What are the laws of exponents

Answers

Answer 1
the exponent of a number says how many times to use the number in multiplication.
Answer 2

Answer:

One rule to remember that everyone forgets is, multiply the base number as many times as what the exponent is. So for example, 3² is not 3 x 2 = 6, it's    3 x 3 = 9. Hope that makes sense! :)

Step-by-step explanation:



Related Questions

Jamie practiced the piano every four days. He had a piano lesson every nine days. How many more days will it be until Jamie practices and has a lesson on the same day?

Answers

i think the answer is 9 times 4
36

Please Help ASAP and Explain Please :)


A teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the test:


Which class should get the reward, and why?
A. The 2nd period class should get the reward. They have the highest score, a perfect 100.
B. The 2nd period class should get the reward. They have a higher median.
C. The 4th period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd period class.
D. The 4th period class should get the reward. Their lowest score is an outlier, and should be thrown out.

Answers

The answer is C.  The 4th period class should get the reward.  Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd period class.

A 7-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 11 feet long. How tall, in feet, is the utility pole?

Answers

DIvide 11 by 2

11/2

5.5

Multiply that by 7

5.5x7

38.5 feet tall

Answer:

The height of the pole is 38.5 m.

Step-by-step explanation:

Given information:

The height of stop sign is [tex]h=7\rm \; ft[/tex]

Length of shadow of stop sign is [tex]l=2\rm \; ft[/tex].

The length of shadow of pole is [tex]L=11\rm \; ft[/tex].

Now, the shadow is measured at the same time for both the cases. So, the triangles formed by stop sign and its shadow, and pole and its shadow will be similar.

For similar triangles, the sides are always in same proportion.

Solve for the length of pole as,

[tex]\dfrac{H}{h}=\dfrac{L}{l}\\\dfrac{H}{7}=\dfrac{11}{2}\\H=7\times 5.5\\H=38.5[/tex]

Therefore, the height of the pole is 38.5 m.

Refer the diagram for more clarity.

For more details, refer the link:

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Miguel spent 1/8 of his savings on a new video game system. Mila spent 12% of her savings on a DVD, and Manny spent 0.1 of his savings on a skateboard. Who spent the most of their savings? PLZ EXPLAIN HOW YOU GOT THE ANSWER!!!!

Answers

hshhshs ssu sid si sisis s   sis s  s s is is sis si sis s s isis s i si
well 1/8 is 12.5% which is .5 more than 12% and 0.1 is 10% so 1/8 is the greatest.

Celina can walk 4 miles in 1 hour and can run 8 miles in 1 hour. What percent of Celina’s average running speed is her average walking speed? A. 25% B. 50% C. 75% D. 100%

Answers

Okay. So, we're looking for the percentage of Celina's running speed as her walking speed. Her running sped is 8 mph and her walking speed is 4mph. All we have to do is 4/8 = x/100. You put change/original and x/100, because we're looking for the percent of change from running speed to walking speed.  Cross multiply the values to get 400 = 8x. Divide each side by 8 to isolate the "x". 400/8 is 50. x = 50. Celina's walking speed is 50% of her running speed. The answer is B: 50%.

There are different kind of speed in mathematics like average speed, instantaneous peed, to solve this question we need to know the concept of average speed. Therefore the correct option is option B

What is average speed?

Average speed is defined as the total sum of distance divided by total sum of time

Mathematically,

Average speed  = total distance ÷total time taken

Here we have to find the percent of of Celina’s average running speed

So for this we will apply formula as

(Difference in distance ÷original distance)×100

So from question, Celina walk  4 miles in 1 hour  and can run 8 miles in 1 hour so, the the difference in distance between running and walking is 8-4= 4

So to find the percent of Celina’s average running speed is her average walking speed = (4 ÷8)=50%

Therefore, Celina’s average running speed is her average walking speed is 50%. The correct option is Option B

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Alton had $18.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?

Answers

divide the money he has to spend by the price per jar

18 / 1.14 = 15.79

since he can't buy 0.79 of a jar round your answer down, he can  buy 15 jars

the answer would be 15 jars 

How do I solve this using elimination?

