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Ivenika [448]
3 years ago
6

Evaluate the square root of -7.5s where s is -3

Mathematics
1 answer:
Stells [14]3 years ago
4 0
Answer:
\sqrt{22.5}

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Solve this quadratic equation using the quadratic formula.<br> 2x^2 - 2x = 0
lakkis [162]

Answer:

27

Step-by-step explanation:

The answer is x=27

6 0
2 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
What is the sum of the complex numbers 6+5i and 8+3i2? (NOTE: −1‾‾‾√=i )
Ahat [919]

Answer:

11 + 5i

Step-by-step explanation:

6 + 5i + 8 + 3i² =

= 6 + 8 + 3(-1) + 5i

= 14 - 3 + 5i

= 11 + 5i

4 0
2 years ago
A king cobra has a mass of 8.845 kilograms. Round the mass to the nearest tenth kilogram.
nevsk [136]

Answer:

8.8 Kilograms

Step-by-step explanation:

5 0
3 years ago
A shop sells bagels for $5 per dozen. You can use the table to answer
Tomtit [17]

Answer:

$2.5

120 bagels

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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