Answer:
-24x^7
Step-by-step explanation:
Note that (-2)^3 = -8, and so:
(-2 x^2 )^ 3 ·3 x = -8*x^6 * 3*x, or -24x^7
Answer:
50m/s
Step-by-step explanation:
We assum the direction the baseball is travelling to the bat is the positive direction at 20 m/s and is hit in the opposite at a faster speed. The change in velocity is the final velocity minus the initial velocity:

The change in velocity is 50m/s
Answer:
113
Step-by-step explanation:
note: to find the circumference of a circle using the radius, you use this equation -- 2
r. since the radius is 18, you make the equation 2
18. that gets you 36
, which, if put into the calculator, is about 113.
Answer:

Step-by-step explanation:
Given equation of line is:
2x-3y=13
We will convert the equation of line in point-slope form to find the slope of the line
Let
m_1 be the slope of the line
So,
2x-3y=13
-3y= -2x+13
Dividing both sides by -3
(-3y)/(-3)=(-2x)/(-3)+13/(-3)
y=(2/3)x-13/3
The co-efficient of x is the slope of the line.
So,
m_1=2/3
Let
m_2 be the slope of second line
As we know that product of slopes of two perpendicular line is -1
m_1 m_2= -1
2/3*m_2= -1
m_2= -1*3/2
m_2= -3/2
So m2 is the slope of the line perpendicular to given line.
The standard equation of a line is
y=mx+b
To find the equation of line through (-6,5), put the point and slope in the given form and solve for b
5= -3/2 (-6)+b
5=18/2+b
5=9+b
b=5-9
b= -4
Putting the values of slope and b, we get

If the population of the animals decreases by about 21% of its current population, it means that the population next year is only 1 - 0.21 or 0.79 of its current population. Thus, the multiplier for the rate of the exponential decay is 0.79.