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Reptile [31]
3 years ago
11

For the half life: the half life is the solution (t) of the equation: a/2= ae^-3.392t

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0
The given equation for the half life is
\frac{a}{2} =a e^{-3.392t}

Divide each side by a to obtain
\frac{1}{2}= e^{-3.392t}

Take the natural log of each side to obtain
ln(1/2) = -3.392t
Therefore
t= \frac{ln(1/2)}{-3.392} =0.2043

Answer: t = 0.2043
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I need help with number 2 :(
Shalnov [3]

x + 12 + 19x + 8 = 180

x + 19x = 20x (combining like terms)

12 + 8 = 20 (combining like terms)

20x + 20 = 180

180 - 20 (subtracting 20 to both sides)

20x = 160

160 / 20 = 8 (dividing by 8 on both sides)

<em>x = 8</em>

CDA = x + 12

CDA = 8 + 12

<u>CDA = 20</u>

7 0
3 years ago
contestants in a dance marathon rest for the same amount of time every hour. a couple rests for 27 minutes in 6 hours. how long
julsineya [31]
In the given question, there are several important information's that needs to be noticed. based on these information's the correct answer to the question can be easily deduced. It is already known that the contestants rest for the same amount of time every hour. In 6 hours they rest for 27 minutes. The 6 hours has to be converted to minutes first.
Then 6 hours = (6 * 60) minutes
                       = 360 minutes
So we have to first determine the amount of rest each contestants take in 1 hour.
Then
In 360 minutes the couple rests for a total time = 27 minutes
In 60 minutes the couple will rest for = (27/360) * 60
                                                           = 4.5 minutes
So the couple rests for 4.5 minutes in 1 hour
Then
In 8 hours the couple will rest for = (8 * 4.5) minutes
                                                     = 36 minutes.
The couple will rest for 36 minutes in 8 hours.
6 0
3 years ago
You are curious about the amount of coffee that the giant fountain cup could
Anni [7]

Answer:

Volume = 21.232\ gallon

Step-by-step explanation:

Given

h = 8

d_{top} = 6 --- diameter at the top

d_{base} = 4 --- diameter at the base

V = (\frac{\pi h}{3}) * ((r_{base}^2 + (r_{base} * (r_{top}) + (r_{top}^2)

Required

The volume of the cup in gallons

We have:

d_{top} = 6

d_{base} = 4

Radius is calculated as:

r = 0.5 * d

So:

r_{top} = 0.5 * 6 = 3

r_{base} = 0.5 * 4 = 2

So, we have:

V = (\frac{\pi h}{3}) * ((r_{base}^2 + (r_{base} * (r_{top}) + (r_{top}^2)

V = (\frac{22/7 * 8}{3}) * (2^2 + 2 * 3 + 3^2)

V = (\frac{25.143}{3}) * (4 + 6+9)

V = 8.381 * 19

V = 159.239

The volume is

V = 159.239ft^3

We have:

7.5 gallon = 1ft^3

So:

Volume = \frac{159.239}{7.5}gallon

Volume = 21.232\ gallon

6 0
3 years ago
If sin theta=-square root 3 over 2 and pie
choli [55]

Answer:cos theta = -(1)/2; tan theta = sqrt(3)

cos theta = -(1)/2; tan theta = -1

cos theta = (sqrt(3))/4; tan theta = -2

cos theta = 1/2; tan theta = sqrt(3)

cos theta = 4/3

Step-by-step explanation:

7 0
3 years ago
Can someone help me with this? Will Mark brainliest.
WARRIOR [948]

The answer should be diameter.

7 0
3 years ago
Read 2 more answers
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