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liberstina [14]
3 years ago
5

A 35% dextrous solution (35 mg per 100 mL of solution) is given intravenously. Suppose a total of 1.17 L of the solution is give

n over a 10-hour period. what is the flow rate in dextrous per hour
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer:

The flow rate in dextrous solution  is 0.117 litres per hour

Step-by-step explanation:

Given:

The volume of fluid which passes per unit time = 1.17 Litres

Time Period = 10 hour

To Find:

The Flow rate per hour = ?

Solution:

Flow rate is defined as rate at which the "{volume of fluid which passes per unit time"

Here the Flow rate is  = \frac{\text{volume of fluid which passes per unit time}}{ time period}

On substituting the values

The Flow rate is =\frac{1.17}{10}

The flow rate is  0.117 litres per hour

Thus 0.117 litres of dextrous solution flows  per hour.

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In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t
katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

Correct \Marks= +5

Incorrect\ Marks= -2

Score\ Obtained = 30

Number\ of\ correct\ answers = 10

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

Total = +5 * 10

Total = +50\ marks

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

Incorrect = Scores\ Obtained - Total

Incorrect = 30 - (+50)

Open bracket

Incorrect = 30 - 50

Incorrect = -20

Divide this by -2 to get the number of incorrect answers

Incorrect\ Answers = \frac{-20}{-2}

Incorrect\ Answers = 10

Add this to the number of correct answers to give the total number of question answered

Total = Correct\ Answers + Incorrect\ Answers

Total = 10 + 10

Total = 20

<em>Hence, Roy answered a total of 20 questions</em>

3 0
3 years ago
7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
morpeh [17]

Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

  • Answer :

x = -4 or x = 2 ✅

  • Explanation :

<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

  • If b² - 4ac > 0 , There are 2 real-number solutions

  • If b² - 4ac = 0 , There is 1 real-number solution.

  • If b² - 4ac < 0 , There is no real-number solution.

The <em><u>roots</u></em> of the equation are determined by the following calculation:

x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Here, we have :

  • a = 1
  • b = 2
  • c = -8

1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

brainly.com/question/27638369

6 0
2 years ago
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I need help with this pleas
Shtirlitz [24]

Answer:

What is the question?

Step-by-step explanation:

I cannot see an attachment.

8 0
3 years ago
(4.23)(1.6) please multiple
Wewaii [24]

Answer:

The correct answer is 6.768.

Step-by-step explanation:

(4.23)(1.6) = 6.768

8 0
3 years ago
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A circle is centered at Q(1,-5) and has a radius of 5. Where does the point Y(4,-1) lie?
marta [7]

Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

4 0
3 years ago
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