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Sedaia [141]
3 years ago
7

The amount of a sample remaining after t days is given by the equation mc001-1.jpg, where A is the initial amount of the sample

and h is the half-life, in days, of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope has a half-life of 8 days. After 16 days, how much of the radioactive isotope remains? 2.0 mg 2.5 mg 5.7 mg 7.1 mg
Mathematics
2 answers:
vichka [17]3 years ago
8 0

Answer:

b. 2.5 mg

just took the test on edge

kherson [118]3 years ago
5 0

P(t)= A(1/2)^(t/h)

P(t)=10(1/2)^(16/8)

<em>(1/2)^(16/8) =.25</em>

P(t)=10(.25)

P(t)=2.5

Therefore the answer is B. 2.5mg.

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Step-by-step explanation:

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Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder
vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be x and y the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>

4\cdot x +5\cdot y = 32\,oz (Eq. 1)

ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>

x + 8\cdot y = 35\,oz (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

x = 35 - 8\cdot y

(Eq. 2) is (Eq. 1):

4\cdot (35-8\cdot y) + 5\cdot y = 32

140-32\cdot y +5\cdot y = 32

32\cdot y - 5\cdot y = 140-32

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x = 35 - 8\cdot (4)

x = 35 - 32

x = 3\,oz

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

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3 years ago
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3 years ago
In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a
Nady [450]

Answer:

a. 19.68 miles per gallon.

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Mean gas mileage (μ) = 23.0 mpg

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In a normal distribution, for any length X, the z-score is determined by the following expression:

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In a normal distribution, the 25th percentile  (first quartile) of a normal distribution has a corresponding z-score of z = -0.677 and the 75th percentile  has a corresponding z-score of z = 0.677

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19.68 miles per gallon.

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