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solong [7]
3 years ago
13

ASAP help and explain plz

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
12x is the correct answer

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A certain ball is dropped from a height of x feet. It always bounces up to 2/3 x feet. Suppose the ball is dropped from 10 feet
galina1969 [7]

Given that if a ball is dropped from x feet, it bounces up to 2/3 x feet.

And the ball is dropped from 10 feet, that is x=10 feet,

So,before the first bounce it travels 10 feet distance.

Between first and second bounce it travels  \frac{2}{3}* 10 + \frac{2}{3} * 10 = 20*(\frac{2}{3})

Between second and third bounce, it travels 20*(\frac{2}{3})^{2}

Between third and fourth bounce, it travels 20*(\frac{2}{3}) ^{3}

Like that between 29th and 30th bounce, it travels 20*(\frac{2}{3} )^{29}

Hence total distance traveled is

    10+20*(\frac{2}{3} )+20*(\frac{2}{3})^{2} + 20*(\frac{2}{3}) ^{3}+......+20*(\frac{2}{3})^{29}

=10+20[(\frac{2}{3}) +(\frac{2}{3}) ^{2} +(\frac{2}{3}) ^{3} +.....+(\frac{2}{3} )^{29} ]

= 10+20[\frac{\frac{2}{3}*(1-(\frac{2}{3})^{29})  }{1-\frac{2}{3} }]

= 10+20*2*(1-(\frac{2}{3}) ^{29})

= 49.9997 feet ≈ 50 feet approximately.

7 0
3 years ago
Read 2 more answers
How much will a person pay for 7.5 pounds of bananas at a price of $2.07 per pound?
igomit [66]

Answer:

$15.57

Step-by-step explanation:

2.07 times 7.50 = $15.57!

7 0
2 years ago
Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7
meriva
The points where the 2 graphs intersect is  where x = 0 and x = 2.

-                 2                                  2
x   =    INT               x dA     /    INT        dA
                  0                                  0

INT dA   = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx  =      INT -2x^2  + 4x
               =   -2 x^3/3 + 2x^2
               =   2.667  between 0 and 2

xdA  =   -2x^3 + 4x^2  INT xdA  =   -x^4/2 + 4x^3/3 = 2.667

centroid = 2.667 / 2.667  = 1  (x = 1)
3 0
3 years ago
Read 2 more answers
Choose the value for reflection to place triangle ABC on top of triangle DEF. How did the orange triangle move? The triangle fli
SCORPION-xisa [38]

Answer:

x = 3

Step-by-step explanation:

4 0
2 years ago
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3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is ta
nordsb [41]

Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

Probability of a computer chip being defective is 0.08 or 8%

Total random sample = 20

Probability of three chip being defective = 3/20 * 0.08

= 0.012

3 0
2 years ago
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