Answer:
Perimeter = 64m
Step-by-step explanation:
I can only help for Perimeter.
12+20+12+8+8+4=64m
Answer:
0.75
Step-by-step explanation:
Answer:
There seems to be m linear relation between te data.
Negative relationships between variables.
Step-by-step explanation:
Speed(X)
60
60
60
60
80
80
80
80
100
100
100
100
120
120
120
120
140
140
140
140
Lifetime (Y) :
4.6
3.8
4.9
4.5
4.7
5.8
5.5
5.4
5
4.5
3.2
4.8
4.1
4.5
4
3.8
3.6
3
3.5
3.4
The linear regression equation obtained by fitting the data using a regression model is :
ŷ = -0.017X + 6.03
From the regression plot, the relationship between the two variables, speed and lifetime is negative, that is an increase in one variable will lead to a corresponding decrease in the other.
<h3>
Answer:</h3>
y +3 = (1/4)(x +3)
<h3>
Step-by-step explanation:</h3>
The two-point form of the equation for a line is good for this.
... y -y1 = (y2-y1)/(x2-x1)(x -x1)
Substituting your values, we have ...
... y -(-3) = (-1-(-3))/(5-(-3))(x -(-3))
... y +3 = 2/8(x +3)
Since you ask for "an equation," we can leave it in this form.
... y +3 = (1/4)(x +3)
_____
Or we can rearrange it to <em>slope-intercept form</em>:
... y = (1/4)x -(2 1/4)
or put it in <em>standard form</em>:
... x -4y = 9
First, notice that, by the Pythagorean Theorem,
meaning that:
Also, since the volume of a cone with radius r and height h is we know that the volume of the cone is:
Therefore, we want to maximize the function subject to the constraint .
To find the critical points, we differentiate:
Therefore, when
meaning that or . Only is in the interval so that’s the only critical point we need to concern ourselves with.
Now we evaluate at the critical point and the endpoints:
Therefore, the volume of the largest cone that can be inscribed in a sphere of radius 3 is