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Jlenok [28]
2 years ago
7

Some students performed an experiment in which they dropped a rubber ball from a height of 920 centimeters. They noticed that af

ter each bounce, it reached 56% of its previous height. Which equation models the height, H, for n bounces?
Mathematics
1 answer:
sweet [91]2 years ago
8 0

The equation models the height, H, for n bounces, will be H = 920 (0.56)ⁿ.

<h3>What is an exponent?</h3>

Consider the function:

y = a (1 ± r) ˣ

Where n is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

Some students performed an experiment in which they dropped a rubber ball from a height of 920 centimeters.

They noticed that after each bounce, it reached 56% of its previous height.

Then the equation models the height, H, for n bounces will be

H = 920 (0.56)ⁿ

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

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Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of
Allushta [10]

The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet

<h3>What is a rectangle?</h3>

A rectangle is a quadrilateral with four sides and four vertices  each of angle 90°.

Analysis:

Area of rectangle: 19.6 square feet

length of one side = 4.3 feet

width of one side = Area/length = 19.6/4.3 = 4.6 feet

the diagonal and width and length of a rectangle for a right angle triangle.

To find the diagonal, we use Pythagoras theorem

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (4.3)^{2} + (4.6)^{2}

(diagonal)^{2} = 39.7

diagonal = \sqrt{39.7} = 6.3 feet

in conclusion, the diagonal of the rectangular garden is 6.3 feet

Learn more about quadrilateral: brainly.com/question/23935806

#SPJ1

8 0
2 years ago
Tank A has a capacity of 9.5 gallons. 6 1\3 gallons of the tank"s water are poured out. How many gallons of water are left in th
aleksandr82 [10.1K]

Answer:  Since 1/3 can't be turned into a decimal, change .5 into 1/2. In order to subtract, the fractions need a common denominator. The least common denominator is 6. So 1/3 turns into 2/6, and 1/2 turns into 3/6. Now you need to take 9 3/6 minus 6 2/6. The answer is 3 1/6 gallons of water.


Step-by-step explanation:


4 0
3 years ago
What is the answer to this algebra 1 answer : 6&gt; 4-2×&lt;4
Artist 52 [7]
6>4-2x<4

so therefor (4x-2) must be less than 6 and less than 4
it must be
6>4-2x and 4<4-2x
find the intersection

6>4-2x
add 2x to both sides
6+2x>4
subtract 6
2x>-2
divide by 2
x>-1



4>4-2x
add 2x
4+2x>4
subtract 4
2x>0
x>0




so we have
x>0
and x>-1
the range of x>-1 includes most of x>0 so the answer is
x>-1

6 0
3 years ago
Find the circumference of a circle with a radius of 11.15 cm
Georgia [21]

Answer:

390.377

Step-by-step explanation:

pi*r^2

6 0
2 years ago
(3x-8)(x+8) multiply
ohaa [14]
FOIL this out.  3x*x = 3x^2; 3x*8= 24x; -8*x = -8x; -8*8=-64.  Combine like terms to get
7 0
3 years ago
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