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
The answer would be 80 because you are multiplying each number by 2. You multiply 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40, and then 40 x 2 = 80. That is how I got the answer 80!!
Answer:
The first student is correct
Step-by-step explanation:
With the given information there is already 4 inches on the rectangle. 13 x2 = 26. 26+4=30. For student two if the unknown number was 10 it would not work because the longest side is 3 less then the unknown number. 10-3=7. 7x2=14. 14+4= 28<30
Answer:
$507.30
Step-by-step explanation:
-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.
-The amount of the investment after 30 years is calculated as;
-Assuming Saul started saving at age 20, his investment term will be 40 yrs.
-His investment amount is thus:
#We subtract to find how much more he would have if he started saving at 20;
Hence, Saul would have $507.30 more had he started saving 10 years earlier.
Responda:
11
Explicação passo a passo:
Área do retângulo = comprimento * largura
Dado
Comprimento = 4
Largura = 3x + 2
Área = 44
Substitua na fórmula e obtenha x
44 = 4 (3x + 2)
44 = 12x + 8
12x = 44-8
12x = 36
x = 36/12
x = 3
Obtenha os lados mais longos
Lado mais longo = 3x + 2
Substitua x = 3
Lado mais comprido = 3 (3) + 2
Lado mais comprido = 11
Portanto, a medida do lado mais longo deste retângulo é 11
