Select the reason why these triangles are

How much energy would a 15,000 g block of ice need to absorb in order to

Sergeu [11.5K]

Answer:

The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ

Step-by-step explanation:

The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.

The formula for the energy required to melt the ice is presented as follows;

Energy required = Mass, m × Latent heat of fusion, $L_f$ , of ice

Hence, the mass, m, of the ice = 15,000 g

Latent heat of fusion, $L_f$ , of ice = 333 J/g

Therefore;

Energy required = 15,000 g × 333 J/g = 4995000 J

Hence;

The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J

1000 J = 1 kJ

1 J = 1/1000 kJ

Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.

Which gives;

The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.

8 0

2 years ago

Select all the statements below that are true of the following graph of the polynomial.

Serggg [28]

To find:

We need to comment on the following points of the given graph:

Step by step solution:

1) Type of function (odd / even):

If the function is odd then the graph is symmetrical about the origin.

Upon observing this graph we can see that the given graph is symmetrical about the origin, So it is an odd function.

2) To check whether (x-2) is a factor of the equation:

If (x-2) is the factor of the equation, then x = 2 should be the root of the the equation

Upon observing the graph, we can see that the graph cut the x axis at x = 2, So (x-2) is the factor of the equation.

3) To check whether there are 5 zeroes or not:

If there are 5 zeroes of the graph, the graph should cut the x - axis for 5 times.

Upon observing the graph we can see that the graph cut the x - axis for 5 times, thus it has 5 zeroes.

4) To check whether there are same amount of relative minimums as relative maximums:

Upon observing the graph we can see that there are 2 relative minimums and 2 relative maximums.

So we can see that there are same amount of relative maximums and minimums.

5) To check whether there is a relative minimum at (-1,-3)

To have a relative minimum at (-1,-3) there should be a minima at (-1,-3)

Upon observing the graph we can see that there is no minima at (-1,-3), So it there is no relative minimum at (-1,-3)

From here we can say that, 1,2,3,4 are the 4 correct options for this equation.

7 0

1 year ago

I NEED HELP WITH THIS QUESTION PLEASE!!

tensa zangetsu [6.8K]

Answer:

They Sold 100 General Tickets And 250 Student Tickets.

Step-by-step explanation:

100x8= 800

250x5=1250

1250+800=2050

Hope This Helped!

8 0

3 years ago

Darla and Mary shared a cash prize in the radio 4:5. Together they won a total of $54. Make a tape diagram to determine how much

babunello [35]

She won $30. Please give Brainliest!

6 0

3 years ago

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

3 years ago