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Leviafan [203]
2 years ago
8

B(t)=50(1.4)^t

Mathematics
1 answer:
olasank [31]2 years ago
8 0
B (t) = 50 (1.4) ^ t
 What is the y-intercept of the function? 
 The intersection with the y-axis of the function you find when x = 0.
 In this case we have:
 For t = 0:
 B (0) = 50 (1.4) ^ 0
 B (0) = 50 * (1)
 B (0) = 50
 Answer: 
 the y-intercept of the function is:
 B (0) = 50
 What does this mean in the context of the problem?
 You must place the complete statement to answer exactly.
 However, in any problem of exponential type, it means the initial quantity of something.
 If we refer to the increase in population over time, then the intersection with the y-axis is the initial population.
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Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

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