For every 3.3 km rock is buried, the pressure placed upon it increased 0.1 gigapascals. If rock undergoing metamorphosis is buried at 16 km what is the pressure placed on that rock?

Answers

Answer 1
Answer:

For every 3.3 km rock is buried, the pressure placed upon it increased 0.1 Giga pascals.

We need to find the pressure placed on that rock at 16 km.

Let us divide 16 km by 3.3 first to find the number of 0.1 Giga pascals would be there.

16/3.3.

On dividing 16 by 3.3, we get 4.8485.

In order to find the number the pressure placed on that rock, we need to multiply 0.1 by 4.8485, we get

0.48485 Giga pascals.

Therefore,  if rock undergoing metamorphosis is buried at 16 km, 0.48485 Giga pascals is the pressure placed on that rock.



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Consider the function f(x)=sin(2x)-1 and g(x)= 2 cos^2(x), both with domain [0,phi]. the line x = p intersects the graph of f in point A and the graph of g in point B. calculate the value of p for which the length of segment AB is maximal. Thank you please kindly answer this question

Answers

I think the correct value of p is 2.9 when dealing with this question.  Since AB is a vertical line between f(x) and g(x), you know you subtract the upper function by the lower function to find the distance between them.  In other words you are tying to find the x value (which can also be thought of as p) that produces the greatest value when g(x) is subtracted from f(x). The reason why g(x) is subtracted by f(x) is that g(x) is above f(x) over the domain of 0 to pi. 
I found p by making the function d(x)=g(x)-f(x).  Then I took the derivative of d(x) and found when the derivative of d(x) equals 0 since that indicates a maximum or a minimum of the function d(x).  their ended up being 2 points from 0 to pi where the derivative of d(x) equaled 0.  one at 2.9 and the other at 1.34.  The value at 1.34 is a minimum and therefore can't be the right answer.  The value at 2.9 is a maximum and is therefore the correct answer.
By the way I did all of my work on a graphing calculator which makes these types of questions a lot easier since it makes it so that you don't have to do it by hand. 
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Select the coordinates of two points on the line y = 8. (2 points) (8, 8) and (8, 0) (8, −8) and (8, 8) (0, 8) and (8, 0) (0, 8) and (8, 8)

Answers

(8, 8) and (0, 8). If the equation is y = any number, the second coordinate will always be that number. :)

I took the test and got that one wrong, the true answer is 0,8 and 8,8. It was just backwards. Your answer was just needing to be flipped, first last and last first. to get 0,8 and 8,8.

Question content area topPart 1
Write the number in 2 equivalent forms as a​ fraction, decimal, or percent.
19 over 19

Answers

The number in 2 equivalent forms as a​ fraction, decimal are  19/19 and  1.0 respectively.

Explain about the fraction and decimal?

There are just two ways to express numbers: fractions and decimals.

  • In comparison to decimals, where the whole number component and the fractional part are joined by a decimal point, such as in the case of 0.5, fractions are expressed as p/q, where q≠0.
  • Decimals and fractions show the link between parts and wholes.
  • Divide its numerator by the denominator to transform a fraction to a decimal.
  • The entire number remains to the left of a decimal when we have a mixed number.

The number given as:

19 over 19

It can be written as:

19/19 (equivalent as fraction)

19/19 = 1.0 (equivalent as decimal)

Thus,  the number in 2 equivalent forms as a​ fraction, decimal are  19/19 and  1.0 respectively.

know more about the fraction and decimal

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Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

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                      =   18 / √3  *  2/1 =  36 / √3

              x       = 36 / √3

 Rationalize the surd = 36 / √3  * (√3 / √3 ) = 36√3 / 3

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If the hypotenuse is 41 inches, and one of the legs is 40 inches, what is the length of the other leg in inches?

Answers

A.T.Q,

41² = 40²+x²

1681-1600 = x²

x = √81

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thats the right answer i just took the test its nine


Which of the choices below best describes the domain and range of this problem. Domain would be tickets sold and range would be amount of money he collected. Elijah has already sold $40 worth of tickets for a local raffle. He has 5 tickets left to sell at $5 per ticket.

Answers

Answer:

Step-by-step explanation:

Amount of ticket sold = $40

If one ticket is $5, we need to know the amount of ticket he sold that fetched Elijah $40

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Cross multiply

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x = 40/5

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If he has 5tickets left to sell at $5 per ticket, the total tickets the sold will be 8+3 = 13 tickets

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For the range:

The amount of the remaining 5tickets will be (5×$5) = $25

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Total amount he collected = $25+$40

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