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Deffense [45]
4 years ago
14

Solve this, please prove it with steps in detail

Mathematics
1 answer:
statuscvo [17]4 years ago
5 0

Answer:

2

Step-by-step explanation:

-(1-√2) -(2-√3) + 1/√3 + 2+1/2+√5-(√5-√6)-(√6-√7)+ 1/√7+2√2+1/2√2+3

-1+√2-√2+√3-(√3-2)-(2-√5)-√5+√6-√6+√7-(√7-2√2)-(2√2-3)

-1+√2-√2+√3-√3+2-2+√5-√5+√6-√6+√7-√7+2√2-2√2+3

2

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A living room wall is 13 feet long. How far from the corner would you have to the edge of a 3ft 6in shelf for it to be centered
kolbaska11 [484]

Answer:

You start the shelf 4 ft. 9 in. from the wall.

Step-by-step explanation:

The game plan is to take the length of the shelf away from the length of the wall, and then divide the remaining part into two equal pieces.

13 ft.

-  3 ft. 6 in.

12 ft  12 in,

- 3ft    6 in

9 ft   6 in.

9 ft. 6 inches divided by 2 equals 4.5 ft, 3 in.

.5 ft * 12 inches = 6 inches

You start the shelf 4 ft. 9 in. from the wall.

5 0
3 years ago
A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. Find the age of the mammal hide to t
Naya [18.7K]

Answer: 54678 years

Step-by-step explanation:

This can be solved by the following equation:

N_{t}=N_{o}e^{-\lambda t} (1)

Where:

N_{t}=54\%=0.54 is the quantity of atoms of carbon-14 left after time t

N_{o}=1 is the initial quantity of atoms of C-14 in the mammal hide

\lambda is the rate constant for carbon-14 radioactive decay

t is the time elapsed

On the other hand, \lambda has a relation with the half life h of the C-14, which is 5730 years:

\lambda=\frac{ln(2)}{h}=\frac{ln(2)}{5730 years}=1.21(10)^{-4} years^{-1}=0.000121 years^{-1} (2)

Substituting (2) in (1):

0.54=1e^{-(0.000121 years^{-1}) t} (3)

Applying natural logarithm on both sides of the equation:

ln(0.54)=ln(1e^{-(0.000121 years^{-1}) t}) (4)

-0.616=-(0.000121 years^{-1}) t (5)

Isolating t:

t=\frac{-0.616}{-0.000121 years^{-1}} (6)

t=54677.68 years \approx 54678 years (7)  This is the age of the mammal hide

8 0
3 years ago
Quick i need it down in 10 mins!
OleMash [197]
B

For example, if x is 2 you times it by -1/2 and get -1, add that to 11, and you get your Y which is 10
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3 years ago
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Answer: Option 1

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3 years ago
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Answer:

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Step-by-step explanation:

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