Answer:
4.25 × 10^-4
Step-by-step explanation:
0.00045-2.5x10^-5
= (4.5 × 10^-4) - (0.25 × 10¹ × 10^-5)
= (4.5 × 10^-4) - (0.25 × 10^{1-5} )
= (4.5 × 10^-4) - (0.25 × 10^-4)
= (4.5 - 0.25) × 10^-4
= 4.25 × 10^-4
Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
Solve what is in parenthesis first (5-9) = -4
Solve exponents next -4^3 = -64
Divide next
= -32
Lastly, subtract and resolve the negatives which become a positive number 125 - (-32) = 125 + 32 = 157
If <em>h(x)</em> is the inverse of <em>f(x)</em>, then by definition of inverse function, we have
<em>f(h(x))</em> = <em>x</em>
By definition of <em>f(x)</em>, composing <em>f</em> with <em>h</em> gives
<em>f(h(x))</em> = 2 <em>h(x)</em> - 10
Solve for <em>h(x)</em> :
<em>x</em> = 2 <em>h(x)</em> - 10
2 <em>h(x)</em> = <em>x</em> + 10
<em>h(x)</em> = (<em>x</em> + 10)/2
<em>h(x)</em> = <em>x</em>/2 + 5
So... whichever option most closely resembles this is the correct one. It's hard to tell exactly which one that would be.
Answer:
0.75
Step-by-step explanation:
P(A | B) = P(A and B) / P(B)
P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)
P(vanilla | sundae) = 0.15 / 0.2
P(vanilla | sundae) = 0.75
