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1 year ago

Just 46 x 78 answer please graph

Mathematics

1 answer:

GREYUIT [131]1 year ago

8 0

Answer:

Step-by-step explanation:

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What does 0.001085 equal to g?

irakobra [83]

Convert 0.001085 kg into g.

1 kg = 1000 g

0.001085 kg * 1000 g/kg = 1.085 g

4 0

3 years ago

an 18-foot wire is to be cut so that the longer piece is 5 times longer than the shorter piece. find the length of each peice

gtnhenbr [62]

Answer:

The longer piece is 15 feet long and the shorter piece is 3 feet long.

Step-by-step explanation:

Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:

x + y = 18

x = 5y

Solve by substitution by substituting 5y as x into the first equation:

x + y = 18

5y + y = 18

Solve for y:

6y = 18

y = 3

So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:

3(5)

= 15

So, the longer piece is 15 feet long.

The longer piece is 15 feet long and the shorter piece is 3 feet long.

7 0

3 years ago

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 PRONTO IM DUMB

SOVA2 [1]

Hope this helps solve your question