answer.
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
Yuki888
12 days ago
13

Factorise 125x^3 -27y^3

Mathematics
1 answer:
Svet_ta [9.5K]12 days ago
6 0
(5x - 3y)(25x² + 15xy + 9y²) Step-by-step explanation: 125x³ - 27y³ is a difference of cubes and can be factored as a³ - b³ = (a - b)(a² + ab + b²). Given 125x³ - 27y³ = (5x)³ - (3y)³, it can be written as (5x - 3y)((5x)² + (5x)(3y) + (3y)²) = (5x - 3y)(25x² + 15xy + 9y²).
You might be interested in
- In the following diagram of triangle QRS, QR = 8 and QS = 17. Determine the value of sin Q. Show how you
PIT_PIT [9121]

Response:

SinQ=\frac{15}{17}

Step-by-step explanation:

We create the right triangle as illustrated in the attached image.

Δ QRS

Here, R represents the right angle

Given

QR = 8

QS = 17

Using the Pythagorean Theorem, we can determine RS:

QR^2+RS^2=QS^2\\8^2+RS^2=17^2\\RS^2=17^2-8^2\\RS^2=225\\RS=\sqrt{225}\\RS=15

Currently, the Sine ratio is known as:

Sin(\theta)=\frac{Opposite}{Hyotenuse}

Where \theta signifies the angle (in this case, angle Q)

The side opposite is RS (which measures 15)

While the hypotenuse is QS (which equals 17)

At this point,

SinQ=\frac{15}{17}

This is the value of SinQ.

We don't require the angle, so we will conclude here.

5 0
12 days ago
Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a
babunello [8423]

The correct response is A).


Mrs. Liang intends to survey patrons who utilize reading groups with children. If this doesn't include the entire patron base, which we believe it does not, her method of sampling will not accurately represent the overall patron population.

4 0
29 days ago
Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribut
PIT_PIT [9121]
In a normal distribution, 68% of values fall within plus or minus 1 standard deviation. This means that 32% of values exist outside this interval. Consequently, this results in 32 individuals having levels higher than 13 and 100 individuals exceeding 14 (calculated as 200*0.68/2+32).
5 0
14 days ago
Read 2 more answers
In a systematic review with a meta-analysis, researchers combine the results of each of the individual studies to create a large
zzz [9093]

Answer:

Power analysis

Step-by-step explanation:

Power analysis plays a crucial role in test structure. It enables researchers to determine the necessary sample size to identify an effect of a specified size with a certain level of confidence. Additionally, it allows us to assess the likelihood of detecting an effect of a given size with a specific degree of certainty concerning sample size limitations. If the probability is unacceptably low, it would be prudent to modify or abandon the analysis.

The primary purpose of power analysis is to guide the researcher in ascertaining the smallest sample size essential to identify the impact of a particular test at the desired level of significance.

4 0
12 days ago
Which of the equations below could be the equation of this parabola?
AnnZ [9104]

Answer:

B

Step-by-step explanation:

  • An upward-opening parabola follows the form y=ax^2
  • A downward-opening parabola takes the shape y=-ax^2
  • A leftward-opening parabola is represented by x=-ay^2
  • A rightward-opening parabola is represented by x=ay^2

The variable 'a' represents a constant

The displayed graph exhibits the form x=-ay^2

Here, 'a' equals 3, matching the solution.

Therefore, B is the right answer option.

7 0
29 days ago
Other questions:
  • Aling Luz bought yards of linen cloth which cost Php 72.00 per
    10·1 answer
  • Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mil
    11·2 answers
  • Pls help ! given: DR tangent to circle O. if m RDC= 150, then m DAC.<br> a. 75<br> b. 150<br> c. 300
    12·1 answer
  • Which statement is true about the equations –3x + 4y = 12 and x – y = 1? The system of the equations has exactly one solution at
    15·1 answer
  • Find a solution to the linear equation y=8x−32 by filling in the boxes with a valid value of x and y.
    6·2 answers
  • PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
    9·1 answer
  • Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 + 102 &lt; 122 acute
    13·2 answers
  • Miguel created the ratio table below to show how he uses the money he earns at work. How much money will he save if he earns 120
    7·2 answers
  • Monica retiled her square kitchen for $338. If the company she used charged $2 per square foot, how wide is her kitchen?
    13·2 answers
  • Thursday is ladies night at the slurp and burp bar and grill. all adult beverages are $ 1.25 for women and $ 2.50 for men. a tot
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!