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inessss [21]
3 years ago
9

A thermometer falls from a weather

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

It will take 22 seconds for the thermometer to hit the ground.

Step-by-step explanation:

A thermometer falls from a weather balloon at a height of 7,744 ft.

This means that the initial height is of 7744ft.

h(t) = -16t2 + initial height

So

h(t) = -16t^2 + 7744

How many seconds will it take for the thermometer to hit the ground?

This is t for which h(t) = 0. So

0 = -16t^2 + 7744

16t^2 = 0 + 7744

t^2 = \frac{7744}{16}

t = \sqrt{\frac{7744}{16}}

t = 22

It will take 22 seconds for the thermometer to hit the ground.

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Mama L [17]

Answer:  We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

f(x)\rightarrow -\infty as x\rightarrow -\infty

And, f(x)\rightarrow +\infty  as  x\rightarrow +\infty

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write,  x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)

x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)

x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

Also, the y-intercept of the polynomial is ( 0,16)

Thus, we can plot the graph with help of the above information.




4 0
3 years ago
10cm 3mm - 4.8cm<br> I do not understand that well can someone please help no need to explain
OleMash [197]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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Vedmedyk [2.9K]

Answer:

x=-5, y=-2. (-5, -2).

Step-by-step explanation:

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----------------

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3 years ago
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Molodets [167]

Answer:

D (4,2)

Step-by-step explanation:

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7 0
2 years ago
For what value of p the equation [p-3]x²+4[p-3]+4=0
Vikentia [17]

Step-by-step explanation:

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