Answer:
15
Step-by-step explanation:
Fiona (F) = Sushi (S)
Malachy (M) = 7 Fiona (F)
M = F + 90
F + 90 = 7F
6F = 90
F (Fiona) = 15
S (Sushi) = 15
check: Malachy (M) = 15 * 7 = 105
M-F = 105 - 15 = 90
Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
Price elasticity is defined as
.
Here, the question has omitted to define variables, so we will ASSUME
p=price
x=variable,
and we're given
p+x^2-160=0
We calculate
by implicit differentiation with respect to p:
1+2x (dx/dp)=0
=>
E(x)=(dx/dp)=-1/(2x)
Therefore the price elasticity at x=65 is
E(65)=1/(2*65) =-1/130 (approximately -0.00769)
Answer:
16
Step-by-step explanation:
solution,
2a-4b
2*2-4*-3
4-(-12)
4+12
16
5 pounds = 20 loads = $3.50
<u>Convert to per-load:</u>
1/4 pound = 1 load = 13.5 cents
15 pounds = 60 loads = $10
<u>Convert to per-load:</u>
1/4 pound = 1 loads = 16.7 cents
You would save 3.2 cents per load
