To answer this question, you have to find the least common multiple of 5, 2, and 7.
1) Find the prime factorization of each of the numbers=5, 2, 7
2) Multiply the numbers: 5*2*7=70
3) Every 70 days he will do all three things on the same day
Answer:
x = ±i, x = -3, and x = -1
Step-by-step explanation:
If x = -1 is a solution, then x + 1 is a factor. Using grouping:
x⁴ + 4x³ + 4x² + 4x + 3 = 0
x⁴ + 4x³ + 3x² + x² + 4x + 3 = 0
x² (x² + 4x + 3) + x² + 4x + 3 = 0
(x² + 1) (x² + 4x + 3) = 0
(x² + 1) (x + 3) (x + 1) = 0
All the solutions are x = ±i, x = -3, and x = -1.
Answer
Square prism
It has 2 squares and 4 rectangles
Answer:
1056.25π square units
Step-by-step explanation:
A few formulas an definitions which will help us:
(1) 
, where c is the circumference of a circle and d is its diameter
(2) 
, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) 
.
We can rearrange equation (1) to put d in terms of π and c, giving us (4) 
, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:
We can now substitute c for our circumference, 65, to get our answer in terms of π:
