Answer:
D
Step-by-step explanation:
tanA =
=
= 
All you'd have to do is find a common denominator, which would be 24 (because both 8 and 6 go into it). So you'd multiply both 3 and 8 by 3 to get 9/24, and both 1 and 6 by 4 to get 4/24. Then you add 9/24 to 4/24 to get 13/24. Then you just get the left over fraction, which is 7/24. That's the allowance she spent on other items. I hope this helps!
we can translate the given data into two points:
(0, 145 million) and (10, 190 million)Substituting to the equation P = Ae^kt, then145 million = A e ^ k* 0A = 53342518.97 Also, 190 million = 53342518.97* e^k^10k = 0.127
When t is equal to 20, thenP = 53342518.97 e^ 0.127*20p = 676 million
To match the number with the opposite, we are flipping the sign. If the sign is originally a negative, it would become a positive, and vice versa.
Term: 3.2 Match (Opposite): B) - 3.2
Term: -2.3 Match (Opposite): D) 2.3
Term: -1.5 Match (Opposite): C) 1.5
Term: 5.1 Match (Opposite): A) -5.1
~
Answer:
R1= 10.04
R2=10
Step-by-step explanation:
The differential equation is given by:

The minimum radius of convergence is given by the distance from the point x=a, to the nearest singularity points of the differential equation.
The singularity points are the roots of the polynomial that multiplies the second derivative of y. Thus, you have:

the roots are in the complex plane. The radius of convergence is the distance between the points z1=0+0i, z2=1+0i (x=0 and x=1, respectively), in the complex plane, that is:
