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const2013 [10]
3 years ago
9

A pool was filled with 8.2 times 10 Superscript 3 gallons from one hose and 9.4 times 10 Superscript 3 gallons from another hose

.
What is the total amount of water in the pool? Express the answer in scientific notation.
1.76 times 10 Superscript 2 gallons
17.6 times 10 Superscript 2 gallons
17.6 times 10 Superscript 3 gallons
1.76 times 10 Superscript 4 gallons
Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

1.76 x 10⁴ gallons

Step-by-step explanation:

8.2 x 10³ + 9.4 x 10³ = 17.6 x 10³

Although correct 17.6 x 10³ is not in scientific notation

which is

1.76 x 10⁴ gallons

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2 years ago
A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

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Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

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Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

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