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amm1812
2 years ago
11

Suppose a railroad rail is 4 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w

ould the center of the rail rise above the​ ground?
Mathematics
1 answer:
dsp732 years ago
3 0
Ddjdudjdjdjddjdjdjdc
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What is the solution to the equation 1^6 x = 2 ?
Dvinal [7]

1^6 is just 1 so 1x=2, you can just take away the one because it is a given that if there is an x there is a 1, so the answer is x=2

6 0
3 years ago
Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

= \dfrac{1}{40(1-2x^5)^4} +C

Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

5 0
3 years ago
Which is 144 written as a power of a number
s2008m [1.1K]
12^2 What is it's square root or basically you could divide it so it's 12 to the power of 2 or 12^2
5 0
3 years ago
Factor 3a^2+6ab-24b^2
Monica [59]
(3a²+6ab-24²)= 3a(a+2b)x(4b)
7 0
2 years ago
Pls help, question on picture, will do brainliest if right<br> no links!!!!!
Flura [38]
Sin = opposite/hypothenuse
Given opposite = 16
Hypothenuse = ?
Use Pythagorean theorem to find hypothenuse

12^2 + 16^2 = h^2
144 + 256 = h^2
h^2 = 400, h = 20

You know hypothenuse is 20
Opposite/hypothenuse

Solution: 16/20
Simplify if you need to (4/5)
5 0
3 years ago
Read 2 more answers
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