Question 71
p is proportional to q³. It is known that p = 40 for a particular value of q. Find the
value of p when the value of q is halved.​

Respuesta :

Nahomt

Answer:

given

p=q^3

p=40

______

q=(p)^1/3

q=(40)^1/3-->q=2(5)^1/3

Now

the value of half of q , (2(5)^1/3)÷(2) ,is 5^1/3.

finally the value of p gonna be

p=q^3

p=(5^1/3) ^ 3

p=5

Answer:

p=5

Step-by-step explanation:

p is proportional to q^3

[tex]\frac(p_1}{p_2)[/tex]=[[tex]\frac{q_1}{q_2}[/tex]]^3

[tex]\frac{40}{p_2}[/tex]={[tex]\frac{q_1){q_1}{2)[/tex])^3

[tex]\frac{40}{p_2}[/tex]=8

[tex]{p_2}[/tex]=5