Describe any patterns/relationships that you notice between the Powers of 10, the expressions, what they equal (standard form), or amount of zeros in the product. Try to use math vocabulary in your explanation below. You may use examples to support your response.

Answers

Answer 1

Answer:

The powers of 10 are things of the form:

10^n.

Where we assume that n is an integer number.

if is equal or larger than 0, then:

We add n zeros at the right of the 1.

so let's write some examples.

10^0 = 1  (we do not add any zero)

10^1 = 10 (we add one zero)

10^2 = 100  (we add two zeros)

...

Now, remember that x^-y = 1/x^y, then:

If n is smaller than zero, then we add n zeros at the left of the 1.

10^-1 = 1/10 = 0.1   (one zero at the left)

10^-2 = 1/100 = 0.01    (two zeros at the left).

Those relations will be useful to always know the exact dimensions of the powers of zero.

Now, we can give a more complete description knowing that:

x^a*x^b = x^(a + b)

Then if we have:

10^3*10^4 = 100*1,000 (and this may be hard to do)

But we can use the above relation:

10^3*10^4 = 10^(3 + 4) = 10^7

Then we know that we must add 7 zeros at the right of the 1.

And this will work for any integer powers of 10.


Related Questions

PLS HELP ME ASAP!! THIS IS DUE IN FIVE MINUTES!! (100 POINTS IF YOU ANSWER IT)

Answers

Answer:

i think B

Step-by-step explanation:

Find all the zeros of j(x)=2x^4-5x^3-5x^2+20x-12

Answers

Answer:

j ( x ) = x 2 − 6 x − 9

f ( x ) = ( x − 3 ^)3

f ( x ) = 6 x 18

Step-by-step explanation:

Priscilla can make 3 bracelets in 16 minutes. At this rate, how many bracelets can she make in 48 minutes?

Answers

Answer:

She can make nine bracelets! Hope this helps :)

Answer:

9

Step-by-step explanation:

3    |    16

6    |    32

9    |    48

An arithmetic series in sigma notation is shown. What is the sum of the first 14 terms of the series

Answers

Answer:

-298

Step-by-step explanation:

Given the relation above :

n = 1 through 14

For n = 1

22 - 6(1)

n = 2

22- 6(2)....

Hence, sun of first 14 terms :

(22 - 6*1) + (22 + 6*2) + (22 - 6*3) + (22 - 6*4) + (22 - 6*5) + (22 - 6*6) + (22 - 6*7) + (22 - 6*8) + (22 - 6*9) + (22 - 6*10) + (22 - 6*11) + (22 - 6*12) + (22 - 6*13) + (22 - 6*14)

= - 298


4(2x - 5) -6( ) = 6+9) + (2x - 5)

Answers

Answer: x=6

Step-by-step explanation:

Step 1: Remove parentheses.

4(2x-5)-6=6+9+2x-54(2x−5)−6=6+9+2x−5

Step 2: Simplify  6+9+2x-56+9+2x−5  to  2x+102x+10.

4(2x-5)-6=2x+104(2x−5)−6=2x+10

Step 3: Expand.

8x-20-6=2x+108x−20−6=2x+10

Step 4: Simplify  8x-20-68x−20−6  to  8x-268x−26.

8x-26=2x+108x−26=2x+10

Step 5: Add 26 to both sides.

8x=2x+10+268x=2x+10+26

Step 6: Simplify  2x+10+262x+10+26  to  2x+362x+36.

8x=2x+368x=2x+36

Step 7: Subtract 2x2x from both sides.

8x-2x=368x−2x=36

Step 8: Simplify  8x-2x8x−2x  to  6x.

6x=36

Step 9: Divide both sides by 6.

x= 36/6 as a fraction

Step 10: Simplify  \frac{36}{6} to 6.

x= 6x

[tex] \bold{4(2x - 5) -6 = 6+9) + (2x - 5)}[/tex]

[tex] \bold{4(2x−5)−6=6+9+2x−5}[/tex]

[tex] \bold{4(2x−5)−6=2x+10}[/tex]

[tex] \bold{8x−20−6=2x+10}[/tex]

[tex] \bold{8x=2x+10+26}[/tex]

[tex] \bold{8x=2x+36}[/tex]

[tex] \bold{8x−2x=36}[/tex]

