Given that there were 30 bacteria present originally.
a=30
Also given that the number doubles every one hour.
After one hour the count =2×30=60
Since the count doubles every hour it forms a G.P. with r=2
a,ar,ar2........
The count at the end of 2nd hour=ar^2=30×2^2=120
The count at the end of 4th hour=ar^4=30×2^4=480
The count at the end of 8th hour=ar^8n=30×2^8=7680
etc.
The count at the end of n^th hour=ar^n=30×2^n
Also, the equation y=30*(2)^8/1 give the same result y= 7680
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to
where
L is the length
W is the width
we have
so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A
solve for W
solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L
therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Answer:
<h2>x= -3/10</h2>
Step-by-step explanation:
putting value
2x - 4(3x) =3
2x- 12x = 3
-10x = 3
<h2>x = -3/10</h2>
Answer:= 261.905% increase
Solution:
Calculate percentage change
from V1 = 21 to V2 = 76
(V2−V1)|V1|×100
(V2−V1)|V1|×100
=(76−21)|21|×100
=(76−21)|21|×100
=5521×100
=5521×100
=2.61905×100
=2.61905×100
=261.905%change
=261.905%change
=261.905%increase
First we clear y from the given equation
x + 10y = 260
10y = 260-x
y = (260-x) / (10)
Then, we evaluate the function within the domain of it
x = 0
y = (260- (0)) / (10)
y = (260) / (10)
y = 26
x = 10
y = (260- (10)) / (10)
y = (250) / (10)
y = 25
That is, you travel 1 mile in 10 minutes.
Therefore, traveling 26 miles will take:
(26) * (10) = 260 min
answer
it takes for the runner to reach the school 260min.
