

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Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The absolute value measures the distance from zero on a number line. A negative number will have the sign change,

What is the y-intercept of the equation 2x + 4y = -16?
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2. -8
3. -4
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Answers

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!

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Answers

Answer:

20

Step-by-step explanation:

the twis old as karli

the sum of their ages 7 years ago

13+7=20

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Answers

Answer:

X=2

Step-by-step explanation:

9x+1=2x+15

1. restar 1 de ambos lados  ejemplo: 9x+1-1=2x+15-1

2. simplificar Ejemplo: 9x=2x+14

3. restar 2x de ambos lados ejemplo: 9x-2x=2x-2x+14

4. simplificar ejemplo: 7x=14

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176 messages
164 messages
144 messages

Answers

22 x 7 = 154
She sent 154 messages

Answer:

the answer is 154

Step-by-step explanation:

22x7=154

What’s the mean, variance and standard deviation

Answers

Answer:

Step-by-step explanation:

binomial distritubtion

mean= n*p

.23*300= 69

variance= n*p*(1-p)

.23*300*(1-.23)=53.1

standard deviation= sqrt(variance)

sqrt(53.13)= 7.3

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Answer:

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................

Provide context for the question?

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Answer:

First one Or Last. I think the last one though

Step-by-step explanation:

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Answers

Answer:

STEP1:

4 Simplify — 1

Equation at the end of step1:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+(4•a2))+2a)-4) (a3)

STEP2:Equation at the end of step 2

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-(4•(a2)))-4a)+16)•(((((a2)-6a)+22a2)+2a)-4) (a3)

STEP 3 :

Equation at the end of step3:

4 (((((((2•(a3))+(4•(a2)))-2a)-————)-22a2)-4a)+16)•(5a2-4a-4) (a3)

STEP 4 :

4 Simplify —— a3

Equation at the end of step4:

4 (((((((2•(a3))+(4•(a2)))-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 5 :

Equation at the end of step5:

4 (((((((2•(a3))+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP 6 :

Equation at the end of step6:

4 ((((((2a3+22a2)-2a)-——)-22a2)-4a)+16)•(5a2-4a-4) a3

STEP7:Rewriting the whole as an Equivalent Fraction

 7.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  a3  as the denominator :

2a3 + 4a2 - 2a (2a3 + 4a2 - 2a) • a3 2a3 + 4a2 - 2a = —————————————— = ————————————————————— 1 a3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP8:Pulling out like terms

 8.1     Pull out like factors :

   2a3 + 4a2 - 2a  =   2a • (a2 + 2a - 1) 

Trying to factor by splitting the middle term

 8.2     Factoring  a2 + 2a - 1 

The first term is,  a2  its coefficient is  1 .

The middle term is,  +2a  its coefficient is  2 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1 

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   2 .

     -1   +   1   =   0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

 8.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2a • (a2+2a-1) • a3 - (4) 2a6 + 4a5 - 2a4 - 4 ————————————————————————— = ——————————————————— a3 a3

Equation at the end of step8:

(2a6+4a5-2a4-4) (((———————————————-22a2)-4a)+16)•(5a2-4a-4) a3

STEP9:

Rewriting the whole as an Equivalent Fraction :

 9.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  a3  as the denominator :

22a2 22a2 • a3 22a2 = ———— = ————————— 1 a3

STEP10:

Pulling out like terms :

 10.1     Pull out like factors :

   2a6 + 4a5 - 2a4 - 4  = 

  2 • (a6 + 2a5 - a4 - 2) 

Checking for a perfect cube :

 10.2    a6 + 2a5 - a4 - 2  is not a perfect cube

Trying to factor by pulling out :

 10.3      Factoring:  a6 + 2a5 - a4 - 2 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -a4 - 2 

Group 2:  a6 + 2a5 

Pull out from each group separately :

Group 1:   (a4 + 2) • (-1)

Group 2:   (a + 2) • (a5)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

 10.4    Find roots (zeroes) of :       F(a) = a6 + 2a5 - a4 - 2

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -2.

 The factor(s) are:

of the Leading Coefficient :  1

 of the Trailing Constant :

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Answers

Answer:

-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)

Hope it helps!

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Answers

Answer:

Step-by-step explanation:

42+(1/3)

42*(3/3)+(1/3)

(126/3) + 1/3

126/3 + 1/3 = 127/3 miles

4/3 hours

(127/3)/4/3)

(127/3)*(3/4)

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Answers

300 liters of oil is needed to fill the lamps

Answer:

300 liters need to be filled into each lamp

Step-by-step explanation:

hope this helps

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Answers

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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X=2.5
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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x = 60y = 70

============================================

Explanation:

The parallel lines show that x = 60 since the 60 and the x angles are alternate interior angles. Alternate interior angles are congruent when we have parallel lines like this.

Focusing on the largest triangle, the three angles add to 180 degrees

x+y+50 = 180

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Question 15 of 25

Solve the formula V = s2h for s.

O A. s = 1V - h

B. s=

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C. s =

11 부

O D. s= Vh

Answers

Answer:

s = [tex]\sqrt{V/h}[/tex]

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

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