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3 years ago

I need help on these problems can you please help me it's due tomorrow

Mathematics

1 answer:

Margarita [4]3 years ago

6 0

4. a rational number is any number that you can turn into a fraction or ratio while an irrational number can’t be turned into a fraction ex. pi
5. idk
6. no, the square root of 8 is 2.8
7. it will be closer to 4.5 because the actual square root is 4.47 and you need to round up

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The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

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3 years ago

How many tens are in 120,000

Marina CMI [18]

12000
Just do
120000 divided by 10

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4 years ago

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Draw the line with equation x+y=2

DanielleElmas [232]

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

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sdas [7]

Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

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Here we do not have any options, so let's try to find a general solution.

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(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.

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Alexxx [7]

Answer:

15,504 different groups

Step-by-step explanation:

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