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Sladkaya [172]
2 years ago
14

for small changes in temperature, the formula for the expansion of a metal rod under a change in temperature is: g-l=al(t-t), wh

ere g is the length of the object at temperature t, and l is the length at temperature t, and a is a constant which depends on the type of metal. a rod is 135 cm long at 115 degrees f and made of a metal with a=10^-3. write an equation giving the length of this rod at temperature t(because a=10^-3 is very small, give an exact answer: do not round expand multiplied numerical products to get rounded decimals).
Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
3 0

Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

  • A temperature is a unit used to represent voguishness or coolness on any of a number of scales, including Fahrenheit and Celsius.
  • According to temperature, heat energy will naturally move from a hotter( body with an advanced temperature) to a colder( body with a lower temperature)( one at a lower temperature).

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

Learn more about temperature here: brainly.com/question/24746268

#SPJ9

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Answer:

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Step-by-step explanation:

Let x = number of 2-pointers he scored.

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The first equation is

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The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.

The second equation is

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We have a system of 2 equations.

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2x + 3y = 22

We will use the substitution method.

Solve the first equation for x.

x = 9 - y

Now substitute 9 - y in for x in the second equation.

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Now we substitute 4 for y in the first equation and solve for x.

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Check:

5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.

Now we check the number of points.

5 * 2 + 4 * 3 = 10 + 12 = 22

22 points is the correct total.

Our answer is correct.

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