Answer:
Step-by-step explanation:
red balls=3
blue balls=4
total balls=3+4=7
probability of selecting 3 red balls=3/7 ×2/6×1/5=1/35
selecting 1 red ball=3/7
after selecting there are two red balls and total balls are 6
so now P=2/6
and so on .
Subs x = -5 into f(x) = 4
f(-5) = 4 (answer)
Answer:

Step-by-step explanation:
So we have the equation:

First, separate the second term:

Let u equal 5ˣ. So:

Combine like terms:

Divide both sides by 6:

Substitute back u:

Take the base 5 logarithm of both sides:

The left cancels:

Evaluate the right:

So, our answer is 2.
And we're done!
The triangle cannot be made.
Solution:
Given sides of a triangle are 8 ft, 20 ft and 8 ft.
<u>To determine if the triangle can be made:</u>
Let us first define the triangle inequality theorem.
Triangle inequality theorem:
The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.
Using this theorem, we can determine if the triangle can be made or not.
8 ft + 20 ft = 28 ft > 8 ft
20 ft + 8 ft = 28 ft > 8 ft
8 ft + 8 ft = 16 ft < 20 ft
Here the sum of the two sides is less than 20 ft.
This is not satisfy the triangle inequality theorem.
Therefore, the triangle cannot be made.