All categories

3 years ago

The graph represents the height y, in meters, above the ground of a water balloon x seconds after it is dropped from a window.

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

6 0

The balloon is in the air for 3sThe max height is 44mThe max height occurs at x=0

kotegsom [21]3 years ago

5 0

Answer:

i)The maximum height of the water balloon occurs at x = 0.

iii) The water balloon travels at 3 m/s .

v)The maximum height of the water balloon is 44 m.

vi)The water balloon is in the air for 3 s.

Step-by-step explanation:

We are given the graph that represents height of a water balloon.

In the given graph, the x-axis represents the time (s) and the y-axis represents the height(m) of the ball.

From the given graph, we can interpret the following information.

i) when s = 0, the height of the ball is 44 meter which is the maximum height of the ball.

ii) when s = 3, the ball reaches the ground.

iii) The ball in the air from s = 0 to 3 seconds.

Therefore, the following statements are true:

i) The maximum height of the water balloon occurs at x = 0.

iii) The water balloon travels at 3 m/s .

v)The maximum height of the water balloon is 44 m.

vi)The water balloon is in the air for 3 s.

You might be interested in

Simplify |-3-81 0 A -11 O B. 5 O c. 5 O D. 11 Simplify |-3 - 8|

9966 [12]

Answer:

Step-by-step explanation:

8 0

3 years ago

Carly has 15 stuffed animals. How many ways are there to organize her top 3 favorites?

Ivanshal [37]

Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). If the order counts, then we would use the formula for Permutations, which is:
$\frac{n!}{(n-r)!}$
Where n is the number of items you have, and r is the number of times you choose from the items.
$\frac{15!}{(15-3)!}$
Which simplifies to
$\frac{15!}{(12)!}$
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.

Now, if you wanted to find the number of ways to order the toys without replacement (order doesn't count), you would use the formula:
$\frac{n!}{r!(n-r)!}$
The variables are still the same, but you are now multiplying by r!.
$\frac{15!}{3!(15-3)!}$
Simplifies to
$\frac{15!}{3!(12)!}$
Which simplifies to (using the same cancellation method above)
$\frac{2730}{3!}$
Dividing 2730 by 3! will get us an answer of 455.

Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.

:)

4 0

3 years ago

The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec

kati45 [8]

Let's the length to be x,

then the width is 8x - 2.

Perimeter of a rectangle = 2*Width + 2*Length

Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4

Ar the same time, Perimeter of the rectangle = 88.

So, we can write

18x - 4 = 88

18x = 84