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
exis [7]
3 years ago
6

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? (1 point)
t = 1.5; it takes 1.5 seconds to reach the maximum height of 48 meters
t = 3; it takes 3 seconds to reach the maximum height of 48 meters
t = 3; it takes 3 seconds to reach the maximum height of 36 meters
t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

Last one

t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.

Step-by-step explanation:

h(t) = −16t² + 48t

h(t) = -16(t² - 3t)

h(t) = -16(t² - 2(t)(1.5) + 1.5² - 1.5²)

h(t) = -16(t - 1.5)² + 36

Axis of symmetry:

t = 1.5

Max height = 36

You might be interested in
A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle
s344n2d4d5 [400]

Answer: Length = 15 meters

Width = 2 meters

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 34 ...... i

l × w = 30 ........ ii

From equation i

2l + 2w = 34

Divide through by 2.

l + w = 17 ...... iii

Then, l = 17 - w ........ iv

Put equation iv into ii

l × w = 30

(17 - w) × w = 30

17w - w² = 30

w² - 17w + 30 = 0

w² - 15w - 2w + 30 = 0

w(w - 15) - 2(w - 15) = 0

(w - 2) = 0

w = 0 + 2 = 2

w - 15 = 0

w = 0 + 15 = 15

Length = 15 meters

Width = 2 meters

6 0
3 years ago
Write the trigonometric expression sin(sin−1u−tan−1v) as an algebraic expression in u and v. Assume that the variables u and v r
igomit [66]

Answer:

[u – v√(1 – u²)]/√(1 + v²)

Step-by-step explanation:

Let sin^-1(u) = A, therefore sinA = u.

We know that sin(theta) = opposite/hypothenuse

Therefore, sinA = u/1 and u is the opposite side to angle A while 1 is the hypotenuse. Draw an acute triangle placing u opposite to angle A and 1 as the hypotenuse. By Pythagoras theorem the adjacent would be √(1 – u²).

By doing this, it means cosA = adjacent/hypotenuse = √(1 – u²)/1 = √(1 – u²)

Also, let tan^-1(v) = B, therefore tanB = v.

We know that tan(theta) = opposite/adjacent

Therefore, tanB = v/1 and v is the opposite side to angle B while 1 is the adjacent. Draw an acute triangle placing v opposite to angle B and 1 as the adjacent. By Pythagoras theorem the hypothenuse would be √(1 + v²).

Therefore, sinB = opposite/hypotenuse = v/√(1 + v²) and cosB = adjacent/hypotenuse = 1/√(1 + v²)

Now,

sin[sin^–1(u) – tan^–1(v)] =

sin(A – B) =

sinAcosB – sinBcosA =

u[1/√(1 + v²)] – [v/√(1 + v²)][√(1 – u²)] =

[u/√(1 + v²)] – [v√(1 – u²)/√1 + v²)] =

[u – v√(1 – u²)]/√(1 + v²).

8 0
3 years ago
How could you graph an inequality like this x>3?
Firlakuza [10]

Answer:

  see below

Step-by-step explanation:

The graph of it on a number line is an open circle at x=3 with a line extending to the right through larger numbers.

When the inequality does not include the "or equal to" case, the boundary is graphed as a dashed line (on an x-y plane) or open circle (on a number line). The shaded area covers values of the variable that meet the condition of the inequality. Here, those are values of x that are more than 3.

6 0
3 years ago
F(x)= 3x +15 reflect over the X axis what is the y intercept
Alona [7]

Answer:

y is 15 x is 3

Step-by-step explanation:

4 0
3 years ago
Prove: An odd number squared is an odd number. = (2n + 1)2 ​
Mnenie [13.5K]

Answer:

{(2n + 1)}^{2}  = 4 {n}^{2}  + 4n + 1 = 2(2 {n}^{2}  + 2n) + 1

4 0
2 years ago
Other questions:
  • Jordan is mailing a package at the post office. The box measures 8 3/4 inches long, 2 1/2 inches wide, and 5 1/4 inches high. Wh
    7·1 answer
  • * don’t mind the marks* please help asap ( 10 points)
    5·2 answers
  • What is the value of 8 in the number 0.837
    11·2 answers
  • How can polygons be considered a subcategory of two-dimensional figures? PLEASE HELP THIS IS DUE TOMORROW!!!!!!!!!
    14·1 answer
  • Which best describes the angles of some parallelograms?
    7·2 answers
  • HELP NEEDED!!!!
    5·1 answer
  • A slide 4.1 meters long makes an angle of 35º with the ground. To the nearest tenth of a meter, how far above the ground is the
    8·1 answer
  • What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft?
    7·1 answer
  • The question is in the picture
    11·1 answer
  • What is 15 times 3 by 7
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!