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Basile [38]
4 years ago
10

Is 6.52 grater then 6.520

Mathematics
2 answers:
stich3 [128]4 years ago
8 0
No 6.52 is equal to 6.520.
The reason for this is because even if you add more ceros to the othe side of 6.52 it would not matter unless there is another number other than 0, Like 6.52000000000000001 is bigger than 6.52 ans smaller tahn 6.5200000000000000000000
BARSIC [14]4 years ago
5 0
No its equal it doesnt change if you put a 0 at the end
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Task 2 a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a
Galina-37 [17]

Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>The equation of a city that has experienced a population growth</h3>

The initial population of the city is 10000, and the growth rate of the population is 4%.

So, the exponential equation is:

y = 10000 * 1.04^x

<h3>The equation of a city that has experienced a population decline</h3>

The initial population of the city is 12000, and the decay rate of the population is 3%.

So, the exponential equation is:

y = 12000* 0.97^x

<h3>The similarities in the equations</h3>

The similarity in both equations is that, they both represent exponential function.

<h3>The year the population of city A exceeds B</h3>

In (a) and (b), we have:

y = 10000 * 1.04^x ---- city A

y = 12000* 0.97^x --- city B

When city A exceeds city B, we have the following inequality

10000 * 1.04^x > 12000 * 0.97^x

Divide both sides by 10000

1.04^x > 1.2 * 0.97^x

Divide both sides by 0.97^x

(\frac{1.04}{0.97})^x > 1.2

1.07^x > 1.2

Take the natural logarithm of both sides

\ln(1.07)^x > \ln(1.2)

This gives

x\ln(1.07) > \ln(1.2)

Solve for x

x > \frac{\ln(1.2)}{\ln(1.07)}

x > 2.69

This means that, the population of city A will exceed city B after 3 years

<h3>The year the population of city A will be at least twice of city B</h3>

In (a) and (b), we have:

y = 10000 * 1.04^x ---- city A

y = 12000* 0.97^x --- city B

When city A is at least twice city B, we have the following inequality

10000 * 1.04^x \ge 2 * 12000 * 0.97^x

10000 * 1.04^x \ge 24000 * 0.97^x

Divide both sides by 10000

1.04^x \ge 2.4 * 0.97^x

Divide both sides by 0.97^x

(\frac{1.04}{ 0.97})^x \ge 2.4

1.07^x \ge 2.4

Take the natural logarithm of both sides

\ln(1.07)^x \ge \ln(2.4)

This gives

x\ln(1.07) \ge \ln(2.4)

Solve for x

x\ge \frac{\ln(2.4)}{\ln(1.07) }

x\ge 12.9

This means that, the population of city A will be at least twice city B after 13 years

Read more about exponential functions at:

brainly.com/question/11464095

3 0
3 years ago
Choose A B C or D
zalisa [80]

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

3 0
3 years ago
If another line is perpendicular to the line shown on the graph, what must be its slope
Shtirlitz [24]

It's B

Slope is negative, the other must be positive due to m1 x m2 = - 1

m1 = -2/5

The diagram shows a gradient of -2/5. So, the

reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)

-2/5 x 5/2 = - 10/10 (or - 1)

Thus, the perpendicular line to this has a gradient of 5/2.

Hope this helps!

4 0
2 years ago
Order these numbers from least to greatest.
Harlamova29_29 [7]
-867, -145, -12.1, 12110
Note that a negative number converts a number to a very small number..
5 0
3 years ago
Could anyone please help me FAST!
STALIN [3.7K]

Answer:

1/20

Step-by-step explanation:

The only way it can equal 2 is if both spinners land on 1 because 1 + 1 = 2.

The probability of the 1st spinner landing on 1 is 1/4.

The Probability of the 2nd spinner landing on 1 is 1/5.

To find out the Probability of them landing together it would be 1/5 times 1/4 which equals 1/20.

8 0
3 years ago
Read 2 more answers
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