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Charra [1.4K]
4 years ago
13

|x+3|-1.5<2.5solve the inequality

Mathematics
1 answer:
pentagon [3]4 years ago
5 0
Absolute value is always positive, it is the distance from 0

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Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
olganol [36]

Answer:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

  • d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage
  • After first dose residual drug amount is: d= 500*0.045= 22.5 mg
  • After second dose: d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum drug will be in the body:

  • d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

  • 500+19*22.5= 927.5 mg
6 0
4 years ago
Please help finding
Marysya12 [62]

Answer:

im not gay

Step-by-step explanation:

8 0
4 years ago
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
3 years ago
Determine whether the lines are parallel, perpendicular or neither.
Firlakuza [10]

Answer:

Neither

Step-by-step explanation:

Although the lines intersect it is not at a 90° angle meaning it's neither perpendicular or parallel.

7 0
4 years ago
What fraction of 2minutes is 6 seconds<br>​
Olin [163]

1 minute = 60 seconds

2 minutes = 60 x 2 = 120 seconds

Fraction = 6/120 reduces to 1/20

The answer is 1/20

5 0
4 years ago
Read 2 more answers
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