Write down the portion number amount as a numerator over the whole number amount. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right
Answer:
$14.80
Step-by-step explanation:
Original bike price: $185
Tax: 8% OR 0.08 as a DECIMAL
To find your answer, multiply the bike price by the DECIMAL (number) tax amount:
185 x 0.08
= 14.8
Therefore, Alex paid $14.80 in tax.
A is the awnser,because it is asking for the area of the square figure not the triangular figure in the middle.
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
The answer:
((x-3)^14)/14 + (6*(x-3)^3)/13 + (3*(x-3)^12)/4 + C
