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ioda
3 years ago
11

F(x)=9x^2+7x-13 describe the behavior

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

hob

Step-by-step explanation:

jbibou

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See question in attached photo.<br>Answer question 4b and 5c​
sdas [7]

9514 1404 393

Answer:

  4b: 8.6 m/s²; 1.3×10^5 N; 2.1×10^4 N decrease

  5c: -1.6×10^12 J; -1.6×10^12 J

Step-by-step explanation:

<h3>4b</h3>

i) The acceleration due to gravity is inversely proportional to the square of the distance between the objects. The distance to the shuttle is ...

  1 + (5×10^5)/(6.4×10^5) = 69/64 . . . times the radius of the earth

Then the acceleration due to gravity at the height of the space shuttle is about ...

  (10 m/s²)(64/69)² ≈ 8.6 m/s²

__

ii) The weight of the space shuttle at that height is about ...

  F = ma = (15000 kg)(8.6 m/s²) ≈ 1.3×10^5 N

__

iii) The loss of weight will be ...

  ΔF = m(a1 -a0) = (15000 kg)(10 m/s² -8.6 m/s²)

  = 1.5×10^4×1.4 N = 2.1×10^4 N

____

<h3>5c</h3>

i) The gravitational potential energy is given by ...

  U = -GMm/r

where M and m are the mass of the earth and the rocket, respectively.

  U = -(6.67×10^-11)(6.0×10^24)(2.5×10^4)/(6.4×10^6) ≈ -1.6×10^12 J

__

ii) At a height of 3×10^4 m, the denominator in the above expression changes from 6.4×10^6 to 6.43×10^6. This changes the gravitational potential energy by a factor of 6.4/6.43 to -1.6×10^12 J

(Note: we're carrying only 2 significant figures in the result in accordance with the rules for precision in such calculations. The change is noticeable at the level of the 4th significant figure, less than 1/2%.)

4 0
3 years ago
Together donkey and Shrek can make 7 cupcakes in 12 mins. Shrek can make 2 cupcakes in 8 mins. How long will it take Donkey to m
katrin [286]
Multiply 7 x 12 which is 84, 8x2 is 16, 16 divded by 3 is 5, so 5 minutes
3 0
3 years ago
Help with question 1 &amp; 2 pls .
Anastasy [175]

Answer:

1. (c)

2. (c)

Step-by-step explanation:

7 0
3 years ago
What is the slope of the line shown in the graph below?
Flauer [41]
Slope = (y2-y1)/(x2-x1)
The points: (2,0) and (0,3)
(3-0)/(0-2) = 3/-2 = -3/2
The solution is -3/2
4 0
3 years ago
Read 2 more answers
Jeff must do a book report. He reads 3 pages of his book in 13 minutes. He reads 9 pages of his book in 39 minutes. He reads 15
svlad2 [7]
Do you see a pattern in the given information?
 3 pages in 13 min
 9 pages in 39 min
15 pages in 65 min

the rate of pages per min is constant
3/13 = 9/39 = 15/65

the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.

Units cancel out just like numbers do so you know that the problem is set up correctly.

(351 pages) * ( \frac{13min}{3pages})=1521 .minutes

7 0
3 years ago
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