Mathematics College

Simplify (use only positive exponents) : (3y^10)(2y^2)/8y^5

please explain how you did it so that I can understand what I'm doing <3

Answers

Answer 1
When multiplying variables with exponents, all you have to do is to add the exponents and that’s the ‘product.’

So;

(3y^10)(2y^2) is equal to (3)(2)(y^10+2).

6y^12/8y^5


When dividing exponents, you do the opposite and subtract the exponents. And you divide the whole number by half.


6y^12/8y^5 = 3y^7/4

Related Questions

Someone please help me ASAP

Answers

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.

By how much was the price discounted?

Answers

Answer:

40%

Step-by-step explanation:

Discount price = 22 - 13.20 = $8.80

Discount percentage = [tex]\frac{8.80}{22}*100\\[/tex]

                     

                                   = 40%

Find the slope of the line through each pair of points.
(3,-10), (14,-10)

Answers

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, -10)

Point (14, -10)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{-10+10}{14-3}[/tex][Fraction] Add/Subtract:                                                                                 [tex]\displaystyle m=\frac{0}{11}[/tex][Fraction] Divide:                                                                                            [tex]\displaystyle m=0[/tex]

Help me solve this pls

Answers

I think the answer is b

Identify the rate of change of the function.

Answers

67Answer:67

Step-by-step explanation:

Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )

Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.

Answers

Answer:

c it offers lower interest rates

2x plus 3 plus x2; for x = 4

Answers

Answer:

2x+3+x2 if x=4 is 27

Step-by-step explanation:

2*x or 2*4=8

8+3=11;

and x or 4 times itself is 16

so we add it all together and get 27.

Have a great day!

Answer:

27

Step-by-step explanation:

Not sure if you mean x to the power of 2, so I'll assume that.

Replacing the variable for 4 should look like:

2(4) + 3 + 4^2

8 + 3 + 16 (4 to the power of 2 is equivalent to 4 x 4 which is 16)

Now add them all, 27.

determine the simple interest when:
principal is $890, interest rate is 4.25% and the time is over 2 years​

Answers

Answer:

$75.65

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 890 × 0.0425 × 2 = 75.65

I = $ 75.65

The simple interest accumulated

on a principal of $ 890.00

at a rate of 4.25% per year

for 2 years is $ 75.65.

What is 3(2x +7x - 5 )

Answers

Answer:

x = 15/27

Step-by-step explanation:

3(2x + 7x - 5)

Distribute the 3

6x + 21x - 15

Combine like terms

27x - 15 = 0

27x = 15

x = 15/27

Answer:

27x - 15 is your expression

Step-by-step explanation:

3 x 2x = 6x and 3 x 7x = 21x so 21x + 6x = 27x and 3 x 5 = 15 so 27x - 15 is your expression

Needing some help please

Answers

Answer: Should be (4,0)

Step-by-step explanation:

What are the terms to this polynomial: 4x2 + 9x - 1/2

Answers

Answer:

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

1.5. I copied the guy above !

HELP ME PLEASE FAST!!!!!!!!!!!!!!!1

Answers

Answer:

B.

Step-by-step explanation:

B. is the answer

Help with number one!! Explain how you did it please!! Thank you.

Answers

Answer:

x=2, x=-3

Step-by-step explanation:

what is the square root of 64

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x8=64 so √64=8. hope this helps!

6. Which of the following is equivalent to (17m + 3) + (3m - 1)?
A. 14m + 2
B. 14m + 4
C. 20m + 2
D. 20m +4

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C

Which of the following is an example of a reserved power?

A. raising and maintaining a navy

B. declaring war and governing combat

C. establishing and funding a system of public education

D.coining money and fixing the standards of weights and measures

Answers

Answer:

B

Step-by-step explanation:

Which expression is equivalent to 7(-7v - 7) - v?
-49V - 50
-50v - 49
-8V - 49
-50v - 7

Answers

Answer:

-50v - 49

Step-by-step explanation:

Just distribute you can even use a calculator

50v 49:))))(fgggggggggggy

In what way does the power of judicial review act as a check?


A. Courts can review acts of other courts


B. Courts can impeach the president


C. Courts can declare congressional acts unconstitutional


D. Courts can check on other courts to make sure they are acting constitutionally

Answers

Answer:

a

Step-by-step explanation:

The figures are similar. Find x.

