Answer:
Step-by-step explanation:
x^3 + x^2 - x + 2 \ x + 4 = x^2 -3x + 11 - 42/(x+4)
2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer:
16.68 cm
Step-by-step explanation:
Given that :
Mean , m = 15
Standard deviation, s = 2
Length of salamander that would Place it at 80% of salamander length :
P(Z ≤ x) = 0.8
Zscore equivalent to 0.8 = 0.842
Using the relation :
Zscore = (x - m) /s
0.842 = (x - 15) / 2
1.684 = x - 15
Add 15 to both sides
1.684 + 15 = x - 15 + 15
16.684 = x
Hence, x = 16.68 cm
Answer:
see explanation
Step-by-step explanation:
sinΘ is only valid for values in the interval
- 1 ≤ Θ ≤ 1
sinΘ = is outwith this interval and is not valid
Answer:
$138,345
Step-by-step explanation:
This is a compound decline problem, which will be solve by the compound formula:
Where
F is the future value (value of house at 2030, 14 years from 2016)
P is the present value ($245,000)
r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)
t is the time in years (2016 to 2030 is 14 years, so t = 14)
We substitute the known values and find F:
Rounding it up, it will be worth around $138,345 at 2030