[tex] \bold{6x=36}[/tex]

[tex] \bold{x = \cfrac{36}{6}} [/tex]

[tex] \bold{x = 6}[/tex]

Note: The Parentheses must be eliminated to then use the law of signs, then we must expand the numbers, then simplify (that is, subtract) Now in the next step is to Add 26 on both sides then we must subtract and then add until we get the result of 6, so that ultimately we can take out a fraction and give us the correct answer, which is [tex]\bold{x=6}[/tex]

using the pattern rule find the missing value in the table​

Answers

Answer:

7

Step-by-step explanation:

1+3=4

2+3=5

3+3=6

4+3=7

Round 198.1 to the nearest tenth,hundredths,hundred

Answers

Answer:

200

Step-by-step explanation:

The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?

Answers

Answer:

bat ang pogi ko hahahaha

Write an expression equivalent to -4(-6m - 7).

Answers

Answer: 24m+28

Step-by-step explanation:

Distribute the negative four among the two terms.

Answer:

[tex](12*2)m+(-56/-2)[/tex]

I hope this helped :)

como se obtiene la raiz cuadrada de un numero? ​

Answers

Answer:

Multiplica el numero por si mismo.

Step-by-step explanation:

Por ejemplo, la raíz cuadrada de 3 es 9 porque 3x3=9

7/8 square foot in 1/4 hour

Answers

Answer:

2 1/2

Step-by-step explanation:

The unit rate for the given parameters is 3 1/2 square feet /hour.

Given that, 7/8 square feet in 1/4 hour.

We need to find the unit rate.

How to find unit rate?

In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.

Now, unit rate = 7/8 ÷ 1/4

=7/8 × 4 =7/2

=3 1/2 square feet /hour

Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.

To learn more about a unit rate visit:

https://brainly.com/question/11258929.

#SPJ6

You drive to visit your parents, who live 100 miles away. Your average speed is 50 miles per hour. On arrival, you stay for five hours and then return home, again at an average speed of 50 miles per hour. Which graph depicts your distance from home from the time you leave until you return?

Answers

Answer: The first graph is the answer.

Step-by-step explanation: If your parents house is 100 hours away, and you're driving at 50 mph, then it would take 2 hours to get to you're parents house (100 ÷ 2 = 50). Then you stay at your parents house for 5 hours (2 + 5 = 7), the graph stays the same place on the y axis for 5 hours. Afterwards you drive home, same distance as when you drove to your parents (2), but you're going back so it's going down. This makes graph 1 the answer.

Answer:

The first graph A

Step-by-step explanation:

Just took the test on edgetrash lol

A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 6 1/4 °F. The submarine dives down 115 feet deeper, and the water temperature drops by 2 1/5 °F. What were the elevation and the water temperature after the submarine dove? Assume that sea level is at 0 feet of elevation. Complete the steps below to solve the problem.

Answers

Step-by-step explanation:

At the elevation 617.5 feet below the sea level temperature of the water was °F

Step-by-step explanation:

At 502.5 feet below the sea level temperature of the water is °F

When submarine dives down 115 feet deeper, water temperature drops by °F

Elevation after the submarine dove = -502.5 - 115 = -617.5 feet

This negative sign represents the elevation below the sea level.

And the temperature will be = 

                                               = 

                                               = 

                                               = 

                                               = °F

Therefore, at the elevation 617.5 feet below the sea level temperature of the water was °F

Hope it will help you.....

Answer:

that is correct

Step-by-step explanation:

Scott and Trevor each have some quarters. Trevor has 9 more quarters than Scott. The combined value of their quarters is $8.75 cents. How many quarters does Trevor have?

Answers

Answer:

I think it is $6.50.

Step-by-step explanation:

If you take the value of a quarter .25, and just subtract that 9 times, you'll get your answer

Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.
A.StartFraction 16 over negative 3 EndFraction
B.StartFraction negative 16 over negative 3 EndFraction
C. StartFraction negative 16 over 3 EndFraction
D.StartFraction 16 over 3 EndFraction
E.Negative (StartFraction 16 over 3 EndFraction)
F.Negative (StartFraction 16 over negative 3 EndFraction)

Answers

Answer:

- 8/3

Step-by-step explanation:

eh

The fractions that have the same value as 16 ÷ (–3) is StartFraction 16 over negative 3 EndFraction. Option A is correct.

