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2 years ago

5

The level of water in a bathtub rises 5 inches in 2 hours. What represents the rate of change of the water level with respect to

time?

2 answers:

nika2105 [10]2 years ago

8 0

You're looking for displacement meaning the change in the water level but also according to that specific time.
5/2= 2.5

loris [4]2 years ago

6 0

Increase of water level at the rate of 2.5 inches per hour.

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A coin is biased to show 35% heads and 65% tails. the coin is tissed twice. what is the probability that the coin turns up heads

bekas [8.4K]

The required probability is:
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3 years ago

The product of 6g2 and -2g3 is equals to

ryzh [129]

Answer:

We conclude that:

$\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5$

Step-by-step explanation:

Given

6g²

-2g³

The product of 6g² and -2g³ can be determined by multiplying each other such as:

$(6g^2\:)\times \:(-2g^3)$

Apply the rule: a(-b) = -ab

$\left(6g^2\:\right)\times \left(-2g^3\right)=-6g^2\times \:\:2g^3$

Apply exponent rule: $a^b\times \:a^c=a^{b+c}$

$=-6g^{2+3}\times \:2$

$=-6g^5\times \:2$

$=-12g^5$

Therefore, we conclude that:

$\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5$

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2 years ago

Are the area of a square and the length of its side directly proportional quantities?

Angelina_Jolie [31]

Answer:

Yes they are directly proportional quantities.

Step-by-step explanation:

We find the area of a square by;

A = length squared or (L)² , where 'L' stands for length and 'A' stands for area.

So Area = L²

Assume the length is a units and increase the length by 2 units

The initial area before increasing the length is a²

After increasing the length, the area becomes: (a + 2)² = a² + 4a + 4

Now we subtract the initial area from the final area and get;

(a² + 4a + 4) - a² = 4a + 4

So the new area increases by 4a + 4 units.

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We denote this proportionality as;

A ∝ L

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2 years ago

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lozanna [386]

So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).

Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.

Therefore, h(x) = x^3

You can check this by working it backwards.

Start with: h(x) = x^3
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2 years ago

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3 years ago