Answer:
is the sum 78 or 7,878 (i.e. was there a stutter)?
 
In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.
Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.
 
No stress!  Just logic! Keep the faith!
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
B. (11, -2)
Step-by-step explanation:
x.) 4 + 7 = 11
y.) -10 + 8 = -2
 
        
                    
             
        
        
        
<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>
        
             
        
        
        
To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:
<span>
Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have </span>only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. 

.
So 0.000000016 expressed in scientific notation is 1.6x

, or in calculator notation 1.6E-8
We can conclude that the correct answers are <span>
1.6E-8 and </span><span>
1.6 × 10-8</span>
 
        
        
        
Answer:
<u>60+14.35=88.27</u>
Step-by-step explanation:
5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.