Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.

Answers

Answer 1

Answer:

n = 5

Step-by-step explanation:

100,000 = 10^n

Take the log of both sides

log 100,000 = log 10^n

log 100,000 = n * log 10

Dividing both sides by log 10

log 100,000 / log 10 = n * log 10 / log 10

n = log 100,000 / log 10

= 5 / 1

n = 5


Related Questions

What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6

Answers

Step-by-step explanation:

option b is the correct answer

338 points in 16 games. how many points did they make per game?​

Answers

21.125 (21) points in each game.
just divide 338 by 16.
-hope this helps

The United States Census collects data on many variables about individuals and households.

Which variables are quantitative?

Select all that apply.


Years living in the U.S.


How many adults are registered to vote in the upcoming election?


Number of adults over 18.


Number of minors in the household


Family role of respondent


Number of family members residing at the address


Ethnicity


Zip code

Answers

Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit

Answers

Answer: √20

Step-by-step explanation:

4.47213595 (the 5 repeats)

Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?

Answers

Answer: -8 points

Step-by-step explanation:

From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.

Her total points now will be the addition of -5 and -3. This will be:

= -5 + (-3)

= -5 - 3

= -8

Note that minus multiplied by plus is minus.

Answer: -8

Step-by-step explanation:

Solve the compound inequality.

3<2−3≤12
3
<
2
p

3

12
3<2−3≤12
3
<
2
p

3

12

Group of answer choices

3>≥152
3
>
p

15
2
3>≥152
3
>
p

15
2
3>≥152
3
>
p

15
2

6>≥15
6
>
p

15
6>≥15
6
>
p

15
6>≥15
6
>
p

15

$$66<≤15
6
<
p

15
6<≤15
6
<
p

15

$$3

Answers

Answer:

I would say either the 2,3,4,or 5

An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer:

4√3cm^2

Step-by-step explanation:

we know that the area of equilateral triangle is √3/4a^2

Expand & simplify 4(t+2)+6(t-4)

Answers

Answer:

10t - 16

Step-by-step explanation:

4(t + 2)+ 6(t - 4)

4t + 8 + 6t -24

10t - 16

Expand the first bracket: 4t + 8
Now expand the second bracket: 6t - 24
4t + 8 + 6t - 24
Add all like terms together: 10t - 16

Mr. Leto plans to save money to buy a carpet. If he saves $50 each week for 30 weeks, he will have saved the exact amount of money needed to buy the carpet. If Mr. Leto instead saves $75 each week, how many weeks will it take him to save the same amount of money?

Answers

Answer:

Number of new weeks = 20 week

Step-by-step explanation:

Total money saves = $50 x 30

Total money saves = $1,500

Find:

Number of new week

Computation:

Total money saves = Number of money save per week x Number of new weeks

1,500 = 75 x Number of new weeks

Number of new weeks = 20 week

Jose and his mother decide to bake a cake for his Father's birthday. Jose notices that after mixing the cake batter and placing it in the oven he says bubbles forming in the cake as it begins to rise. What explains this Phenomenon? A. Physical Change B. Chemical Change C. Neither physical nor chemical change D. Both physical and chemical change

Answers

Answer:

B) Chemical Change

Step-by-step explanation:

Physical change only changes the physical appearance of good, their chemical properties remaining same. These are usually reversible. Eg : Cutting a cake

Chemical change changes the physical composition of the product(s) involved. These are usually not irreversible. Eg : Baking of a cake, getting bubbles during bake process meanwhile

Corliss earns an hourly wage, as well as tips, each day he works. His daily earned income, m, after h hours can be represented by the inequality m>11h+35.

He makes at most $11 per hour plus $35 in tips.
He makes more than $11 per hour plus $35 in tips.
He makes at least $11 per hour plus $35 in tips.
He makes less than $11 per hour plus $35 in tips.

Answers

Answer:

He makes more than $11 per hour plus $35 in tips

Step-by-step explanation:

First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3

Here are inequality key words to help better understand the signs:

> : Greater Than, More Than

≥ : More Than or Equal To, At Least, No Less Than, A Minimum of

< : Less Than, Fewer Than

≤ : Less Than or Equal To, At Most, No More Than, A Maximum of

What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3

Answers

Answer
2x^3+9x^2+5x+27

The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

What is the standard form of the polynomial?

To write a polynomial in its standard form, we first simplify then write the terms in an descending order.

Given the polynomial; 9x² + 5x + 27 + 2x³

First, we move the constant 27 to the right end of the expression

9x² + 5x + 2x³ + 27

Next, we move 2x³ left end of the expression

2x³ + 9x² + 5x + 27

Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

Learn more about standard form of polynomial here: https://brainly.com/question/15313798

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−38÷7/12 another math question.

Answers

Answer:

-0.45238095238

Step-by-step explanation:

-38 divided by 7/12= -0.45238095238

Solve this 8x+5/2=13

Answers

Is that 8 X or multiplication sigh?

Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

Plz help do questions 9 and 10 I will give brainlest

Answers

Answer:

9. B.) c=28h

10. C.) 5x=45y

Step-by-step explanation:

1. 84 cards in three hours 84/3 = 28 cards per hour

2. 2x=18y which means x=9y, x 5 = 5x = 45y

can someone help me I need a quick answer. If a base of 5 has an exponent of 2 and is subtracted from a base of 4 that hs an exponent of 3, what is the remaining number?

Answers

Answer:

39

Step-by-step explanation:

4^3 equals 64, and 5^2 equals 25. 64 - 25 = 39.

