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katrin [286]
2 years ago
10

Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank

Mathematics
1 answer:
pav-90 [236]2 years ago
7 0

Answer:

g(n) = 10 * 3^{n}

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

d = g(n) - g(n-1)

Take n as 1

d = g(1) - g(1-1)

d = g(1) - g(0)

From the table:

g(1) = 30\ \&\ g(0) = 10

d = 30 - 10

d = 20

Take n as 2

d = g(2) - g(1)

From the table:

g(1) = 30\ \&\ g(2) = 90

d = 90 - 30

d = 60

The two differences are not equal. So, this

For geometry progression:

We calculate the common ratio (r)

r = \frac{g(n)}{g(n-1)}

Take n as 1

r = \frac{g(1)}{g(1-1)}

r = \frac{g(1)}{g(0)}

From the table:

g(1) = 30\ \&\ g(0) = 10

r = \frac{30}{10}

r = 3

Take n as 2

r = \frac{g(2)}{g(1)}

From the table:

g(1) = 30\ \&\ g(2) = 90

r = \frac{90}{30}

r = 3

The two ratios are equal.

So, the next step is to calculate the explicit formula using n term of a geometric progression.

Because the progression starts from 0, we make use of the following formula

g(n) = g(0) * r^{n}

Substitute values for g(0) and r

g(n) = 10 * 3^{n}

Hence:

The explicit formula is: g(n) = 10 * 3^{n}

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Pls help meh...... with the question.....pls it's urgent ...........​
HACTEHA [7]

Answer:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Step-by-step explanation:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

5 0
3 years ago
A parking lot covers 32,420 square feet. What is its area to the nearest thousand feet? Explain how you round the number.
REY [17]
The thousands place (1000) is the fourth number to the left of the decimal, so round that one either up or down based on the number just one spot closer to the decimal, in this case, the hundreds place (100).

so we have 32,420

we can ignore the numbers that are going to become zeros as a result of the rounding . .

32,400

let's round 32,XXX either up or down based on the value in the hundreds place. if that value is 5 or greater, than we round up. if it is less than 5, than we round down.

4 is in the hundreds place, so we round down

32,000 is the answer
8 0
3 years ago
The graph shows the altitude of a helicopter over time. A graph measuring altitude and time. A line runs through coordinates (0,
TiliK225 [7]

We can calculate for the slope of the line using the formula:

m = (y2 – y1) / (x2 – x1)

 

From the given values:

m = (4,000 – 10,000) ft / (15 – 0) min

m = -400 ft/min

This means that the altitude is decreasing by 400 ft per minute.

 

 

> The slope is –400 . This means that the helicopter descends 400 ft each minute.

4 0
3 years ago
How would I do this? What would it be?
Igoryamba

Answer: x=80

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

(x+8)+(2x+12)+(x+20)=360

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360

2. Now, subtract 40 from both sides of the equation:

4x+40-(40)=360-(40)\\\\4x=320

3. Finally, you must divide both sides of the equation by 4. Then:

\frac{4x}{4}=\frac{320}{4}\\\\x=80

7 0
3 years ago
Which function represents the area with respect to time?
zhuklara [117]
It’s C I think but I am not sure about it
8 0
3 years ago
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