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kirill [66]
3 years ago
11

Please help I’m being timed!!! When planning road development, the road commission estimates the future population using the fun

ction 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? A) the maximum population of the city B) the expected population in 5 years C) the initial population at the time of the estimation D) the amount of increase in the population in 5 years

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

The correct answer is C) The initial population at the time of the estimation

Explanation:

A mathematical function represents the relationship between two variables by showing how one increases or decreases as the other changes. In the case presented, the variables are the time in years represented by x and the population represented by f (x). In this context, the value 160.000 in column f(x) represents the population on the year 0, this means the current population or initial population when the function or estimation is created. On the other hand, other values represent the population in the future, for example, the value 173189 represents the population in 4 years.

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A store sells a package of comic books with a poster. A poster and three comic books cost $10.50. A poster and 12 comics cost $1
NikAS [45]

answer:

there you goooo

Explanation

4 0
3 years ago
A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line?​
Vikki [24]

Answer:

<h2>a = 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question the slope is - 3

To find the value of a we have

- 3 =  \frac{7 -  - 2}{a - 6}  \\  - 3 =  \frac{7 + 2}{a - 6}  \\  - 3(a - 6) = 9 \\  - 3a + 18 = 9 \\  - 3a = 9 - 18 \\  - 3a =  - 9

Divide both sides by - 3

\frac{ - 3a}{ - 3}  =  \frac{ - 9}{ - 3}  \\

We have the final answer as

<h3>a = 3</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
Plssss help what is x
makvit [3.9K]

Answer:

x = 4

Step-by-step explanation:

If you do not want to read the explanation go the the next part in bold

Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.  

This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.

Below here is where the work is shown

a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²  

5² = 25

3² = 9

we would then have 25 = 9 + b²

Next we subtract 9 from each side

25 - 9 = 16

9 - 9 cancels out

Now we have 16 = b²

finally we want to get rid of the ²

To do so we take the square root of each side

\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4

we're left with b = 4 which means that x = 4

8 0
3 years ago
Can someone help me please
schepotkina [342]

Answer:

∠B=60°

Step-by-step explanation:

In this right traingle, using angle B, you have the opposite side which is 6√102, and the adjacent side which is 6√34. Using SOHCAHTOA this invlolves TOA so tangent B = OPPOSITE/ADJACENT or tan B = 6√102/6√34. Simplifying gives tan B=√3. You can use your calculator to solve for B by taking the inverse tangent of √3 or you can use the known trig ratios from the unit circle if you have already learned that to find that  angle B is 60°

5 0
3 years ago
The question is in the picture please explain.
lapo4ka [179]

Answer:

x = 78

Step-by-step explanation:

Look at Triangle DBH. Two of its angles are known. Let y = <DHB

47 + 31 + y  = 180        All triangles have 180 degrees. Combine the left.

78 + y = 180                Subtract 78 from both sides.

78-78+y = 180-78        Combine

y = 102

Notice that y + x = 180   They form a straight line.

102 + x = 180                   Subtract 102 from both sides.

x = 78

You should notice that x is an exterior angle. (I didn't at first).

Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78

Much shorter and much easier.

3 0
3 years ago
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