Answer: What percentage is 15 out of 75?
20
Percentage Calculator: 15 is what percent of 75? = 20.
Step-by-step explanation:
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
c. 2.0 < t < 2.5
Step-by-step explanation:
Since, the diameter of the lake = 2 miles,
⇒ Radius of the lake = 
= 1 mile,
Circumference of the lake = 
Total distance he/she has to cover = 
miles
Speed = 3 miles per hour,
We know that,
Thus, the time taken by her/him ( say t ),
∵ 2.0 < 2.094 < 2.5
Hence, OPTION c. is correct.
Let’s say (5, 3) is Point A, (5, -4) is Point B, and (8, 3) is Point C. If reflected into the y axis, you would simply just make the x signs the opposite of what they already are. Therefore Point A being (-5, 3), Point B being (-5, 4), and Point C being (-8, 3).
