Answer:
3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3 + 216 times 3+ 343 times 3
2352 cubic units^3
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I find it simplest to convert to standard form, find the perpendicular, convert back.

For standard form we move the x term to the left side:

The perpendiculars are given by swapping the x and y coefficients, negating one. The right side is directly determined by the point (-2,7):

Solve for y for point slope form:


That's the answer.
Answer:
See below.
Step-by-step explanation:
The set of all positive integers N is countable so we need to show that there is a 1 to 1 correspondence between the elements in N with the set of all odd positive integers. This is the case as shown below:
1 2 3 4 5 6 ...
| | | | | | ....
1 3 5 7 9 11....
Answer:
a) φ = 4/7
b) φ = 4
Step-by-step explanation:
The relationship between radius, angle, and arc length is ...
a = r·φ . . . . . φ in radians
You want to find the angle φ, so you can divide this equation by r:
φ = a/r
__
a) φ = a/r = (8 cm)/(14 cm) = 8/14
φ = 4/7 radians
__
b) φ = a/r = (16 cm)/(4 cm) = 16/4
φ = 4 radians