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3 years ago

What is the solution of...

Mathematics

2 answers:

Ivanshal [37]3 years ago

5 0

There is no solution, so the last one

Nadya [2.5K]3 years ago

3 0

X=2 or x=3 is the answer

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Patricia serves the volleyball to Amy with an upward velocity of 17.5ft/s. The ball is 5 feet above the ground when she strikes

Lena [83]

t = 1.33 sec

Solution:

Given data:

Velocity $(v_0)$ = 17.5 ft/s

Height $(h_0)$ = 5 ft

The height can be modeled by a quadratic equation

$h(t)=-16t^2+v_0t+h_0$

where h is the height and t is the time

$h(t)=-16t^2+17.5t+5$

$-16t^2+17.5t+5=0$

a = –16, b = 17.5, c = 5

It looks like a quadratic equation. we can solve it by quadratic formula,

$$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$$\Rightarrow t=\frac{-17.5 \pm \sqrt{(-17.5)^{2}-4\times (-16)(5)}}{2 (-16)}$

$$\Rightarrow t= \frac{-17.5 \pm \sqrt{306.25+ 320}}{-32}$

$$\Rightarrow t= \frac{-17.5 \pm 25.025}{-32}$

$$\Rightarrow t= \frac{-17.5 - 25.025}{-32}, \ t= \frac{-17.5 + 25.025}{-32}$

$$\Rightarrow t= 1.33, \ t= -0.24$

Time cannot be in negative. So neglect t = –0.235.

t = 1.33 sec

Hence Amy have to react 1.33 sec before the volleyball hits the ground.

3 0

3 years ago

Simplify the expression<br> 2/5y - 4 + 7 - 9/10y

Zina [86]

3- y/2 is your correct answer

6 0

3 years ago

Read 2 more answers

After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

$t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

$t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec$

therefore

The ball will take 4.05 seconds to hit the ground.

4 0

3 years ago

What is the ratio 1.12 turned in to a fraction in simplest form?

Nitella [24]

$x=1.121212...\ \ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=112.121212...\\\\100x-x=112.121212...-1.121212...\\\\99x=111\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=\dfrac{111:3}{99:3}\\\\x=\dfrac{37}{33}\\\\x=1\dfrac{4}{33}\\\\Answer:\boxed{1.121212...=1\frac{4}{33}}$

5 0

4 years ago

How to divide 2 into 5/8?

levacccp [35]

It would be: 2 / 5/8
We can re-write it as: 2 * 8/5 = 16/5

So, your final is 16/5 or 3.2

Hope this helps!

3 0

3 years ago