Z* for 90% confidence is ________. (hint: use z-table c, or software.) answer to three decimal places x.xxx
1 answer:
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Answer:
1. Equilibrium solution: y= -3
2. Equilibrium solution y= ±1.414
Step-by-step explanation:
Thinking process:
The equilibrium solution can only be derived when
1. Let's look at the first equation:
equating to the expression
gives
y + 3 = 0
y = -3
Therefore, the equilibrium solution occurs at y = -3
2. Let's look at the second solution:
dividing each side by (t²-1) gives
1/(t²-1) = (y²-2)/ (y²-4)
factorizing the right hand side gives:
at equilibrium: , then
y² - 2 = 0
solving for y gives y = ±√2
= ±1.414
Answer: The volume of the tilted solid is 1000 ft³.
Step-by-step explanation:
Since, The volume of a cube = ( side )³
⇒ 1000 = (side)³ ⇒ side = 10
Hence, the side of the given cube = 10 feet
Since, the base of a cube = square having side 10 feet.
When we tilted the cube by 2 units,
Then, the base of the new solid = Rhombus having height 10 meters and base 10 feet,
Since, the square and rhombus are lying in the same base ( Shown in diagram)
Area of rhombus (Base of new solid) = Area of square having side 10 feet = 100 ft²
Since, the height of new solid is also 10 feet.
Thus, the volume of new solid = Area of its base × height
= 10 × 100
= 1000 ft²
