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Svetach [21]
3 years ago
8

 a farmer can cut 1/3 acre of hay every 25 minutes.

Mathematics
2 answers:
xxMikexx [17]3 years ago
7 0

Answer:

1  1/4

Step-by-step explanation:

stop cheating on an fsa

Readme [11.4K]3 years ago
3 0

Answer:

1 1/4

Step-by-step explanation:

cuz i know :)

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The figure shown has a parallelogram on top and a rectangle below what is the total area of the figure
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Where is the figure ?

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Hence, find the smallest possible value of z such that 160 x z is a perfect square​
vodka [1.7K]

Answer:

10.

Step-by-step explanation:

I am assuming that z is a whole number.

160z = x^2

z = x^2/ 160.

160 = 2*2*2*2*2*5

To make this a perfect square we multiply by 2 * 5

- this gives us 1600.

z = 1600/160 = 10.

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
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