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scoray [572]
3 years ago
11

Which expression is equivalent to (x^6 y^8) ^3 over x^2 y^2 ?

Mathematics
2 answers:
DiKsa [7]3 years ago
7 0
The answer would be D. because when the power of 3 is distributed to the x^6 and y^8, the simplified version would be x^18 y^24 because exponents are multiplied when outside of the parentheses. When that is put over x^2 y^2, you have to subtract the exponents to their matching variables. x^18 - x^2 = x^16 and y^24 - y^2 = y^22. So the final answer would be x^16 y^22.
Alekssandra [29.7K]3 years ago
7 0
The answer is D. x^16 y^22. Hope this helped!
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Basile [38]
Either 1, or 2, smart ppl help!
3 0
3 years ago
PLEASE NEED HELP
Firdavs [7]

The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.

A few fundamental principles apply to density curves:

  • A density curve's area beneath it represents probability.
  • A density curve's area under it equals one.
  • Base x height in a uniform density curve equals one.
  • The likelihood that x = a will never occur.
  • The likelihood that x < a is the same as that of x ≤ a.

Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.

Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.

Learn more about density curves here-

brainly.com/question/18345488

#SPJ10

5 0
2 years ago
Read 2 more answers
1) AU (C - B) =
torisob [31]

Answer:

A \cup (C-B) = (A \cup C) \cap  (A \cup B^c)\\A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \,\,\, \text{Here you use double inclusion.}\\A \cup B \cup C =  A \cup (B \cup C)\\B^c \cap (A-C)  = (B^c - C) \cap A\\(B \cap C) - A = (B-A)\cap C\\C-(A\cup B) =  (C - A )\cap B\\A^c \cap (B \cap C) = ( A^c \cap B) \cap C

Step-by-step explanation:

A \cup (C-B) = A \cup (C \cap B^c) = (A \cup C) \cap  (A \cup B^c)\\A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \,\,\, \text{Here you use double inclusion.}\\A \cup B \cup C = (A \cup B ) \cup C  = A \cup (B \cup C)\\B^c \cap (A-C)  = B^c \cap (A \cap C^c) =  (B^c \cap C^c) \cap A =  (B^c - C) \cap A\\(B \cap C) - A = (B \cap C) \cap A^c  = (B \cap C) \cap A^c = (B \cap A^c)\cap C = (B-A)\cap C\\C-(A\cup B) = C \cap (A\cup B)^c = C \cap (A^c \cap B^c ) = (C  \cap A^c )\cap B^c = (C - A )\cap B\\

A^c \cap (B \cap C) = ( A^c \cap B) \cap C

3 0
3 years ago
Need help please with these questions
Korolek [52]

Answer:

33) $8440

34) $67,964.62

Step-by-step explanation:

33) The interest on 1 for 270 days is ...

... I = Prt = 1×0.09×(270/360) = 0.0675

so the proceeds from a loan with a face value of 1 will be

... 1 - 0.0675 = 0.9325

We want to find the face value of a loan with proceeds of $7870.30, so we need to solve the equation ...

... $7870.30 = P×0.9325

... P = $7870.30/0.9325 = $8440

34) The discount is computed from ...

... I = Prt = 70,000×0.063×(24/52) ≈ 2035.38

Then the amount Smith will pay for the T-bill is ...

... $70,000 -2035.38 = $67,964.62

7 0
3 years ago
Volume question
ioda

Answer:

The answer is 61.4 L

Step-by-step explanation:

Using the formula of cuboid, V = l×b×h, to find the total amount of water contained :

l = 120cm

b = 40cm

h = 15cm

V = 15×120×40

= 72 000cm³

= 72 L

It is given that she uses 10.6L for shower. Then calculate the remaining water by substracting 10.6L from the original amount of water :

remaining = 72 - 10.6

= 61.4 L

8 0
3 years ago
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