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3 years ago

Determine the heat energy received per kilogram of steam produced

1 answer:

8 0

According to steam tables, steam produced from liquid water at 100 deg. C and standard atmospheric pressure (101.3 kPa) is 2257.0 kJ/kg.K.

Note : this value varies greatly with pressure and temperature.

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Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}

Deffense [45]

Start with a line segment connecting two points, A and B. $\dfrac{DA}{BA}=3$ means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with $\dfrac{DB}{BA}=2$ , or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, $\dfrac{AB}{CB}=\dfrac12$ , so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let $d$ be the length of AB. Then the length of CD in terms of $d$ is $4d$ . We have the coordinates of C and D, and the distance between them is $\sqrt{(4-0)^2+(0-4)^2}=4\sqrt2$ . So

$4d=4\sqrt2\implies d=\sqrt2$

The slope of the line through C and D is

$\dfrac{0-4}{4-0}=-1$

and so the equation of the line through these points is

$y-4=-(x-0)\implies x+y=4$

So the coordinates of A are $(x,y)=(x,4-x)$ . The distance between C and A is $d=\sqrt2$ , so we have

$\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1$

Since A falls to the right of C (in the $x,y$ plane, not just in the sketch), we know to take the positive value $x=1$ . Then the $y$ coordinate is $y=4-1=3$ .

All this to say that A is the point (1, 3), so

$2x+y=2+3=5$

5 0

3 years ago

Solve this please math problem asap please

Gennadij [26K]

Answer:

Step-by-step explanation:

Hope this helps

4 0

2 years ago

Read 2 more answers

Kobe wants to organize his toys. His box has a width 2 2/3 feet, length 3 1/3 feet, and height 2 1/3 feet?

Tanya [424]

Answer:

Cubic feet = Length (3 1/3 feet) x Width (2 2/3 feet) x Height (2 1/3 feet)

Step-by-step explanation:

3 1/3 x 2 2/3 x 2 1/3 = approximately 20.74 cubic feet

3 0

2 years ago

Below are 36 sorted ages of an acting award winner. Find Upper P70 using the method presented in the textbook.

Leona [35]

The upper 70th percentile is the number below which 70% of the data lie.

The 70th percentile position is given by:

$P_{70}= \frac{70N}{100} = \frac{70(36)}{100} =25.2$

Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).

Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74

The 25th data in the data set is 58.

Therefore, the upper P70 is 58.
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6 0

3 years ago

Read 2 more answers

A man standing at point A walks 1 mile south, 3 miles east, 5 miles north, and 7 miles west to reach point B. The length of line

joja [24]

Answer: √32

Step-by-step explanation: so the displacement is north 4 and west 4 and it becomes a right triangle so the hypotenuse is the distance for segment AB

So Drawn out should like straight lines up,down,left,and right. So east is positive while west is negative same for North(+) and South(-)

I recommend sticking with 2 directions first. Starting with north and south right. First you go south 1 mile but then you go north 5miles in math terms

-1+5=4 or down one is one less than 5

Same for east and west. 3+-7 = -4

So we went positive 4 miles up and 4miles to the left

So (-4)^2+4^2= hypotenuse or AB segment in this case

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3 0

3 years ago