In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

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Work out 2/3 + 3/4? <br> Work out 5 times 3/4? <br> PLEASE HELP ASAP!!!

zlopas [31]

2/3 + 3/4
For this, you want to cross multiply
To do this, you do the first numerator (2) multiplied by the second denominator (4), and the first denominator (3) multiplied by the second numerator (3).If you draw lines between the two numbers you are multiplying, a 'cross' is made. Add these two numbers together to make the new numerator. For the denominator, multiply the bottom two numbers.
Next simplify the new fraction (Follow attached image)

5 x 3/4
This can be written as 5 x 3 / 4
5 x 3 = 15
15/4 = 3 3/4 or 3.75

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3 years ago

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Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

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2 years ago

50 POINTS FOR BRAINLIEST (also $45 prize given on a cash sending app)

kompoz [17]

Answer:

The square root will be about 4 because the formula for square root is √(x^2) = x

Step-by-step explanation:

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What is the answer to 2c-4d

wel