If realistic limits are imposed on the choices I would go with 1000 ft. For the angle of elevation I would chose 34°. This because as we know an angle of elevation is the angle between the observer's’ line of sight and a horizontal line when the observer looks upward.
If you wanted to find the height of the cliff you would use the following:
Tan34 = x/1000
x = tan(34)*1000
x = 674.51 ft.
I hope this helps, Regards.
b)10x = y
c)10y = x
Answer:
x +46
Step-by-step explanation:
4(-8x+5)-(-33x-26)=
Distribute
-32x+20 +33x +26
Combine like terms
x +46
Answer:
x+46
Step-by-step explanation:
-32x+20+33x+26=
x+20+26=
x+46
Step-by-step explanation:
These are all examples of p-series:
∑(1 / nᵖ), where p>0.
If p > 1, the series converges. If 0 < p ≤ 1, the series diverges.
First option:
∑(1/n⁵)
Here, p = 5. Since 5 > 1, the series converges.
Second option:
∑((√n+3)/n³)
∑((√n)/n³) + ∑(3/n³)
∑(1/n^2.5) + 3 ∑(1/n³)
In the first sum, p = 2.5. In the second sum, p = 3. Both are greater than 1, so the series converges.
Third option:
∑((n−4)/(n⁴√n))
∑(1/(n³√n)) − ∑(4/(n⁴√n))
∑(1/n^3.5) − 4 ∑(1/n^4.5)
In the first sum, p = 3.5. In the second sum, p = 4.5. Both are greater than 1, so the series converges.
Fourth option:
∑(1/∛n)
∑(1/n^⅓)
Here, p = ⅓. This is less than 1, so the series diverges.
Note: if a series is converging, then the limit is 0.
However, if the limit of a series is 0, it does not necessarily mean that series is converging.
Here, the limit of all 4 options is 0. However, the fourth option is a diverging series.
A. 8+2
B. 10- 2
C. 7+3
D.9+4
o f(x) = -x-2
o f(x) = x + 2
Answer:
It's the first one. -x+2
Step-by-step explanation:
The slope is negative and the line intersects the y-intercept at positive 2.