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alexandr402 [8]
3 years ago
8

The temperature decreased 3 degrees per hour from 9pm to 2am. Write and evaluate an expression to represent the overall change i

n temperature
Mathematics
1 answer:
vazorg [7]3 years ago
8 0

It may help to look at an actual thermometer. It will look something

like this:

|

+ 40

|

+ 30

|

+ 20

|

+ 10

| ^

+ 0 / \

| |

+ -10 | warmer (increasing temperature)

| |

+ -20 ----+

| |

+ -30 | colder (decreasing temperature)

| |

+ -40 \ /

| V

Suppose it was -20 degrees an hour ago, and now it has gone down 10

degrees. As it goes down, it will get farther away from 0 (since it

is below zero to start with), so it will decrease from -20 degrees

to -30 degrees! The number part (the 30, which is the "absolute

value" of the temperature) increases because we are going away from

zero while the temperature itself decreases (getting colder). If the

temperature changed to -10, it would be warmer, not colder; that would

be an increase in temperature.

Does that make sense?

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The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm.
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The base area of the prism is calculated as -

Area of prism = Length X Width

We are given that, length = 6 cm and width = 8 cm

<u>Thus, area of prism = 6 cm X 8 cm = 48 cm²</u>

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We are given height as = 7 cm

So, volume of prism will be = 6 cm X 8 cm X 7 cm

<u>Volume of prism will be = 336 cm³</u>

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4 years ago
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Answer:

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Step-by-step explanation:

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4 years ago
A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candl
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<span>To find out how much wax is needed for the candles we need to figure out the volume of each candle. We know radius r=0.5 inches and height h=3 inches of the smallest candle and we know that the middle candle has r2=2r=1 inch and h2=2h=6 inches and the biggest candle has r3=3r=1.5 inches and h3=3h=9 inches. So now we need the formula for volume: V=pi*r^2*h and we simply plug in the numbers. First candle is V=3.14*(0.5^2)*3=2.355 inches^3. Middle candle: V2=3.14*(1^2)*6=18.84 inches^3. Biggest candle: V3=3.14*(1.5^2)*9=63.585 inches^3. So overall wax needed to create all three candles is V+V2+V3=2.355 inches^3 + 18.84 inches^3 + 63.585 inches^3=84.78 inches^3.</span>
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What does "rationalizing" the denominator mean?
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Answer:

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Step-by-step explanation:

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For example if we want to rationalize the denominator in; 3/√2

We will multiply the numerator and the denominator by √2 to get rid of the radical in the denominator which is the square root sign.

Thus;

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This gives;

(3√2)2

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3 years ago
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Answer:

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