Guys I need you help!!!plss help meee

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve

mr Goodwill [35]

Let $a_n$ be the n'th term of a sequence,

for example $a_1$ is the first term, $a_2$ is the second term and so on.
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a sequence is arithmetic if the difference between any 2 terms is equal:

so an arithmetic sequence, for the first term = t, and the common difference = d, has the following form:

$a_1=t$

$a_2=t+d$

$a_3=t+d+d$

$a_4=t+d+d+d$

so clearly $a_n=t+d*(n-1)$
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A sequence is geometric, if the ratio between any 2 consecutive terms is the same, and it is called the common ratio.

a geometric ratio with first term = t, and common ratio = r is:

$a_1=t$

$a_2=t*r$

$a_3=t*r*r$

$a_4=t*r*r*r$

thus clearly $a_n=t* r^{n-1}$
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Part 1:

"<span>Jasmine practices the piano for __30___ minutes on Monday. Every day she ____increases_______ her practice time by ____5 minutes_____. </span>"

let $a_n$ be the number of hours Jasmine practices the n'th day,

for n=7, t=30, d=5 we have

$a_7=30+5*(7-1)=30+5*6=30+30=60$ ,

minutes is the time Jasmine practices on the 7the day.

Part 2

"<span>Anthony goes to the gym for ___60___ minutes on Monday. Every day he ___increases______his gym time by ____1/10_of the previous day_____. </span>"

if $S_n$ represents the minutes that Anthony goes to gym on the n'th day,

then

$S_1=60$

$S_2=60+1/10*60=10/10*60+1/10*60=11/10*60=1.1*60$

$S_3=1.1*1.1*60$

$S_4=1.1*1.1*1.1*60$

$S_5=1.1*1.1*1.1*1.1*60= (1.1)^{4}*60= 1.4641*60=87.85$
(minutes)

Part 3: it is clear that the formula that can be derived in Part 2 is:

$S_n=60*(1.1)^{n-1}$

so assume we want to find how many hours does Anthony spend in the gym on the 10th day,

then we calculate $S_10=60*(1.1)^{9}=60*2.358=141.5$ (minutes)

6 0

3 years ago

Which equations represent the line that’s passes through points (1,-5) and (3,-17)

Nutka1998 [239]

(1,-5)(3,-17)

slope = (-17 - (-5) / (3 - 1) = - 12/2 = - 6

y = mx + b

slope(m) = -6

use either of ur points...(1,-5)...x = 1 and y = -5

now we sub and find b, the y int

-5 = -6(1) + b

-5 = -6 + b

-5 + 6 = b

1 = b

so ur equation is : y = -6x + 1....or 6x + y = 1

Hope this helps!

3 0

3 years ago

Have a great wonderful fantastic amazingggg dayyyy!!!

SCORPION-xisa [38]

Answer: 176m^2

Step-by-step explanation:

The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.

12 x 15 = 180

1 x 4 = 4

180 - 4 = 176m^2

6 0

4 years ago

Read 2 more answers

Answer is 8.99, but how tho

Mnenie [13.5K]

Answer:

x ≈ 8.99

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.

__

<h3>setup</h3>

The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...

Tan = Opposite/Adjacent

tan(angle of elevation) = (tower height)/(length of shadow)

Solving for the length of shadow, we have ...

length of shadow = (tower height)/tan(angle of elevation)

The difference in shadow lengths is 2x for the two different angles, so we have ...

2x = 24.57/tan(30°) -24.57/tan(45°)

__

<h3>solution</h3>

Dividing by 2 and factoring out the tower height, we have ...

x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)

x ≈ 8.993244

The value of x is about 8.99.

7 0

2 years ago

I’ll give brainliest <br><br> What are 3 examples of functions?<br> Show your work!

Svetllana [295]

Step-by-step explanation:

Adhala mudiyadhu kelambu vandhutha eva

4 0

3 years ago