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
kolezko [41]
2 years ago
7

10. When a rubber ball is dropped from a height, h cm on to a flat concrete floor, it rebounds to 3 5 h cm a height of Given a r

ubber ball is dropped from a height of 120cm. Find a) the maximum height achieved by the ball after 2 bounces b) the total distance travelled by the ball when it hits the floor for 10 ^ m times. c) the total distance travelled by the ball if the ball continues to bounce in the same way indefinitely.​
Mathematics
1 answer:
Xelga [282]2 years ago
7 0

Step-by-step explanation:

Let the height above which the ball is released be H

This problem can be tackled using geometric progression.

The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is

To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H

a=2H..........r=3/4

However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H

Therefore the total distance travel up to the Nth bounce is

For N=3 one obtains

D=3.625H

You might be interested in
Evan's rectangular lawn measures 8 yards by 10 yards. He planted a hedge
bezimeni [28]

Answer:

Length of rectangular lawn =72 meters

Breadth of rectangular lawn =18 meters

Perimeter of rectangle =2(Length+Breadth)

So, Perimeter of rectangle =2(72+18)=2(90)=180 meters

If three shrubs can be planted in a meter of hedge.

Then, Number of shrubs planted in whole perimeter will be=3×180=540

Step-by-step explanation:

8 0
2 years ago
1) Which one of these four numbers has the greatest absolute value? (SELECT ONE answer)70-11-7
GalinKa [24]

Answer:

70

Step-by-step explanation:

70 has the greatest absolute value because absolute value is the amount between that number and 0. If 70 is the biggest number the with the biggest absolute value is 70.

7 0
3 years ago
Determine the range of the function graphed above
STALIN [3.7K]

Answer: A

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

The possible values of y are [-infinity,4], so the answer is A

8 0
3 years ago
Is the number <img src="https://tex.z-dn.net/?f=%5Csqrt%7B62%7D" id="TexFormula1" title="\sqrt{62}" alt="\sqrt{62}" align="absmi
mrs_skeptik [129]

Answer:

Irrational.

Step-by-step explanation:

Rational means that it is a whole number and can be written as a fraction. That doesn't apply for square rooted numbers. So, \sqrt{62} is irrational.

4 0
3 years ago
Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In
Trava [24]

This is the complete question:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.  Assume that x represents the number of assessments since he starts recording and y represents the scores in each assessment, which of the following describes the situation?

a. a relation only b.

b. neither a function nor a relation

c. a function only

d. both a relation and a function

Answer:

  • <u><em>d. both a relation and a function</em></u>

Step-by-step explanation:

<em>A relation</em> is any statement, either verbal or mathematical, that connects, interrelates or associates, two or more elements (objects, persons, variables).

The text describes a situation where the scores in the assesments are related to the number of statements since Mark starts recording, hence this is a relation.

<h2>Is this relation a function or not?</h2>

In order for a relation be a function, the association has to be unambiguos. This means that for a given input only one output can exist. If an input can have two or more outputs, then you can not determine which is the output for that input. This is what defines whether a relation is a function or not.

In the situation described in the text, x is the input, i.e. the number of assessments since Mark starts recording the scores. Definetely, the number of assessment is not repeated: there is only one first assessment, only one second assessment, only one third assessment, ... the number of assessment cannot not get repeated. Of course, if the input is not repeated, there is only one output associated to the input (each assessment has just one associated score)  and the relation is a function.

3 0
3 years ago
Other questions:
  • Can the sum of two mixed numbers be equal to 2? ​
    5·2 answers
  • Please help me with this!
    12·1 answer
  • Help me plz im ketching up on math but is hard for me
    15·2 answers
  • If there is an 80% chance of rain and a 50% chance of wind and rain, what is the probability that it is windy, given that it is
    9·2 answers
  • A rectangular room measures 15 feet by 20 feet. The ceiling is 9 feet high. What is the total area of the four walls? (to the ne
    13·1 answer
  • Options are:<br> y = - 5/2x + 1/2<br> y = 5/2x + 1/2<br> y = 2/5x + 1/2<br> y = 2/5x - 1/2
    15·1 answer
  • PLLLLLZZZZZ HEEEEEELP
    5·2 answers
  • What is the CONSTANT in the expression 3k + 12?
    8·2 answers
  • Please help ASAP Due in 1 hour!!! Marking Brainliest!!!
    9·2 answers
  • Can someone help me
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!