It will take 100 weeks to build the tower.
Since Donald Trump wants to build a 100 meter high tower as quickly as possible with blocks that are 100 meters long and 100 meters wide, but only 1 meter tall, and using special lifters, putting one stack on top of another stack takes one week regardless of how high the stacks are, to determine what is the shortest amount of time (weeks) that it will take to build the tower, the following calculation must be performed:
- Time per block x total blocks = Total time
- 1 week x 100 = X
- 100 weeks = X
Therefore, it will take 100 weeks to build the tower.
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Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
Answer: B
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The notation "f(4)" means you put 4 where x is in the algebraic expression, then do the arithmetic.
f(4) = 2·4 -5
= 8 -5
= 3
Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.