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Feliz [49]
3 years ago
15

a 14 gram sample of substance used to preserve fruit and vegetables has a k- value of 0.1095 find substance half-life in days ro

und to the nearest tenth
Mathematics
1 answer:
belka [17]3 years ago
6 0

<u>Answer:</u>

t = 6.3 days

<u>Step-by-step explanation:</u>

The amount of initial mass is irrelevant when finding the half-life since the remaining mass is always 1/2 of the initial mass.

\frac { 1 } { 2 } = e ^ { ( - 0 . 1 0 9 2 t ) }

Taking l n on both the sides to get:

ln \frac { 1 } { 2 } = -0.1092t

t = \frac { l n \frac { 1 } { 2 } } { -0.01092}

t = 6.3475

t = 6.3 days

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PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??
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Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

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3 years ago
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