Choose the expressions that are perfect cubes

Mathematics

1 answer:

Ludmilka [50]2 years ago

4 0

Answer: the second fifth and sixth one

Step-by-step explanation:

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The solids are similar. Find the volume V of the larger solid.

diamong [38]

Answer:

9604

Step-by-step explanation:

V = (7/3)³ × 756

= 343/27 × 756

= 9604 ft³

4 0

2 years ago

• Chandra bought a 2-liter bottle of

frosja888 [35]

Answer:

Step-by-step explanation:

1 liter = 33.8 fl oz

Hence

2 liter = 33.8 * 2 = 67.6 fl oz

Now, we need to determine, how many 8 fl oz glasses can be filled with 67.6 fl oz of juice. For that, we need to divide total amount of juice (in fl oz) by 8. We will get:

$\frac{67.6}{8}=8.45$

So there is enough juice to fill around 8.5 glasses, but we need to know how many FULL GLASSES can be filled, NOT PARTIAL.

Thus, we can say:

8 glasses max can be filled with 2 Liters of juice

Answer choice D is right

3 0

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