= 2^-16 * 3^10 *3^-8/ 2^12 * 2^28
= 2^(-16 - 12 + 28) * 3^(10 - 8)
= 2^0 * 3^2
= 9
answer
9
Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:


Upon substituting
in 1st equation we will get,

Upon multiplying both sides of our equation by 5 we will get,






Upon substituting y=170 in 2nd equation we will get,


Therefore, Charlene's speed is 34 miles per hour.
57.2-6.7-6.7=43.8
43.8÷6=7.3
7.3×2+6.7=21.3
length = 21.3cm
width = 7.3cm
(21.3×2)+(7.3×2) = 57.2
hope that helps
Answer:
Options 1 and 4 are arithmetic
Step-by-step explanation:
Arithmetic means that you are adding or subtracting a number in a sequence.
For option 1, we are adding 2 every time.
-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3
For option 4, we are subtracting 7 every time.
32 - 7 = 25 25 - 7 = 18 18 - 7 = 11
Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.
2 * 3 = 6 6 * 3 = 18 18 * 3 = 54
Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.
1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15