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3 years ago

PLEASE HELP ME!! An eagle eats 6 pounds of food every 8 days.How long does it take the eagle to eat 90 pounds of food

Mathematics

2 answers:

Phoenix [80]3 years ago

8 0

Answer:

15 days

Step-by-step explanation:

8 days equals 48 pounds of foods. 48 times 2 will be 96 and that equals 16 days. Subtract 6 from 96 and you get 90 but you have to subtract a day as well.

Alex3 years ago

3 0

Answer:

120 days

Step-by-step explanation:

6/8 = 0.75 meaning the eagle eats 0.75 pounds of food every day.

90/0.75=120 days

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Evaluate the expression 5+2n^2 when 2=3

DiKsa [7]

Answer:

Step-by-step explanation:

With n being 3, 3 would multiply by 2 (and become 6), and since it's going to be squared, your new equation will be "5+6^2". 6 squared is 36, and 5 being added to 36 results in 41. Therefore, your answer is 41.

4 0

3 years ago

The current population of Fun City is 21000 people. If the population of the city will double every 51 years then the population

Arisa [49]

Answer:

The population of Fun City after 171 years would be 214563.

Step-by-step explanation:

The statement depicts a case of exponential growth, whose model is described below:

$p(t) = p_{o}\cdot r^{\frac{t}{T} }$ (1)

Where:

$p_{o}$ - Initial population, no unit.

$p(t)$ - Current population, no unit.

$r$ - Growth rate, no unit.

$t$ - Time, in years.

$T$ - Growth period, in years.

If we know that $p_{o} = 21000$ , $r = 2$ , $t = 171\,yr$ and $T = 51\,yr$ , then the population of the city after 171 years is:

$p(t) = 21000\cdot 2^{\frac{171}{51} }$

$p(t) = 214563$

The population of Fun City after 171 years would be 214563.

6 0

3 years ago

For the Sequence 2,6,10,14. Write the recursive rule, and a explicit rule

Evgen [1.6K]

Answer:

The recursive formula for given series is: $a_{n} = a_{n-1} + 4$

The explicit formula is given by: $a_{n} = 10 + 5(n-1)$

Step-by-step explanation:

Determining the Recursive Formula:

As the given sequence is: 2,6,10,14

The difference d can be computed by taking the difference between the consecutive terms of the mentioned sequence.

d = 6 -2 = 10 - 6 = 14 - 10 = 4

It is observed that the difference between the consecutive terms remains constant) with common difference d = 4
We know that if the difference between the consecutive terms remains constant), then the series is in arithmetic series. The recursive formula is: $a_{n} = a_{n-1} + d$

So, the recursive formula for given series is: $a_{n} = a_{n-1} + 4$

Determining the Explicit Rule or Formula:

An explicit formula defines the nth term of the sequence, where n being the term's location. In other words, a sequence can be defined as a formula in terms of n. So,

First determine the sequence whether the sequence is in arithmetic. As we know that 2,6,10,14 is in arithmetic.
Then find the common difference. Here, d = 6 -2 = 10 - 6 = 14 - 10 = 4
Establishing an explicit formula by analyzing the pattern. i.e. adding first term to the product of d (common difference) and one less than the term number

Hence, the explicit formula is given by:

$a_{n} = a_{1} + d (n-1)$

where,

aₙ is the nth term of the sequence

n is the term number

a₁ is the first term

d is the common difference

As the given sequence is: 2,6,10,14

a₁ = first term = 2

d = common difference = 6 - 2 = 4

Using explicit formula:

$a_{n} = a_{1} + d (n-1)$

$a_{n} = 10 + 5(n-1)$

$a_{n} = 10 + 5n-5$

$a_{n} = 5n+ 5$

Keywords: recursive formula, explicit formula, sequence

Learn more about recursive formula brainly.com/question/11673288

#learnwithBrainly

4 0

4 years ago

a certain game consists of rolling a single fair die and pays off as follows: $5 for a 6, $2 for a 5, $1 for a 4, and no payoff

lorasvet [3.4K]

E(winnings) = (5 x (1/6)) + (2 x (1/6) + (1 x (1/6)) = 5/6 + 2/6 + 1/6 = 8/6 = $1.33

7 0

4 years ago

What is the slope between the points (3,5) and (-2,-4)? A) 9/5 B) 1 C) 5/9 D) -5/9

Monica [59]

The answer is A.) 9/5

6 0

3 years ago