Answer:
ans : x in terms of p is 15/p and if p is -5 than x= -3
Step-by-step explanation:
4( px +1 ) = 64
( Px + 1 ) = 64/4
px = 16 - 1
x = 15/p
and , if p= -5 than,
x = 15 / (-5)
= - 3
It would be (x) 8*3=24 since (y)10*3=30
so x=24
hope this helps!
To calculate how many meals the dog food would last, we need to multiply 24 by 3/4, since 3/4 pounds is how much dog food the dog eats every meal.
24 * 3/4
= 18
Answer: 18 meals
Hope this helped!
Answer:
Lori will have 
cavity if she brushed for 
each night.
Step-by-step explanation:
As the question suggests cavities developed varies inversely with the number of seconds spent on brushing.
Lets take the terms as 
,where 
is the constant of proportionality.
And
c = Number of cavities developed each year
t = Number of minutes spent on brushing per night
Now we will plugging the values of the given terms and find the value of ,for this we can re-arrange it as...
and 
Now as Lori will increase her brushing time so as the cavity will decrease.
So for this we have been given,
and 
.
As 
So as per Paul's observation if Lori brushed for 
at night she will have cavity on that year.
Answer:
34.16 cm
Step-by-step explanation:
side of square base = x
height = h
area, A = 3500 cm^2
Area = x² + 4xh = 3500
4 xh = 3500 - x²
h = (3500 - x²)/4x
Volume = Area of base x height
V = x² h
V = x² (3500 - x²)/4x
V = (3500 x - x³) / 4
Differentiate volume with respect to x
dV/dx = (3500 - 3x²) / 4
It is equal to zero for maxima and minima
3500 - 3x² = 0
x = 34.16 cm
Now differentiate again
d²V/dx² = 6x / 4
It is negative so the volume is maximum.
Thus, for x = 34.16 cm, the volume is maximum.
