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4 years ago

How to calculate thermal energy

1 answer:

6 0

Heat, a measure of thermal energy, can be transferred from one point to another. Heat flows from the point of higher temperature to one of lower temperature. The heat content, Q, of an object depends upon its specific heat, c, and its mass, m. The Heat Transfer is the measurement of the thermal energy transferred when an object having a defined specific heat and mass undergoes a defined temperature change.

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Write the expression as a product of expressions.

scoray [572]

Answer:

$a^2(ab^{3}-b^{2}-c^{2})$

Step-by-step explanation:

Given

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Required

Factor

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Factor out $a^2$

$a^2(ab^{3}-b^{2}-c^{2})$

The expression cannot be further factored

8 0

3 years ago

1.What is the length of the altitude of an equilateral triangle with side lengths of 34 inches?

sweet [91]

Answer:

Step-by-step explanation:

Remark

Question One

It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.

Givens

altitude = h

a = 34/2 = 17

hypotenuse = 34

Formula

a^2 + h^2 = c^2

Solution

17^2 + h^2 = 34^2

289 + h^2 = 1156

h^2 +289 =1156

h^2 = 1156 - 289

h^2 = 867

sqrt(h^2) = sqrt(867)

h = 29.444

==============

Question Two

Givens

b = 10 feet

c = ?

height = h = 16

Formula

c^2 = b^2 + h^2

Solution

c^2 = 10^2 + 16^2

c^2 = 100 + 256

c^2 = 356

sqrt(c^2) = sqrt(356)

c = 18.87

7 0

3 years ago

Write in slope intercept form and equation of the line that passes thru the given points

VMariaS [17]

ANSWER:
y= 11/3x-7

REASONING:
Because if you do the slip equation m=y2-y1 divided by x2-x1 you get 11/3 or -11/-3 which is equal to 11/3 which is your slop and since the y intercept is already one of your points (0,-7) then your formula would be y=11/3x-7

8 0

3 years ago

This is the answer key, not my work. For question 7, how do you get the -3 and 2 to multiply the equations by

zysi [14]

The -3 and 2 are just the numbers you multiply by to get the variable 's' have opposite values in the 2 equations so that when you add the 2 equations, they would cancel out

5 0

3 years ago

The function f(x) is graphed on the coordinate plane. What is f(-4)?

kati45 [8]

F(x) = 2x+1
f(-4) = 2(-4)+1
= -8+1
= -7

i hope it helps

7 0

3 years ago