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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Related Questions

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

A. Write an equation for the function where y represents the total cost and x represents the number of guests.

B. What does the slope mean in this situation?

C. What does the y-intercept mean?

Answers

Answer: y = 6x + 400

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Order the expressions from least value to greatest value.

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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Answer:

36 and 45

Step-by-step explanation:

A factory makes 84 toys robots in a day after they purchase new equipment now they make 205 robots a day

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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https://brainly.com/question/20824377

PLEASEEE HELP ME WITH THIS QUESTION!!! I WILL MARK THE BEST ANSWER BRAINLIEST AND GIVE EXTRA POINTS!!

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Answer:

Umm... I'd love to help but... you didnt post a question. Was that an accident?

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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

12.642 to the nearest tenth
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Answer:

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Step-by-step explanation:

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Answers

FOR NUMBER ONE 7.25/per jersey
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Question 15 of 25

Solve the formula V = s2h for s.

O A. s = 1V - h

B. s=

V

C. s =

11 부

O D. s= Vh

Answers

Answer:

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

Step-by-step explanation:

divide by 'h', then take square root of 's' to get:

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

What will be the total cost for 10 hours of work? ​

Answers

Answer:

Datas are not given

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

Provide context for the question?

3|-d + 2| + 1 if d = 4

Answers

Answer:

7

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

= 7

What is the answer? Thank you so much

Answers

C, basically what the person above me said, the exponent means you multiply that number by itself however many times the exponent says, so if it’s 3 you’d multiply it together 3 times

yall... help pls this is hard

Answers

Answer:

First one Or Last. I think the last one though

Step-by-step explanation:

Solve for x

9x+7=30

round to the nearest tens digit.

Answers

X=2.5
9x=23
Divide both sides by nine and you get 2.555555555555555
So just say 2.5 recurring

Pls answer need to double check

Answers

if you're looking for someone to double-check I just did and you're right.

Answers:

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

60+y+50 = 180

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y = 180-110

y = 70

This triangle appears to be equilateral, but it's not entirely so (it's fairly close however). That 50 degree angle in the bottom right corner would need to be 60 degrees for it to be equilateral.

What’s the mean, variance and standard deviation

Answers

Answer:

Step-by-step explanation:

binomial distritubtion

mean= n*p

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variance= n*p*(1-p)

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

standard deviation= sqrt(variance)

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Cuál es la solución de la ecuación 9 x + 1 = 2x + 15

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

5.divide ambos lados entre 7 ejemplo: 7x/7= 14/7

6.Simplificar ejemplo: x=2

Give the x-intercept for the equation 6x + 3y = -9

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

Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.​

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)

= 127/4 or 31.75 miles/hour

It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).

help asap

Which ordered pairs are solutions to the inequality – 2x +y> -4? Select each correct answer (3, -1) (1, - 2) 12 (0, -5) (-1, 1) (0, 1)

Answers

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Answers

Answer:

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Step-by-step explanation:

Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
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

Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day

Answers

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.

Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate?

Fill in the blanks with the correct values.

Answers

25 minutes

(6*1000)/240

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.

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 :

95 people went to a convention in San Francisco. They took three large vans and 50 people traveled by car. How many people fit in each large van. Write an equation first, then solve

Answers

Answer:

15

Step-by-step explanation:

95 - 50 = 45

45/3 = 15

Marsha is twice as old as Karli. The sum of their ages seven years ago was 13. How old
are they now?

Answers

Answer:

20

Step-by-step explanation:

the twis old as karli

the sum of their ages 7 years ago

13+7=20

can someone help me solve this Y= q-k/n for q

Answers

Answer:

q=y + K/n

Step-by-step explanation:

find the next three term of sequence of 1,3,5,7,9,11,...​

Answers

The answer is 13 you’re adding 2 to each number

100 lamps have been prepared for a function. 3 litres of oil
were required to fill all these lamps completely. Estimate
the capacity of a lamp.

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

What is the y-intercept of the equation 2x + 4y = -16?
1. -16
2. -8
3. -4
4. -2

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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