Let speed of water leaking out = x/h
water left in the tank after 24h=20-(speedxtime)
=20-(24x)
=14
20-24x=14
24x=6
x=1/4
Therefore, answer is (a).
Answer:
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Step-by-step explanation:
Answer:
A)

B)

C)

Step-by-step explanation:
We are given the function:

A)
Given that h(1) = 20, we want to find <em>k</em>.
h(1) = 20 means that <em>h</em>(x) = 20 when <em>x</em> = 1. Substitute:

Simplify:

Anything raised to zero (except for zero) is one. Therefore:

B)
Given that h(1) = 40, we want to find 2<em>k</em> + 1.
Likewise, this means that <em>h</em>(x) = 40 when <em>x</em> = 1. Substitute:

Simplify:

We can take the natural log of both sides:

By definition, ln(e) = 1. Hence:

Therefore:

C)
Given that h(1) = 10, we want to find <em>k</em> - 3.
Again, this meas that <em>h</em>(x) = 10 when <em>x</em> = 1. Substitute:

Simplfy:

Take the natural log of both sides:

Therefore:

Therefore:

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The vertex B is at (1, 5), then vertex B' is at (-2, 11).
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
The vertex A is at (-1, 2), then vertex A' is at,
A' = (-1-3, 2+6) = (-4, 8)
The vertex B is at (1, 5), then vertex B' is at,
B' = (1-3, 5+6) = (-2, 11)
Learn more about Triangle:
brainly.com/question/2773823
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