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Mamont248 [21]
3 years ago
5

Someone please help ASAP!!!!! SERIOUS ANSWERS ONLY!!!!!!

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0
Y=mx+b

m=slope

the greater m is the steeper the graph

so the correct answer is B
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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 :-}}

<u>(</u><u>i</u><u>)</u><u> </u><u>We</u><u> </u><u>will</u><u> </u><u>use</u><u> </u><u>here</u><u> </u><u>geometric</u><u> </u><u>progression</u><u> </u><u>formula</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>height</u><u> </u><u>an</u><u> </u><u>times</u>

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

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

<u>\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}  \}}</u>

4 0
2 years ago
What is this? I don't freaking eat it
Contact [7]
Eat what exactly? and the attachment wont load.
7 0
3 years ago
Read 2 more answers
7/12 + 3/4 in simplest form?
Mariulka [41]
Well first we have to add 7/12 and 3/4 together which is 7/12+3/4=4/3. Now we have to reduce that to simplest form. Which would be 1 1/3 is 7/12+3/4 in simplest form!
4 0
3 years ago
Read 2 more answers
Need help solving this question please.
jok3333 [9.3K]

Answer: b) they loaded 112356 lbs of cargo

Step-by-step explanation:

When a boat or an object floats in water, the volume of water that it displaces is equivalent to its weight.

When moving into the port, the cargo boat displaced 2200 ft³ of water. Since the density of water is 62.42 lb/ft³ and mass = density × volume, then the mass of the cargo boat on entering the port is

2200 × 62.42 = 137324 lbs

On leaving the port, it displaces 4000 ft³ of water. The mass of the cargo boat on leaving the port is

4000 × 62.42 = 249680 lbs

The difference in both masses is

249680 - 137324 = 112356 lbs

Therefore, they loaded 112356 lbs of cargo

4 0
3 years ago
What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
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