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Diano4ka-milaya [45]
3 years ago
11

You are building a new house on a cartesian plane whose units are measured in miles. your house is to be located at the point (6

,0). unfortunately, the existing gas line follows the curve y=√16x2 6x 19. it costs 300 dollars per mile to install new pipe connecting your house to the existing line. what is the least amount of money you could pay to get hooked up to the system??
Mathematics
1 answer:
expeople1 [14]3 years ago
4 0
The cost for the hook is calculated by
C = (y - 0)(300)
C = <span>√(16x2 + 6x + 19)
To get the minimum, take the derivative of C in terms of x and equate it to zero. Solve for x and substitute it back to C to solve for the minimum cost.</span><span />
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A shoe store uses 50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholes
Stels [109]

57 + 57/2 = 57 + 28.5 = 85.5

4 0
3 years ago
Out of 27 participants in a track race, 5 are from China, 4 from the U.S.A., 3 each from the U.K. and Russia, and the rest from
son4ous [18]
I think it is 4 out of 5 but i dont know the number to the nearest thousanths 
but i hope this helps
4 0
3 years ago
(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these
rosijanka [135]

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

5 0
2 years ago
Solve (x+1)2 = –5.
katrin [286]

Answer:

A) no real solutions

Step-by-step explanation:

No real solution. in order to x+1 by itself you must square root both sides. that would mean square rooting -5 which creates an imaginary number. so there are no real solutions. Also cause even if x was a negative, when you'd square it, you'll always get a positive.

3 0
2 years ago
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