4/20, 20% chance. The store has 20 puppies. Out of them is 4 poodles. Divide 4 by the total(20). And you get 0.2, remove the decimal place and add it in front of the 0 .02 reverse the numbers 20. Replace the period with a %.
Answer:
root estimate = 1.75
error bound = 0.25
Step-by-step explanation:
f is a polynomial, so it is continuous in R (real numbers). Then you can use Bolzano's theorem.
f(0) = -3.1 < 0
f(2) = 4 - 3.1 = 0.9 > 0
Then there exists c in [0, 2], for which f(c) = 0
In the bisection method you generate a sequence 
of approximations of a root. If you have a bracketing interval [a, b], such that
f(a) and f(b) have opposite signs, then you use approximate the root as 
In this case:
Then:
The error bound is half the width of the interval [1.5, 2]
Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
then, Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9) (sec²Ф will have a negative value, because Ф is in the sec Ф=-5/3 third quadrant).
cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5
Therefore:
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2
Answer: tan (Ф/2)=-2; when tan (Ф)=4/3
Answer: 15% of 995 is 149.25, rounded up he should be paying 149 monthly
Answer:
4x-12y=9
Step-by-step explanation:
y=1/3 x + 3/4
1/3 x-y=3/4
(x-3y)/3=3/4
4(x-3y)=3×3
4x-12y=9
