Answer:
Only options, A and E give 625/n¹² on simplification. The other options do not apply.
(5n⁻³)⁴ = (625/n¹²)
(25n⁻⁶)² = (625/n¹²)
Step-by-step explanation:
625/n¹²
a) (5n⁻³)⁴
According to the law of indices, this becomes
(5⁴)(n⁻³)⁴ = 625(n⁻¹²) = 625/n¹²
This applies!
b) (5n⁻³)⁻⁴
According to the law of indices, this becomes
(5⁻⁴)(n⁻³)⁻⁴ = (n¹²)/625 = n¹²/625
Does Not apply!
c) (5n⁻⁴)³
This becomes
(5³)(n⁻⁴)³ = 125n⁻¹² = 125/n¹²
Does Not apply!
d) (25n⁻⁶)⁻²
This becomes
(25⁻²)(n⁻⁶)⁻² = n⁻¹²/625 = 1/(625n¹²)
Does Not apply!
e) (25n⁻⁶)²
This becomes
(25²)(n⁻⁶)² = 625n⁻¹² = 625/n¹²
This applies!
Answer:
17.5
Step-by-step explanation:
Since the 6 behind the number being rounded is 5 or above, then you round up. If it was 4 or below you wouldn't.
Hope it helps!
Answer:
I got (y-7)=1/13(x+6) for point slope
and y=1/3x+13 for slope intercept form
double check me though I'm new at this
Answer:
1)
Horizontal asymptote states that the graph of a function approaches but never touches.
Therefore, the equation of the line for its asymptote is, y = -2.
2)
here, parent function .
Vertical shifts: To translate the function f(x) vertically, you can use the function g(x) = f(x) + k
if:
- k > 0, the graph of f(x) translated k units up.
- k < 0 , the graph of f(x) translated k units down.
As you can see in the graph as shown below the parent function is translated 2 units down to get g(x).
i.e,
.
Therefore, the function is the transformation of the parent functionf(x).
1953-1944=9 years (that's the years)
9 months between them
thus she was 9 years and 9 months