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Doss [256]
3 years ago
6

A Canadian football field is 110 yd long and an American football field is 100 yd

Mathematics
1 answer:
GalinKa [24]3 years ago
7 0
The Canadian field is 30 feet longer (1 yard = 3 feet]
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A sample of a radioactive isotope had an initial mass of 360 mg in the year 1998 and
RUDIKE [14]

Answer:

193 mg

Step-by-step explanation:

Exponential decay formula:

  • A_t = A_0e^r^t
  • where Aₜ = mass at time t, A₀ = mass at time 0,  r = decay constant (rate), t = time  

Our known variables are:

  • 1998 to the year 2004 is a total of t = 6 years.
  • The sample of radioactive isotope has an initial mass of A₀ = 360 mg at time 0 and a mass of Aₜ = 270 mg at time t.

Let's solve for the decay constant of this sample.

  • 270=360e^-^r^(^6^)
  • 270=360e^-^6^r
  • \frac{3}{4} =e^-^6^r
  • \text{ln} (\frac{3}{4} )= \text{ln}(e^-^6^r)
  • \text{ln} (\frac{3}{4} )=-6r
  • r=-\frac{\text{ln}\frac{3}{4} }{6}
  • r=0.04794701

Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.

Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.

  • A_t=270e^-^(^0^.^0^4^7^9^4^8^0^1^)^(^7^)
  • A_t=270e^-^0^.^3^3^5^6^2^9^0^7
  • A_t=193.01982213

The expected mass of the sample in the year 2011 would be 193 mg.

3 0
3 years ago
A storage container is shaped like a rectangular prism. The volume of the container is 1360 cubic feet. The area of the base of
Nadusha1986 [10]

Answer:

8.5 feet

Step-by-step explanation:

To find the volume of a rectangular prism, you must multiply the area of the base by the height. Conversely, if you wanted to find the height of the prism, you could simply divide the volume by the area of the base. 1360/160=8.5 feet. Hope this helps!

4 0
3 years ago
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In a paragraph or two, describe how power was divided between the central government and
jek_recluse [69]

Answer:

Federalism is a mixed or compound mode of government that combines a general government (the central or "federal" government) with regional governments (provincial, state, cantonal, territorial or other sub-unit governments) in a single political system.

6 0
3 years ago
A gallery owner purchased a very old painting for $3000. The painting sells at a 325% increase in price. What is the retail pric
Tasya [4]
It might be 1500 Mybe I’m not sure
4 0
3 years ago
In total, how many students are there that play football?
ExtremeBDS [4]

Answer:

total of 25 students playing football

Step-by-step explanation:

only Football = 2

Football/Baseball = 14

Football/Tennis = 3

All = 6

Add them all: 2 + 14 + 3 + 6

5 0
2 years ago
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