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Ira Lisetskai [31]
2 years ago
11

Need help fast, will give brainliest!​

Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

Correct answer is A

Step-by-step explanation:

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The bottom of the aquarium is 6 ft by 2.5 ft.The height is 4 ft.Many square feet of glass was used to build the sides and the bo
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It's looking for square feet so it wasn't the area. The area is o
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Use strong mathematical induction to prove the existence part of the unique factorization of integers theorem (Theorem 4.4.5). I
valentina_108 [34]

Answer:

Lets say that P(n) is true if n is a prime or a product of prime numbers. We want to show that P(n) is true for all n > 1.

The base case is n=2. P(2) is true because 2 is prime.

Now lets use the inductive hypothesis. Lets take a number n > 2, and we will assume that P(k) is true for any integer k such that 1 < k < n. We want to show that P(n) is true. We may assume that n is not prime, otherwise, P(n) would be trivially true. Since n is not prime, there exist positive integers a,b greater than 1 such that a*b = n. Note that 1 < a < n and 1 < b < n, thus P(a) and P(b) are true. Therefore there exists primes p1, ...., pj and pj+1, ..., pl such that

p1*p2*...*pj = a

pj+1*pj+2*...*pl = b

As a result

n = a*b = (p1*......*pj)*(pj+1*....*pl) = p1*....*pj*....pl

Since we could write n as a product of primes, then P(n) is also true. For strong induction, we conclude than P(n) is true for all integers greater than 1.

5 0
3 years ago
Please helppp! I don’t know the answer
disa [49]

Answer:

250x+140=y

Step-by-step explanation:

so amount earned for 10 hours of work is 250

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3 years ago
Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p
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Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
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Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

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3 years ago
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Write in point-slope form an equation of the line passing through (-4, 10) and (-6, 15). Show your work.
Neporo4naja [7]
This is how it is done. Let me know if you have questions...

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3 years ago
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