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3 years ago

I need help with this...

Mathematics

1 answer:

Korvikt [17]3 years ago

7 0

Answer:

b=5.76or 576

c=2.4 or 0.024

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Vladimir [108]

Number 15- The total is 350
A discount of 70% off
The answer : 245

4 0

3 years ago

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Evaluate the indefinite integral. integar x4/1 + x^10 dx

ivann1987 [24]

Answer:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c$

Step-by-step explanation:

Given

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Required

Integrate

We have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

Let

$u = x^5$

Differentiate

$\frac{du}{dx} = 5x^4$

Make dx the subject

$dx = \frac{du}{5x^4}$

So, we have:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx$

$\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}$

$\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du$

Express x^(10) as x^(5*2)

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du$

Rewrite as:

$\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du$

Recall that: $u = x^5$

$\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du$

Integrate

$\frac{1}{5} * \arctan(u) + c$

Substitute: $u = x^5$

$\frac{1}{5} * \arctan(x^5) + c$

Hence:

$\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c$

7 0

3 years ago

Where do the graphs of the two functions below intersect?

olga nikolaevna [1]

4x-3=9x-13
10=5x
2=x
So these functions intersect when x=2.

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3 years ago

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Find X and Y. can someone please help me with this question, thank you

Arturiano [62]

3x + 120° + x + 120° = 360°

4x + 240° = 360°

4x = 120°

x = 30°

y = 1/2 (3x - x)

y = 1/2 (90° - 30°)

y = 1/2 × 60°

y = 30°

3 0

3 years ago

Plz help with this one toooo

Yuki888 [10]

Answer:y.5

Step-by-step explanation:5 times 3 = 15/2 = 7.5

6 0

3 years ago