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Olenka [21]
2 years ago
11

When planning road development, the road commission estimates the future population using the function represented in the table,

where x is the time in years and f(x) is the total population.
What is the significance of 160,000 in the function?

the maximum population of the city
the expected population in 5 years
the initial population at the time of the estimation
the amount of increase in the population in 5 years
Mathematics
1 answer:
Sindrei [870]2 years ago
7 0

The significance of 160,000 in the function is the initial population at the time of the estimation.

The correct option is (C)

<h3>What is data?</h3>

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Given:

As per the table attached below:

F(x) signify the total population when the time was x hour.

So,  160,000 in the function signifies that the population at starting i.e., initial point.

Learn more about this concept here:

brainly.com/question/17112729

#SPJ1

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What is the radius of a circle with the equation x^2+y^2+6x-2y+3?
atroni [7]

Answer:

r = √13

Step-by-step explanation:

Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms:  x^2 + 6x            + y^2 -2y             = 3.  Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."  

We need to "complete the square" of x^2 + 6x.  I'll just jump in and do it:  Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x:     x^2 + 6x  + 3^2 - 3^2.  Then do the same for y^2 - 2y:  y^2 - 2y + 1^2 - 1^2.

Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2.  Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1.  Making these replacements:

(x + 3)^2 - 9 + (y - 1)^2 -1 = 3.  Move the constants -9 and -1 to the other side of the equation:  (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13

Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r:  r^2 = 13, so that the radius is r = √13.


8 0
3 years ago
Read 2 more answers
The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co
yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.  

Answering 15 questions correctly will give you a grade of 75 what is the.  

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer  

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5

Hence, the constant of variation is 5

5 0
3 years ago
Please someone help!! I tried my best to complete this problem but i'm stuck now (also am i even doing it right so far??!);(
Alik [6]

Answer and Step-by-step explanation:

You got everything correct so far except for #4.

4. Yes, it is 1. But it would be in months.

So you would put:

1 month = x

12 months = 1 year.

Since the population increases by 1.5 times a <em>month.</em>

For question number 3.

The equation should be:

f(x) = 100(1.5)^x <- Function

f(x) = 100(1.5)^{12} <- Function when x is 12 months (1 year)

(Put those both the same way I put it.)

It gives you the equation to work with, you just have to plug in the values.

1.5 is in the parenthesis because it needs to be the one that is raised by an exponent.

100 is the initial population, so it stays on the outside.

x is the exponent

7 0
3 years ago
Find the surface area of the cylinder. Round your answer to the nearest hundredth.
horsena [70]

Answer:

  C.  795.45 in^2

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  SA = 2πr^2 +2πrh = 2πr(r +h)

For r=6 and h=15.1, the surface area is ...

  SA = 2π(6)(6 +15.1) = π(12)(21.1) = 253.2π

  SA ≈ 795.45 . . . . square inches

4 0
3 years ago
How can I get the answer
marshall27 [118]

Answer:

A.

Step-by-step explanation:

To find the inverse of a function, first make f(x) a y

So,

y = \frac{12}{x} -18

Then switch the x and the y

x = \frac{12}{y} - 18

Solve, for y

7 0
3 years ago
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