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Leno4ka [110]
3 years ago
8

In an animal hospital, 10 units of a certain medicine were injected into a dog. After 50 minutes, only 5 units remained in the d

og. Let f(t) be the amount of the medicine present after t minutes. At any time, the rate of change of f(t) is proportional to the value of f(t). Find the formula for f(t).
The formula is f(t) =​
Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

h

Step-by-step explanation:

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Add 5 to both sides to get x alone and you will have your answer which is x= -3

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Write as an algebraic expression: <br><br> 1) a% of 80 <br><br> 2) 17% of b <br><br> 3) a% of b
Anna35 [415]
1) 4a/5
a% of 80 = a% (80) = (a/100)(80) = 80a/100 = 4a/5

2) 17b/100 or 0.17b
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3) ab/100
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3 years ago
What is the answer to the math equation p(7,9)
Harman [31]

Answer:

p > 63

Step-by-step explanation:

p/7-(9)>0

                p

Simplify   —

                 7

 p    

 — -  9  > 0

 7  

p - 63

 ——————  > 0

   7    

Multiply both sides by  7

Add  63  to both sides

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4 0
3 years ago
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
Westkost [7]

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance <em>x</em> from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, x_{max}, of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

x_{max} = -b/(2·a)

The x-coordinate, x_{max}, of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

x_{max} = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, x_{max} = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, h_{max}, at x = 5, therefore;

h_{max} =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, h_{max} = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

7 0
3 years ago
Como puedo hallar ¨x¨
soldier1979 [14.2K]

Answer:

60

Step-by-step explanation:

8 0
3 years ago
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