Mr. Caldwell want to purchase a motorcycle. He has

Pls help soon, my life depends on this test!!:))

Morgarella [4.7K]

Hello,
Please, see the attached file.
Thanks.

5 0

3 years ago

Read 2 more answers

A problem states: "There are 2 more horses than cows in a field. There are 15 animals in the field in all. How many horses are t

mash [69]

Let h = the number of horses in the field
Let c = number of cows in the field

There are 2 more horses than cows in the field. Therefore
h = c + 2
or
c = h - 2 (1)

There are 15 animals in the field. Therefore
h + c = 15 (2)

Substitute (1) into (2).
h + (h - 2) = 15
2h - 2 = 15

Answer:
The correct equation is
2h - 2 = 15

4 0

3 years ago

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Ashton needs $120 but has only saved 60% so far. How much more money does he need

Kamila [148]

Hello there! Ashton needs 48 more dollars.

Well, to start, you want to find 60% of 120. To do this, you first have to convert 60% into a decimal by dividing it by 100.

60/100 = 0.6

Next, multiply 0.6 by your total needed, 120, to finish finding 60% of 120.

120 x 0.6 = 72.

So he already has 72 dollars, but how many more does he need? You can find this by subtracting 72 from 120.

120 - 72 = 48.

So, this means he needs 48 more dollars. I hope this helps and have a great rest of your day! Please let me know if you need further help with this question. :)

3 0

3 years ago

Ex 7) Imagine a mile-long bar of metal such as the rail along railroad tracks. Suppose that the rail is anchored on both ends an

Fantom [35]

9514 1404 393

Answer:

about 44.5 feet

Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

h = c·tan(α) . . . . . . where c = half the initial rail length

Then the length of the expanded rail is ...

s = r(2α) = (c/sin(2α)(2α) . . . . . . where s = half the expanded rail length

Rearranging this last equation, we have ...

sin(2α)/(2α) = c/s

It is this equation that must be solved iteratively. We find the solution to be ...

α ≈ 0.0168538794049 radians

So, the height of the circular arc is ...

h = 2640.5·tan(0.0168538794049) ≈ 44.4984550191 . . . feet

The rail will bow upward by about 44.5 feet.

_____

Additional comments

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

__

We used Newton's method iteration to refine the estimate of the angle from that shown on the graph. The iterator used is x' = x -f(x)/f'(x), where x' is the next guess based on the previous guess of x. Only a few iterations are required obtain an angle value to full calculator precision.

3 0

3 years ago

Select the correct function that represents this data.

lidiya [134]

Answer:

f(x) = -5x - 2

Step-by-step explanation:

Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2, f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!

Hope this helps!

5 0

2 years ago