Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010

Answers

Answer 1

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres


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i need help with finding area whats the area of a 3m an 7m regtangle​

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Answer:

34

Step-by-step explanation:

Answer:

Area of rectangle =LXB

L=7m

B=3m

so 7m multiply by 3m gives 21 so the area is 21

Can someone help me with this question for my homework 2x+29+11=x+28

Answers

Sure! I'll try!

2x + 29 +11 = x + 28

First, you would put like terms ( the x ) on the same side.

2x + 29 + 11 = x + 28

-2x                 -2x

Giving you: 29 + 11 = -3x + 28

Then, you would add 29 and 11 together to get 40.

Next, you'd put the 28 on the other side.

40 = -3x + 28

-28           - 28

Giving you: 12 = -3x

12= -3x there ya go!

Ana completed 40% of her math test yesterday. She completed 12 math problems. How many math problems are on her test?

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Answer:  30

Step-by-step explanation:

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Answer:

~1.5

Step-by-step explanation:

3/2.009 = 1.493280238924838 = ~1.5

Find the value of 24/25 ÷ 4/5. Explain your reasoning

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Answer:

6/5

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

0.048

Step-by-step explanation:

Divided both numbers

Is this graph and example of sun or cos graph?

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It is a cos graphhhh

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3^4 or 3 to the 4th power
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Marking brainlest

mary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the 2nd hand sanitizer?

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Answer:

I am pretty sure it is 400ml hope this helps

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2(x+15)

Step-by-step explanation:

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Answer:

B) The probability that the arrow will point to blue is more than 1/4

Step-by-step explanation:

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Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
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0.8598
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Answers

Answer:

0.1402

Step-by-step explanation:

For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.

This means that [tex]p = 0.44[/tex]

Suppose researchers choose 7 baby elk at random to monitor.

This means that [tex]n = 7[/tex]

What is the probability that more than 4 elk in the sample to survive to adulthood?

This is:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]

[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]

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[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]

0.1402 probability that more than 4 elk in the sample to survive to adulthood.

Using the concept of binomial probability, the probability that more than 4 survive is 0.1402

Using the binomial probability formula :

[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex]

p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7

The probability that more than 4 survive can be defined thus :

[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]

Using a binomial probability calculator :

[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]

[tex] P(x > 4) = 0.1402 [/tex]

Hence, the probability that more than 4 survive is 0.1402

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Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
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Answers

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

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(The function is shifted 3 units left on the x-axis).

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Answer:

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Step-by-step explanation:

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a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

..................

Answer:

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Step-by-step explanation:

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Answers

Answer:

+

Step-by-step explanation:

b/c

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pls help!!!! i will give brainly!!!!
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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