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algol [13]
3 years ago
6

A family plans to water ski at a local lake. If the temperature outside is 30 degrees C, what is the temperature in degrees F? U

se the formula F = 9/5 C + 32 ?
Help
Mathematics
2 answers:
Sphinxa [80]3 years ago
8 0
30 degrees C = 86 degrees F
frosja888 [35]3 years ago
3 0

Answer:

30°C = 86°F

Step-by-step Explanation:

Temperature outside in degree celsius = 30°C

Formula to convert degree celsius to degree fahrenheit:

\boxed{ \bf{\degree F = \dfrac{9}{5}\degree C + 32}}

By substituting value in the formula, we get:

\rm \implies \degree F = \dfrac{9}{5} \times 30 + 32 \\  \\  \rm \implies \degree F = 9 \times 6 + 32 \\  \\  \rm \implies \degree F = 54 + 32 \\  \\  \rm \implies \degree F = 86

\therefore Temperature outside in degree fahrenheit = 86°F

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Dmitriy789 [7]
8.876 to the nearest whole number
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So your answer is 9
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Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten
Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

Q(t) = Q(0)e^{-rt}

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that Q(12) = 0.5Q(0)

So

Q(t) = Q(0)e^{-rt}

0.5Q(0) = Q(0)e^{-12r}

e^{-12r} = 0.5

\ln{e^{-12r}} = \ln{0.5}

-12r = \ln{0.5}

12r = -\ln{0.5}

r = -\frac{\ln{0.5}}{12}

r = 0.05776

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

Q(t) = Q(0)e^{-rt}

50 = 200e^{-0.05776t}

e^{-0.05776t} = 0.25

\ln{e^{-0.05776t}} = \ln{0.25}

-0.05776t = \ln{0.25}

0.05776t = -\ln{0.25}

t = -\frac{\ln{0.25}}{0.05776}

t = 24

It would take 24 minutes for the element to decay to 50 grams

6 0
3 years ago
Help please thank you. will give brainliest. show all work and explain please.
alexandr402 [8]

divide the frequency of 6 by the total frequency to obtain a probability

probability =  \frac{9}{60}  =   \frac{3}{20}

(also 15%)

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183 is the total amount of how much coins he has 58 quarters and then he has 125 nickels
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