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3 years ago

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Simplified radical form of 4800 feet how many seconds was the diver in a free fall? Using functions (t)=16t^2 models the distanc

e s (t), in feet , that an object falls in t seconds.

1 answer:

amm18123 years ago

5 0

Answer:

The diver will be in free fall for $10\sqrt{3}$ seconds.

Step-by-step explanation:

The distance in feet, that an object falls in t seconds is given by the function $h(t) = 16t^{2}$ .

Now, given that the height is 4800 feet and we have to calculate the number of seconds the diver was in a free fall.

Therefore, $4800 = 16t^{2}$

⇒ $t^{2} = \frac{4800}{16} = 300$

⇒ $t = \sqrt{300} = \sqrt{100 \times 3} = 10\sqrt{3}$ seconds.

Therefore, the diver will be in free fall for $10\sqrt{3}$ seconds. (Answer)

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7. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two

AlladinOne [14]

Answer:

f(g(x)) =

$\sqrt{8x \: - \: 13} \: + \: 9$

Step-by-step explanation:

f(x) =

$\sqrt{x} \: + \: 9$

g(x) = 8x - 13

f(g(x) =

$\sqrt{8x \: - 13} \: + \: 9$

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3 years ago

Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

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Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

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3 years ago

If college tuition and fees, room and board, books, and other charges total $10,154, what is a reasonable savings goal for a fam

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3 years ago

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

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Finally:

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3 years ago

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bulgar [2K]

Answer:

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Step-by-step explanation:

4(-3)-9y=-48

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y=4

x=-3

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3 years ago

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