Answer:
5×10⁻²
Step-by-step explanation:
- Move the decimal so there is one non-zero digit to the left of the decimal point.
- The number of decimal places you move will be the exponent on the 10. a. If the decimal is being moved to the right, the exponent will be negative.
b. If the decimal is being moved to the left, the exponent will be positive.
- Therefore. The answer is 5×10⁻²
Answer:
156 sq. units
Step-by-step explanation:
divide the prism into 2D shapes using the net. Then, use the numbers to find the length and width. Multiply the length and width of each 2D shape. Finally, add all the numbers you got to get the sum of 156 sq. units.
Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
