1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
3 years ago
7

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

it. How long does Amy have to react, before the volleyball hits the ground? Round your answer to two decimal places.
Mathematics
1 answer:
Lena [83]3 years ago
3 0

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.

You might be interested in
Solve the equation 3 - 4-587<br> 3.87<br> b. 0.55, -0.55<br> a.<br> C. 1.53,-1.53<br> d. 4.98
dexar [7]
Answer: X = 0


Let me know if it’s correct
8 0
3 years ago
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
3 years ago
5. At Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12 were selected and of the 40 boys who tried o
kondaur [170]
For the girls:

12:30

Simplifying it, we get:

6: 15
2: 5

For the boys:

16:40

Simplifying it, we get:

8:20
4:10
2:5

So yes, the ratios are both the same for boys and girls.
4 0
3 years ago
Explain how you got your answer please :
liraira [26]
X is the number of hours studied, so replace x with 3 in the equation:

y = 6.8(3) + 60
y = 20.4 + 60
y = 80.4

Round down to 80.

The answer would be A.
3 0
3 years ago
Find the value of the trigonometric ratio: tan X.
serious [3.7K]

Answer:

The value of the trigonometric-ratio:

  • Tan X = 24 / 7

Step-by-step explanation:

Given the angle X

It is clear that:

  • The opposite of the angle X = 48
  • The adjacent to the angle X = 14

We know that the trigonometric-ratio of Tan X is defined as

Tan X = Opposite / Adjacent

substituting Opposite = 48, and Adjacent = 14

Tan X = 48/14

Tan X = 24 / 7

Therefore, the value of the trigonometric-ratio:

  • Tan X = 24 / 7
4 0
3 years ago
Other questions:
  • What is 36 times 34 times pi?
    10·1 answer
  • Has an = sign<br><br> i'm just trying to pass and get this deffinition
    10·1 answer
  • A shirt that normally costs $30 is on sale for $21.75. What percent of the regular price is the sale price?
    15·1 answer
  • What’s the area? Please help
    10·1 answer
  • What is the sum of the complex numbers below? 4−7i and −3+5i
    10·1 answer
  • The graph of a function is shown:
    8·2 answers
  • if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area
    5·1 answer
  • !WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!!
    10·2 answers
  • How fast does Santa's sleigh travel how fast would Santa have to travel to get to every house in the UK in m/s the average dista
    7·1 answer
  • Ben's living room is a rectangle measuring 11 yards by 204 inches. By how many feet does feet does the length of the room exceed
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!