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Alex777 [14]
2 years ago
15

A 30-ounce jar of peanut butter costs $6.00. A 40-ounce jar costs $7.20. Which jar of peanut

Mathematics
1 answer:
kobusy [5.1K]2 years ago
4 0

Answer:

The 40-ounce jar of peanut butter is cheaper per ounce.

Step-by-step explanation:

30-ounce jar:

6÷30=0.2

40-ounce jar:

7.2÷40=0.18

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Using the Pythagorean theorem a^2 +b^2 = c^2, where a and b are the sides of a triangle and c is the hypotenuse.

BA and AC are sides and BC is the hypotenuse.

we have 23^2 + b^2 = 45^2

529 + b^2 = 2025

b^2 = 2025 - 529

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In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo
Dmitry_Shevchenko [17]

Answer:

a_{10} = \frac{10}{65536}

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

a_{3} - a_{2} = a_{2} - a_{1}

We have that:

a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}

a_{3} - a_{2} = a_{2} - a_{1}

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This is not an arithmetic sequence.

This sequence is geometric if:

\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}

\frac{\frac{5}[2}}{10} = \frac{10}{40}

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\frac{1}{4} = \frac{1}{4}

This is a geometric sequence, in which:

The first term is 40, so a_{1} = 40

The common ratio is \frac{1}{4}, so r = \frac{1}{4}.

We have that:

a_{n} = a_{1}*r^{n-1}

The 10th term is a_{10}. So:

a_{10} = a_{1}*r^{9}

a_{10} = 40*(\frac{1}{4})^{9}

a_{10} = \frac{40}{262144}

Simplifying by 4, we have:

a_{10} = \frac{10}{65536}

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Dominio:
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Rango:
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Step-by-step explanation:

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