Answer:
a) 13 m/s
b) (15 + h) m/s
c) 15 m/s
Step-by-step explanation:
if the location is
y=x²+3*x
then the average velocity from 3 to 7 is
Δy/Δx=[y(7)-y(3)]/(7-3)=[7²+3*7- (3²+3*3)]/4= 13 m/s
then the average velocity from x=6 to to x=6+h
Δy/Δx=[y(6+h)-y(6)]/(6+h-6)=[(6+h)²+3*(6+h)- (6²+3*6)]/h= (2*6*h+3*h+h²)/h=2*6+3= (15 + h) m/s
the instantaneous velocity can be found taking the limit of Δy/Δx when h→0. Then
when h→0 , limit Δy/Δx= (15 + h) m/s = 15 m/s
then v= 15 m/s
also can be found taking the derivative of y in x=6
v=dy/dx=2*x+3
for x=6
v=dy/dx=2*6+3 = 12+3=15 m/s
Answer:
b = 50%
Step-by-step explanation:
P(Heart or Club)
= P(Heart) + P(Club)
= 13/52 + 13/52
= .25 + .25
= .5 --> 50%
When it says to estimate, I always think of doing it by hand to show work. So set it up like this:
96
<u>x 34</u>
So follow it out multiplying across 4*6 and 4*9 carrying over as needed to get it to look like this:
96
<u>x 34</u>
384
Do the same for the 3 to get this:
96
<u>x 34</u>
384
2880
Add 384+2880=3264
Your final answer is 3,264
Answer:
option a) 30 : 19
Step-by-step explanation:
<em><u>Ratio of length to width:</u></em>
<em><u></u></em>
