Kamil has 72 baseball cards. He wants to put the cards

A model rocket is launched with an initial velocity of 240 ft/s. The height, h, in feet, of the rocket t seconds after the launc

Setler [38]

Answer:

About 1.85 seconds and 13.15 seconds.

Step-by-step explanation:

The height (in feet) of the rocket t seconds after launch is given by the equation:

$h = -16t^2 + 240 t$

And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.

Thus, let h = 390 and solve for t:

$390 = -16t^2 +240t$

Isolate:

$-16t^2 + 240 t - 390 = 0$

Simplify:

$8t^2 - 120t + 195 = 0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}$

In this case, a = 8, b = -120, and c = 195. Hence:

$\displaystyle t = \frac{-(-120)\pm \sqrt{(-120)^2 - 4(8)(195)}}{2(8)}$

Evaluate:

$\displaystyle t = \frac{120\pm\sqrt{8160}}{16}$

Simplify:

$\displaystyle t = \frac{120\pm4\sqrt{510}}{16} = \frac{30\pm\sqrt{510}}{4}$

Thus, our two solutions are:

$\displaystyle t = \frac{30+ \sqrt{510}}{4} \approx 13.15 \text{ or } t = \frac{30-\sqrt{510}}{4} \approx 1.85$

Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.

4 0

3 years ago

Let f(x) = 2x +5 and g(x) = x2 - 8x + 15. Perform f(x) · g(x) HELP

LekaFEV [45]

-16x^2-10x+75
Answer^

5 0

3 years ago

The base is a 45 45 90 triangle with a leg of 5 in. The height is 1.8 what’s the volume of the prism

hjlf

brainly.com/question/3774542 Try this it might help

6 0

4 years ago

What is the function f(x)=4^x-6

omeli [17]

Please be more specific. What do you want to know?

4^x is an exponential function with base 4 and exponent x; its graph is entirely above the horizontal axis, and the curve representing 4^x continues to rise as x increases. Its y-intercept is (0,4^0), or (0,1).

3 0

4 years ago

tim has 74 socks, that are white or black. he has 1 more pair of white socks than black socks. how many individual socks of each

MAXImum [283]

Tim owns 74 socks, the colours of which are unknown.

He does, however, have an additional pair that is white rather than black.

Therefore, it suggests that we are working with the two hues white and black.

The result of dividing the total number of socks by two is:

= 74/2

= 37 socks, two pairs each for black and white.

But let's not forget that Tim has a pair of white socks in addition to his black pair.

The total number of white socks is equal to= 37+1= 38 socks.

Total black sock pairs= 37-1=36 socks.

Last but not least, the question asks us to count the number of single socks rather than pairs.

For white then:

There will be = (38x 2) socks per pair.

= 76 socks

For Black

The individual socks will be = (36 × 2)socks

= 72 socks

We can then deduce that there are 76 individual socks for white and 72 individual socks for black.

<h3>How many pairs of socks must you take to find a matching pair?</h3>

The solution would have to be four. Despite the large number of socks in the drawer, there are only three different colours, so if you take four socks, you will undoubtedly find at least one pair that matches.

To learn more about pair of socks visit:

brainly.com/question/15162655

#SPJ4

4 0

1 year ago