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Bond [772]
3 years ago
11

A horse is free to roam and feed in an enclosed pasture that is 150 feet by 200 feet. At any given time, what is the probability

that the horse is at least 25 feet away from all boundary lines?
Mathematics
1 answer:
barxatty [35]3 years ago
8 0

25/250 = 1/10

I do not know that much english. I an spanish so I might have done it wrong.

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Does anyone know the minim value of the function f(x) =2x^2 -4x -6?. I’m online due to my quarantine and am looking for extra he
navik [9.2K]

Answer:

f(x) = - 8

Explanation:

The given function is

f(x) =2x^2 -4x -6

The first step is to find the derivative of the function. Recall, if

y = ax^b

y' = abx^(b - 1)

Thus,

f'(x) = 4x - 4

We would equate f'(x) to zero and solve for x. We have

4x - 4 = 0

4x = 4

x = 4/4

x = 1

We would substitute x = 1 into the original function and solve for f(x) or y. It becomes

f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6

f(1) = - 8

Thus, the minimum value is f(x) = - 8

4 0
1 year ago
A car's position is given by s(t) = {3 – 5t? + 7t hundreds of meters with t in minutes.
Nadya [2.5K]

Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

At v = 0, we have;

3t² - 10t + 7 = 0

Using quadratic formula, we have;

t = 1 and t = 2.3

Thus, time at velocity of 0 is t = (1 s, 2.3 s)

B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

At velocity of 0, we got t = 1 and t = 2.3

Thus;

a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

8 0
3 years ago
What’s the correct answer????
adell [148]

Answer:

$39

Step-by-step explanation:

(hope you get a 100%:))

7 0
3 years ago
Help look at screenshot
ipn [44]
1/3 is the correct answer simplified
4 0
2 years ago
Read 2 more answers
Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest r
AnnyKZ [126]

Answer: $200

Step-by-step explanation

Principal = $2000

Rate = 15%

Time = 8 months = 8/12 = 2/3 years

Interest = Principal × Rate × Time

= 2000 × 15% × 2/3

= 2000 × 15/100 × 2/3

= $200

The interest is $200

8 0
2 years ago
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