If all people were pea pickers, then how long would it take for the entire population of Earth to pick 1 mol of peas at the rate of one pea per second, working 15 hours per day, 365 days per year

Answers

Answer 1

It will take [tex] 1.392 \times {10}^{10} \: years[/tex] for the entire population of the Earth to pick a mole of pea at the specified rate.

1 mole of a substance is given by :

[tex]6.022 \times {10}^{23} [/tex]Rate per person = 1 pea per second

Working 15 hours per day ; 365 days per year

1 person will pick = (1 × 365 × 15) = 5475 peas per year

Taking the world population as 7,900,000,000 people

Number of peas picked per year = (7,900,000,000 × 5475) = 43252500000000

The time taken to pick 1 mole of pea will be :

1 mole of pea ÷ Number of peas picked per year

[tex] \frac{6.022 \times {10}^{23} }{4.325 \times {10}^{13} } = 1.392 \times {10}^{10} \: years[/tex]

The time taken to pick 1 mole of pea will be

[tex]1.392 \times {10}^{10} \: years[/tex]

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Related Questions

Need help on the first one! Will mark brainliest :)

Answers

Answer:

y = 2x + 10

Step-by-step explanation:

The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula

Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.

Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?

A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05

Answers

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

The auto repair shop took 2.5 hours to repair Victoria's car. The cost of the
parts needed was $93, and the total bill was $248. What is the repair shop's charge per
hour for labor?

Answers

Answer:D

Step-by-step explanation:

An auto repair shop charged $75/h  for labor plus an additional $89 for parts.

If the shop worked for 2 h.

C = Represented the total repair cost .

Than the equation becomes

C = 75 × 2 + 89

C = 75 (2) + 89

Therefore the total cost for the repair  is represented by C = 75 (2) + 89 .

Option (D) is correct .

Answer:

Step-by-step explanation:

the charge is 77 dollars per hour of labor

What is the solution to the equation 3x + 2(x - 9) = 8x + X- 14?
O-8
-1
O1
O8

Answers

Answer is B -1
Hope it helps

Answer:

-1

Step-by-step explanation:

Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14

Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)

New Equation: 5x-18 = 9x-14

add 14 to both sides: 5x-4 = 9x

Subtract 5x from both sides: -4 = 4x

Divide both sides by 4 to get: -1 = x

Answer: x = -1

If the perimeter of the triangle is 60, what is the value of y?

Answers

Answer:

y = 5

Step-by-step explanation:

Given:

In the right triangle the hypotenuse is 5y, one leg is 4y, the other leg is missing

Missing side of the triangle is:

√(5y)² - (4y)² = √(3y)² =3y

Perimeter is 60:

3y + 4y + 5y = 6012y = 60y = 60/12y = 5

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?

F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x

Answers

I think the answer would be letter H

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

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#SPJ3

A farmer buys several gallons.g. of
fertilizer for $8.25 each and an
irrigation unit for $65. He spends a
total of $683.75. Determine the
number of gallons of fertilizer the
farmer bought

Answers

Answer:
Step-by-step explanation:
8.25(g)+65=683.75

You buy five books that are equal in
price and a DVD for $8. Your total
comes to $26.50. Write an equation
that would help you determine the cost
of one book.
( Hint it’s not 3.70!)
Please help!

Answers

If it’s not $3.70, maybe it’s looking for the equation instead like b = (26.50 - 8)/5?

Pls solve this...need help thanks :)​

Answers

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is [tex]2^{2} \cdot 3 \cdot 5[/tex], which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

Hope this helped!

Help! What are the answers?!! I'll give a brainlist.​

Answers

1) D
2) A
3) C
4) B
5) A
6) D

rocky thinks of an odd integer adds the next two consecutive integers which of these could be the sum
a) 44560
b)44561
c)44562
d)44563

Answers

Step-by-step explanation:

First, we have to prove that the sum of 3 consecutive integers is a multiple of 3.

Let x be the smallest of the 3 consecutive integers. We have (x + 1) and (x + 2) as our other consecutive integers.

Notice that x + (x + 1) + (x + 2) = 3x + 3 = 3(x + 1), which is a multiple of 3.

Hence we have proven our point. Back to the question:

The possible sum has to be a multiple of 3. Searching the options, only 44562 is a multiple of 3. (44562 / 3 = 14854) Hence 44562 is the answer. (C)

I’m helping my brother with his homework and I’m confused. Would this be split into 1/2 for each pizza or 1/4 like shown in the photo?

