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igomit [66]
2 years ago
6

During the landing of mars science laboratory curiosity, it was reported that the signal from the rover would take 14 minutes to

reach Earth. Radio signals travel at the speed of light, about 186,000 miles per hour. How far was Mars from Earth when Curiosity landed
Mathematics
1 answer:
ololo11 [35]2 years ago
6 0

Answer:

  156,240,000 miles

Step-by-step explanation:

The speed of light is about 186,000 mi/s. The distance is then ...

  (14 min)(60 s/min)(186,000 mi/s) = 156,240,000 mi

Mars was about 156 million miles from Earth.

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ASHA 777 [7]

Answer:

Step-by-step explanation:

3x + 6  = 2x

3x - 2x = -6

x = -6

4 0
3 years ago
Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

4 0
2 years ago
Please help!!!!!!!!!
saul85 [17]

Answer:

ascending order:

angle KLM

angle KML

angle LKM

Step-by-step explanation:

angle opposite to the largest side is the largest angle:

largest angle = angle LKM

angle opposite to the smallestest side is the smallest angle:

smallest angle = angle KLM

3 0
3 years ago
The pet store has 8 rabbits for sale. Each morning the owner feeds the rabbits a total of 2 cups of pellets. If each rabbits rec
Marysya12 [62]
Each rabbit receives 4 pellets
5 0
3 years ago
Read 2 more answers
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e
3241004551 [841]

Radius = r = 1 foot

Angular velocity = w = 1 revolutions in 4 seconds

So,

w = 0.25 revolutions per second

Since,

1 revolution = 2π radians

We can write the above equation as:

w = 0.25 x 2π radians per second = 0.5π radians per second

Linear Velocity = v = r w

Using the values, we can write:

v = 1 x 0.5π  

= 0.5 π

= π/2 feet per second

Therefore, the correct answer is option B

7 0
3 years ago
Read 2 more answers
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