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1 year ago

What is the missing value in the table below?

Mathematics

1 answer:

castortr0y [4]1 year ago

6 0

The value of the function at x = 5, will be 343. Then the correct option is A.

<h3>What is an arithmetic sequence?</h3>

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

We know that the first term is 1/7 and the common ratio is 7.

Then the equation will be

$\rm y = \dfrac{1}{7} \ \cdot \ (7)^{x - 1}$

Then the value of the function at x = 5, will be

y = (1/7) · (7)⁵⁻¹

y = (1/7) · (7)⁴

y = 7³

y = 343

Thus, the value of the function at x = 5, will be 343.

Then the correct option is A.

More about the arithmetic sequence link is given below.

brainly.com/question/12373434

#SPJ1

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The amount of money in Nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are t

Elis [28]

Recursive formula is one way of solving an arithmetic sequence. It contains the initial term of a sequence and the implementing rule that serve as a pattern in finding the next terms. In the problem given, the 6th term is provided, therefore we can solve for the initial term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after deducting 50 (which supposedly is added).
<span>
Therefore, we perform the given formula: A (n) = <span>1.025(an-1) + 50
</span></span>a(5) =1.025 (235.62) + 50 = 291.51

a(4) = 1.025 (181.09) + 50 = 235.62

a(3) = 1.025 (127.89) + 50 = 181.09

a(2) = 1.025 (75.99) + 50 = 127.89

a(1) = 1.025 (25.36) + 50 = 75.99

a(n) = 25.36

The terms before a(6) are indicated above, since a(6) is already given.

So, the correct answer is <span>A. $25.36, $75.99.</span>

3 0

2 years ago

If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy

Anna71 [15]

Answer:

$1290$ calories

Step-by-step explanation:

Given: The racer moves at $13.1$ miles per hour expends energy at a rate of $645$ calories per hour.

To find: Energy in calories, required to complete a marathon race $26.2$ miles at this pace.

Solution: We have,

The racer moves at $13.1$ miles per hour.

The racer expends energy at a rate of $645$ calories per hour.

So, energy expended while moving $13.1$ miles $=645$ calories.

Now, energy expended while moving $1$ mile $=\frac{645}{13.1}$ calories.

So, energy expended while moving $26.2$ miles $=\frac{645}{13.1}\times 26.2=645\times 2=1290$ calories.

Hence, $1290$ calories of energy is required to complete a marathon race $26.2$ miles at this pace.

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3 years ago

Sam is a waiter at a local restaurant where he earns wages of $7 per hour. Sam figures that he also earns about $5 in tips for e

mote1985 [20]

<span>C. E(n)=5n+42

5 times the number of people + 7 times 6
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frosja888 [35]

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