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
nataly862011 [7]
2 years ago
13

Two students have partially simplified the same expression. Audrey's work: ( x3y−2 22x−5y3 ) 3 = ( x8y−5 22 ) 3 = x24y−15 26 Dav

id's work: ( x3y−2 22x−5y3 ) 3 = x9y−6 26x−15y9
Mathematics
2 answers:
aksik [14]2 years ago
5 0

Answer:

-Aubrey first applied division of like bases by subtracting the exponents.

-Next David will apply the quotient of powers.

-Aubrey's work is correct .

-The correct simplified answer is x^24/64y^15

Crank2 years ago
4 0

Answer:

<h3>-<u>Aubrey first applied division of like bases by subtracting the exponents.</u></h3><h3>-<u>Next David will apply the quotient of powers.</u></h3><h3><u>-Aubrey's work is correct .</u></h3><h3><u>-The correct simplified answer is x^24/64y^15</u></h3>
You might be interested in
Pls,pls,pls,help me I will give lots of pound 100+ points
Bond [772]

Answer:

  1. 3log(10) -2log(5) ≈ 1.60206
  2. no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
  3. no; the given "property" is nonsense

Step-by-step explanation:

<h3>1.</h3>

The given expression expression can be simplified to ...

  3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)

  = log(1000/25) = log(40) . . . . ≠ log(5)

  ≈ 1.60206

Or, it can be evaluated directly:

  = 3(1) -2(0.69897) = 3 -1.39794

  = 1.60206

__

<h3>2.</h3>

The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...

  ln(x) = log(x)/log(e) ≈ 2.302585·log(x)

__

<h3>3.</h3>

The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

  \log(a)\log(b)=\log(a^{\log(b)})=\log(b^{\log(a)})

Numerical evaluation of Mr. Kim's expression would prove him wrong.

  log(3)log(4) = (0.47712)(0.60206) = 0.28726

  log(7) = 0.84510

  0.28726 ≠ 0.84510

  log(3)log(4) ≠ log(7)

4 0
2 years ago
Initially a ship and a submarine are stationary at sea level, positioned 1.78km apart. The submarine then manoeuvres to position
poizon [28]
I’m assuming ‘dives further’ means to go directly down

the angle of elevation of the ship from the submarine is equal to the angle of depression of the submarine from the ship, if we assume the sea level is perpendicular to ‘directly down’.

let both of these angles to be = $ when the submarine is at A and ¥ when the submarine is at B (excuse the lack of easily accessible variables as keys)

then this become a simple trig problem:

A)

Let O be the position of of the ship, and C be the original position of the submarine.

therefore, not considering direction

|OC| = 1.78km = 1780m

|CA| = 45m

these are the adjacent and opposite sides of a right angled triangle.

But tan($) = opp/adj = |CA|/|OC| = 45/1780

therefore $ = arctan(45/1780) which is roughly 1.45 degrees,

B)

similarly, noting that |CB| = |CA| + |AB| = 45 + 62 = 107m


tan(¥) = 107/1780

¥ = arctan(107/1780) which is roughly 3.44 degrees






4 0
2 years ago
Three less than the product of 6 and a number is 45. What is the number?
strojnjashka [21]

Answer: 8

Step-by-step explanation:

6x-3=45

6x=48

x=8

5 0
2 years ago
GUYS HELP I GOT TOO MUCH TO DO CAN YOU DO ME A SOLID
MrRissso [65]

Answer:

2 radical 13

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Ten minus One-third of a number is 4
zloy xaker [14]
Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is y=2/3x-4 graphed
    6·1 answer
  • Which of the following information is contained in the right column of a two-column proof?
    15·1 answer
  • lewis has a bucket with a 5-gallon capacity. lewis puts 12 pints of soapy water in the bucket to wash his car. How many gallons
    5·1 answer
  • A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers"
    9·1 answer
  • What is 1/9 multiplied by 7 as a mixed number
    9·1 answer
  • Which property is illustrated by the statement 4+9+12 = 4+9+12
    5·1 answer
  • Please help me need it in 5 mins
    7·1 answer
  • THE COFFICENT OF y in term -y /3 is
    14·2 answers
  • 5,637 in two other forms
    13·1 answer
  • If there are 32 boys and 24 girls in a room, fill out all the possible ratios of boys to girls​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!