Answer:
The answer is below
Step-by-step explanation:
a)
1/4x + 5/2x - 2 = 4 - 1/4x
collecting like terms:
(1/4)x + (5/2)x + (1/4)x = 4 + 2
3x = 6
x = 6/3
x = 2
b)
7.9x + x + 4 = -1.1x - 16
collecting like terms:
7.9x + x + 1.1x = - 16 - 4
10x = -20
x = -2
c)
3.2x + 5.7 = -2.5x
collecting like terms:
3.2x + 2.5x = 5.7
5.7x = 5.7
x = 1
d)
10.1x - 1.6x + 44 = -7
collecting like terms:
10.1x - 1.6x = -7 - 44
8.5x = -51
x = -6
Hence the equations in increasing order of the value of their solutions is:
10.1x - 1.6x + 44 = -7
7.9x + x + 4 = -1.1x - 16
3.2x + 5.7 = -2.5x
1/4x + 5/2x - 2 = 4 - 1/4x
Answer:
Regular peanut butter - .23
Family Size Peanut Butter - .15
Answer:
The coffee shop sells 12 cups/hour.
Step-by-step explanation:
To figure this out you would divide the amount of cups (48) by the amount of hours (4)
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
Rachel is taller, she is taller by 23 cm