Answer:
The independent variable is the dose of the drug given to each participant.
Step-by-step explanation:
In the current experiment each patient's initial level of pain is going to be the <em>initial condition </em>for the experiment. We're going to measure the final level of pain and we'll try to find any correlation between the variation in the level of pain and the number of milligrams of the drug given to each patient, so that last one (the dose of the drug) is the independent variable because is the one variable that we're going to modify in order to see the effect that it has in the final measurement.
Part (a)
The picture alone, without the frame, is 16 by 20
When accounting for the frame, the larger rectangle is 16+2x by 20+2x
We add up all four sides to get the perimeter
(16+2x)+(20+2x)+(16+2x)+(20+2x)
8x+72
or you can use this perimeter of a rectangle formula
P = 2(L+W)
P = 2(20+2x+16+2x)
P = 2(4x+36)
P = 8x+72
Answer: 8x+72
=========================================
Part (b)
Multiply the length and width to find the area of the rectangle.
area = length*width
A = L*W
A = (20+2x)*(16+2x)
A = 20(16+2x) + 2x(16+2x)
A = 320+40x + 32x + 4x^2
A = 4x^2 + 72x + 320
Answer: 4x^2 + 72x + 320
=========================================
Part (c)
Plug x = 2 into the perimeter equation found in part (a)
P = 8x+72
P = 8*2+72
P = 16+72
P = 88
Now plug x = 2 into the area equation found in part (b)
A = 4x^2 + 72x + 320
A = 4(2)^2 + 72(2) + 320
A = 4(4) + 72(2) + 320
A = 16 + 144 + 320
A = 160+320
A = 480
-------------
Answers:
Perimeter = 88 inches
Area = 480 square inches
We know the slope is -1, because perpendicular line's slopes are always the negative reciprocal. We plug (5, -3) in to get:
-3 = -5 + b
b = 2
So we get C. y = -x + 2.
---
Hope this helps!
==jding713==
161 1-foot tiles.
EXPLANATION:
To find how many tiles we need,
We must find the area of the kitchen.
To find the area, you multiply
length x width
In this question,
the length is 14
the width is 11.5
14 x 11.5 is 161.
So 161 1-foot tiles to cover the kitchen.
Hope this helps! Have a gud day!
Well if y represents the vertical distance of the ball then you want to solve the equation for when y is 0, since 0 would represent the ball being on the ground. So substitute 0 in for y and solve the equation.
0 = - 0.001x^2 + 0.3x
we have a common factor of x in both terms so we can take that out.
0 = x(-0.001x + 0.3)
Zero product property tells us that we can set both of those products equal to zero and solve
0 = x
0 = -0.001x + 0.3
our first answer is x = 0 is obvious bc thats when the ball starts before you hit it, means it traveled 0.
solving the second equation gives us x = 300
so the ball traveled 300 "yards" I suppose your problem starts, which is impossible, but no matter thats the answer :-)
