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3 years ago

POSSIBLE POINTS:

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

Answer:

m + 2

Step-by-step explanation:

First minutes = $2

Additional minutes = $1 per minute

If a customer calls for m

minutes

Total charge for the call = 2 + 1(m)

= 2 + m

Also written as m + 2

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meriva

I would say 10% but I'm not really sure

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3 years ago

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kifflom [539]

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3 years ago

If a =2+√3, then (a +1/a)

cupoosta [38]

Answer:

8+4√3/2+√3

Step-by-step explanation:

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3 years ago

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kicyunya [14]

Answer:

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Step-by-step explanation:

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3 years ago

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underw

Vesna [10]

Answer:

a) m = 0.0138

b) 0.0138 minutes

c) 6.057 minutes

Step-by-step explanation:

We are given the following in the question:

The relation of dive duration (DD) to depth (D) is given by the regression equation:

$DD = 2.69 + 0.0138D$

Duration DD is measured in minutes, and depth D is in meters.

Here, DD is the dependent variable and D is the independent variable.

Comparing the equation to a linear equation, we have,

$y = mx + c$

where m is the slope of the equation and gives the rate of change and c is the y-intercept that is value of y when x is zero.

m = 0.0138

c = 2.69

a) slope of the regression line

The slope of the regression lines, m = 0.0138

b) increase in the diving duration, if the depth of the dive increases by one meter

$DD(D) = 2.69 + 0.0138D\\DD(D+1) = 2.69 + 0.0138(D+1)\\\text{Subtracting the equations}\\DD(D+1)-DD(D) = 2.69 + 0.0138(D+1) - (2.69 + 0.0138D)\\DD(D+1)-DD(D) = 0.0138(D+1-D)\\DD(D+1)-DD(D) = 0.0138$

Thus, On average, if the depth of the dive increases by one meter, 0.0138 minutes is the increase in the diving duration.

c) Duration of a typical dive to a depth of 244 meters

We put D = 244

$DD = 2.69 + 0.0138(244)\\DD = 6.057\text{ minutes}$

It takes 6.057 minutes for a dive of 244 minutes.

3 0

3 years ago