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3 years ago

Which expression results in a sum or difference of six and thirteen fifty fifths?

Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer: lesson 21

Step-by-step explanation:

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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

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

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1 year ago

What is the image of the point (-6,2) after a 90 degree counterclockwise rotation

Gala2k [10]

The answer is (-2, -6)
to rotate 90 degrees counterclockwise, you do (-y, x)

5 0

2 years ago

Where is the horizontal center of mass of the entire upper extremity?

mixas84 [53]

Answer:

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Step-by-step explanation:

nicest

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2 years ago

kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will h

Elden [556K]

Answer:

6 weeks

Step-by-step explanation:

8 quizzes = 4 weeks

So 2 quizzes/week

It will take her 12/2 weeks (6) to finish 12 quizzes

-Chetan K

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2 years ago

Please help me find the answer.

Sati [7]

Answer:

a = 16 and b = 2

Step-by-step explanation:

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2 years ago