Answer:
First term: 5
Fourth term: 5 1/2 
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
 
        
             
        
        
        
Answer:
36 sq. cm
Step-by-step explanation:
triangle area= 0.5 * 12* 10
rectangle are= 8* 3
60 - 24 = 36
 
        
             
        
        
        
Answer:
Step-by-step explanation:
2q + 2p = 1 + 5q
-3q + 2p = 1
-3q = 1 - 2p
3q = 2p - 1
q = (2p -1)/3
 
        
             
        
        
        
I think laura is 10 years old and her dad is 40
        
             
        
        
        
<span>6.5 x 10^6
To answer this question, you need to divide the mass of the sun by the mass of mercury. So
2.13525 x 10^30 / 3.285 x 10^23 = ?
To do the division, divide the mantissas in the normal fashion
2.13525 / 3.285 = 0.65
And subtract the exponents.
30 - 23 = 7
So you get
0.65 x 10^7
Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving
6.5 x 10^6
So the sun is 6.5 x 10^6 times as massive as mercury.</span>