Its false the answer is 3 1/2
Total pressure is constant and PT = P = 1/2*ρ*v^2
So p1 + 1/2*ρ*v1^2 = p2 + 1/2*ρ*v2^2 and from continuity we have ρ*A1*v1 = ρ*A2*v2
So v2 = v1*A1/A2 since r2 = 2r1 then A2 = 4A1
so v2 = v1/4
Now from above p2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v2^2 = p1 + 1/2*ρ*v1^2 - 1/2*ρ*v1^2/4^2
So p2 = 3.0x10^4Pa + 1/2*1000kg/m^3*(12m/s)^2 - 1/2*1000kg/m^3*12^2/16
= 9.75x10^4Pa = 9.8x10^4Pa
Not sure what algebra tiles are
not sure how to absolutely prove
I can prove it works at least most of the time by subsitute ing number for x
remember that 0,1,2 have special properties and are not very good for subsituting so
try 4
4+8(4)=4(2(4)+1)
true or false?
4+8(4)=4(2(4)+1)
multipily
4+32=4(8+1)
36=4(9)
36=36
this is treu at least for the number 4
another way is to believe in the distributive property where
a(b+c)=ab+ac so then
4(2x+1)=4(2x)+4(1)=8x+4=4+8x
Answer:
If the shelves are 4/5 full, then the total number of books in the library is 1,040 books
Step-by-step explanation:
13 roll of bookcases
All the bookcases have four shelves
Total number of shelves = 4 x 13
= 52 shelves
Each shelve holds 25 books each
Total number of books that can be in the shelves altogether = 52 x 25
= 1,300 books
If the shelves are 4/5 full, then the total number of books in the library is,
4/5 x 1300
= 1,040 books
Answer:
a) Probability of picking Two MAGA buttons without replacement = 0.15
b) Probability of picking a MAGA and GND button in that order = 0.0833
Probability of picking a MAGA and GND button in with the order unimportant = 0.167
Step-by-step explanation:
10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.
Total number of buttons = 10 + 5 + 10 = 25
Let probability of picking a MAGA button be P(M) = 10/25 = 0.4
Probability of picking a GND button be P(G) = 5/25 = 0.2
Probability of picking a NAW button be P(N) = 10/25 = 0.4
a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15
b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833
Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167