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:
Using the Pythargorean theoem
a^2 + b^2 = c^2
2^2 + 2^2 = c^2
4 + 4 = c^2
8 = c^2
c = sqrt(8)
the answer would be D
Answer:
central angle=18
arc length=2.5 π feet
area of a sector=31.25π square feet
Step-by-step explanation:
Given
wheel radius=25 feet
attached cars=20
Space between cars along the circumference of wheel= 360/20
=18
Finding arc length:
arc length= radius x angle(in radians)
angle in radian = 18 x π/180 = 0.1π radians
arc length = 25 x 0.1π
=2.5π feet
Area of the circle = πr^2
Area of the circle = π(25)^2
Area of the circle = 625π square feet.
As the ratio of the central angle to the full circle angle is proportional to the area of the sector to the complete circle:
central angle/360=area of sector/area of circle
Area of sector= area of circle x 18/360
= 625π(1/20)
=31.25π !
Answer:
Step-by-step explanation:
Ⅰ. x+y-z = -3
Ⅱ. 4x-y+z = 8
Ⅲ. -x+5y-4z = 1
Use equation Ⅰ to eliminate the x terms from equations Ⅱ and Ⅲ.
Ⅰ. x+y-z = -3
Ⅱ. -5y+5z = 20
Ⅲ. 6y-5z = -2
Divide equation Ⅱ by the coefficient of its y term:
Ⅰ. x+y-z = -3
Ⅱ. y-z = -4
Ⅲ. 6y-5z = -2
Use equation Ⅱ to eliminate the y terms from equation Ⅲ.
Ⅰ. x+y-z = -3
Ⅱ. y-z = -4
Ⅲ. z = 22
Divide equation Ⅲ by the coefficient of its z term:
Ⅰ. x+y-z = -3
Ⅱ. y-z = -4
Ⅲ. z = 22
Back-substitution
y = -4 - (-1)z = 18
x = -3 - (1)y - (-1)z = 1
Answer:
Carla lives 16 miles from the Library.
The mistake is drawng the diagram incorrectly and using the miles given in the wrong places. The <u>student's</u> diagram has Yuri in a place that's Southwest of the Library in the diagram given
Step-by-step explanation:
If Yuri lives 24 miles SOUTH of the library, the "b" side of the triangle should be 24, with the Library at the top and Yuri at the bottom left, which is the west end of the base. The base "a" of the triangle should extend 10 to the right (East in compas directions) forming the right angle. Carla lives at the sharp southeast corner of the triangle, and the Hypotenuse "c" from her house to the Library is the distance we have to figure.
c² =a² + b²
c² = 10² + 24²
c² = 100 + 576
c² = 676
√c² = √676
c = 26 Carla lives 26 miles from the Library.