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Dvinal [7]
3 years ago
11

A study on the population of wolves is being done in a county to determine how the number of wolves has changed over time. The p

opulation of wolves is being modeled by the function P(t) = 80(0.98)t, where t is the number of years since 2009. What is an appropriate domain for this function if the study will end in the year 2020 and began in year 2000? Fill in the blanks so that the appropriate domain is described.≤ t ≤
In what year is the population of wolves equal to 80?
Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

<h2>The year is 2010.</h2>

Step-by-step explanation:

The population of wolves is given by P(t) = 80(0.98)t.

The study has began in the year of 2000 and will end in 2020.

The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.

Hence, the maximum value of t is 11.

The domain is 0 \leq t \leq 11.

The population will be 80, that is P(t) = 80.

Hence, 0.98t = 1, or, t = \frac{1}{0.98} = \frac{100}{98}  = \frac{50}{49} ≅1.

In (2009 + 1) = 2010, the population of wolves will be 80.

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Leni [432]

Answer:

Andrew walks more steps than Sarah.

Step-by-step explanation:

The question is incomplete. The complete question is :

Andrew and Sarah are tracking the number of steps they walk. Andrew records that he can walk 6000 steps in 50 minutes. Sarah writes the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andrew and Sarah each walk for a total of 5 hours. Who walks more steps?

Solution:

Given:

Andrew walks 6000 steps in 50 minutes.

Number of steps Sarah walks is given by the equation :

y=118x

where y is the number of steps and x is the number of minutes she walks.

Finding the number of steps each walks in 5 hours.

Total number of minutes in 5 hours = 5\times 60 = 300\ min

For Andrew:

Using unitary method:

If in 50 minutes Andrew walks = 6000 steps.

In 1 minute he will walk = \frac{6000}{50} = 120 steps

In 300 minutes he will walk = 120\times 300 = 36000 steps

Thus, Andrew will walk 36,000 steps in 5 hours.

For Sarah:

We will plugin x=300 in the equation and solve for y.

We have:

y=118(300)

∴ y=35400

Thus, Sarah will walk 35,400 steps in 5 hours.

Therefore, Andrew walks more steps than Sarah as 36,000>35,400.

5 0
3 years ago
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

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3 years ago
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Ilia_Sergeevich [38]

Answer:

∠U = 56.4

Step-by-step explanation:

We can use trigonometric functions to solve this

Here we are given the opposite side of ∠U as well as the adjacent side.

When dealing with the adjacent and opposite side we use sin

Sin = Opposite side / Adjacent side

Opp = 5 and adj = 6

So

Sin(U) = 5/6

* take the inverse sine of both sides *

arc(sin)(u) = u

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∠U = 56.4

5 0
2 years ago
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Answer:

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Answer:

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8 0
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