Answer:
See below
Step-by-step explanation:
17. 17x + 3 x=4 18. -2x + 1 / 3 x= -5
17(4) + 3 - [(2)(-5) + 1] / 3
68 + 3 - [-10 + 1] /3
71 9/3 or 3
19. 2x - 33 x=9 20. - 9x - 2 x=7
(2)(9) - 33 -(9)(7) - 2
18 - 33 -63 - 2
- 15 -65
21. 7/3x - 9 x=3 22. - [12x/5] x= -1
(7/3)(3) - 9 - [(12)( -1)/5]
7 - 9 - [ -12/5 ]
-2 2.4
23. 11x - 11 x = -11 24. (2/9)x - (9/2) x= 9
- 121 - 11 (2/9)(9) - (9/2)
-132 2 - (9/2) ( 2 can be shown as 4/2)
(4/2) - (9/2)
- 5/2 or - 2.5
25. f(x) = 0.12x + 4.52 x = 250 26. f(x) = 0.18x + 3.12 x= 175
= (0.12)(250) + 4.52 = (0.18)(175) + 3.12
= 30 + 4.52 = 31.50 + 3.12
= 34.52 = 34.62
Answer:
Step-by-step explanation:
This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.
We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of
In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that
d = 2r so
Now we can have the equation in terms of diameter instead of radius. Rewriting:
which simplifies to
and a bit more to
(the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.
Now let's look at the problem and see what we are given as far as information.
The rate at which the surface area changes is -3.8, and we are looking for 
, the rate at which the diameter is changing, when the diameter is 13. Filling in:
and solving for the rate at which the diameter is changing:
and divide to get
Obviously, the negative means that the diameter is decreasing.
there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.
IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)
This meant that for reflecting across the x axis, (x,y)->(x,-y)
For y axis its the opposite, just flipping to the side.
This meant that for reflecting across the y axis, (x,y)->(-x,y)
Answer:
The answer to question 5 is x = 23. The answer to question 6 is x = 17.
Step-by-step explanation:
Two Key Points:
- Angles on a straight line always add up to 180°
- The angles in the inside of a triangle add up to 180°
I have attached a picture showing how to do the two problems. I hope this helps!
A. The ratio of the person's shadow to their height is 6:2 or 3:1, so the height of the shadow is 360/3 or 120 m.
B. The model car's length divided by the ratio to the real car, which is 8.5/0.8 = 10.625 cm long.
