Hello pls Asap plsssss

A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

4 0

1 year ago

What is the price of a $13 ticket with a 8% sales tax?

HACTEHA [7]

Answer:

$14.04

Step-by-step explanation:

13 + 1.04 = $14.04

5 0

2 years ago

Read 2 more answers

Is pi/pi irrational

dedylja [7]

Answer:

No, $\frac{\pi}{\pi}$ is 1 which can be written as $\frac{1}{1}$ . The definition of rationals is any number that can be written as a ratio of an integer to an integer where the bottom integer is not 0.

Step-by-step explanation:

$\frac{\pi}{\pi}=1$ since $1(\pi)=\pi$ .

Rational numbers included anything that can be written as a fraction where the top and bottom are integers (bottom integer is not 0).

1 can be written many different ways. It can be written as $\frac{1}{1}$ .

Both the numerator and the denominator of the rewrite of one that I did are integers.

The integers include the following numbers:

{...,-4,-3,-2,-1,0,1,2,3,4,...}.

The integers are the whole numbers and the opposite of the whole numbers.

The whole numbers are {0,1,2,3,4,...}.

The opposite of the whole whole numbers are {...,-4,-3,-2,-1,0}.

3 0

3 years ago

HELPPP!!!

Setler [38]

Answer:-5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A coordinate grid showing Number of Classes on the horizontal x-axis and Total Cost in dollars on the vertical y-axis with 2 lin

Oksana_A [137]

The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10

<h3>How to find the equation of a line?</h3>

The slope of the first line is;

m = (y2 - y1)/(x2 - x1)

m = (32 - 10)/(4 - 0)

m = 5.5

Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10

The slope of the second line is;

m = (y2 - y1)/(x2 - x1)

m = (15 - 0)/(2 - 0)

m = 7.5

Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x

Thus, the system of equations representing these costs are;

y = 7.5x and y = 5.5x + 10

Read more about Equation of a line at; brainly.com/question/13763238

#SPJ1

5 0

1 year ago