Positive negative square root of 50

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

What number multiplied by 3/5 has a product of 1

Fofino [41]

Answer:

1.66666667

Step-by-step explanation:

Just reverse it

3/5 which equals to .60

divide 1 by .60 which should give u ur answer 1.66666667

5 0

3 years ago

write a function that has a greater rate of change than one function but a smaller rate of change than the other function

LenaWriter [7]

The function y = 5x has a rate of change that is in between the equation y = 4x and y = 6x.

In an equation, the rate of change is also called the slope. It is the amount that a number is increasing by. We put that value in front of the x in most equations.

In the equal that I gave, the 5 is in between the rates of 4 and 6.

4 0

3 years ago

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,00

ss7ja [257]

Answer:

The test statistics is $z = -1$