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n200080 [17]
3 years ago
8

Evaluate 3a2 + 4b2 for a = 2 and b = 3

Mathematics
1 answer:
Crank3 years ago
4 0
<span>3a^2 + 4b^2 for a = 2 and b = 3

</span><span>3(2)^2 + 4(3)^2 = 12 + 36 = 48</span>
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The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year.
AlexFokin [52]

The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

<h3>How to graph a function?</h3>

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

  • Consider certain values of x
  • Substitute x values in the given function to obtain y values
  • Plot the x and y values in the graph
  • Join the points to know the variation.

<h3>Calculation:</h3>

It is given that,

f(x) = 200 × (1.098)^x

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0   2   4   6   8   10

f(x = 0) = f(0) = 200 × (1.098)^0 = 200

f(x = 2) = f(2) = 200 × (1.098)^2 = 241

f(x = 4) = f(4) = 200 × (1.098)^4 = 291

f(x = 6) = f(6) = 200 × (1.098)^6 = 350

f(x = 8) = f(8) = 200 × (1.098)^8 = 423

f(x = 10) = f(10) = 200 × (1.098)^1^0 = 509

So,

(x, f(x)): (0, 200)  (2, 241)  (4, 291)  (6, 350)  (8, 423)  (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × (1.098)^t

⇒ (1.098)^t = 2

⇒ log(1.098)^t = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

Learn more about the function and its graph here:

brainly.com/question/4025726

#SPJ1

3 0
1 year ago
What is y-2=5(x+7) in standard form?
Elina [12.6K]

Answer:

im sorry idk this answer but lemme get your snap

4 0
3 years ago
Read 2 more answers
What is the value of 11x11x11
Archy [21]
The answer is 11x11x11=1331
4 0
3 years ago
Examine the figures. What is the ratio of squares to triangles?
Orlov [11]

Answer:

B

Step-by-step explanation:

First, count how many squares there are: 8 squares.

Now, count how many triangles there are: 6 triangles.

Ratio is simply the number of one thing divided by the number of the other. Here, since we want the ratio of squares to triangles, we have:

8 squares / 6 squares

We can simplify this to:

8 / 6 = 4 / 3

And finally, this can be written in the "ratio notation":

4 / 3 = 4 : 3

The answer is B.

5 0
3 years ago
Read 2 more answers
Consider the equations 4(x-3)=16 and 4x-3=16 do they have the same solution? Why or why not ?
Sladkaya [172]

Answer: Both the equations when solved have different answers, the solutions for both the equation are given below. In the the first equation  4 (x-3)=16 , 4 is multiplied with both the terms in the bracket. Whereas, in the second equation 4x- 2 = 16  there is no variable to multiply with the LHS equation

Solution:

4 (x-3)=16

4x - 12 = 16

4x = 16 + 12

4x = 28

x = 7


4x - 3 = 16

4x = 16 + 3

4x = 19

x = 19/4

x = 4.75

4 0
3 years ago
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