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Mila [183]
3 years ago
9

7 x (3 + 2) = (7 x 3) + (7 x 2) What property

Mathematics
2 answers:
qaws [65]3 years ago
7 0

Answer:

distributive

Step-by-step explanation:

7×(3+2)=(7×3)+(7×2)

21+14=21+14

35=35

krek1111 [17]3 years ago
4 0

Answer: Associative property.

Step-by-step explanation:

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2 years ago
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio
JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

Initial =1\ million

6\ years\ later = 500,000

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t = Time

A = Amount left in the well

So:

\frac{dA}{dt} = kA

Where k represents the constant of proportionality

\frac{dA}{dt} = kA

Multiply both sides by dt/A

\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}

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Integrate both sides

\int\ {\frac{dA}{A}  = \int\ {k\ dt}

ln\ A = kt + lnC

Make A, the subject

A = Ce^{kt}

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So, we have:

A = Ce^{kt}

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1000000 = Ce^{0}

1000000 = C*1

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A = 1000000e^{kt}

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t = 6\ A = 500000

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500000= 1000000e^{k*6}

Divide both sides by 1000000

0.5= e^{k*6}

Take natural logarithm (ln) of both sides

ln(0.5) = ln(e^{k*6})

ln(0.5) = k*6

Solve for k

k = \frac{ln(0.5)}{6}

k = \frac{-0.693}{6}

k = -0.1155

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\frac{dA}{dt} = kA

Where

\frac{dA}{dt} = Rate

So, when

A = 600000

The rate is:

\frac{dA}{dt} = -0.1155 * 600000

\frac{dA}{dt} = -69300

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