x:200
x/200 =.2121212121...
200(x/200) = 200(.2121212121...)
x = 42.4242...
The expectation is that a player would achieve 42 hits over 200 at-bats.
We consider all workers as either full-time or part-time.
36 = 24 + 12
If there are 24 or fewer full-time workers, there must be at least 12 part-time workers. (This conclusion is based on the understanding of sums.)
You can formulate the inequality in two steps. First, present and resolve an equation for full-time workers in relation to part-time workers. Then, apply the specified limit on full-time workers. This results in an inequality that can be solved for part-time workers.
Let f and p represent full-time and part-time positions, respectively.
f + p = 36... given
f = 36 - p... subtract p to express f in terms of p.
f ≤ 24......... given
(36 - p) ≤ 24.... substitute for f. This gives your inequality in terms of p.
36 - 24 ≤ p.... rearranging gives p ≥ 12........ this is the solution to the inequality
D(2, –4) transforms to D' = (-4, 2)
E(1, –1) changes to E' = (-1, 1)
F(5, 1) shifts to F' = (1, 5)
What is the mathematical representation for a reflection over the line y = x?
rx = y(x, y) = (y, x)
Imagine a right triangle where vertex B is at the base of the hill, vertex S is at the top of the statue, and vertex Y represents your position. This triangle has a right angle at B, and angle Y measures 13.2°. Let h denote the height of the statue, making the lengths of sides YB and BS equal to 77 ft and 16+h ft, respectively.
With the lengths of two sides and one angle known, the height h can be determined using the tangent function:
ft.
Result: the height of the statue calculates to be 2.0565 ft.
Let's pick arbitrary numbers: suppose 1 unit of petroleum costs 100 bitcoins (because why not).
A 10% price rise makes it 100*1.1 = 110 bitcoins per unit.
If consumption falls by 10%, he now buys 0.9 units, so his expense is 110 * 0.9 = 99 bitcoins. Previously it was 100, so now it's 99. Therefore his petroleum spending has decreased by 1%