Answer: 5503680
Step-by-step explanation:
The coach wants 2 senior out of 36 so he have
C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260
possibilities
Now he also wants 3 juniors out of 14
C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184
Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore
Coach has
2184 * 1260 = 2751840 possibilities to choose from
Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be
2751840*2 = 5503680
Answer: These are the answers for the first section
A) 1/5(10)-4= -2
B) 1/5(-15)-4= -7
C) 1/5(2)-4= -3.6
Step-by-step explanation: You plug in those numbers for X
Answer:
B = 5 and F = 5
Step-by-step explanation:
Step 1: B = 5 because 350(5) = 1750
Step 2: F = 5 because 525(5) = 2625
Step 3: 2625 + 1750 = 4375
x = –6
Solution:
Given expression is
.
Step 1: Isolate the radical by subtracting 5 from both sides of the equation.
![\Rightarrow\sqrt[3]{x-2}+5-5=3-5](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%2B5-5%3D3-5)
![\Rightarrow\sqrt[3]{x-2}=-2](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%3D-2)
Step 2: Cube both sides of the equation to remove the cube root.
![\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3](https://tex.z-dn.net/?f=%5CRightarrow%28%5Csqrt%5B3%5D%7Bx-2%7D%29%5E3%3D%28-2%29%5E3)
Cube and cube root get canceled in left side of the equation.

Step 3: To solve for x.
Add 2 on both sides of the equation.


Hence the solution is x = –6.
Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

You know that A'B'=6, then the scale factor of dilation can be calculated with:

Substituting values, you get:

This matches with the option C.