Answer:
Minimum 66 feet of molding that he needs.
Step-by-step explanation:
Given that a square ceiling has a diagonal of 23 ft.
If the sides of the square ceiling are 'a' feet, then applying Pythagoras Theorem we can write, a² + a² = 23²
⇒ 2a² = 23²
⇒ a = 16.2634 feet (Approximate)
Now, the perimeter of the square ceiling will be 4a = 65.05 feet.
If the cost of molding along the perimeter of the ceiling is in per foot, then a minimum of 66 feet of molding that he needs. (Answer)
Answer: (B) min = -14, max = -3
<u>Step-by-step explanation:</u>
The minimum is the y-value of the vertex of a positive (U-shaped) parabola. In the graph, the vertex is located at (4.5, -14). The y-value of the vertex is -14.
The maximum is the y-value of the vertex of a negative (∩-shaped) parabola. In the graph, the vertex is located at (1.5, -3). The y-value of the vertex is -3.
Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
b) for 7500 g to reach to 6900 g
It will take 6 years for 7500 grams of X to reach 6900 grams.
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