asinus

what is (-64)^4/3

\(\large \frac{(-64)^4}{3}=\frac{16777216}{3}=5592405\frac{1}{3}\)

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2x3.142x7 Give answer in terms of pi

\(2\pi R \ is \ the \ circumference \ C \ of \ the \ circle.\)

\(C=2\times \pi\times R=2\times \pi \times 7=43.9822971503\)

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what is 2 1/2 divided by 2

\(\large 2\frac{1}{2}/2=\frac{\frac{5}{2}}{2}=\frac{5}{2\times2}=\frac{5}{4}=1\frac{1}{4}\) 

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0=3/4(0)+8

\(O=\frac{3}{4}(O)+8\)      side change with sign change

\(O-\frac{3}{4}O=8\)          subtract

\(\frac{O}{4}=8\)                      multiplicate 4 on both sides

\(O=32\)

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Was ist die Lösungsmenge von 12:(10x-4)=14:(6x-16)

\(\frac{12}{10x-4}=\frac{14}{6x-16}\)    Über Kreuz multiplizieren

\(72x-192=140x-56\)     Seiten- mit Vorzeichenwechsel

\(-68x=136\)    beidseitig dividieren durch -68

\(x=-2\)

\(\mathbb L\)  { x = - 2 }

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(3x2y3)(2xy2)2

------------------

      -2x2 y

\(\large \frac{(3x\times2y^3)(2x y^2 )^2}{-2x^2y}\)

\(=\large \frac{(3x\times2y^3)(4x^2 y^4 )}{-2x^2y}\) 

\(=-12xy^6\)

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I am working through some astronomy homework, and the answer they have is 2x10^11for this question (90/1^3)/(3.30*10^(23)/(9.2*10^(10)^3) Can you explain why?

\( Please \ put \ the \ missing \ bracket. \ Then \ it \ can \ go \ on.\)

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wurzel aus 1143

\(\sqrt{1143}=33,8082830088\)

\(\pm\sqrt{1143}=\pm\ 33,8082830088\)

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Was ist 1-(1/3) ?

\(\large1-\frac{1}{3}=\frac{3}{3}-\frac{1}{3}=\frac{2}{3}\)

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Korrektur

\(h\ '(x)=4x^3-2x=0\)

\(x(4x^2-2)=0\)      x₁ = 0 entfällt

\(x^2=\frac{1}{2}\)

\(x_{1;2}=\pm \frac{1}{\sqrt 2}\)

Den Punkt Q gibt es im 1. und im 4.Quadranten.

x₂ = -0,7071 entfällt.

\(y_Q=x_Q^2\)

\(D=x_Q^2+(1-y_Q)^2\)

\(D=x_Q^2+(1-x_Q^2)^2\)

\(D=\frac{1}{2}+(1-\frac{1}{2})^2 \)

\(D=\frac{1}{2}+\frac{1}{4}=\frac{3}{4}\)

\(d=+\sqrt{\frac{3}{4}}=\frac{1}{2}\sqrt 3=0,866025\)

Der Mindestabstand zwischen der Parabel f(x) = x^₂ ist gleich 0,866025

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