80x + 45y = 645
x + y = 12

Answers

x + y = 12  / x (-45);
Then, -45x - 45y = -540;
We have 80x + 45y = 645 and
               -45x - 45y = -540
            ________________
                35x           = 105;
Finally, x = 105÷35;
x = 3;
y = 12 - 3;
y = 9;
If you combine like terms and do them differently you will have 3 different answers

A collector's model racecar is scaled so that 1 inch on the model equals 6 feet on the actual car. If the model is 0.75 inches high, how many feet high is the actual car? Enter your answer as a decimal.

Answers

4.5, since 6 times .75 (the model height) is 4.5

Which is a simplified form of the expression 5c – 7(2c – 4)? A. 9c + 28 B. -9c + 28 C. 9c - 28 D. -9c – 28

Answers

5c - 7(2c - 4)
Distribute the 7 to everything inside the parenthesis.
5c - 14c + 28
Combine similar terms.
-9c + 28.

Hope that helped! :)

Answer:

b

Step-by-step explanation:

1520 divided by 83 with remainder

Answers

To find 1520 divided by 83 with the remainder, divide 1520 by 83, which results in 18 with a remainder of 26.

The question from the student involves dividing 1520 by 83 and finding the remainder. To perform this calculation, we divide 1520 by 83. The quotient is the whole number result of the division, and the remainder is what is left over after the division.

Here's how you'd calculate it:

Divide 1520 by 83.

Find the whole number quotient, which is the number of times 83 goes into 1520 completely.

Calculate the remainder by subtracting the product of the quotient and 83 from 1520.

In this case, 1520 \\div 83 is 18 with a remainder of 14, since 83 x 18 = 1494, and 1520 - 1494 = 26. Therefore, 1520 divided by 83 equals 18 with a remainder of 26.

Convert 5 over 8 to a decimal and tell whether it terminates or repeats.
A. 5.8, a number that terminates
B. 5.8 with a repeating bar over 8, a number that repeats
C. 0.625 with a repeating bar over 625, a number that repeats
D. 0.625, a number that terminates

Answers

D.. the number terminates.

Answer:

D because 5 over 8 is 0.625 when as a decimal and that means that the number terminates because the number does not repeat

Step-by-step explanation:

hopefully i am right and i do not want brainiest give it to the other guy

The circumference of a circle of radius r is given by the polynomial 2 pi r2πr​, where piπ is an irrational number. For an approximation of piπ​, use 3.14. Find the circumference of a circle with radius 18 cm18 cm.

Answers

To find the circumference you use c = pi d. Radius * 2 = Diameter
c = 3.14(36) 
c = 113.04 in. square.

A dozen eggs cost $1.32 at the grocery store. How much profit would a restaurant make if they sold 1 scrambled egg for 99 cent ?

Answers

You’d get 12 dollars minus 1.32 which is 10 dollars and 68 cents

write the ratio as a fraction in simplest form. 32:42

Answers

16/21 is your answer

You can take a 2 out of both numbers to get your answer

I hope this helped! :)

16/21 is the simplest form you can't simplify any more

Helpppp now please helpppp

Answers

The correct answer is:  [B]:  " [tex] \frac{(-3)(4)}{(6)} [/tex] " . 
__________________________________________________________
Consider choice [A]:  [tex] \frac{(3)(4)}{(6)} [/tex] ; 
                              = [tex] \frac{12}{6}[/tex] ; 
                              = 2 ;  "2 ≠ -2" ; so we can rule out:  "Choice [A]" .
__________________________________________________________
Consider choice [B]:  [tex] \frac{(-3)(4)}{(6)} [/tex] ; 
                              = [tex] \frac{-12}{6}[/tex] ; 
                              =  "-2" ;  Yes!
→ Let us proceed with the final answer choice ;
__________________________________________________________
Consider choice [C]:  [tex] \frac{(-3)(-4)}{(6)} [/tex] ; 
                              = [tex] \frac{12}{6}[/tex] ; 
                              = 2 ;  "2 ≠ -2" ; so we can rule out:  "Choice [C]" .
__________________________________________________________
The correct answer is:  [B]:  " [tex] \frac{(-3)(4)}{(6)} [/tex] "  .
__________________________________________________________

B. I did my math

Using google

how long would it take to travel 200 meters at 5 m/s

Answers

Hello! To answer this question, all you have to do is divide the amount traveled by the speed per second. 200/5 is 40. It would take 40 seconds to travel 200 meters.

