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madam [21]
4 years ago
11

If an intravenous fluid is adjusted to deliver 15 mg of medication to a patient per hour, how many milligrams of medication are

delivered per half minute?
Mathematics
1 answer:
adelina 88 [10]4 years ago
8 0

Answer: 0.125 mg per half minute

Step-by-step explanation:

15mg per hour can be written as 15mg/h

To find out how many mg of medication are delivered per half minute you can convert from hour to minutes

There are 60 minutes in 1 hour, so you can use the conversion factor (1h/60 min) and multiply the expression by it

15 mg/h (1h/60min) = 0.25 mg/min

But the question is per half minute so you have to multiply and divide the previous expression by 0.5 (To obtain 0.5 min in the denominator, which is half minute)

Then,

(0.25 mg/min ) (0.5/0.5) = 0.125 mg/ 0.5 min (0.125 mg per half minute)

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Find the distance between points P(3, 4) and Q(4, -6) If necessary round to the nearest hundredth.
Andrei [34K]

Answer:

10.05 units

Step-by-step explanation:

We can find the distance between these points using the distance formula. The distance formula is:

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

We know that x1 is 3, x2 is 4, y1 is 4, and y2 is -6, so we can substitute inside the equation.

\sqrt{(4 - 3)^2 + (-6 - 4)^2} \\\\\sqrt{1^2 + -10^2} \\\\\sqrt{1 + 100} \\\\\sqrt{101} \\\\\approx10.05

Hope this helped!

7 0
3 years ago
HELP?!? idk what im doing and nobody has asked this. will give brainliest answrr or whatever its called.
Illusion [34]

9514 1404 393

Answer:

  \textbf{A.   }x=\dfrac{-4\pm2\sqrt{13}}{3}

Step-by-step explanation:

First of all, subtract 12 from both sides of the equation to put it into standard form:

  3x² +8x -12 = 0

Then identify the a, b, c of this form:

  ax² +bx +c = 0

You see that a=3, b=8, c=-12.

Now use those values in the quadratic formula for the solutions:

  x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-8\pm\sqrt{8^2-4(3)(-12)}}{2(3)}\\\\x=\dfrac{-8\pm\sqrt{208}}{6}=\dfrac{-8\pm4\sqrt{13}}{6}\\\\\boxed{x=\dfrac{-4\pm2\sqrt{13}}{3}}\qquad\text{factor 2 from numerator and denominator}

6 0
3 years ago
Write an equation for each line. y intercept of -2,1, x intercept of 3.5
grandymaker [24]
Y = -2.1 , x = 3.5 the first line will be horizontal and the other will be vertical
8 0
4 years ago
Helpp me pleasee correct answers! (10 points )
Softa [21]

Answer:  Approximately 30.4 degrees

=========================================================

Work Shown:

324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.

The adjacent side is 550 since it is the leg closest to the angle theta.

We'll use the tangent rule to connect the two sides

tan(angle) = opposite/adjacent

tan(theta) = 322.4/550

theta = arctan(322.4/550)

theta = 30.3780566013696

theta = 30.4

Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.

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3 years ago
An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?
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Answer:

C

Step-by-step explanation:

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