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Nady [450]
3 years ago
15

A box stall is a square or rectangular enclosure that can house one or more animals. Derek wants to construct a square box stall

for each horse that is to be housed in a stable. He wants all of the box stalls to have the same legth on a side. Derek has a total area of 20,250 square feet in which to construct the box stalls. The equation for the side length x of a box stall in terms of the number of horses n, the stable wants to house is x =/. If the box stall is 9 feet long on a side. The stables can house how many horses
Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Your answer is 550000!!!


Hope this helped!!!XD


Also can I get brainiest?XD


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If f(x)f(x) is an exponential function where f(-0.5)=27f(−0.5)=27 and f(1.5)=21f(1.5)=21, then find the value of f(0.5)f(0.5), t
vovikov84 [41]

Given:

f(x) is an exponential function.

f(-0.5)=27

f(1.5)=21

To find:

The value of f(0.5), to the nearest hundredth.

Solution:

The general exponential function is

f(x)=ab^x

For, x=-0.5,

f(-0.5)=ab^{-0.5}

27=ab^{-0.5}          ...(i)

For, x=1.5,

f(1.5)=ab^{1.5}

21=ab^{1.5}          ...(ii)

Divide (ii) by (i).

\dfrac{21}{27}=\dfrac{ab^{1.5}}{ab^{-0.5}}

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Taking square root on both sides, we get

\dfrac{\sqrt{7}}{3}=b

b\approx 0.882

Putting b=0.882 in (i), we get

27=a(0.882)^{-0.5}

27=a(1.0648)

\dfrac{27}{1.0648}=a

a\approx 25.357

Now, the required function is

f(x)=25.357(0.882)^x

Putting x=0.5, we get

f(0.5)=25.357(0.882)^{0.5}

f(0.5)=23.81399

f(0.5)\approx 23.81

Therefore, the value of f(0.5) is 23.81.

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3 years ago
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