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3 years ago

Which of the following is a model that shows the flow of energy through an

Mathematics

1 answer:

Irina-Kira [14]3 years ago

7 0

A food web
It shows the flow of an energy iban ecosystem

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Write an equation in a point-slope form that passes through the given point with the given slope (3, 5), m = -4 and-1, 8), m = ½

4vir4ik [10]

Answer:

$\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

$m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)$

$m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)$

8 0

3 years ago

A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$

$W=450\pi \int_{0}^{8}dy(8-y)$

$W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)$

$W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})$

$W=450\pi(8*8 -\frac{8^{2}}{2})$

$W=450\pi(64 -\frac{64}{2})$

Therefore, the work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

I hope it helps you!

6 0

3 years ago

Give an example of tangents in the real world that have not been presented in this lesson.

german

Answer:

Hey! Sorry im too late lol but here-

Step-by-step explanation:

Example of tangent in the real world-

When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.

How you know the tangent and radius are perpendicular:

The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.

Hope this helped :))

7 0

3 years ago

Identify the interval(s) on which the function y = x^2 + 12x + 27 is positive.

mixas84 [53]

Answer:

Step-by-step explanation:

b x 1

6 0

3 years ago

Who want crown things

ivolga24 [154]

Answer:

meeee plzzzzzzz even thow i have no idea whta that ios

Step-by-step explanation:

3 0

3 years ago