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Radda [10]
3 years ago
9

27x^2y^4÷16yz^4×8z÷9xy^4

Mathematics
1 answer:
arlik [135]3 years ago
8 0

I think that the answer is 3x/2yz^3 because I did [(27x^2y^4/16yz^4)*(8z/9xy^4)].

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Joshua and his children went into a bakery and he bought $15 worth of donuts and cookies. Each donut costs $1.75 and each cookie
Natalija [7]

Answer:

Joshua bought 12 cookies & ABOUT 7 donuts.

Step-by-step explanation:

7 0
3 years ago
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Multiply write in simplest form 20 × 3/4
dalvyx [7]
Multiply straight across and then just simply your answer. I divided by 2.

5 0
3 years ago
Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
Leni [432]

Answer:  \dfrac{2x^2-1}{x(x^2-1)}

Step-by-step explanation:

The given function : y=\ln(x(x^2 - 1)^{\frac{1}{2}})

\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}    [\because \ln(ab)=\ln a +\ln b]

\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}  [\because \ln(a)^n=n\ln a]

Now , Differentiate both sides  with respect to x , we will get

\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1) (By Chain rule)

[Note : \dfrac{d}{dx}(\ln x)=\dfrac{1}{x}]

\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)

[ \because \dfrac{d}{dx}(x^n)=nx^{n-1}]

=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}

Hence, the derivative of the given function is \dfrac{2x^2-1}{x(x^2-1)} .

8 0
3 years ago
1/4 x 2/5 x 3/6 x 4/7 x 5/8 x 6/9 x 7/n=?
postnew [5]

Answer:

c. \frac{1}{12n} = {[12n]}^{-1}

Step-by-step explanation:

[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}

\frac{2}{3} = \frac{6}{9}\\ \\ \frac{1}{2} = \frac{3}{6}

* To make this simpler, reduce these two fractions in lowest terms.

I am joyous to assist you anytime.

8 0
3 years ago
Solve for z w(-4+z)=Mz+17
bogdanovich [222]

Answer:

z = \frac{17+4w}{w-M}

Step-by-step explanation:

6 0
3 years ago
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