16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.

The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.

The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.

7 0

3 years ago

Is 272 oz greater than 20 lb

Karolina [17]

We know that 1 lb = 16 oz
So lets convert the 20 lb to oz and then compare the two quantities in consistent units.
If 1 lb = 16 oz then 20 lb are equal to 20*16 oz, that is
20 lb = 20*16 oz = 320 oz
therefore,
320 oz are greater than 272 oz, or,
20 lb are greater that 272 oz

3 0

2 years ago

Find the missing side or angle.

Nina [5.8K]

Answer:

$a=4.1$

Step-by-step explanation:

The Law of Cosines is given as:

$a^2=c^2+b^2-2cb\cos A$ .

Plugging in given values, we get:

$a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}$ .

8 0

3 years ago

Simplify the following expression. Write the resulting polynomial in descending order.

Inessa [10]

Answer: 4x² + x - 2

Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²

Now let's work on the second part:

Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals

12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:

4x² + x - 2.

7 0

3 years ago