All categories

2 years ago

The graph represents the height y, in meters, above the ground of a golf ball x seconds after it is hit.

Mathematics

1 answer:

Kaylis [27]2 years ago

7 0

Answer:

For up to 5.5 s after the golf ball is hit, its height is increasing

The golf ball is in the air for 11 s

The maximum height of the golf ball is 150 m.

Step-by-step explanation:

we know that

The graph shown a vertical parabola open downward

The vertex is a maximum

The vertex is the point (5.5,150) ---> that means

For t=5.5 s, the height of a golf ball is h=150 m

<em>Verify each statement</em>

case A) For up to 5.5 s after the golf ball is hit, its height is increasing.

The statement is true

For the interval (0,5.5) ------> the height is increasing

For the interval (5.5,11) ------> the height is decreasing

case B) It takes 11 s for the golf ball to fall to the ground after reaching its maximum height

The statement is false

It takes 5.5 s for the golf ball to fall to the ground after reaching its maximum height

case C) The golf ball is in the air for 11 s

The statement is true

For t=11 s the golf ball fall to the ground (h=0)

case D) The maximum height of the golf ball is 150 m.

The statement is true

The maximum height of the golf ball is at the vertex of the parabola

The vertex is the point (5.5,150)

case E) The golf ball's speed is 11 m/s

The statement is false

You might be interested in

Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

fenix001 [56]

Answer: THE GRAPH IS ATTACHED.

Step-by-step explanation:

We know that the lines are:

$x + 3y=-3$

$y = \frac{1}{2} x + 1$

Solving for "y" from the first line, we get:

$3y=-x-3\\\\y=-\frac{x}{3}-1$

In order to graph them, we can find the x-intercepts and the y-intercepts.

For the line $x + 3y=-3$ the x-intercepts is:

$0=-\frac{x}{3}-1\\\\(1)(-3)=x\\\\x=-3$

And the y-intercept is:

$y=-\frac{0}{3}-1\\\\y=-1$

For the line $y=\frac{1}{2} x + 1$ the x-intercepts is:

$0=\frac{1}{2} x + 1\\\\-1(2)=x\\\\x=-2$

And the y-intercept is:

$y=\frac{1}{2} (0)+ 1\\\\y=1$

Now we can graph both lines, as you can observe in the image attached (The symbols and $>$ indicates that the lines must be dashed).

By definition, the solution is the intersection region of all the solutions in the system of inequalities.

6 0

2 years ago

Read 2 more answers

Mixed numbers between 0 and 2 with an interval of 1/3 between each pair of mixed numbers

Marysya12 [62]

A mixed number is a whole number plus a fraction.The smallest whole number is 1.So no mixed number can be less than 1.
Mixed numbers that are 1/3 apart and are between 0 and 2
could be (1-1/3) and (1-2/3).
They could also be (1-1/6), (1-1/2), and (1-5/6) .

3 0

2 years ago

Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card. What is the probability that

professor190 [17]

Answer:

Therefore, the probability is P=3/32.

Step-by-step explanation:

We know that Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.

We calculate the probability that he pulls out a 3 first and then pulls out a 2 without replacing them.

The probability that he pulls out a 3 first is 3/8.

The probability of a second card being 2 is 2/8.

We get:

$P=\frac{3}{8}\cdot \frac{2}{8}\\\\P=\frac{6}{64}\\\\P=\frac{3}{32}$

Therefore, the probability is P=3/32.

7 0

2 years ago

A ball is drawn at random from a container that holds 8 yellow balls numbered 1 to 8, 6 orange balls numbered 1 to 6, and 10 gra

Margarita [4]

A)

total of balls = 8+6+10= 24 balls

3/24= .125 and it is 12.5 % that one of the orange balls is 5 because it is an odd number.

B)

4/24 =.167 0r 16.7% that of the gray balls is numbered 8.

6 0

2 years ago

Using four or more complete sentences, contrast race and ethnicity and provide an example of each.

Brums [2.3K]

Answer:

Race and Ethnicity are considered to be social constructs that enable humans to be grouped or categorized. They are sometimes used interchangeably but most argue that they are different and give them different definitions.

Race is generally used to refer to people that have the same physical characteristics such as skin color or the same texture of hair for instance Black and White/Caucasian.

Ethnicity on the other hand relates to people sharing a common culture, language, nation, and/ or tribal heritage for instance, the English, the Irish and the Igbo.

8 0

2 years ago

Read 2 more answers