Combinations possible = 25 * 25 * 25. Product rule
The point is that numbers can be reused. 1 5 1 is a valid combination as is 4 4 4
20 * 5 * 1 is a valid combination as is 1 25 5
So the answer is 15625 "combinations" are possible <<<<< answer
Answer:
3
Step-by-step explanation:
Let:
Lala be l
Polina be P
Goffy be G
the respective ratio is 6:5:3
Given that Polina's loudness is 420 decibels then the total loudness will be calculated as follows:
Total ratio=6+5+3=14
hence total loudness will be:
14/5×420
=1,176 decibels
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4
The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
Answer:
Step-by-step explanation:
To find an equation of the sphere with center (4, −12, 8) and radius 10

intersection with xy-plane
Put z=0


(A circle with centre at (4,-12) and radius 6)
intersection with xz-plane
Put y =0


Sum of squares cannot be positive, so DNE
intersection with yz-plane
Put x=0


A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84