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Vesnalui [34]
4 years ago
11

One atomic mass unit is 0.0000000000000000000000166 what is the weight in scientific notation?

Mathematics
2 answers:
jeka57 [31]4 years ago
4 0
1.7 x 10 ^-23

Or maybe 1.6 x 10^-23

(The -23 is how many 0’s there are).



Ulleksa [173]4 years ago
3 0

Answer:

One atomic mass unit (AMU) in scientific notation is 1.66 x 10^26

Step-by-step explanation:

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3 years ago
Which equation is represented by the graph below?
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Answer:c

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3 years ago
Read 2 more answers
A given field mouse population satisfies the differential equation dp dt = 0.5p − 410 where p is the number of mice and t is the
ohaa [14]

Answer:

a) t = 2 *ln(\frac{82}{5}) =5.595

b) t = 2 *ln(-\frac{820}{p_0 -820})

c) p_0 = 820-\frac{820}{e^6}

Step-by-step explanation:

For this case we have the following differential equation:

\frac{dp}{dt}=\frac{1}{2} (p-820)

And if we rewrite the expression we got:

\frac{dp}{p-820}= \frac{1}{2} dt

If we integrate both sides we have:

ln|P-820|= \frac{1}{2}t +c

Using exponential on both sides we got:

P= 820 + P_o e^{1/2t}

Part a

For this case we know that p(0) = 770 so we have this:

770 = 820 + P_o e^0

P_o = -50

So then our model would be given by:

P(t) = -50e^{1/2t} +820

And if we want to find at which time the population would be extinct we have:

0=-50 e^{1/2 t} +820

\frac{820}{50} = e^{1/2 t}

Using natural log on both sides we got:

ln(\frac{82}{5}) = \frac{1}{2}t

And solving for t we got:

t = 2 *ln(\frac{82}{5}) =5.595

Part b

For this case we know that p(0) = p0 so we have this:

p_0 = 820 + P_o e^0

P_o = p_0 -820

So then our model would be given by:

P(t) = (p_o -820)e^{1/2t} +820

And if we want to find at which time the population would be extinct we have:

0=(p_o -820)e^{1/2 t} +820

-\frac{820}{p_0 -820} = e^{1/2 t}

Using natural log on both sides we got:

ln(-\frac{820}{p_0 -820}) = \frac{1}{2}t

And solving for t we got:

t = 2 *ln(-\frac{820}{p_0 -820})

Part c

For this case we want to find the initial population if we know that the population become extinct in 1 year = 12 months. Using the equation founded on part b we got:

12 = 2 *ln(\frac{820}{820-p_0})

6 = ln (\frac{820}{820-p_0})

Using exponentials we got:

e^6 = \frac{820}{820-p_0}

(820-p_0) e^6 = 820

820-p_0 = \frac{820}{e^6}

p_0 = 820-\frac{820}{e^6}

8 0
4 years ago
3
Dafna11 [192]

The approximate length of rail that needs to be replaced is 7.1 ft

<h3>Length of arc</h3>

Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where

  • Ф = central angle of rail section = 27° and
  • D = diameter of circular pool = 30 ft

<h3>Approximate length of rail</h3>

So, substituting the values of the variables into the equation, we have

L = Ф/360° × πD

L = 27°/360° × π × 30 ft

L = 3/40 × π × 30 ft

L = 3/4 × π × 3 ft

L = 9/4 × π  ft

L = 2.25 × π  ft

L = 7.07 ft

L ≅ 7.1 ft

So, the approximate length of rail that needs to be replaced is 7.1 ft

Learn more about length of an arc here:

brainly.com/question/8402454

5 0
2 years ago
Find the sum of the arithmetic series given ai = 45, an = 85, and n = 5.
seraphim [82]

Answer:

C. 325.

Step-by-step explanation:

The last term a5 = 85

a1 = 45

Sum of n terms = n/2 (a1 + l)

So here we have n = 5, a1 = 45 and the last term l = 85

= (5/2)(45 + 85)

= 5/2 * 130

= 325.

5 0
3 years ago
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