When the rational number is negative
Answer:
microalgae required less space.
Step-by-step explanation:
Amount of oil to be produced = 1,000 gallons
Now,
We know
10,000 gallons of oil is extracted from the miroalgae per acre per year
and,
From soyabeans the oil extracted = 50 gallons per acre per year
therefore,
To produce 1,000 gallons number of acres required by microalgae
= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from microalgae]
= 1,000 ÷ 10,000
= 0.1 acres
similarly
To produce 1,000 gallons number of acres required by soyabeans
= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from soyabeans]
= 1,000 ÷ 50
= 20 acres
hence,
microalgae required less space.
3, 9, 27, 81, 343, 729, … is a geometric sequence because each term is obtained by multiplying 3 to the preceding term.
You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
First multiply and dstribute
a(b+c)=ab+ac
2(3x+2)=6x+4
6x+4=2x-1+x
add like terms
6x+4=3x-1
subtract 3x from both sides
3x+4=-1
subtract 4 from both sides
3x=-5
divide bothe sides by 3
x=-5/3