As we all know that a fraction comprises of majorly the upper part which is the numerator, separated by a division line, and the lower part which is the denominator.

The given expression 16 ÷ (–3) can be represented in fraction as;

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

From the given options:

A. StartFraction 16 over negative 3 EndFraction

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

B. StartFraction negative 16 over negative 3 EndFraction

[tex]\mathbf{=\dfrac{-16}{-3} }[/tex]

[tex]\mathbf{=\dfrac{16}{3} }[/tex]

C. StartFraction negative 16 over 3 EndFraction

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

D.  StartFraction 16 over 3 EndFraction

[tex]\mathbf{\dfrac{16}{3}}[/tex]

E.  Negative (StartFraction 16 over 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{-3}}[/tex]

F. Negative (StartFraction 16 over negative 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{-3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

Therefore, from the above explanation, we can see that only option A is correct.

Learn more about fractions here:

https://brainly.com/question/14748058?referrer=searchResults

Rewrite in simplest terms: 4(-3f-4)-9f

Answers

Answer:

-21f-16

Step-by-step explanation:

4(-3f-4)-9f

-12f-16

Round 297,433 to the nearest hundred.

Answers

Rounded to the nearest hundred would be 297,400

Hope this helps!

Answer:

297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.

The curved surface area of a right circular cylinder of height14 cm is 88 cm2. Find the diameter of the base of the cylinder.

Answers

Answer:

4

Step-by-step explanation:

The formulae for Curved surface

area = πrh

Area = 88cm2

height = 14cm

radius = ?

Let π be 22/7

88 = 22/7 x r x 14

cross multiply

88 x 7 = 22 x 14 x r

616 = 308r

Divide both sides by 308

r = 2

Diameter = Radius x 2

so our radius is 2, 2 x 2 = 4

Apocalyptica Corp. pays a constant $18 dividend on its stock. The company will
maintain this dividend for the next 4 years and will then cease paying dividends
forever. If the required return on this stock is 7.78 percent, what is the current share
price?​

Answers

Given :

Apocalyptica Corp. pays a constant $18 dividend on its stock.

The company will  maintain this dividend for the next 4 years and will then cease paying dividends  forever.

To Find :

If the required return on this stock is 7.78 percent, what is the current share

price.

Solution :

Current price ( After 4 hours ) :

[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]

Therefore, current share  price is $57.058 .

Hence, this is the required solution.

given the function g(x)=x^2-2 find the range for the domain (-2,-1,1,3)

Answers

Answer:

(-2,2)

(-1,-1)

(1,-1)

(3,7)

If you graph it with a graphing calc. and pinpoint the X's(domains) then you can see the Y's(ranges)

If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

g(x) = x² - 2

The value of the function at x = -2 is given as,

g(-2) = (-2)² - 2

g(-2) = 4 - 2

g(-2) = 2

The value of the function at x = -1 is given as,

g(-1) = (-1)² - 2

g(-1) = 1 - 2

g(-1) = - 1

The value of the function at x = 1 is given as,

g(1) = (1)² - 2

g(1) = 1 - 2

g(1) = - 1

The value of the function at x = 3 is given as,

g(3) = (3)² - 2

g(3) = 9 - 2

g(3) = 7

If the domain of the function is (-2, -1, 1, 3). Then the range of the function will be (1, -1, -1, 7).

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Is this the answers? Idk I’m dumb

Answers

Answer:

Step-by-step explanation:

yes i think

In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?

Answers

Answer:

-64

Step-by-step explanation:

multiply -16 by 4 to get the total of -64

Consider the expression –4b + 8c + 12 – 8b – 2c + 6. Part A Simplify the expression. b + c + Part B Factor the simplified expression using the GCF. 2(–2b + c + 3) 3(–2b + c + 3) 4(–2b + c + 3) 6(–2b + c + 3) Part C What is the value of the expression when b = 2 and c = –3?

Answers

Answer:

Step-by-step explanation:

Given the expression

-4b + 8c + 12 – 8b – 2c + 6.

