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3 years ago

What does 345 cm equal to in meters?

Mathematics

2 answers:

Citrus2011 [14]3 years ago

7 0

3.45 meters would be the answer

aivan3 [116]3 years ago

6 0

It equals to 3.45 meters

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Write 55 in standard form.<br> 3125<br> 3235<br> 5 x 5 x 5 x 5 x 5<br> 5 x 5 x 5 x 5

Ivenika [448]

9514 1404 393

Answer:

3125

Step-by-step explanation:

Your calculator can help with this.

5⁵ = 5×5×5×5×5 = 3125

4 0

3 years ago

Integral of 5xsqrt1-x^4

laila [671]

$\displaystyle\int5x\sqrt{1-x^4}\,\mathrm dx$

Take $x=\sqrt y$ , so that $y^2=x^4$ and $\dfrac{\mathrm dy}{2\sqrt y}=\mathrm dx$ . Note that this assumes $x\ge0$ and so requires $y\ge0$ .

$\displaystyle5\int\sqrt y\sqrt{1-y^2}\dfrac{\mathrm dy}{2\sqrt y}=\frac52\int\sqrt{1-y^2}\,\mathrm dy$

Now take $y=\sin z$ , so that $z=\arcsin y$ . Note that for this invertibility condition to hold, we require that $-\dfrac\pi2\le z\le\dfrac\pi2$ , which means $-1\le y\le1$ . But since we already fixed $y\ge0$ with the previous substitution, we thus have $0\le y\le1$ , which in turn restricts us to $0\le z\le\dfrac\pi2$ . So with this substitution, we have $\mathrm dy=\cos z\,\mathrm dz$ , which gives

$\displaystyle\frac52\int\sqrt{1-\sin^2z}\cos z\,\mathrm dz$
$=\displaystyle\frac52\int\sqrt{\cos^2z}\cos z\,\mathrm dz$
$=\displaystyle\frac52\int|\cos z|\cos z\,\mathrm dz$

Now over the interval $0$ , we have $\cos z>0$ , which means $|\cos z|=\cos z$ , and so the integral is equivalent to

$\displaystyle\frac52\int\cos^2z\,\mathrm dz=\frac54\int(1+\cos2z)\,\mathrm dz$
$=\dfrac54z+\dfrac58\sin2z+C$
$=\dfrac54z+\dfrac54\sin z\cos z+C$
$=\dfrac54\arcsin y+\dfrac54\sin(\arcsin y)\cos(\arcsin y)+C$
$=\dfrac54\arcsin y+\dfrac54y\sqrt{1-y^2}+C$
$=\dfrac54\arcsin(x^2)+\dfrac54x^2\sqrt{1-x^4}+C$

8 0

3 years ago

Which choice is the appropriate simplified form and restriction for the variable 2x-3x^2/5x^3

REY [17]

You have to divide the numerator by the denominator and exclude the possibility that the initial denominator be zero.

When you divide [2x - 3x^2] / 5x^3 you simply must simplify an x and obtain:

[2 - 3x] / 5x^2, and x ≠ 0.

So the answer is the option d. but you must use ≠ instead of =.

3 0

4 years ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

Veseljchak [2.6K]

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

8 0

2 years ago

A machine that bottles iced tea is set so that every 8th bottle gets a green label and every 6th bottle gets a pink cap. What nu

siniylev [52]

Answer:

Step-by-step explanation:

To solve this you must find the LCM of 8 and 6

Which is 24

3 0

3 years ago