Answer:
2v + 20
Step-by-step explanation:
Hey!
Answer: 3/4x - 3
Step-by-step explanation:
Let his sister's sale be represented by x.
Since we are informed that Keiko sold 3 less than three-fourths of his sister's sales, the expression that represents what Keiko sold will be:
= (3/4 × x) - 3
= 3/4x - 3
Answer:
The value of x is -31.
Step-by-step explanation:
To solve this, follow the order of operations for solving equations. The step-by-step is listed below.
5(x - 4) + 2 = -173 ----> Subtract 2 from both sides
5(x - 4) = -175 ----> Divide both sides by 5
x - 4 = -35 ----> Add 4 to both sides
x = -31
Answer:
Step-by-step explanation:
Answer:
a) 28,662 cm² max error
0,0111 relative error
b) 102,692 cm³ max error
0,004 relative error
Step-by-step explanation:
Length of cicumference is: 90 cm
L = 2*π*r
Applying differentiation on both sides f the equation
dL = 2*π* dr ⇒ dr = 0,5 / 2*π
dr = 1/4π
The equation for the volume of the sphere is
V(s) = 4/3*π*r³ and for the surface area is
S(s) = 4*π*r²
Differentiating
a) dS(s) = 4*2*π*r* dr ⇒ where 2*π*r = L = 90
Then
dS(s) = 4*90 (1/4*π)
dS(s) = 28.662 cm² ( Maximum error since dr = (1/4π) is maximum error
For relative error
DS´(s) = (90/π) / 4*π*r²
DS´(s) = 90 / 4*π*(L/2*π)² ⇒ DS(s) = 2 /180
DS´(s) = 0,0111 cm²
b) V(s) = 4/3*π*r³
Differentiating we get:
DV(s) = 4*π*r² dr
Maximum error
DV(s) = 4*π*r² ( 1/ 4*π*) ⇒ DV(s) = (90)² / 8*π²
DV(s) = 102,692 cm³ max error
Relative error
DV´(v) = (90)² / 8*π²/ 4/3*π*r³
DV´(v) = 1/240
DV´(v) = 0,004
