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
Keith_Richards [23]
3 years ago
15

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball

in feet and t is the time seconds.
When will the ball hit the ground?
Mathematics
2 answers:
uranmaximum [27]3 years ago
5 0

Answer:

the ball hit the ground at t=6\ sec

Step-by-step explanation:

we have

h(t)=-16t^{2} +96t

This is the equation of a vertical parabola open downward

The vertex is a maximum

we know that

The x-intercept of the function is the value of t when the value of h(t) is equal to zero

The ball hit the ground when h(t) is equal to zero

equate the function to zero  and solve for t

0=-16t^{2} +96t

Factor the leading coefficient

-16t(t -6)=0

The solutions are

t=0, t=6\ sec

therefore

the ball hit the ground at t=6\ sec

andrew-mc [135]3 years ago
3 0
I guess the function is h(t) = -16t^2 + 96t (instead of f(t) )

When the ball hits the groung h(t) = 0

Then solve the equation for t

- 16t^2 + 96 t = 0

Divide by -16

t^2 - 6t = 0

t(t-6) = 0

t =0  is when the ball is kicked off

t = 6 is the answer.
You might be interested in
An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an
igomit [66]

Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

P(e_1)=0.90*0.67=0.603

2) Left knee unsuccessful and right knee successful (X=1).

P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067

3) Right knee unsuccessful and left knee successful (X=1).

P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297

4) Both surgeries are unsuccessful (X=0).

P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033

Then, the mean can be calculated as the expected value:

M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57

The variance can be calculated as:

V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111

3 0
4 years ago
Solve the following: S5 for 600 + 300 + 150 + .
Tresset [83]
600 + 300 + 150 + . . . is a geometric sequence with a = 600 and r = 1/2
Sn = a(1 - r^n)/(1 - r)
S5 = 600(1 - (1/2)^5)/(1 - 1/2) = 600(1 - 1/32)/(1/2) = 1,200(31/32) = 1,162.5
8 0
3 years ago
What is the root of this equation? <br>2x^2 - 4x + 9 = 0​
faust18 [17]

Answer:

x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

Step-by-step explanation:

Solve for x:

2 x^2 - 4 x + 9 = 0

Divide both sides by 2:

x^2 - 2 x + 9/2 = 0

Subtract 9/2 from both sides:

x^2 - 2 x = -9/2

Add 1 to both sides:

x^2 - 2 x + 1 = -7/2

Write the left hand side as a square:

(x - 1)^2 = -7/2

Take the square root of both sides:

x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

Answer:  x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

4 0
4 years ago
Can you please help me??!
MakcuM [25]

Answer:

Angle A-    -3, 2

Angle B-     0, 1

Angle C-     0, -2

3 0
3 years ago
What are the integer solutions to the inequality below?<br> -1 &lt; x &lt; 3
alexandr1967 [171]
Thirty seven thousand
4 0
3 years ago
Other questions:
  • The average weight for the five starting offensive linemen of the Charlotte Panthers is 300 pounds. The heaviest starter gets in
    5·2 answers
  • The equation v/2 -21=-15 is solved in several steps below.
    15·1 answer
  • What is the unit rate in the equation: c = 3b
    7·1 answer
  • What is the terminating decimal for 11/15
    10·1 answer
  • Halla los cocientes y los restos de estas divisiones de polinomios pordos procedimientos diferentes
    9·1 answer
  • What is -3y-y equal to
    6·2 answers
  • Translate the following algebraic inequality into a verbal inequality.<br> 2x +6 &gt; 20
    15·1 answer
  • Hi can someone pls sub to my friend her channel name is mxcurie and she does gacha memes she is really underrated pls go sub to
    12·2 answers
  • The sum of Veronika's and Kate's weight is 118 pounds. Veronika weighs 26 pounds more than Kate. How much do they weigh individu
    9·1 answer
  • What is [70+(-30)]+[2+(-9)]+[0.3+(-0.1)]
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!