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3 years ago

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Mathematics

1 answer:

balandron [24]3 years ago

8 0

Answer:

10%

Step-by-step explanation:

Choices: 2,3,4,5,6 for a total of 5 cards

odd numbers: 3,5

P (odd number) = odd options/ total

=2/5

Keeping the odd card ( lets say 3)

Choices: 2,3,4,6 for a total of 4 cards

odd numbers: 3

P (odd number) = odd options/ total

1/4

P(odd, no replacement, odd) = 2/5 * 1/4 = 2/20 = 1/10

Changing to a percent = 1/10 *10/10 = 10/100 = 10%

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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.

6 0

3 years ago

Please help me asap!!

andreev551 [17]

Answer:

I believe it's 36

Step-by-step explanation:

Also is this a test lol?

7 0

3 years ago

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Equation: y=15x+60

Ugo [173]

M is 15x and b is 60. hope I helped

8 0

3 years ago

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17.5% commission 1,500

snow_tiger [21]

Answer:

i think you have to take the

17.5

------ × 1500

100

Step-by-step explanation:

i guess.

3 0

3 years ago

7p-(3p+4) = -2(2p-1)+10 Please answer!!!!!!!

Zanzabum

P=2
Work:
7p−(3p+4)=−2(2p−1)+107p−(3p+4)=−2(2p−1)+107p+−1(3p+4)=−2(2p−1)+107p+−1(3p)+(−1)(4)=−2(2p−1)+107p+−3p+−4=−2(2p−1)+107p+−3p+−4=(−2)(2p)+(−2)(−1)+107p+−3p+−4=−4p+2+10(7p+−3p)+(−4)=(−4p)+(2+10)4p+−4=−4p+124p−4=−4p+124p−4+4p=−4p+12+4p8p−4=128p−4+4=12+48p=168p8‌=‌168‌p=2

Hope this helps:)

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4 years ago

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