Answer:
<u>B. (3,25)</u>
Step-by-step explanation:
x = level of the video game
y = number of points
At level 1, a player has 5 points.
At level 2, the player has 5 + 10 = 15 points
Therefore, we can use the function notation this way:
f(x) = 5x + 10
<u>The only ordered pair given that is from this function is:</u>
<u>B. (3,25)</u>
<u>f(3) = 5 * 3 + 10 </u>
<u>f(3) = 15 + 10 = 25</u>
The remaining three don't represent this function.
I believe this is a rotation through an angle of +90°, anticlockwise, (counterclockwise), with the center of rotation origin(0,0)
To describe rotation we give the center of rotation and the rotation angle in degrees stating whether it is clockwise or counterclockwise.
(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where

then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,

(b) The velocity after 3 seconds is

(c) The particle is at rest when its velocity is zero:

(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:

In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,

By definition of absolute value, we have

In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as

and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to

Answer:
9. 21
10. 70
11. 64
12. 31
13. 85
14. 31
double check the answer, i didnt use a calculator so might be wrong
The correct option is: B. 450
<u><em>Explanation</em></u>
Current value of the investment is
dollars and 30 years ago, the value of the investment was
dollars.
Suppose, the value of investment today is
times greater than the value of the investment thirty years ago.
So, the equation will be........

Thus, the value of the investment today is 450 times greater than the value of the investment thirty years ago.