Answer:
Multiplying a function by a constant expands the graph vertically by the magnitude of the constant. (If the constant is negative, the graph is also reflected about the x-axis.)
Step-by-step explanation:
Each value of a·ln(x) will be a factor of "a" farther away from the x-axis than it is for the parent function ln(x). That is, a·ln(x) is a vertically expanded version of the parent function ln(x). When |a| > 1, the expansion increases the distance from the x-axis.
Answer:
y = 1.6 x
y = 24
Step-by-step explanation:
The general equation of a direct variation is
y = k x
In this case
x = 10
y = 16
y = k*x
16 = 10*k
16/10 = k
k = 1.6
y = 1.6x
================
Let x = 15
y = 1.6 * 15
y = 24
Answer:
option (A)
central angle = 0.375 rad
Step-by-step explanation:
Given in the question,
radius of the circle = 8 inches
arc of the circle = 3 inches
To find,
measure of a central angle
Central angles are subtended by an arc between those two points.
Formula to use:
<h3> s = (r) (θ)</h3>
<em>where r = radius </em>
<em> s = arc length </em>
<em> θ = angle in radians</em>
<em />
Plug in the values in the equation
<h3>3 = (8) (θ)</h3><h3>θ = 3/8 </h3><h3>0.375 rad</h3>
10 is the answer.
You know that there are 4 numbers and you have to add the numbers then divide them by four to get the mean. So all you have to do is reverse the steps, multiply 30 by 4 to get 120, then add 12+50+48 to get 110. Then subtract, 120-110=10. To check if it is correct add 12, 50, 48, and 10 to get 120, then divide by 4 to get 30. And voila, there is the answer. I hope this helped for future problems like this one.
