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diamong [38]
3 years ago
11

Simplify Negative three and one-half minus negative twelve and one-fourth

Mathematics
1 answer:
Mila [183]3 years ago
4 0

(-3\frac{1}{2}) - (-12 \frac{1}{4} ) = 8\frac{3}{4}

that is your answer

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Q and R are independent events. if P(Q)= 1/4 and P (R)= 1/5, find P(Q and R)
Setler79 [48]

Answer:

1/4 * 1/5 = 1/20

3 0
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6)528<br> What is the answer????
Cloud [144]

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3168

Step-by-step explanation:

you mean (6)528

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What number would you have to add to both sides to complete the square?
aleksandr82 [10.1K]
X^2 + 12x = -6

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Step-by-step explanation:

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3 years ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
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