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Georgia [21]
3 years ago
15

Taylor dropped a rubber ball from a height of 8 feet.The ball hit the ground after 1 second,bounced up to 5 feet in the next sec

ond,touched the ground after another second and bounced up to 2.5 feet after another second,at which time Taylor grabbed the ball and held it at the height for 2 more second . What is the interval where the graph is constant ?

Mathematics
1 answer:
Rzqust [24]3 years ago
3 0

Answer:

The graph is constant in the interval [4,6]

Step-by-step explanation:

We are given that,

Taylor dropped a rubber ball from a height of 8 feet.

So, at time t= 0 sec, the ball is being thrown.

Now, the next events follows as below:

1. After a second, the ball hits the ground.

2. It bounces up to 5 feet in the next second.

3. The ball again hits the ground in the next second.

4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.

So, we get the figure given below, we see that,

The graph is constant in the interval [4,6].

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The equation y =
-Dominant- [34]

Answer:

The  constant of proportionality k = 12

Hence, option A is true.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

Where 'k' is called the constant of proportionality.

In our case,

The given equation is

y = 12x

comparing with the equation y = kx, we can say

k = 12 which is the constant of proportionality.

Therefore, we conclude that:

The  constant of proportionality k = 12

Hence, option A is true.

6 0
3 years ago
If (2 − 3i) + (x + yi) = 6, what is x + yi?
Andrew [12]
(2 - 3i) + ( x + yi) = 6
(x + yi) = 6 - (2 - 3i)
Distribute the - to the 2 - 3i and get
x + yi = 6 - 2 + 3i
Accumulate like terms.
x + yi = 4 + 3i. Answer
5 0
3 years ago
PLS HELP ME ASAP FOR 27!! (MUST SHOW WORK!!) *maybe use a picture to draw it* + LOTS OF POINTS!!
adell [148]
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3 0
3 years ago
Using an appropriately designed and analyzed study, a researcher observes a p-value of 0.010000. Consider the following proposit
mafiozo [28]

Answer: a.

a. PROPOSITION ONE is true and PROPOSITION TWO is true

b. PROPOSITION ONE is true and PROPOSITION TWO is false

c. PROPOSITION ONE is false and PROPOSITION TWO is true

d. PROPOSITION ONE is false and PROPOSITION TWO is false

e. None of the above

7 0
3 years ago
Find the product of each pair of complex conjugates.<br>(3+8i)(3-8i)=
sdas [7]
3*3=9

3 *-8i = -24i

8i *3 =24i

8i*-8i = -64i^2 or i^2 =-1. -64*-1=64

-24i + 24i =0

9+64= 73

Answer 73
4 0
3 years ago
Read 2 more answers
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