To travel 200 meters at 5 m/s, it would take 40 seconds.

To travel 200 meters at 5 m/s, we can use the formula for speed:

speed = distance / time

5 m/s = 200 meters / time

time = 200 meters / 5 m/s = 40 seconds

Identify the slope of the line shown in the graph below:

Graph of a vertical line with an x intercept of 3

Answers

I believe the slope of any vertical line is "undefined" because slope= rise(change in y values)/ run(change in x values).

Therefore, the slope for a horizontal line is
m= 0/(x2-x1).

However, for a vertical line the x-values are the values that are not changing. So, m= (y2-y1)/0. It is not possible to divide anything by zero. So, the slope of a vertical line is reported as m= undefined.

Any questions?

What is the distance between points (10,7) and (2,7) on a coordinate plane?
please help me

Answers

The distance between those two points is 8 because its a straight line...

The distance between points (10,7) and (2,7) on a coordinate plane will be 8 units.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that, the points on the coordinate planes are (10,7) and (2,7).

(x₁,y₁) = (10,7)

(x₂,y₂) = (2,7)

The distance between points (10,7) and (2,7) on a coordinate plane is found as,

(d) = √(x₂ - x₁)² + (y₂-y₁)²

Substitute the given values as,

(d) = √(2 - 10)² + (7 - 7)²

=√(-8)² + (0)²

=√64

=8 units

Thus, the distance between points (10,7) and (2,7) on a coordinate plane will be 8 units.

Learn more about the distance formula here:

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An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs in miles per hour?

Answers

[tex] \frac{0.25~mile}{36~s} \times \dfrac{60~s}{1~min} \times \dfrac{60~min}{1~hr} = 25 ~miles/hour[/tex]

Answer: 25 miles per hour

Step-by-step explanation: Since elephant run 1/4 miles in 36 sec

that means in 1 sec elephant runs 1/(4×36) miles

and 1 hour=60×60 sec

that means in 1 hour elephant runs (60×60)/(4×36) miles=25 miles

i.e. elephant runs 25 miles per hour


Question:

Find equivalent expressions for the given expressions.

A. 5/6(x - 6) + 1/6(3 - x)

B. (y + 7)4 + 8 - 5y

Answers

To find equivalent equations, you simply have to simplify both of these :)

a)  5/6(x - 6) + 1/6(3 - x)

Simplify.

5/6x - 5 + 1/2 - 1/6x

Add like terms.

(5/6x - 1/6x) + (-5 + 1/2)

Simplify.

4/6x +(-4.5)

Simplify.

2/3x - 4.5

b) (y + 7)4 + 8 - 5y

Simplify.

4y + 28 + 8 - 5y

Add like terms.

(4y - 5y) + (28 + 8)

Simplify.

-y + 36

~Hope I helped!~

3 teachers for 63 students what is the ratio

Answers

The answer is 3:21 for your question.
3.21 is the answer to your question.

PLEASE HELP!

Q1. A carpenter has 16 1/2 m of wood. He cuts the wood into pieces that are each 2 3/4 m long.


How many pieces of wood does the carpenter cut?


Q2. Divide.

3/5 ÷ 1 1/4

1. 1/4
2.12/25
3. 3/4
4. 2 2/5

Answers

For Q1, we can start out by turning it into a plain fraction. 16*2=32, and 32+1=33, so 16+1/2=33/2. Similarly, for 2 3/4, 2*4=8 and 8+3=11, so 2 3/4=11/4 as the size of each piece of wood. To divide them, we have the numbers 33/2 and 11/4. We first find the reciprocal of the size of a piece (switch the numerator and denominator) and then multiply the 2 fractions - 33/2*4/11=132/22=6 pieces. Using that, I challenge you to do Q2 on your own!

Biff’s candy tax is working great for him. When any other student buys candy from the student store, Biff takes two pieces for himself for every five pieces the student buys. If George bought 35 pieces of candy, how many pieces will go to Biff? Show your work or explain your answer.

