1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MA_775_DIABLO [31]
3 years ago
11

PLEASE HELP 25 POINTS!!

Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

(27 y^(-8))/(4 x^6)

Step-by-step explanation:

Simplify the following:

(4 (3 x^2 y^4)^3)/(2 x^3 y^5)^4

Multiply each exponent in 2 x^3 y^5 by 4:

(4 (3 x^2 y^4)^3)/(2^4 x^(4×3) y^(4×5))

4×5 = 20:

(4 (3 x^2 y^4)^3)/(2^4 x^(4×3) y^20)

4×3 = 12:

(4 (3 x^2 y^4)^3)/(2^4 x^12 y^20)

2^4 = (2^2)^2:

(4 (3 x^2 y^4)^3)/((2^2)^2 x^12 y^20)

2^2 = 4:

(4 (3 x^2 y^4)^3)/(4^2 x^12 y^20)

4^2 = 16:

(4 (3 x^2 y^4)^3)/(16 x^12 y^20)

Multiply each exponent in 3 x^2 y^4 by 3:

(4×3^3 x^(3×2) y^(3×4))/(16 x^12 y^20)

3×4 = 12:

(4×3^3 x^(3×2) y^12)/(16 x^12 y^20)

3×2 = 6:

(4×3^3 x^6 y^12)/(16 x^12 y^20)

3^3 = 3×3^2:

(4×3×3^2 x^6 y^12)/(16 x^12 y^20)

3^2 = 9:

(4×3×9 x^6 y^12)/(16 x^12 y^20)

3×9 = 27:

(4×27 x^6 y^12)/(16 x^12 y^20)

4/16 = 4/(4×4) = 1/4:

(27 x^6 y^12)/(4 x^12 y^20)

Combine powers. (27 x^6 y^12)/(4 x^12 y^20) = (27 x^(6 - 12) y^(12 - 20))/4:

(27 x^(6 - 12) y^(12 - 20))/4

6 - 12 = -6:

(27 x^(-6) y^(12 - 20))/4

12 - 20 = -8:

Answer: (27 y^(-8))/(4 x^6)

You might be interested in
Please answer!!!!!!!!!!!!!
Natalija [7]
I need help as well
6 0
3 years ago
Read 2 more answers
For a t distribution with degrees of freedom, find the area, or probability, in each region. a. To the right of (to 3 decimals)
ddd [48]

Answer:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

Step-by-step explanation:

The question is incomplete:

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.

a. To the right of 2.120. (Use 3 decimals.)

b. To the left of 1.337. (Use 2 decimals.)

c. To the left of -1.746. (Use 2 decimals.)

d. To the right of 2.583. (Use 2 decimals.)

e. Between -2.120 and 2.120. (Use 2 decimals.)

f. Between -1.746 and 1.746. (Use 2 decimals.)

We have a t-distribution with 16 degrees of freedom.

We can calculate the probabilities with a spreadsheet, a table or an applet.

We have to calculate the probabilities of:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

8 0
3 years ago
Emily deposited $5,000 into a savings account 6 years ago. The simple interest rate is 3%. How much money did Emily earn in inte
Rainbow [258]

Answer:

$900

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 5000 × 0.03 × 6 = 900

I = $ 900.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 3% per year

for 6 years is $ 900.00.

6 0
3 years ago
What does -16i equal?
Alisiya [41]
16i equals an amount to no other as it is majestic and formal. 16i equals nothing else than life it's self...
3 0
3 years ago
Find the distance between points P(1, 2) and Q(4, 8) to the nearest tenth. i neeeeeed help
Stella [2.4K]
The answer is
the vector PQ has (4-1, 8-2) as components, so it is vecPQ= (3, 6)
using the definition
the distance PQ= sqrt ( 3²+6²)= sqrt(9+36)=sqrt(45)
5 0
3 years ago
Other questions:
  • What is 5 1/2 divided by 3/4?<br>HELP please I need immediately!!
    15·2 answers
  • which property is illustrated by the following statement? 2(-3/9)=(-3/9)2^? Associative Property of Addition, Commutative Proper
    7·2 answers
  • A rectangular laundry hamper is 3 1⁄4 feet tall, 2 1⁄3 feet long, and 1 5⁄6 feet wide. What is the volume of the laundry hamper?
    15·1 answer
  • Please help it’s urgent !!
    10·1 answer
  • 4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stoc
    6·1 answer
  • Mr.bonds math class starts at 11:30 if the class ends at 1:00 how long is his teaching.
    12·2 answers
  • Solve for X. x^2 = 3x + 3
    14·1 answer
  • A and B are supplementary angles. If m A = (x + 15)° and m
    11·1 answer
  • What is the area of this green rectangle? | 7 in. 3 in.​
    10·2 answers
  • Riley and Rhoda plan to buy 2 bags of dog of food and a dog collar (x). Each bag of dog food costs $7 and the dog collar costs $
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!