Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.
volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3
Now let's double it
volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3
So we see that by doubling the dimensions we multiply the volume by a factor of 8. Let's do that for your volume, 3.5 m^3
3.5 x 8 = 28 m^3
Answer:
An invoice was paid an average of 20 days after it was received.
Mean =
Standard deviation =
Now we are supposed to find what percent of the invoices were paid within 15 days of receipt i.e.P(x<15)
Formula :
At x = 15
Substitute the values
Refer the z table for p value
So, p value = 0.1587
So, 15.87% of the invoices were paid within 15 days of receipt
Step-by-step explanation:
Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
Answer:
ASA
Step-by-step explanation:
The triangles in the picture are congruent by ASA method
Answer:
Step-by-step explanation:
That would be 0=12 or 10 so that means you have to add 2 to 10.
