9
Dusty found out that each grain of sand weighs 40000 or .000025 of a pound. He decides to write this
number in scientific notation.
2.5 x 10
What value should Dusty record in the box?
Record your answer and fill in the bubbles on your answer
document. Be sure to use the correct place value.

9Dusty Found Out That Each Grain Of Sand Weighs 40000 Or .000025 Of A Pound. He Decides To Write Thisnumber

Answers

Answer 1

Answer:

[tex]n = -5[/tex]

Step-by-step explanation:

Given

[tex]Digit = 0.000025[/tex]

Required

Rewrite using scientific notation, then find n

[tex]Digit = 0.000025[/tex]

Express as fraction

[tex]Digit =\frac{25}{1000000}[/tex]

This can be splitted to

[tex]Digit = 25 * 10^{-6}[/tex]

The first number must be between 1 and 10; hence, 25 can be expressed as 2..5 * 10

[tex]Digit = 2.5 * 10* 10^{-6}[/tex]

Apply law of indices

[tex]Digit = 2.5 * 10^{1-6}[/tex]

[tex]Digit = 2.5 * 10^{-5}[/tex]

Comparing n, the given options

[tex]n = -5[/tex]


Related Questions

what is the answer to 8x²+7y²-3x²+5y²=12​

Answers

Answer:

-5x/12y

Step-by-step explanation:

Any value that makes an equation true is a _____

Answers

Any value that makes an equation true is a solution

Any value that makes an equation true is a 'solution of that equation'.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If any number or value satisfy the given equation or makes an equation true is called solution of the given equation.

So, The complete sentence is,

Any value that makes an equation true is a ''solution of that equation.''

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y=-5x+6. y=3x-2 what do the values of x and y represent​

Answers

Answer:

x=1; y=1

Step-by-step explanation:

Step-by-step explanation:

Given:

y=-5x+6 ----------(1)

y=3x-2 ----------(2)

As L.H.S from equation 1 and 2 are equal R.H.S will also be equal

Therefore

-5x+6=3x-2

-5x-3x=-2-6

-8x=-8

x=1

put x=1 in equation (1)

y=-5×1+6

y=-5+6

y=1

Therefore , x=1 and y=1.

Margaret drove to a business appointment at 90 mph. Her average speed on the return trip was 80 mph. The return trip took 1/4
hr longer because of heavy traffic. How far did she travel to the appointment?

Answers

Distance = speed x time

Let the time to the appointment = x

The time home would be x + 1/4 hour

set up an equation you have 90x = 80(x + 1/4)

Simplify:

90x = 80x + 20

Subtract 80x from both sides:

10x = 20

Divide both sides by 10:

x = 2 hours

Distance = 90 x 2 = 180 miles

Please find the value of x in the diagram. Thank you!

Answers

hope it helps

comment if u have any questions

How to find The point midway

Answers

Step-by-step explanation:

The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.

Answer:

Assuming you're asking how to find the mid-point given two end-points. A really simple way is the take the two end-points, add the x coordinates and the y coordinates and divide both by 2.

Find (2n - 3)(n + 4).

Answers

Answer:

look at the picture to get the solution

Hope it helps

Find the value of x. Round to
the nearest tenth.

Answers

Answer:

  13.7

Step-by-step explanation:

x is the side of the triangle opposite the given angle. 47 is the hypotenuse of that triangle. The trig function that relates the opposite side and the hypotenuse is ...

  Sin = Opposite/Hypotenuse

  sin(17°) = x/47

  x = 47·sin(17°) ≈ 13.7

The value of x is 13.7.

Which of the following is not an example of a perfect square? a √9 b √200 c √4 d √64

Answers

Answer:

b= 200 is not an example of a perfect square

Simplify: 3 · 3^2 + 8 ÷ 2 − (4 + 3)

Answers

Answer:

24

Step-by-step explanation:

3^3+4-7

27+4-7

24

The value after simplifying the expression 3² + 8 ÷ 2 - (4 + 3) is 6 by using PEMDAS rule.

To simplify the expression 3² + 8 ÷ 2 - (4 + 3), follow the order of operations (PEMDAS/BODMAS):

P - Parentheses first

E - Exponents (i.e., powers and square roots, etc.)

MD - Multiplication and Division (left to right)

AS - Addition and Subtraction (left to right)

Start with the exponent:

3² = 3 × 3 = 9.

Next, perform the division:

8 ÷ 2 = 4.

Now, deal with the parentheses:

(4 + 3) = 7.

Finally, perform the addition and subtraction from left to right:

9 + 4 - 7

= 6.

So, the simplified expression is 6.

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Solve for x. Show steps.

1. 3x = 2x + 2

2. 3x + 5 = 4x + 1

3. 6x + 3 = 3x + 12​

Answers

Step-by-step explanation:

3x = 2x + 2

3x - 2x = 2

x = 2

2. 3x + 5 = 4x + 1

4x - 3x = 5 - 1

x = 4

3. 6x + 3 = 3x + 12

6x - 3x = 12 - 3

3x = 9

x = 3

Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?

