Let the width of the barn be = x feet
So length of the barn = 2x
Height of the barn = x-8
As the stalls are 6 feet longer from both ends hence, we have to find the area with width as x-12 feet
Volume of the space is = 3840 cubic feet
Hence, equation is :
Solving this we get
This gives x=20 and x= ±
Hence, neglecting the square root value we get x = 20 feet
Hence, the width is = x-12 = 20 - 12 = 8 feet
Length is = 2x = 2*20 = 40 feet
Height is = x-8 = 20 - 8 =12 feet
And we can cross check this by multiplying all the three dimensions to get 3840 cubic feet
cubic feet.
Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
Product A= 8oz = 1.36 x 2= 2.72. 16oz = 2.72
product B=16oz= 3.20
so Product A has the lower unit price.
Answer:
No. The last ratio is not written with the values in the same position as the others. It should be 50
10
to be consistent. If the ratio were written this way, then the ratios would all be equivalent . The relationship is proportional.
Step-by-step explanation:
I just did this!
Answer:
Step-by-step explanation:
To find the Taylor series of sinc(x) we will use the taylor series of sin(x). We have that
which is the taylor series expansion based at 0. Then for 
, by dividing both sidex by x, we have that
which is the taylor series expansion for the sinc function. Since the series of sine converges for every value of x. Then the taylor series of sinc converges for every value of x, but 0.
