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3 years ago

8-4 trigonometry (part b) hw (2nd part)

Mathematics

1 answer:

marishachu [46]3 years ago

7 0

Answer:

82+25=107 yan po ang answer

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(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in Sou

Aleksandr [31]

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that $A(5600) = 0.5A(0)$ . We use this to find r, or 1 - r, to replace in the equation. So

$A(t) = A(0)(1-r)^t$

$0.5A(0) = A(0)(1-r)^{5600}$

$(1-r)^{5600} = 0.5$

$\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}$

$1 - r = (0.5)^{\frac{1}{5600}}$

$1 - r = 0.9999$

$A(t) = A(0)(0.9999)^t$

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which $A(t) = 0.02A(0)$ . So

$A(t) = A(0)(0.9999)^t$

$0.02A(0) = A(0)(0.9999)^t$

$(0.9999)^t = 0.02$

$\log{(0.9999)^t} = \log{0.02}$

$t\log{0.9999} = \log{0.02}$

$t = \frac{\log{0.02}}{\log{0.9999}}$

$t = 39118$

The estimated age of the skull is 39118 years.

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3 years ago

An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equatio

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Solve for x and y: -2x+8 = x-2.23y+10.34

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4 years ago

Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed i

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3 years ago

Read 2 more answers

Whats the Quotient and remainder of 371 divided by 8

AURORKA [14]

Answer:

46.375

Step-by-step explanation:

371/8 = 46 (remainder 0.375)

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4 years ago

2.00÷3<br><img src="https://tex.z-dn.net/?f=2.00%20%20%20%5Cdiv%203" id="TexFormula1" title="2.00 \div 3" alt="2.00 \div 3"

Nonamiya [84]

The answer would be .67 or .66666... since it’s infinite; or 2/3 in fraction form

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4 years ago