Answers

Answer : The correct option is, (B) 1500 cubic yards.

Step-by-step explanation :

Formula used to calculate the volume of square pyramid is:

[tex]V=\frac{a^2\times h}{3}[/tex]

where,

V = volume of pyramid

a = base edge of pyramid

h = height of pyramid

Given:

Base edge of pyramid = 15 yards

Height of pyramid = 20 yards

Now putting all the given values in the above formula, we get:

[tex]V=\frac{a^2\times h}{3}[/tex]

[tex]V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}[/tex]

[tex]V=1500\text{ yards}^3[/tex]

Therefore, the volume of pyramid is 1500 cubic yards.

Answer:

(B) 1500 cubic yards.

Step-by-step explanation:

took usatestprep

Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to AngleDCB. A horizontal line has points A, C, B. Right angle F C D intersects the line at point C. A line extends from point C vertically to point E. Angle A C F is 45 degrees and angle F C D is 90 degrees. Which statement is true about AngleDCB and AngleACF? They are congruent and complementary. They are congruent and supplementary. They are complementary but not necessarily congruent. They are supplementary but not necessarily congruent.

Answers

Answer:

A: They are congruent and complementary.

Step-by-step explanation:

Just took the test hope this helps :D

Answer:

A

Step-by-step explanation:

it was correct on edge2020 so

(shrug)

The area of a square is 400 square units. Select all the statements that would be true if the length of each side of the square increased by one unit.
A-The area of the square would be a rational number.
B-The area of the square would be an irrational number
C-Each side length would be a perfect square.
D-The area of the square would be a perfect square.d
E -The area of the square would be a nonterminating, nonrepeating decimal.
PLEASE ANSWER ASAP!!!! WILL GIVE BRAINLIEST!

Answers

Answer:

A and D

Step-by-step explanation:

Given that the area of a square = 400 units² = s²

Where s is one side length of the square.

It means that the side length (s) = √400 = 20

If the length of each side length increase by 1 units, new side length = 21 units

Area of new square = 21² = 441

The following statements would be true if the side length was increased by 1 units:

A. "The area of the square would be a rational number"

441 is a rational number, because a rational number is a quotient of two integers.

441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441

D. "The area of the square would be a perfect square".

A number is considered a perfect square if it can be expressed as a product of two equal integers.

441 can be expressed as 21*21

Answ

Step-by-step explanation:

Factor 3xy+21x+9 completely

- 3x(y+7x+6)
- 3(xy+7x+3)
- Prime (Not Factorable)
- xy+2x+3

Answers

Answer:

Hence the second option is the correct answer

Step-by-step explanation:

In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.

here is a way to do it

given the following expression

[tex]3xy+21x+9[/tex]

From the expression above we can see that 3 is common to all the terms of the expression so that we have

[tex]3(xy+7x+3)[/tex]

hence the second option is the correct answer

At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean? (write your answer as a fraction)

Answers

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

F  = (3/4)*(5/8) = (3*5)/(4*8) = 15/32

Solve for :

9x - 3 - 8x = 7 - X

A. X=-7

B. x = -2

C. X=4

D. x= 5

pls help me my grade is depending on it

Answers

Answer:

d. x = 5

Step-by-step explanation:

Solve for x:

x - 3 = 7 - x

Hint: | Move terms with x to the left hand side.

Add x to both sides:

x + x - 3 = (x - x) + 7

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + x - 3 = 7

Hint: | Add like terms in x + x - 3.

x + x = 2 x:

2 x - 3 = 7

Hint: | Isolate terms with x to the left hand side.

Add 3 to both sides:

2 x + (3 - 3) = 3 + 7

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

2 x = 7 + 3

Hint: | Evaluate 7 + 3.

7 + 3 = 10:

2 x = 10

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = 10 by 2:

(2 x)/2 = 10/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = 10/2

Hint: | Reduce 10/2 to lowest terms. Start by finding the GCD of 10 and 2.

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

Answer: x = 5

As of mid-2016, the world's population was about 7.4 billion people. The population of Country A was 226 million. In mid-2016, what percent of the world's population was the Country A population? Round your answer as a percentage to one decimal place.

Answers

Answer:

The percentage of country A population to the world population

= 3.05%

Step-by-step explanation:

Country A population as of 2016

= 226 million

= 226000000

The world population as of 2016

= 7.4 billion

= 7400000000

The percentage of country A population to the world population

= Country A population /The world population

The percentage of country A population to the world population

= 226000000/7400000000

The percentage of country A population to the world population

= 0.03054

Now multiplying by 100

= 3.05%

The percentage of country A population to the world population is  3.05%

Given that,

As of mid-2016, the world's population was about 7.4 billion people. The population of Country A was 226 million.

Based on the above information, the calculation is as follows:

[tex]= 226000000\div 7400000000[/tex]

= 0.03054

= 3.05%

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For the function f(x)=|4x−2|+10, evaluate f(−3).

