N P r = (n!)/((n-r)!)
8 P 4 = (8!)/((8-4)!)
8 P 4 = (8!)/(4!)
8 P 4 = (8*7*6*5*4!)/(4!)
8 P 4 = 8*7*6*5
8 P 4 = 1680
The final answer is 1680
Answer:

Step-by-step explanation:
In order to find the answer we need to calculate the directional derivative:


The gradient of f is:

The unit vector can be found as:

The directional derivative at the point is:

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

Answer:
573.3 cubic inches or 573 3/10 cubic inches of ice cream
Step-by-step explanation:
An ice cream cake mold in the shape of a right square prism has a base area of 110 1/4 square inches and a height of 5 1/5 inches.
To solve the above question, we have to find the volume of the square prism
Volume = Base Area × Height
Volume = 110 1/4 square inches × 5 1/5 inches
Volume = 441/4 in² × 26/5 in
= 573.3 cubic inches or 573 3/10 cubic inches
Therefore, the maximum amount of ice cream that can fit into the cake mold without overflowing is 573.3 cubic inches or 573 3/10 cubic inches of ice cream
Answer:
Polígono en el plano de coordenadas
Step-by-step explanation:
En general, cuando una forma se define dentro de un plano de coordenadas, se define por los vértices, y luego las líneas se dibujan para conectarlas. Un polígono es cualquier forma compuesta de líneas rectilíneas o rectas. El polígono más pequeño es un triángulo, que tiene tres lados. Una figura de cinco lados es un pentágono.
Espero que esto te ayude :)