Answers

So if every student buys five pieces of candy, he gets two. And if someone buys 35 pieces of candy, think like this:
How many times does 2 go into 35? It doesn't go into 35 evenly because 35 is an odd number. So, you will get a decimal as your answer. 35 ÷ 2 is 17.5, so you put it like this:
If George buys 35 pieces of candy, Biff will take 17 whole candy bars and half of one. (17 1/2). Hope this helps!

Henry has a bag containing 35 letter tiles some consonants and some vowels He selects a tile without looking and then replaces it if he pull 3 consonants tiles and 4 vowel tiles which is the most likely number of consonant tile in Henry’s bag

Answers

So Henry pulled out a total of 7 tiles (3 consonant tiles and 4 vowel times). You take that 7 and divide the total number of tiles, 35 by it.

35/7

=5

This gives you 5

You then take that 5 and multiply it by the amount of consonant vowels he pulled out, which is 3.

5x3

=15

So your answer is...

D.) 15 Tiles

I hope this helped! : )

What's 4.002 in word form?

Answers

It would be four and two thousandths. 

When expressing the given number 4.002 in word form, describe it as "four and two thousandths."

The given number is 4.002.

To express the number 4.002 in word form, we break it down into its individual place values and assign corresponding words to each place. Here's the breakdown:

4.002:

The digit 4 is in the whole number place.The digit 0 in the tenths place.The digit 0 in the hundredths place.The digit 2 in the thousandths place.

Now, let's express each place value in word form:

4.002 is spelled as "four and two thousandths."

Thus, when expressing 4.002 in word form, we describe it as "four and two thousandths."

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What is 7√11√ in simplest radical form?



Enter your answer in the box.

Answers

Answer:

√[tex]\frac{77}{11}[/tex]

The answer in the simplest radical form is [tex]\frac{\sqrt{77}}{11}[/tex].

What is a radical expression?

A radical expression is an expression consisting of a square root or nth root.

The given expression is √7/√11.

Simplify the expression as follows:

√7/√11 × √11 / √11

√77 / 11

Hence, the answer in the simplest radical form is [tex]\frac{\sqrt{77}}{11}[/tex].

Learn more about radical expression here:

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The correct question is?

What is √7/√11 in the simplest radical form?

Ben is going on a 140- mile trip. If he drives for 2 hours at an average speed of 50 miles per hour,how many miles will he still have left to go on his trip?

Answers

Distance = Speed x time
Speed = Distance / time
Time= Distance/Speed
Time= 2hrs
Speed= 50 miles/Hour
Distance = 50 x 2 =100miles
140 - 100= 40

Tom's new credit card has a $35 annual membership fee due in September. In August, Tom received a credit card bill totaling $45 and was only able to pay the $20 minimum payment before the due date. How much balance will show up on Tom's credit card in September if the introductory APR of 0% still applies and the late fee is $30?

Answers

Tom will be $25 short in August.  Thus, he will have to pay that $25, plus the $30 late fee, in September.  That's a total of $55.

Answer:

youre mad dmb bro its 90 so

Step-by-step explanation:

Tom's new credit card has a $35 annual membership fee due in September

Tom received a credit card bill totaling $45 and was only able to pay the $20 minimum payment before the due date.

How much balance will show up on Tom's credit card in September if the introductory APR of 0% still applies and the late fee is $30?

35+25+30=90

2(2a-1) + 3 -a
if a = -5

Answers

It would be -24 and that’s you answer
-14
2(2 *(-5)+1) - 3 +(-5)
2*2*(-6) + (-8)
2 * 2*(-14)
 =-14
Now I could be wrong, but as far as I know, this is correct!

how many time more respondents chose either black or silver than red round to the nearest tenth if necessary

Silver = 0.2
Black = 0.14
Red = 0.09

Answers

In this question you are asked to compare "either black or silver" with "red" and allowed to round up to the nearest tenth. Silver is already rounded to tenth. If you round the black and red then
Silver= 0.2
Black = 0.1  ---> round down because the 0.04 value is 4, which was lower than 5
Red= 0.1 -->round up because the 0.09 value is 9, which was higher than 5

The word 'either black or silver" mean that combination of the frequency. Then the equation should be: black + silver= 0.1 + 0.2= 0.3
If you compare it with red, then: 0.3/ red= 0.3 / 0.1 = 3 times more
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