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r-ruslan [8.4K]
2 years ago
8

Help please??????????????

Mathematics
2 answers:
11111nata11111 [884]2 years ago
8 0

Answer:

9.8

Step-by-step explanation:

a geometric sequence means we multiply the previous element by a certain factor to get the next element.

so, all we need to do is determine the factor used to go from one element in the list to the next.

a1 = 9

a2 = 88.2

a3 = 864.36

a4 = 8470.728

the simplest case is usually the case from a1 to a2.

a2 = a1×f

88.2 = 9×f

f = 88.2/9 = 9.8

we are finished here.

but we can control our result and verify with the other given elements.

88.2 × 9.8 = 864.36

and that is a3. fits.

864.36 × 9.8 = 8470.728

and that is a4.

so, all fits, we are correct.

levacccp [35]2 years ago
7 0

Answer:

the common ratio is 9.8

just divide the term with it's previous term

eg. 88.2/9 , 864.36/88.2

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sattari [20]
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east.  Then we can say that there positions, y and x are:

y=150-600t  x=200-800t

By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:

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d^2=(150-600t)^2+(200-800t)^2

d^2=22500-180000t+360000t^2+40000-320000t+640000t^2

d^2=1000000t^2-500000t+62500

d=√(1000000t^2-500000t+6250)

So the rate of change is the derivative of d

dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)

dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)

So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...

...

To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...

1000000t^2-500000t+62500=0

6250(16t^2-8t+1)=0

6250(16^2-4t-4t+1)=0

6250(4t(4t-1)-1(4t-1))=0

6250(4t-1)(4t-1)=0

6250(4t-1)^2=0

4t-1=0

4t=1

t=1/4 hr

Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)


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2 years ago
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An exponential function wouldn't be x^2, it would be 2^x! Or 3^x, or (1.738283)^x, etc. Therefore, D is eliminated.

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2 years ago
The width of the rectangle is 7 feet, and the diagonal length of the rectangle is 16 feet. which measurement is the closest to t
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14ft

3 0
3 years ago
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Answer:

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Step-by-step explanation:

mark me brainlist

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2 years ago
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