Answer:
2000π in³/s
or 6283.2 in³/s
Step-by-step explanation:
dr/dt = 5
volume of sphere is given as
v = (4/3)(π)r³
differentitate wrt r
dv/dr = 3×4/3 ×π×r²
dv/dr = 4πr²
put r = 10
dv/dr = 4π(10)²
dv/dr = 400π
by chain rule
dv/dt = dv/dr ×dr/dt
dv/dt = 400π× 5
dv/dt = 2000π in³/s
or dv/dt =6283.2 in³/s
-x+5=2x-1
+x +x
5=3x-1
+1 +1
6=3x
/3 /3
2=x
first you take both equations and set them equal to each other because they both equal Y then you add x to both sides to eliminate it from one side. next you add 1 to both sides so that you have 6 equals 3x. lastly you divide both sides by 2 to get your final answer x equals 2.
y=2x-1
y=2•2-1
y=4-1
y=3
when solving for y you have to choose one of the equations and substitute the answer you got for x in which is 2. Then you solve it like a regular equation and multiply first 2 by 2 and lastly subtract 1 from 4 which leaves you with an answer of y=3.
The coordinate point would be (2,3) because x=2 and y=3.
Answer:
X^2-3x+1=0
(x squared minus 3x plus one equals 0)
Step-by-step explanation:
5 + 5 + 5 = 15
15 + 2 = 17 trophies
(5 x 3) + 2 = x (This is a possible way of writing the expression.)
⅝ of the votes were for blue. That leaves ⅜ of the votes remaining. 5/9 of the remaining ⅜ votes were for green, so you multiply 5/9 x ⅜ = 15/72 votes for green. ⅝ of the votes were for blue, so you can multiply the fraction by 9/9 to get 45/72. So 45/72 votes were for blue, and 15/72 votes were for green. That leaves 12/72 votes remaining, which were for red. Since the question says 48 votes out of the total number of votes were for red, this means 48/v = 12/72 (v = the total number of votes). Cross multiply and solve for v to get v = 288. The fraction for blue is ⅝, so you can say x/288 = ⅝ (x = the number of votes for blue). Cross multiply and solve for x to get x = 180 votes for blue.
