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frez [133]
3 years ago
5

Factorise with factor theorem: 8y^3-125x^3

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

\\  \\  =  >  8 {y}^{3}  - 125 {x}^{3}  \\  \\  =  >  {(2y)}^{3}  -  {(5x)}^{3}  \\  \\  =  > (2y - 5x)(( {2y)}^{2}  + 2x \times 5y + ( {5x)}^{2} ) \\  \\  =  > (2y - 5x)(4 {y}^{2}  + 10xy + 25 {y}^{2} ) \:  \:  \:  \:  \:  \:  \: (ans)
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Answer:

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Step-by-step explanation:

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3 years ago
The body weight of a healthy 3 month-old colt should be about μ = 60 kg. (Source: The Merck Veterinary Manual, a standard refere
tatuchka [14]

Answer:

a

  The null hypothesis will be  H_o : \mu = 60 \ kg

b

  The alternative hypothesis will be  H_a : \mu <  60

c

  The alternative hypothesis will be  H_a : \mu >  60

d

  The alternative hypothesis will be  H_a : \mu \ne   60

e

  left; right; both

Step-by-step explanation:

Considering question a

    The body weight of the colt is  \mu = 60 \ kg

    The null hypothesis will be  H_o : \mu = 60 \ kg

Considering question b

    Given that we want to test the claim that the average weight of a wild Nevada colt is less than 60 kg , then

The alternative hypothesis will be  H_a : \mu <  60

Considering question c

       Given that we want to test the claim that the average weight of such a wild colt is greater than 60 kg , then

The alternative hypothesis will be  H_a : \mu >  60

Considering question d

   Given that we want to test the claim that the average weight of such a wild colt is different from 60 kg , then

The alternative hypothesis will be  H_a : \mu \ne   60

Considering question e

   For question b  , the corresponding p-value will be on the left because the average weight is less than 60 kg

   For question c  , the corresponding p-value will be on the right  because the average weight is more than 60 kg

   For question d  , the corresponding p-value will be on both  because the average weight is different from  60 kg

5 0
2 years ago
If BD and EG are parallel lines and mBCF = 50°, what is mEFH?<br> Look at this diagram:
Burka [1]
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Hope this helped

4 0
3 years ago
find the digit in units place in the expansion of the following: 1) 2¹⁹⁶⁷ 2) 3¹⁹⁶⁹ 3)4¹⁹⁷⁰ 4) 4¹⁹⁷¹ 5) 5⁵⁵⁵ 6) 6¹⁰⁰⁰ 7) 7²⁰⁰⁷ 8)
diamong [38]

Answer:

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Step-by-step explanation:

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3 years ago
Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor
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Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

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In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

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3 years ago
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