Answer:
1)B
Step-by-step explanation:
 
        
             
        
        
        
Answer:
5.1 days 
Step-by-step explanation:
Given in the question,
initial amount of substance = 34 grams
k-value = 0.137
To find the half life of this substance we will use following formula

here N(0) is initial amount of substance
         t is time in days 
Plug values in the formula

1/2 = e^{-0.137t}
Take logarithm on both sides
ln(1/2) = ln( e^{-0.137t}) 
ln(1/2) = -0.137t
t = ln(1/2) / -0.137
t = 5.059
t ≈ 5.1 days (nearest to tenths)
 
        
             
        
        
        
Answer: 36
Step-by-step explanation:
 (Triangle ABC is isosceles)
 (Triangle ABC is isosceles)
 (base angles of an isosceles triangle are congruent)
 (base angles of an isosceles triangle are congruent)
 (In triangle CMB, angles in a triangle add to 180 degrees)
 (In triangle CMB, angles in a triangle add to 180 degrees)
 (triangle sum theorem)
 (triangle sum theorem)
 (30-60-90 triangle CMB)
 (30-60-90 triangle CMB)
 (sides opposite congruent angles in a triangle are congruent)
 (sides opposite congruent angles in a triangle are congruent)
 (segment addition postulate)
 (segment addition postulate)
 
        
             
        
        
        
Answer:
(x + 2) ^2 (x - 2) ^ 2 so A is the answer. 
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
 a=1 or a=5/6
Step-by-step explanation:
I'm going to attempt to factor 6a^2-a-5
a=6
b=-1
c=-5
Find two numbers that multiply to be a*c and add to be b.
a*c=-30                                   =-6(5)
b=-1                                          =-6+5
So replace -a with -6a+5a in the expression we started with
6a^2-6a+5a-5 
now we factor by grouping
6a(a-1)+5(a-1)
(a-1)(6a-5)
Now let's solve the equation:
(a-1)(6a-5)=0
So a=1 or a=5/6