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mote1985 [20]
3 years ago
5

12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 e^{-0.173h}

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10e^{-0.173*1}

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 e^{-0.173*4}

M(4)=10(0.50057)

M(4) =5.0057 milligrams

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3 years ago
Basir buys 4 small drinks for $6.write and equation represent the cost c, for d small drinks?
maria [59]

Answer:

c = 1.5 d

Step-by-step explanation:

cost of 4 small drinks = $6

cost of 1 small drink    = $ \frac{6}{4} = $1.5

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3 years ago
which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?
wariber [46]

Answer:

y - 2 = 1/2(x + 6)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-6, 2)

Slope <em>m</em> = 1/2

<u>Step 2: Find</u>

  1. Substitute in variables [Point-Slope Form]:                                                     y - 2 = 1/2(x - -6)
  2. Simplify:                                                                                                             y - 2 = 1/2(x + 6)
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3 years ago
Make B the subject of the relation : 1/a is equal to 1/b + c​
stealth61 [152]

Answer:

By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.

1/a - 1/b = 1/c : add 1/b to both sides

1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator

1/a = (1/b)(c/c) + (1/c)(b/b) : simplify

1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match

1/a = (c + b)/bc : multiply both sides by a

1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]

1[bc/(b + c)] = a

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This will not work if c = -b, because then you would be dividing by zero.

Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6

a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.

Step-by-step explanation:

4 0
4 years ago
Can someone please answer this question please answer it correctly and please show work please help me I need it
JulsSmile [24]

Answer:

B

Step-by-step explanation:

We'll use Natasha's location as 0 on a number line. To the left of her, 51/20 would be negative and 25/4 would be positive.

To find how far apart the dogs are, we would need to add the absolute value of each number:

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