Answer:
So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.
Step-by-step explanation:
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.
Step-by-step explanation:
The given is,
Volume of cylindrical vase = 8038.4 cubic centimeters
Height of the cylindrical vase = 40 centimeters
Step:1
Formula for volume of cylindrical vase,
......................(1)
Where, r - Radius of cylindrical vase
h - Height of cylindrical vase
From the given,
V = 8038.4 cubic centimeters
h = 40 centimeters
Equation (1) becomes,
8038.4 
(∵
= 3.14 )


r = 8 centimeters
Result:
The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.
Answer:
d) p(4) = 0.
Step-by-step explanation:
p(4) = 0:-
p(4) = 4^2 + 8(4) - 48
= 16 + 32 - 48
= 0.
This is an application of the Factor Theorem ( a special case of The Remainder Theorem)
The Factor theorem states that if (x - a) is a factor of P(x) then P(a) = 0.
Answer:

Step By Step Explanation:
Remove Parenthesis: (a) = a

Simplify 

Rewrite Equation:

Simplify 

- Mordancy
Do they get on it? I don;t understand your question.