Answers

Answer:

1/2

Step-by-step explanation:

1/2 because if you divide 2 pizzas into 4 then you can get 4 1/2s.

if you slice the pizza into fourths then each person will get 2/4rts and which is the same thing as 1/2 only 1/2 is simplified.

At an intersection, the red light of route A is red for 60 seconds and the other two lights are red for 45 and 75 seconds, respectively. What is the probability that a car traveling from route A will encounter a red light at an intersection?

Answers

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3

MULTIPLE CHOICE QUESTION
Evaluate f(x) = 3x - 5, whenx = -1
•f(-1)=8
• f(-1) = -8
•f(-1) = 2
•f(-1) = -2 ​

Answers

The correct answer is B if your not using PEMDAS

A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.

Answers

Answer:

A

Step-by-step explanation:

The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!

How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?

Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

What did you include in your response? Check all that apply.

The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.

Answers

It would be the shaded area solution
Then response
Then inequalities
Then reverse
Include in your response
Dbgt
2x+ 1/3
Dont shade intop
Put shaded on bottom
Put grilled cheesy ontop number
Then fraction t
Then the patty the solution
Then another shaded graph on top
The perfect marh sanwhich
Explanation
Nate robinson challenge

Answer:

all of them.

Step-by-step explanation:

Hope this helps!

<3

~nxmbus

will give brainlist
assignment name: solving triangles​

Answers

Answer:

the answer is 66

Step-by-step explanation:

UUUUUUUUUUUUUUUUUUUUUU

Answers

-3>-4 because the number line shows it going to the right side which means the number is bigger then -4 so the only bigger answer is -3 and is correct

Answer:

B. -3 > -4

Step-by-step explanation:

have a nice day!!

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

In circle D, ∠EDH ≅ ∠EDG.

Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.

What is the length of JG?

4 units
5 units
6 units
9 units

Answers

Answer:

5 units

Step-by-step explanation:

The computation of the Length of DG is as follows;

Given that

∠EDH ≅ ∠EDG,

EH = 9,

EJ = 4.

Based on the above information, as we can see that the two sides i.e. corresponding are congruent

EH = EG  (CPCTC)

EG = 9.........(i)

Now

EG = EJ + JG

EG = 4 + JG ........(ii)

Now after solving this

JG = 5 units

Hence, the second option is correct

Answer:

5

Step-by-step explanation:

i got it right

PLEASE HELP ME!! IM TAKING A FINAL AND HATE THESE TYPE OF QUESTIONS!! PLS HELP.

Answers

Answer:

B.

Step-by-step explanation:

Answer:

the answer is A because none of the x-values or y-values repeat

Step-by-step explanation:

Can anyone please help me with these questions 2. a-b 3. a-b 4. a-b and number 5?

Answers

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

  8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

  -5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

  [tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

__

5. Use n=7 and evaluate.

  [tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

Please help fast I will give brainless an extra points!

Answers

Answer:

-23

Step-by-step explanation:

h(-3) = (-3)^3 + 4

      = -27 + 4

      = -23

Answer:

-23 hope that helps :)

Step-by-step explanation:

13. Write an equation in slope-intercept form for the line that passes through the point (-3,5) and is parallel to the equation y = -1/2x + 4​

Answers

(5- -6) is the answer

____ - 369 = 286?
help a sister out

Answers

Answer:

655

Step-by-step explanation:

655-369=286

I hope this is correct and have a great day

Need a quick answer please

Answers

Answer:

X=22

Step-by-step explanation:

All the angles in every triangle must add up to 180 so we can subtract 23 and 135 from 180 to get 22.

Answer:

x=22

z=135

y=23

Step-by-step explanation:

First, start with x in the picture. All angles in a triangle add up to 180 degrees. So, add 135+23 and then subtract that from 180.

135+23=158

180-158 = 22 degrees

Angle z is congruent to the larger angle on the other triangle. So, that means z=135.

Angle y is equal to the angle across from it. Y=23

2x29divide by 70006=x=?

Answers

Answer:

I think it is 71.222222 repeating

Step-by-step explanation:

Hope this helped have an amazing day!

Use the unit circle to find the point (x,y) that corresponds to the real number t

Answers

Step-by-step explanation:

I hope its help you

Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

A coat has a regular price of $38 it is marked down 25% what is the sales price of the coat

Answers

28.5

b

e

c

a

u

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e

y

e

s

s

i

r

Other Questions
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