Answer:
The first table is proportional
Step-by-step explanation:
The first table's equation is y=8x. That is proportional because the equation is followed throughout the whole table.
The second table is not. You cannot just add 1 more per every column. So, the second table is not proportional.
The length of the curved surface is the circumfrence of a circle with radius r = 10/2 = 5 decimeters.
Length of curved surface = 2π x 5 = 10π ≈ 31.4 decimeters.
Answer:
1330.5 cm³
Step-by-step explanation:
The volume of a cylinder is: V = πr²h
Substitute the values for those variables.
V = π(5.5)²(14)
V = π(30.25)(14)
V = 1330.5
Answer:
The enlargement ratio is 3:4
Step-by-step explanation:
We are given
a width of 16 units and length of 12 units
so,

and

now, we can find enlargement ratio
we can use formula
enlargement ratio = (length)/(width)

now, we can plug values

now, we can simplify it

So,
The enlargement ratio is 3:4

has gradient

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

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say
, in which case we have

Then the derivative of
at (-1, 4, 3) in the direction of
is
