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Dominik [7]
3 years ago
9

The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in tempera

ture globally Levels of carbon dioxide gas are on the rise Levels of methane gas are on the rise Glacial ice is melting Antarctic and Artic sea ice is melting Which statement best explains the significance of this empirical evidence?
a
It provides a hypothesis for the climate of the past.
b
It provides data for science journals and textbooks.
c
It supports the scientific explanation for global warming.
d
It predicts future weather patterns.
Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

C. It supports the scientific explanation for global warming.

Explanation:

The listed pieces of empirical evidence support the scientific explanation for global warming. Global warming is the long-term heating of Earth's climate, and the increase in levels of carbon dioxide and methane is the reason why glacial ice in the Antarctic and Arctic sea is melting.

These pieces of evidence don't deal with the past of the future. They tell us what is going on right now. Based on them, we could make an assumption about what is going to happen in the future, but there are no predictions here.

Also, this data can be used for science journals and textbooks, but that purpose is not expressed here.

This leaves us with option C as the correct one.

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Simplify the radical expression. Please explain how you got your answer.<br><br> √25/4
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√25/4=5/2 because 5/2 times 5/2 equal 25/4. Hope it help!
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3 years ago
F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

(c) No inflection point; concave up on (0, ∞)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

           2x² - x  -1 = 0

     ( x - 1) (2x + 1) = 0

         x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½  = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

6 0
3 years ago
The Ray family went out to dinner The price of the meal was $38.95 The sales tax was 7% of the price of the meal. The tip was 18
Andrews [41]

Answer:

$49.18

Step-by-step explanation:

Dinner cost $38.95 before tax and tip are included.  

Directions say to ADD 7% tip first so,

38.95 multiplied by 7%= 2.7265, Round up to $2.73

ADD $38.95 and $2.73 tax= $41.68

Now, multiply $41.68 by 18% to find the tip amount

$41.68 * 18%= 7.5024, Round to $7.50

ADD $41.68 and $7.50 to get answer: $49.18

4 0
3 years ago
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