Answers

6/9=x/21
x=21*6/9
=126/9
x=14

Clark typed 720 words in 18 minutes. How many words can he type in one minute?​

Answers

Answer:

Clark can type 40 words in one minute

Step-by-step explanation:

Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex]  Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40

I hope this helps!

720/18 = 40

He can type 40 words a minute

7 4 9 as an improper fraction

Answers

67/9

shehsjwhwbsvwhwhw

Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?

Answers

-16.2! Hope it’s right sorry if it’s not!!!
9%. 180000x9%=196200

-37 ≥ n - 20
What could n be??

Answers

Answer:

-78

Step-by-step explanation:

-78 - 20 = -98 which is less than -37,

im sorry this answer might be wrong i tried my best

n (is less than or equal to) -17

Answer these please. :0

Answers

Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

If you answer your the G.O.A.T. Pleaseeeeeeeee somebody answer

Answers

Answer:

[tex]8 - 10 = -2[/tex]

[tex]-20 - 10 = -30[/tex]

[tex]-2 - (-19) = 17[/tex]

[tex]-25 -35=-60[/tex]

Step-by-step explanation:

(a)

[tex]8 - 10[/tex]

Rewrite as addition:

[tex]8 - 10 = 8 + (-10)[/tex]

[tex]8 - 10 = -2[/tex]

(b):

[tex]-20 - 10[/tex]

Rewrite as addition:

[tex]-20 - 10 = -20 + (-10)[/tex]

[tex]-20 - 10 = -30[/tex]

(c)

[tex]-2 - (-19)[/tex]

Rewrite as addition:

[tex]-2 - (-19) = -2 +19[/tex]

[tex]-2 - (-19) = 17[/tex]

(d)

[tex]-25 -35[/tex]

Rewrite as addition:

[tex]-25 -35=-25 +(-35)[/tex]

[tex]-25 -35=-60[/tex]

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers

Answers

Answer:

She decided to survey each other child instead of every child

Step-by-step explanation:

Sorry if im wrong

Answer:

so if you have a multie chose it would be A D E

Step-by-step explanation:

Find the value of k please

Answers

You need a graphing calculator or just use an app on your phone (Desmos is a good app to use). I show what to do in the photo below.

what are your thoughts about the choice of music style and genre in hamilton? Give reasons for your answer (write a paragraph with a few lines) please don’t waste my points because i really need this i’ll also give brainliest.

Answers

My thoughts on the music genre and music
Style is quite a fun quirky music style in my opinion I also feel as if the music genre has a story behind it. Tell me if you need more lines

Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+____)

A. -9
B. -3
C. 3
D. 9

Answers

Answer:

3

: The term that completes the product so that it is the difference of squares is 3.

Doreen Schmidt is a chemist

Answers

Answer:

that isnt a question but good to know! :)

Step-by-step explanation:

okay


thanks for the answer ig
Other Questions
Hello! I have to write an essay based on the Water Cycle and what it is/does. I will give Brainliest for the correct answer. I will also give 20 points to whoever writes the essay, and has the correct answer. Good luck. Which of the following documents is a foundation for the American values of self-government and limitedpower?A. the English Bill of RightsB. the Mayflower CompactC. the Virginia Declaration of RightsD. the Fundamental Orders of ConnecticutPlease select the best answer from the choices providedABD Anyone know the answer for this Why would the Chinese governmenttoday ban footbinding? -20 greater than or equal to 5wHurry!!! Evaluate the expression when x = 2 and y = 6, show all your work.[tex]2x^{3} +3y-4[/tex] One of the MOST significant contributions to the agricultural development of the Midwest during the 19th century was Was recently given an essay assignment, providing an image of artwork by Archan Nair, which states-"Write about the way the photographer used the Elements of Art according to the Principles of Design. " I'm not sure what "according to" is supposed to mean because as I understand it, one is not a category of another. who was the chairman of drafting committe what is an equality impact assessment Please can someone help me... h e l p I need the solution. Please give stepsy = 10x + 20y = 20x + 10 1. Which body system breaks down starch Can u answer all three pls One of Musa's notable characteristics was that he expanded the empire of Ghana to its greatest size.ruled as the first Muslim emperor.spread his immense wealth to the people he ruled.consolidated his empire from provinces into a single nation. What do we learn about the strange lady in the elevator A produce box can hold no more than 25 pounds of potatoes, write and graph an inequality to represent this situation 7. 8x - 4= 4(2x + 1) have how many solutions Suppose f(x)=x+2. Find the graph of f(1/3x)