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3 years ago

Convert 10°C to Fahrenheit. 45°F 65°F 50°F 42°F

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

4 0

Answer:

C. 50°F

Step-by-step explanation:

(10°C × 9/5) + 32 = 50°F

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Element X decays radioactively with a half life of 12 minutes. If there are 160

Salsk061 [2.6K]

Answer:

It would take 75.8 minutes for the element to decay to 2 grams.

Step-by-step explanation:

The number of grams of element x, after t minutes, is given by the following equation:

$X(t) = X(0)(1-r)^{t}$

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

There are 160 grams of Element X

This means that X(0) = 160.

$X(t) = X(0)(1-r)^{t}$

$X(t) = 160(1-r)^{t}$

Half life of 12 minutes.

This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So

$X(t) = 160(1-r)^{t}$

$80 = 160(1-r)^{12}$

$(1 - r)^{12} = 0.5$

$\sqrt[12]{(1 - r)^{12}} = \sqrt[12]{0.5}$

$1 - r = 0.9438$

$X(t) = 160(1-r)^{t}$

$X(t) = 160(0.9438)^{t}$

How long would it take for the element to decay to 2 grams?

This is t for which X(t) = 2. So

$X(t) = 160(0.9438)^{t}$

$2 = 160(0.9438)^{t}$

$(0.9438)^{t} = \frac{2}{160}$

$\log{(0.9438)^{t}} = \log{\frac{2}{160}}$

$t\log{0.9438} = \log{\frac{2}{160}}$

$t = \frac{\log{\frac{2}{160}}}{\log{0.9438}}$

$t = 75.8$

It would take 75.8 minutes for the element to decay to 2 grams.

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3 years ago

a person can pay $27 for a membership to the science museum and then go to the stamp for just $1 per visit what is the maximum n

Brut [27]

Answer:

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Step-by-step explanation:

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LekaFEV [45]

Answer:

The Variables are X & Y

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and the Constants are -23 and 42

Step-by-step explanation:

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3 years ago

3/4 divided by 2 1/4p

svetlana [45]

(3/4) : (2 1/4)p = 0

(3/4) : ((2 + 1/4))•p = 0

1.333333p = 0

p = 0

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WITCHER [35]

Answer:

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Step-by-step explanation:

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