A ball is dropped from a height of 30 feet. The ball bounces. After each bounce, the maximum height of the ball is 80% of the previous height. Write an nth term formula to model the situation and approximate the maximum height of the ball after 6 bounces.

Answers

Answer 1

Answer: das is sum of geometric sequence
first is 30
imagine it
ball droppes 30 feet
bounces up 80% of that
then it has to bounce down again
then up
down
therfor, we summ up from 30 to 6thbounce, times 2 and minus 30 since the first bounce didn't start from ground (will include diagram)

so therefor
2(sum)-30 is the answer

the sum of a geometric sequence is
$S_(n)= (a_(1)(1-r^(n)))/(1-r)$
where Sn is the sum to the nth bounce
a1=first term
r=common ratio
n=which term
Sn=S6 (6th bonce)
a1=30
r=80% or 0.8

sub

$S_(6)= (30(1-0.8^(6)))/(1-0.8)$
$S_(6)= 110.678$

we then double then minus 30
2*110.678=221.357
minus 30
221.357-30=191.357 feet

you should use
dropped from x feet and max height is m percent of previous heigh, find total distance after n bounces (convert m% to decimal)
answer= $2[ (x(1-m^(n))/(1-m) ]-x$

anyway, distance is 191.357 feet

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Answers

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula: A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

Trig please helpLaw of Sines and the Ambiguous Case.

In ∆ ABC, a =10, c = 16, and m < A = 44*
How many distinct triangles can be drawn given these measurements?

Answers

Answer:

None (zero)

Step-by-step explanation:

10/sin(44) = 16/sinC

sinC = 1.111453392

Not possible

Answer:

Answer:

None (zero)

Step-by-step explanation:

10/sin(44) = 16/sinC

sinC = 1.111453392

What is the distance between point A and point B? Round to nearest tenth.

Answers

Answer:

$d \approx 12.6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = √((x_2-x_1)^2+(y_2-y_1)^2)$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = √((8+4)^2+(6-2)^2)$
Add/Subtract: $d = √((12)^2+(4)^2)$
Exponents: $d = √(144+16)$
Add: $d = √(160)$
Simplify: $d = 4√(10)$
Evaluate: $d = 12.6491$
Round: $d \approx 12.6$

Please show all work.

Answers

Answer:

wait where is the photo?

Step-by-step explanation:

What are the roots of the polynomial f(x)=x^2+9x-70?

Answers

Roots of the polynomial are values of x when f(x)=0,so
to find the roots of the polynomial we need to solve the equation
x²+9x-70=0 , a=1, b=9,c=-70

$x= \frac{-b+/- \sqrt{ b^(2)-4ac } }{2a}$

$x= (-9+/- √(81+4*1*70) )/(2) = (-9+/- √(361) )/(2)= (-9+/-19)/(2) x_(1)=5, x_(2)=-14$

Forms of money in the United States consist of paper money, coins, and _____.bartering
minting
checking account balances

Answers

The correct answer to the question "Forms of money in the United States consist of paper money, coins, and _____." is checking account balances.Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts in a particular country or socio-economic context, or is easily converted to such a form.The money supply of a country consists of currency (banknotes and coins) and bank money (the balances held in checking accounts, savings accounts, and other types of bank accounts).

checking account balances

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