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Fudgin [204]
3 years ago
6

What is 0.304 divided by 1.325 rounded to the nearest tenth?

Mathematics
1 answer:
Over [174]3 years ago
5 0

We have to determine the number which is rounded to the nearest tenth in the expression 0.304\div 1.325.

So, let us divide 0.304 by 1.325.

So, we get 0.304 \div 1.325 = 0.229

Now, we have to round the number 0.229 to the nearest tenth.

The tenths place is to the right of the decimal. Now, we will consider the digit at hundredths place which is '2', which is less than 5.

Therefore, the number rounded to the nearest tenth is 0.2.

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By collecting like terms we have:

6 {c}^{2}  + 2 {c}^{2}  + 2.5d - d  - 3d \\  \\ 8 {c}^{2}  - 1.5d
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6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0

Step-by-step explanation:

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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

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2 years ago
A biased coin with P({head})=0.6 is tossed three times. Let the binomial random variable X represent the number of heads obtaine
Angelina_Jolie [31]

Answer:

The sketch is carried out and the probabilities are calculated.

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