Answer: 480 milligrams
Step-by-step explanation:
We can solve this by using direct proportion whereby y = kx
where,
x = patient's weight = 92 pounds
k = constant
y = milligrams of antibiotics = 320
Using y = kx
320 = 92k
k = 320/92
k = 3.4782609
The antibiotic that should be given to a patient who weighs 138 pounds will be:
y = kx
y = 3.4782609 × 138
y = 480 milligrams
The antibiotic that should be given to a patient who weighs 138 pounds is 480 milligrams.
Answer:
3: x = 3 4: y = 8
Step-by-step explanation:
Problem 3:
Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.
Problem 4:
Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).
Hope this helped!
10. I think,,,,,,,,,,,,,,,,
Let 
. The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by 
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or 
, 
, and 
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
Answer:
a.1
b.10
c.120
Step-by-step explanation: don't know that last one
