Answer:
523.6
Step-by-step explanation:
Here is the equation to get that answer:
V=4/3πr3=4/3·π·53≈523.59878
Answer:
a= 3/11
b = 2/11
Step-by-step explanation:
a(1) + b(4) = 1
a + 4b = 1
a(3) + b(1) = 1
3a + b = 1
b = 1-3a
a + 4(1-3a) = 1
a+ 4-12a = 1
-11a = -3
a = 3/11
b = 1-3(3/11)
b= 2/11
this equation ( /2x-1/=5)can be solved if we solve the following equations:
2x-1=5
2x-1=-5
1)We solve the first equation:
2x-1=5
2x=5+1
2x=6
x=6/2
x=2
2) we solve the second equation.
2x-1=-5
2x=-5+1
2x=4
x=-4/2
x=-2
The solutions of this equation /2x-1/=5 will be: x=3 and x=-2
Answer: x=3 and x=-2
Answer:

Step-by-step explanation:
From the question, we have the following condition:

We know that each student who hears the rumor tells it to a student picked at random from the dormitory (excluding, of course, himself/herself and the person from whom he/she heard the rumor)
The 3rd student can therefore tell the rumour to n-2 students but only n-3 will accept it.

Consequently, the 4th student must not tell the 1st and second students.

We can rewrite this to observe a pattern:



Hence, the probability that the rumor is told r times without coming back to a student who has already is:

See attachment for complete question
Answer:
n= 69 degrees
Step-by-step explanation:
total inside measure of any triangle is 180 degrees
180= n+n+42
180= 2n+ 42
2n= 180-42
2n= 138
n=69