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2 years ago

What value of x makes this equation true? 0.6x -5 = 0.1x +7

Mathematics

2 answers:

IgorLugansk [536]2 years ago

6 0

I believe x = 24 if that is what you are asking.

Brainliest please?

Alex_Xolod [135]2 years ago

3 0

Value of x is 24.
Thanks

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What is the length of the arc shown in red?

professor190 [17]

Answer:

≈ 18.8 cm

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

The central angle is equal to the arc subtending it, that is 60°

arc = 2πr × $\frac{60}{360}$

= 2π × 18 × $\frac{1}{6}$

= 36π × $\frac{1}{6}$

= 6π ≈ 18.8 cm ( to 1 dec. place )

3 0

2 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

Help thank u so much thanks

Jlenok [28]

7.5, 7.058, 8.508,

8.58

Step-by-step explanation:

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2 years ago

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Dmitry_Shevchenko [17]

im pretty sure 13 hours he would spend in the hotel, 7 am to 1 am, hope this helps^^

4 0

3 years ago

Easy 10 points and brainliest :)

Snezhnost [94]

Answer:

quadrant 1

Step-by-step explanation:

both of them are positive

8 0

3 years ago

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