It was determined that P(B) = P(A₁B) + P(A₂B). It was previously found that P(A₁B) = 0.2 and P(A₂B) = 0.02. Use these values to find P(B). P(B) = P(A₁B) + P(A₂B) = 0.2 + =

Find N, A, and b. g(x) =  5 1 + 0.333(3−x) ;    [0, 2] N  =    A  =    b  =

Two balloons, one red and one green are released from a platform at t=0. Each balloon goes up for a while, then comes down. The height (in meters) of the red balloon from the platform after tt  minutes is given by R(t)=−10t2+400tR(t)=−10t2+400t  The height (in meters) of the green balloon from the platform after tt  minutes is given by G(t)=−16t2+120tG(t)=−16t2+120t  How long is the interval of time in which the red balloon is rising and the green balloon is falling?   ANSWER:  ____________ minutes Do not include units in the answer blank.  Just a number.  If rounding is necessary, round to two digits after the decimal.

If P(E) = 0.45, P(E or F) = 0.70, and P(E and F) = 0.05, find P(F). P(F) = (Simplify your answer.)

If det(A) = 2, find det(A5).

Estimate f(−1.99,−1.03) given that f(−2,−1)=−3, fx(−2,−1)=4, and fy(−2,−1)=1.

Find  f(−6). f(x) =    x2 + 13 f(−6) =

If h(x)= 2x2 – 3x + 1, what is h(-2)?

f(0)=2 and f(n+1)=3f(n)-1. Find f(4)