Answer:
Percentage loss of the number of trees is 
.
Step-by-step explanation:
Given: After a storm, 
trees out of 
were left standing.
To find: What is the percentage loss of the number of trees?
Solution:
We have,
Total number of trees 
Number of trees left standing 
Therefore, loss of trees
We now that 
Hence, the percentage loss of the number of trees is .
Answer:
32,432,400
Step-by-step explanation:
This you can use a permutation.
P(15,7)15x14x13x12x11x10x9
There are 32,432,400 ways to arrange it.
For f(x), which has a vertex at (2,0), the y-intercept at (0,4) is above this vertex, so the parabola opens upward. This means that the vertex is the only point that touches the x-axis, so there is only 1 x-intercept.
For h(x), the graph does not have any x-intercepts.
For g(x) = x^2 + x - 2 = (x+2)(x-1), this intersects the x-axis at x = -2 and x = 1, so there are 2 x-intercepts.
From least to greatest: h(x), f(x), g(x).
Answer:
Answer: 13.4 m
Step-by-step explanation:
For small angles, x, in radians,
tan(x) ≈ sin(x) = x
Use this to create an approximate diagram for the problem as shown in the figure below.
The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.
The extend length is 3 km + 12 cm, which is
3000 + 0.12 = 3000.12 m
Half of the extended length is 1500.06 m
Let h+ the rise of the center of the rail above ground.
From the Pythagorean theorem, obtain
h² + 1500² = 1500.6²
h² = 1500.06² - 1500² = 180.004
h = 13.4 m, which is about 0.9% of the original length.
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The given expression is:
![\sqrt[4]{ 9^{ \frac{1}{2}x } }](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%209%5E%7B%20%5Cfrac%7B1%7D%7B2%7Dx%20%7D%20%7D%20%20)
4th root is equivalent to raising the expression to power
. So, re-writing the expression by converting radical to exponent:
Therefore, the given expression simplifies to 
