Answer:
$1.33
Step-by-step explanation:
let the cost of apple be $x .
now according to question the two shoppers spend the same amount
4.75x+4=5.5x+3
0.75x=1
x= 4/3= $1.33
therefore, pound of apples cost = $1.33
Answer:
2/5
Step-by-step explanation:
if one red ball was pulled that mean that now we have 2 red balls 2 green balls and 1 blue ball
and the sum of them is 5 and we have 2 . Soo it is 2/5
Answer:
x = 60
Step-by-step explanation:
t =
15 = k/68
k=1020
~~~~~~~~~~~
17 = 1020/x
x = 1020/17
x = 60
6^3 = 216 works
216/4 = 54 and 216/6 = 36
Answer:
the ingegral I=π/4
Step-by-step explanation:
From the integral
I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy
from polar coordinates
r²=x² + y²
then for r=1
√(1- y²) = x
for y=1 → x=0 , for y=0 → x=1
then the integration area is a hemisphere or radius r=1
therefore
I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)
I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4