Answer:
3z = 2z + 5
when z=5
3*5=2*5+5
15=15
so true
Step-by-step explanation:
Step-by-step explanation:
Volume =pir^h
V1=pi r1^h
V2=pir2^2h
Now,V1/V2=r1^2/r2^2
v1/v2=r1^2/(1.05)^2 ((r2=r1+5/100r1)
v1/v2=1/1.1025
v1/v2=0.907
(v1/v2-1)=0.0907×100%
(v1-v2)/v2=9.07%
increase in volume is 9.07%
Step-by-step explanation:
Answer:
25 times is what I would say. Because if it is 600 square feet so it should be enough room for 25 seeds.so the answer is.....
D. 25
Step-by-step explanation:
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
