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Snowcat [4.5K]
3 years ago
12

Name two points on a line that has a slope of 5 over 8.

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
Y=mx+b ....formula of slope

m refers to slope and b is intercept,,,so this become equation of y.
now answer,
y=5/8x+b 
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Read 2 more answers
It is estimated that world reserves of oil currently stand at 2625
seraphim [82]

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  \displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

4 0
2 years ago
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