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iren [92.7K]
3 years ago
11

Diego is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock. Looking at his map, Diego estim

ates his ship's location and marks it with an \text{X}Xstart text, X, end text shown below at (-2,-4)(−2,−4)left parenthesis, minus, 2, comma, minus, 4, right parenthesis. 4 points on a coordinate plane. The point labeled, "Island A," is at -3, 1. The point labeled, "Island B," is at 3, -6. The point labeled, "Island C," is at -6, -7. The point labeled, "X," is at -2, 4. Graph units are in kilometers. What is the distance from Diego's ship to the closest island? Round the final answer to the nearest tenth of a kilometer. Do not round intermediate calculations. \text{ km} km
Mathematics
2 answers:
olga55 [171]3 years ago
4 0

Answer: 5

Step-by-step explanation: Khan Academy

madam [21]3 years ago
3 0

Answer:

5 kilometers

Step-by-step explanation:

Just use distance formula for each island to his boat

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Researchers wanted to see which species of lizard (A, B, or C) is most likely to survive a bacterial infection. So they infected
Slav-nsk [51]

Answer:

A) attached below

B) 0.61

C) 0.47

Step-by-step explanation:

Given data:

Total number of lizards infected = 38

Of the 15 species B lizards 40% survived

For specie C one more survived than died

Out of the 24 lizards that died 1/3 were species A

<u>A) contingency table </u>

attached below

<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>

P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61

<u>C) determine the probability that specie C lizard did not study </u>

P ( not surviving  | C ) = 7 / 15 = 0.466 ≈ 0.47

7 0
3 years ago
Describe the following graph. Use terms
timama [110]
I think it’s non-linear
3 0
3 years ago
As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is expected to rise dramatical
dybincka [34]

Answer:

Step-by-step explanation:

Given that the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be

N(t) = 0.00525t^2 +0.075t+4.7,(0 ≤ t ≤ 4)

where N is in millions where year 2010 corresponds to t=0

For 2020, 10 years lapsed hence t= 1

a) N(1) = 0.00525(1)^2 + 0.075(1) + 4.7\\=4.78025

So 4.78025 million people

b) Growth = N(1)-n(0) =0.08025 million

c) N(4) = 5.084

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4 0
4 years ago
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
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Vsevolod [243]

Answer:

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Step-by-step explanation:

Liberation Theology :

A religious movement particularly among Roman Catholic ministry in Latin America that joins political theory normally of a Marxist direction with a religious philosophy of salvation as freedom from shamefulness

Liberation theology philosophy looks to decipher the activities of the Catholic Church and the lessons of Jesus Christ from the point of view of poor people and burdened.

5 0
3 years ago
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