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Setler [38]
3 years ago
5

Factor the following expression and include a second degree expression as a factor. 16x3 + 54y6

Mathematics
1 answer:
Len [333]3 years ago
5 0
This problem asks you to make use of the form for factoring the sum of cubes.

a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})\\\\16x^{3}+54y^{6}=2((2x)^{3}+(3y^{2})^{3})\\\\=2(2x+3y^{2})(4x^{2}-6xy^{2}+9y^{4})
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A university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors. The professor is planning
azamat

Answer:

6.9%.

Step-by-step explanation:

Given that a university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors, and the professor is planning to select two of the students for a demonstration, where the first student will be selected at random, and then the second student will be selected at random from the remaining students, to determine what is the probability that the first student selected is a history major and the second student is a nursing major the following calculations must be performed:

26 = 100

9 = X

9 x 100/26 = X

900/26 = X

34.61 = X

25 = 100

5 = X

500/25 = X

20 = X

0.2 x 0.3461 = X

0.069 = X

Thus, the probability that the first student selected is a history major and the second student is a nursing major is 6.9%.

8 0
3 years ago
Read 2 more answers
Line GH contains points G(–2, 6) and H(5, –3). Given the points, what is the slope of the line ?.
IRINA_888 [86]
The slope is m = rise/run
m = ( -3 - 6 ) / ( 5 - ( -2 )) = -9 / ( 5 + 2 ) = - 9/7
Answer: the slope of the line is -9/7.
6 0
3 years ago
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Make up your own “which one doesn’t belong” example:
Stolb23 [73]
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6 0
4 years ago
Which expressions are a factor of -48xyz – 24xy + 40xyz?
11Alexandr11 [23.1K]
The answer to your question is D B and G.
4 0
3 years ago
You have an allowance to spend on lunch this week. You will spend the same amount each day,and you get to keep whatever is left
Naily [24]

Answer:

The total allowance is $18.5, and the amount spent daily is $3.2

Step-by-step explanation:

let T and x represent the total allowance and the amount spent daily respectively.

It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days

T - 2x =12.10       (equation 1)

It was started that the amount remaining after 5 days is $2.50  , which also implies the person has spend an equal amount for 5 days

T - 5x =2.5       (equation 2)

subtract equation 2 from 1

T - 2x -( T - 5x ) = 12.10 -2.5

T - 2x -T + 5x = 9.6

3x =9.6

Divide both side by 3

x = 9.6/3 =3.2

from equation 1

T - 2x =12.10  

T = 12.10 + 2x = 12.10 + 2*3.2

= 12.10 + 6.4 = 18.5

5 0
3 years ago
Read 2 more answers
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