Answer:
9/2
Step-by-step explanation:
this is a simple integral function
given limits of interval [a,b] of a continuous function f(t), you can find the area under the curve by using:


using the fundamental theorem of calculus that states the integral of f(x) in the interval [a,b] is = g(a)-g(b), where g(x) is the antiderivative of f(x)
our g(x) = 
g(3)-g(0) = g(3) = 27/2 - 27/3 = 27/2-9 = 9/2
Answer:
x < -6
Step-by-step explanation:
3x - 2 > 5x + 10
first step is to isolate x
3x -2 >5x +10
3x > 5x + 10 + 2
3x -5x > 10 + 2
now that we have 3x and -5x we can combine them
-2x > 10 + 2
now add 10 +2 =12
-2x > 12 (now divide by -2)
x < -6 (when we divide we flip the inequality sign)
Answer:
0.66 gal.
Step-by-step explanation:
The following should apply:
C1 * V1 = C2 * V2
we have that C1 is 0.1, that C2 is 0.3 and that V1 is equal to 2 gal
replacing the values we have that:
0.1 * 2 = 0.3 * V2
reorganizing the equation we have:
V2 = 0.1 * 2 / 0.3 solving this remains 0.66.
It means that the amount of solution 2 is 0.66 gal.
Answer:
3.14
Step-by-step explanation:
d=2
A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14