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Alex17521 [72]
3 years ago
14

After 2 hours, there are 1,400 mL of fluids remaining in a patient’s IV. The fluids drip at a rate of 300 mL per hour. Let x be

the time passed, in hours, and y be the amount of fluid left in the IV, in mL. Write a linear function that models this scenario.
Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Answer:

y(2) = 1400

Using this condition we got:

1400= -300*2 +b

And solving for b we got:

b= 1400+ 600= 2000

So then our linear function is given by:

y = -300x +2000

Where y is the amount of fluid left and x the number of hours ellapsing

Step-by-step explanation:

We want to set up a linear function like this one:

y = mx+b

Where y is the amount of fluid left, m the slope and b the initial amount. From the info given we know thatm = -300. And we also have the following condition:

y(2) = 1400

Using this condition we got:

1400= -300*2 +b

And solving for b we got:

b= 1400+ 600= 2000

So then our linear function is given by:

y = -300x +2000

Where y is the amount of fluid left and x the number of hours ellapsing

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Answer: I think 4.4 and not sure

Step-by-step explanation:

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In LMN, m = 2.1 inches, n = 8.2 inches and L=85°. Find the length of I, to the
nirvana33 [79]

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8.3

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6 0
3 years ago
Help. Can somebody help me with this. Thank you.
posledela

Answer:

m\angle CAB=65^\circ

Step-by-step explanation:

<u>Angles and Lines</u>

It's convenient to recall two basic principles of angles:

The sum of internal angles in a triangle is 180°

Two linear angles are supplementary, i.e. they sum 180°.

Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.

Now focus on the triangle. The sum of its internal angles is:

x + 40 + 3x + 10 + 180 - 6x = 180

Simplifying:

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Subtracting 230:

-2x = -50

Dividing by -2:

x = -50 / (-2) = 25

x = 25°

Now find the measure of angle CAB

m\angle CAB=x+40=25+40=65

\mathbf{m\angle CAB=65^\circ}

5 0
2 years ago
Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12. (16/3)√2 16√2
aksik [14]

Volume of cone is given by formula

V = \frac{\pi r^{2}h}{3}-------------------------------------------(1)

We are already given r =2, so we need to find h and then we can find volume

So missing meausre is height here ------------------------------------------------------------------------------

To find h we will use lateral area = 12\pi given

Formula for lateral area of cone is \pi r\sqrt{r^{2}+ h^{2}}

so we have12 = \pi r\sqrt{r^{2}+ h^{2}}

Now plug r as 2 in this equation

12 \pi = \pi (2)\sqrt{2^{2}+ h^{2}}

Now solve for h as shown and get h by itself

\frac{12\pi}{2\pi}  = \frac{2\pi\sqrt{4+h^{2}}}{2 \pi}

6  = \sqrt{4+h^{2}}

6^{2}   = \sqrt{4+h^{2}}  ^{2}

36}   = 4+h^{2}36 - 4    = 4+h^{2} -4

32  = h^{2}\sqrt{32} = \sqrt{h^{2}}

\sqrt{16 \times 2} = h\sqrt{16} \times \sqrt{2} = h

4\sqrt{2} = h----------------------------------------------------(2)

Now plug 2 in r place and 4\sqrt{2} in h place in volume formula given in (1)

V = \frac{\pi r^{2}h}{3}

V = \frac{\pi (2)^{2}4\sqrt{2}}{3}     [/tex][tex] V = \frac{\pi (4)4\sqrt{2}}{3}

V = \frac{16 \pi \sqrt{2}}{3}

so choice (1) is right answer

(1)  \frac{16 \sqrt{2}\pi}{3}

correct answer --------------------------------------------------------------------------------------------------

(2)  16 \sqrt{2} \pi

incorrect answer as correct volume answer we got as \frac{16 \sqrt{2}\pi}{3} --------------------------------------------------------------------------------------------------

(3)  4 \sqrt{38} \pi

incorrect answer as correct volume answer we got as \frac{16 \sqrt{2}\pi}{3} --------------------------------------------------------------------------------------------------------

6 0
3 years ago
Read 2 more answers
Can someone help me calculate the volume of a sphere with the radius of 70?
wolverine [178]
Formula= 4/3(3.14)r^3

4/3(3.14)(70)^3
4/3(3.14)(343,000)
4/3(1,077,566.28)
=1,436,755.04
6 0
3 years ago
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