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lawyer [7]
3 years ago
12

Which expression is equivalent to (x^1/2y^-1/4z)^-2?

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

y^1/2/xz^2 option 3

Step-by-step explanation:

(x^1/2 y^-1/4 z)^-2= x^(-1/2*2) y^(1/4*2) z^-2= x^-1 y^1/2 z^-2= y^1/2/xz^2

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Mn- p=2m<br> (solve for m)
77julia77 [94]

Good evening

Answer:

m = p/(n - 2)

Step-by-step explanation:

mn- p=2m ⇌ mn - 2m = p ⇌ m(n - 2) = p ⇌ m = p/(n - 2)

________________

:)

4 0
3 years ago
Read 2 more answers
Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie
Yakvenalex [24]

Volume of the pyramid:

V=\dfrac{s^2h}3

Perimeter of the cross-section:

40=\sqrt2\,s+2\sqrt{\dfrac{s^2}2+h^2}=\sqrt2\left(s+\sqrt{s^2+2h^2}\right)

\implies h=\sqrt{\dfrac{(20\sqrt2-s)^2-s^2}2}=\sqrt{400-20\sqrt2\,s}

Area of the cross-section:

P=\dfrac12(\sqrt2\,s)h=\dfrac{sh}{\sqrt2}

\implies P=\dfrac{s\sqrt{400-20\sqrt2\,s}}{\sqrt2}=s\sqrt{200-10\sqrt2\,s}

First derivative test:

\dfrac{\mathrm dP}{\mathrm ds}=\dfrac{20\sqrt2-3s}{\sqrt{4-\dfrac{\sqrt2}5s}}=0\implies s=\dfrac{20\sqrt2}3

Then the height of the cross-section/pyramid is

h=\sqrt{400-20\sqrt2\,s}=\dfrac{20}{\sqrt3}

The volume of the pyramid that maximizes the cross-sectional area P is

V=\dfrac{\left(\frac{20\sqrt2}3\right)^2\frac{20}{\sqrt3}}3=\dfrac{16000}{27\sqrt3}

5 0
3 years ago
A series of tile patterns is shown below. Consider the function that represents the number of white
atroni [7]

Answer:

4

Step-by-step explanation:

first you add them and then you subtract and you will get your answer

3 0
3 years ago
Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?
zimovet [89]

Answer:

Step-by-step explanation:

A

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

B

Factor each number into it's primes.

24 =<u> 2*2*2</u>*3

32 = <u>2*2*2</u>*2*2

The highest common factor is 2*2*2 = 8

C

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

3 0
2 years ago
I answered all my work correctly but I don’t understand this one.
SpyIntel [72]
Take your x values in each coordinate and subtract 2, and take your y values and subtract 1.

Q (0-2), (-1-1)
= (-2,-2)

D (-2-2), (2-1)
= (-4, 1)

V (2-2), (4-1)
= (0,3)

J (3-2), (0-1)
= (1,-1)

You can also draw it on a graph and then translate all coordinates 2 units left and 1 down to see the end results.
3 0
3 years ago
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