Answers

Answer:

[tex]f(-3)=24[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=|4x-2|+10[/tex]

To find f(-3), substitute -3 for x:

[tex]f(-3)=|4(-3)-2|+10[/tex]

Multiply within the absolute value:

[tex]f(-3)=|-12-2|+10[/tex]

Subtract:

[tex]f(-3)=|-14|+10[/tex]

The absolute value of -14 is 14. Thus:

[tex]f(-3)=14+10[/tex]

Add:

[tex]f(-3)=24[/tex]

And we're done!

Order from least to greatest.


3.5, -2.1, square root of 9, -7/2, and square root of 5.

Answers

Answer:

-7/2,-2.1,√5, √9, 3.5

Step-by-step explanation:

The problem statements needs to be properly formatted

3.5, -2.1, √ 9, -7/2, and√5.

let us find all square roots given in the list

√ 9= 3

√5= 2.23

hence we have 3.5, -2.1, 3, -7/2, and 2.23.

Also let us convert all fractions to decimal numbers

-7/2= -3.5

3.5, -2.1, 3, -3.5 and 2.23.

from least to greatest we have

-3.5,-2.1,2,2.23,3,3.5

or

3.5, -2.1, √ 9, -7/2, and√5.

-7/2,-2.1,√5, √9, 3.5

5/4÷1/3 please help ​

Answers

Answer:

3.75 Or 15/4

 

Answer:

15/4 or 3.75

Step-by-step explanation:

[tex]\frac{5}{4} : \frac{1}{3} = \frac{5}{4} . 3 = \frac{5 . 3}{4} = \frac{15}{4}[/tex]

y = 3x - 2)
what is the slope of this equation

Answers

Answer:

The slope is 3.

Step-by-step explanation:

So we have the equation:

[tex]y=3x-2[/tex]

This is in the slope-intercept form, where:

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y-intercept.

From the original equation, m is 3 and b is -2.

In other words, our slope is 3.

So, the slope of the equation is 3.

And we're done!

I hope that’s helps you

I NEED HELP PLEASE WITH PART 2, THANKS!

Answers

Steps to solve:

-6w - 8 + 15w = 2w - 8 + 7w

~Combine like terms

9w - 8 = 9w - 8

~Add 8 to both sides

9w = 9w

~Divide 9 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

Best of Luck!

Three times the sum of a number and 9 and 12. Find the number

Answers

Answer: 324

Step-by-step explanation: Firstly,  multiply 9x12. And that is 108. Since in the problem it says "Three times the sum" you would multiply 108 by three and get 324.

answer: 324

9 • 12 = 108
3 • 108 = 324

What is the difference between a tax credit and a tax deduction?
a. A tax credit represents money owed to you, while a tax deduction represents money you owe.
b. A tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
c. A tax credit is owed money that collects interest, while a tax deduction is money that you do not have to pay.
d. A tax credit occurs if you underpaid during the year, and a tax deduction occurs if you overpaid.
It is B

Answers

The difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.

What is Tax?

A financial charge that is imposed on a taxpayer in order to fund government spending and public expenditures is called tax. It is imposed by a governmental organization. It is a compulsory charge.

Given is tax credit and a tax deduction.

Tax credits and a tax deductions are same in a way that they will decrease what you pay in taxes. However, the method in which each of them work is quite different. Tax deductions lower your taxable income and will reduce what you'll pay in taxes, while tax credits reduce your tax bill dollar for dollar and may even increase your refund.

Therefore, the difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.

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Answer: B

Step-by-step explanation:

trust

Evaluate the expression 4/5=3/4=

Answers

Answer:

4/5 and 3/4 are not the same, so maybe you should write Not Defined or something?

Step-by-step explanation:

Answer:

31/20

Step-by-step explanation:

Get a common denominator for the numbers:

4/5 = 16/20

3/4 = 15/20

4/5+3/4 = 16/20+15/20 = 31/20

k+a=500
how do i get k alone on one side of the equation ?

Answers

Answer:

k = 500 - a

Step-by-step explanation:

[tex]k + a = 500[/tex]

As we need "k" alone in one side of eqn. , we need to substract "a" on both the sides of the eqn. so that we can cancel "a" which on the left side.

[tex]k + a - a = 500 - a[/tex]

[tex] = > k = 500 - a[/tex]

which equation has the same solution as x -12 = 40

Answers

Steps to solve:

x - 12 = 40

~Ad 12 to both sides

x = 52

Best of Luck!

Why is the square root of a non perfect square always irrational number ?

Answers

Answer:

The square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers...

Answer:

Yes, unless X is a perfect square, sqrt(X) is irrational

Step-by-step explanation:

The proof where X= 2 is an example of the general proof: Supposesqrt(X) is rational, then there exists integers p and q such that (p/q)^2 = 2, we can cancel any common factors out of p and q so these are the simplest integers which satisfy the equation.

I need help with math​

Answers

Answer:

Sure what class (algebra, triginometry etc...) and do you have discord

Step-by-step explanation:

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