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grigory [225]
2 years ago
6

The scatter plot shows a​ hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation o

f a trend line for the​ hiker's elevation is y=7.52x​+649, where x represents the number of minutes and y represents the​ hiker's elevation in feet. Use the equation of the trend line to estimate the​ hiker's elevation after 170 minutes.
After 170 ​minutes, the​ hiker's elevation will be about _____ feet above sea level.

Mathematics
1 answer:
irakobra [83]2 years ago
4 0

Answer:

2232 for 170 minutes

Step-by-step explanation:

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Find the area between the graph of the function and the x-axis over the given interval, if possible.
vodomira [7]

Answer:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

A = \int_{-\infty}^1 \frac{5}{(x-2)^2}

For this case we can use the following substitution u = x-2 and we have dx = du

A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du

And if we solve the integral we got:

A= -\frac{5}{u} \Big|_a^b

And we can rewrite the expression again in terms of x and we got:

A = -\frac{5}{x-2} \Big|_{-\infty}^1

And we can solve this using the fundamental theorem of calculus like this:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

7 0
3 years ago
Jonas weight 63 pounds. jane weight 67 pounds. round each number to the nearest ten.
IrinaVladis [17]

Answer:

Jonas = 60 pounds

Jane = 70 pounds

Remember- 5 or more, raise the score. 4 or less, let it rest.

Jonas is 63 pounds. 3 is less than 4, so rounded to the nearest ten would be 60 pounds.

Meanwhile, Jane is 67 pounds. 7 is more than 5, so we will raise the score.

So, 67 rounded to the nearest ten would be 70.

You have your answers. 60 and 70. Hope this helps!

4 0
3 years ago
Read 2 more answers
Which statement about the net is true?
Schach [20]
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles

If you fold this net up, you will get a triangular prism, NOT A PYRAMID.

A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.

Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.

For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.

Because a pyramid is where all the triangles must meet up at a point.

Hope this helps!
3 0
3 years ago
Which equation in slope-intercept form represents a line that is parallel to y=−4x−5 and passes through the point (0,0)?
IrinaK [193]

Answer:

\displaystyle y = -4x

Step-by-step explanation:

0 = 0 ± b

\displaystyle 0 = b \\ \\ y = -4x

* Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so −4 remains the way it is.

I am joyous to assist you anytime.

6 0
3 years ago
What is the Answer to 3c-5=2c+5
lesya [120]
Your answer is c = 10
5 0
3 years ago
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