The charity will receive $ 11
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Solution:</u></h3>
Ken earned $176 from his part-time job this summer
Amount earned = $ 176
He spent 25% of his money on games
Therefore,
Money spent on games = 176 - 25 % of 176
He is going to donate 1/4 of the remaining money to charity
Reamining amount = 176 - 132 = 44
Therefore,
Thus he gave $ 11 to charity
Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
We use the FOIL method here. First, Outer, Inner, and Last.
(5x)(x) = 5x^2
(5x)(-7) = -35x
(2)(x) = 2x
(2)(-7) = -14
5x^2 - 35x + 2x - 14
Now combine like terms.
5x^2 - 33x - 14.
This is the right answer because it is now in the form of ax^2 + bx + c
An angle of depression is the angle of a slant to the upper horizontal line. The official definition is: <span>the </span>angle<span> formed by the line of sight and the horizontal plane for an object below the horizontal.
Thus, for this problem, we must use trigonometry. The tower is perpendicular to the upper horizontal and the ground, so after we draw a line connecting the points we get 90 - 63 = 27, which is one of the angles in the right triangle.
The other angles are ninety and 63. We wish to find the measure of the bottom of the triangle, so we use tangent which includes both legs.
Therefore, tan(27)=x/43. Plugging this into a calculator, we get roughly 21.9.
Hope this helped! It probably sounds a lot harder than it actually is without a picture.</span>
