Mathematics : asked on AshNo
 02.11.2022

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)". What does the value 3 mean in this function?

A. On the first day, 3 leaves fall.

OB. On the second day, 3 leaves fall.

C. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the first day.

D. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the previous day.

What does the value 2 mean in this function?

A. On the first day, 2 leaves fall.

B. On the second day, 2 leaves fall

C. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the first day.

D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

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Step-by-step answer

24.06.2023, solved by verified expert
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A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

Take n = 1

Substitute 1 for n in The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

The number of leaves that fall off a tree n days, №17886262, 02.11.2022 20:00

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

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Mathematics
Step-by-step answer
P Answered by PhD

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

f(n) = 3(2)^n

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in f(n) = 3(2)^n

f(0) = 3(2)^0

f(0) = 3*1

f(0) = 3

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

f(0) = 3

Take n = 1

Substitute 1 for n in f(n) = 3(2)^n

f(1) = 3(2)^1

f(1) = 3*2

f(1) = 6

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

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