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cricket20 [7]
3 years ago
11

Gia bought a pound of cheese and used 1/4 of it. She split the rest into 5 equal portions for lunch during the week. Which expre

ssion represents the fraction of the remaining cheese Gia eats for lunch each day?
Mathematics
1 answer:
Reptile [31]3 years ago
7 0
Gia already used 1/4. 3/4 divided by 5 = 3/20
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Step-by-step explanation:

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Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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6 0
1 year ago
Read 2 more answers
Identify properties used in each step in rewriting the polynomial expression below: (x + 5) + 3(a + (6x)y) Step 1: (5 + x)+3(a +
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In step 1, the commutative property of addition is used since x + 5 is just equal to 5 + x
In step 2, the associative property of addition is used since x is grouped to the last term.
In step 3, the distributive property of multiplication is used since 3 is multiplied to the terms inside the parenthesis. 
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5 0
3 years ago
Which expression has a value that is equivalent to the given expression when n = 8?
mrs_skeptik [129]

Q1.

Put the value of n = 8 to the expressions:

2n + 10 → 2(8) + 10 = 16 + 10 = 26

A: 3n → 3(8) = 24 ≠ 26

B: 2(n + 5) → 2(8 + 5) = 2(13) = 26   :)

C: n² + 5 → 8² + 5 = 64 + 5 = 69 ≠ 26

D: 10n + 2 → 10(8) + 2 = 80 + 2 = 82 ≠ 26

<h3>Answer: B: 2(n + 5)</h3>

Q2.

x = 3, y = 2

L = 5y² - 2x → L = 5(2)² - 2(3) = 5(4) - 6 = 20 - 6 = 14

R = x² + ... → R = 3² + ... = 9 + ...

A: x² + x → 9 + 3 = 12  NOT

B: x² + y → 9 + 2 = 11   NOT

C: xy → 9 + (3)(2) = 9 + 6 = 15 YES

D: 2y → 9 + (2)(2) = 9 + 4 = 13   NOT

5y² - 2x < x² + xy

L = 14, R = 15, L < R    CORRECT

<h3>Answer: C: xy</h3>

Q3.

3 + 6² = 3 + 36 = 39

A: 3³ + 12 = 27 + 12 = 39  NOT

B: 5² + 4² = 25 + 16 = 41 > 39    YES

C: 2³ + 5² + 6 = 8 + 25 + 6 = 39    NOT

D: 2³ + 14 + 17 = 8 + 14 + 17 = 39    NOT

<h3>Answer: B: 3 + 6² < 5² + 4²</h3>
6 0
3 years ago
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