To simplify, first collect the like terms

= (-4b-8b)+(8c-2c)+(12+6)

= -12b+6c+18

Factor out the GCF

The GCF is 6

On factoring out;

= 6(-2b+c+3)

If b = 2 and c = -3 the expression becomes:

= 6(-2(2)+(-3)+3)

= 6(-4-3+3)

= 6(-4+0)

= 6(-4)

= -24

Hence the value of the expression when b = 2 and c = -3 is -24

Answer:

3

Step-by-step explanation:

Noah gave his mom 3 types of flowers: 6 big red roses, 8 small white carnations, and 3 big yellow sunflowers in a bouquet. What is the ratio of big flowers to total flowers?

could you explain. to please?
help?! :)​

Answers

3 types of flowers

6 big red roses
8 small carnations
3 big sunflowers

Ratio of big:total

6 + 3 : 6 + 8 + 3
9 : 9 + 8
9 : 17

Solve for x. Enter the solutions from least to greatest. (2x +4)(3x -2)=0

Answers

-0.4

Step-by-step explanation:

You need to combine like terms, whatever that means. So you would add 2x and 3x to get 5x, and then 4+(-2), which would get you to 5x+2=0. Next, you subtract 2 from both sides, so you have 5x=(-2), and then you have to divide both sides by 5.

That's how I got x=(-0.4).

Answer:-2, 2/3

Step-by-step explanation:

I did on khan academy

Your family drives across Kansas on Interstate 70. A sign reads, “Wichita 90 mi, Topeka 110 mi”. What is the possible range of distances between the two cities given that the cities are not collinear?

Answers

Answer:

20 miles < The distance between the cities < 200 miles

Step-by-step explanation:

The given information on the sign = "Wichita 90 mi, Topeka 10 mi"

Given that the two cites are not colinear, we have;

The number of points specified in the figure = 3 points

The specified points are;

1) The location of the family

2) The location of Wichita, relative to the family's location, = 90 mi

3) The location of Topeka, relative to the family's location, = 110 mi

Therefore, given that the three points are not colinear, they form the vertices of a triangle

The legs of the triangle are 90 mi and 110 mi

The maximum distance between Wichita and Topeka is therefore = 90 + 110 = 200 miles

The minimum distance distance from Wichita to Topeka = 110 - 90 = 20 miles

Therefore, the possible range of distances between the two cities is 20 miles to 200 miles.

Which gives;

20 miles < The distance between the cities < 200 miles.

Find the solution of this system of equations
-5x = -21 + by
-5x + y = -84

Answers

Answer:

x=15 and y=-9

Step-by-step explanation:

Compare using , or =.

8 x 103 ___ 9 × 100

Answers

[tex]8 \times 103 < 9 \times 100[/tex]

This is because :-

[tex] = 8 \times 103[/tex]

[tex] = 824[/tex]

is smaller than :-

[tex] = 9 \times 100[/tex]

[tex] = 900[/tex]

As , 824 < 900

Therefore , the correct answer is :-

8 × 103 < 9 × 100

Answer:

9 time 100 is the right answer

Step-by-step explanation:

Geri believed the answer to one of her homework problems was 2 cubed. After checking her work, she realized the correct answer was 2 Superscript 9. How do these two answers compare?
A.The correct answer is 3 times Geri’s original answer.
B.The correct answer is 6 times Geri’s original answer.

C.The correct answer is 9 times Geri’s original answer.

D.The correct answer is 64 times Geri’s original answer.

Answers

Answer:

D

Step-by-step explanation:

(66÷11)3-6∙8
107+28-512
can someone help me with these 2 questions and explain

Answers

To your question I recommend using GEMDAS/PEMDAS

Grouping Exponent Multiply Divide Add Subtract

Parentheses Exponent Multiply Divide Add Subtract

Go in this order left to right

Answer: (66/11)^3-6*8 = 168

              10/7+28-51/2 = 23.93

Step-by-step explanation:

First set:

(66/11)^3-6*8

(66/11)=6

(6)3-6*8

6^3=216

216-6*8

6*8=48

216-48= 168

Second Set:

10/7+28-51/2

= 206/7-5.5

= 23.928571

we would want to round that answer to 23.93

optional answers:

24

23.9

23.929

etc.

There's your answer

correct me if I'm wrong, or if this wasn't what you were looking for

Good Luck!

Edit:

the exponent is the number 3 also for the 1 question and for the 2 question the 10 and the 7 the a fraction and the 1 and two is a fraction

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