Answer:
Step-by-step explanation:
Please see the attached picture.
☆In the gradient formula,
(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.
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: Option C.
Step-by-step explanation:
The volume of a sphere can be calculated with this formula:
Where "r" is the radius.
You can observe in the figure that the value of the radius of this sphere is:
Then you can substitute this radius into the formula .
Therefore, the volume of the sphere shown in the figure is:
Answer:
Step-by-step explanation:
Let the Number of students in the Robotics club be x
So , the number of students in the Science club must be x+12
(Because it is given that the science club have 12 more students.)
Total number of students = 84
So ,
x+(x+12)=84
combining the like terms we get
2x+12=84
Subtract 12 from both sides
2x=72
Divide both sides by 2
x=36
So ,
Number of students in the Robotics club = 36
Number of students in the Science club =36+12 = 48
The answer would be 340 and its correct because I did it!!