PLEASE HELP!! MATH FINAL, NO EXPLANATION NEEDED :))

Answers

Answer:

B.

Step-by-step explanation:

When you move right or left it's inside the parentheses and the opposite so right is - and left is + when you move up or down its the same so up is + and down is -.

Answer:

B

Step-by-step explanation:

It's asking for moving right 3 and down 2. To move right three, you have to subtract 3 (It's switched up). This goes inside the parenthesis, because if it was outside of the parenthesis, it would be going up or down. Now, to go down 2, you have to subtract 2 outside of the parenthesis (It's normal). That leaves you with f(x-3)-2. Therefore, the answer is B.

Solve for f 7a - 3d + 6f = 5

Answers

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

2/15 of an airline's flights are international. The airline's flights are equally divided among 8 countries. What fraction of the​ airline's flights are to each​ country? If the airline has 2700 flights in​ all, how many are​ international? How many are not​ international? How many are to each of the ​6 countries?

Answers

Answer:

The fraction of the​ airline's flights for  each​ country is 1 /60

The number of international  airline flights is 360 flights

The number of flights for each of the 8 countries is 45 flights

Step-by-step explanation:

Given;

international airline's flights = 2/15

number of countries = 8

total number of the airline flight

The fraction of the​ airline's flights for  each​ country;

[tex]= \frac{2}{15}*\frac{1}{8} \\\\ = \frac{1}{60}[/tex]

The number of international  airline flights;

[tex]= \frac{2}{15} *2700\\\\= 360 \ flights \ are \ international[/tex]

The number of flights for each of the 8 countries;

[tex]= \frac{1}{8} *360\\\\= 45 \ flights \ \\\\OR\\\\= \frac{1}{60}*2700\\\\ = 45 \ flights[/tex]

What is the mean height of Bella's corn stalks?

A 69cm

B 75cm

C 78cm

D 80cm

E 81cm

Answers

Answer:

C. 78

Step-by-step explanation:

Add all of them together, then divide by 5 because there are 5 different plants.

C.78 add all together then divided by 5

4) Tony pays $245 for a PS4. He decides to sell the PS4 with a 30%
markup. How much is Tony selling the PS4 for?

Answers

Answer:

175

Step-by-step explanation:

trust me .

Answer:

318.5

Step-by-step explanation:

30% of 245 is 73.5

245 + 73.5 = 318.5

Can someone send me the answer to the question in the photo? (with solutions)

Answers

Answer:

This is so easy question .

I can do.

The post office is selling 7 cent stamps and 9 cent stamps. If a package requires 43 cents to mail, how many 9 cent stamps will you need?

Answers

4 9 cent stamps and 1 7 cent stamp

If a package requires 43 cents to mail, the number of 9 cent stamps that will be needed is 41cent  is the value needed.

What is meant by  mathematical equation?

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Identify the question that is being asked. Write the pertinent details in straightforward statements. Give values that need to be discovered symbols. Find the mathematical connections between the assertions.

The most well-known equation in the entire universe is E=mc2. Just like that. It is succinct, elegant, and expresses a phenomenon that is so important that everyone should be aware of it.

Given,

The equation will be:

7x + 9y = 43

7(2) + 9(3) =41

14+ 27 = 41

Since the value that's is gotten not equal to 43  

Therefore  The value is  41 cent  is needed to 9 cent stamps

To learn more about mathematical equation refer to:

https://brainly.com/question/2972832

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Calculate the unit rate for each option of Takis, explain which option is better,
and why?

Answers

Answer: .42 for left bag .22 for right bag

(1st explanation is the left bag and the 2nd in the right bag)
Explanation: If the bag is $1.68 for 4oz of takis and you want to find the unit rate you do 1.68 divided by 4 which equals $0.42 per oz of takis.
2nd Explanation: If its $4.42 for 20 oz of takis do 4.42 divided by 20 which equals $0.22.

Explanation for the teacher (I saw the worst words ever, "why?": The right bag of takis are the best value since the left bag is a little bit less than twice the right bag.

Answer:

they are better because they are cheeper than the other

I need helpppp?!!!
What is the slope of the line??
Please give right answer

Answers

Answer: -1/2

Step-by-step explanation:

Slope=rise/run

Up 1 and to the left 2 which makes it a negative

slope = -1/2

to find this, take two points from the graph. I used (0,3) and (2,2). Then find the difference between the y coordinates and x coordinates. So in this case, the difference between 3 and 2 is 1. And the difference between 0 and 2 is two. And remember it is rise over run so that makes it 1/2. And lastly, you know it's negative because the graph is decreasing. hope this helpsss

PLZ HELP ME HELP PLZ

Answers

Answer:

2000

Step-by-step explanation:

that i the answer becuase you multply

Which of the following can be concluded given Z1 a ZT?
4
3/2
5
a

Answers

D alternate exterior angles

Kathy ran the 400-meter dash in 60.48 seconds. She ran the 200 meter dash in 28.9 seconds.If she divided her 400-meter dash time in 8 equal time segments, how long would it take cathy to run one of these segments Please HELPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

Step-by-step explanation:

Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:

[tex] t = 60.48 s [/tex]

By dividing the above equation into 8:

[tex] t = \frac{60.48 s}{8} = 7.56 s [/tex]

Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

I hope it helps you!

6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr​

Answers

9514 1404 393

Answer:

  3.5 hr

Step-by-step explanation:

We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...

  (lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35

Multiplying by 35/8, we have ...

  (35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5

It will take 8 lumberjacks 3.5 hours to cut down 35 trees.

What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?

Answers

Answer:

y=1/3-1 ...............

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