Answer:
(√9)^2x-1/2 = 1/81
3^2x-1/2 = 1/(3)⁴. (as √9 = 3)
3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)
as base are equal exponents are equal
so 3 gets cancelled out
2x-1/2 = -4
(4x-1)/2 = -4
4x-1 = -8
x = -7/4
hope this helps
Step-by-step explanation:
Answer:
<em>The slowest train goes at 86 mph and the fastest train goes at 96 mph.</em>
Step-by-step explanation:
<u>Distance and Speed</u>
Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.
The distance is calculated as:
d = vt
Where v is the speed and t is the time.
The distance traveled by each train in 5 hours is:
Slowest: 5x
Fastest: 5(x+10)
The sum of both distances is 910 miles:
5x + 5(x + 10) = 910
Operating:
5x + 5x + 50 = 910
10x = 910 - 50 = 860
x = 860/10
x = 86
The slowest train goes at 86 mph and the fastest train goes at 96 mph.
lets x represent the number
the answer will be : 2x-9
Answer: The ratios are both identical. (Choice A)
Why does this answer work?
Well let's refer to the diagram below.
Angle x has side 12 opposite it and the hypotenuse is 13.
This means sin(x) = opposite/hypotenuse = 12/13
Also, angle y has side 12 adjacent to it, meaning,
cos(y) = adjacent/hypotenuse = 12/13
Both trig ratios result in 12/13 and we can say sin(x) = cos(y)
One last thing to notice is that x+y = 90
In other words, if x+y = 90, then sin(x) = cos(y)
Phrased a slightly different way: if x+y = 90, then sin(y) = cos(x)
Answer:
$9288.18
Step-by-step explanation:
She has P = 8500 dollars to deposit for t = 3 years and it's compounded n = 1 times per year. So this means the final amount A is...
A = P*(1+r/n)^(n*t)
A = 8500*(1+0.03/1)^(1*3)
A = 8500*(1.03)^3
A = 8500*(1.092727)
A = 9288.1795
A = 9288.18
