Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
given : A(9,-4) and B (1,-5)
m= ((-5)-(-4))/(1-9)
m= 1/8
I'm guessing you're trying to find the better buy right, if so what you have to do for this is put 3/4.45 then you'll find the cost for 1 sandwich, and same for the other one 4/6.72, and the one with the least amount of money spent is your answer.
Answer:
Interphrase
Step-by-step explanation:
Cell replicates its chromosomes and prepares for cell division
Answer:
228
Step-by-step explanation:
first we will find the area of the triangles on the sides of the prism.
(triangle area formula: (b*h)/2)
(6*5)/2 = 15
we multiply this by 2 since there are 2 sides that contain the same measures:
15*2 = 30
then we find the rectangles that are on the sides (not the base)
(rectangle formula: b*h)
11*6.5 = 71.5
multiply this by 2 since there are two sides:
71.5*2 = 143
finally we find the base using the same formula as we did to find the rectangles:
11*5 = 55
finally we add them all up:
30+143+55 = 228
hope this helps! :)
Answer:
(B)![\dfrac{dA}{dt}=8-0.004A](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bdt%7D%3D8-0.004A)
Step-by-step explanation:
Volume of fluid in the tank =1000 gallons
Initial Amount of Salt in the tank, A(0)= 30 pounds
Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.
Rate In=(concentration of salt in inflow)(input rate of brine)
![=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}](https://tex.z-dn.net/?f=%3D%282%5Cfrac%7Blbs%7D%7Bgal%7D%29%28%204%5Cfrac%7Bgal%7D%7Bmin%7D%29%3D8%5Cfrac%7Blbs%7D%7Bmin%7D)
The resulting mixture is pumped out at the same rate, therefore:
Rate Out =(concentration of salt in outflow)(output rate of brine)
![=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7BA%28t%29%7D%7B1000%7D%29%28%204%5Cfrac%7Bgal%7D%7Bmin%7D%29%3D%5Cfrac%7BA%7D%7B250%7D)
Therefore:
The rate of change of amount of salt in the tank,
![\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bdt%7D%3D%24Rate%20In-Rate%20out%5C%5C%5Cdfrac%7BdA%7D%7Bdt%7D%3D8-%5Cdfrac%7BA%7D%7B250%7D%5C%5C%5Cdfrac%7BdA%7D%7Bdt%7D%3D8-0.004A)