Answer:
-3.5 or -6
Step-by-step explanation:
2x^2+19x+40=-2
2x^2+19x+40+2=0
2x^2+19x+42=0
2x^2+(12+7)x+42=0
2x^2+12x+7x+42=0
2x(x+6)+7(x+6)=0
(x+6)(2x+7)=0
either,
x+6=0
x=-6
or,
2x+7=0
2x=-7
x=-7/2
x=-3.5
Answer:
Step-by-step explanation:
This shape is called a rectangular prism. The formula for finding the volume of this prism is: 
All you do is plug the values into the formula.
The length is 2m
The width is 1m
the height is 5m
Volume = (2m)(1m)(5m)
Volume = 
Answer:
Answer attached
Step-by-step explanation:
With reference to my figure
Shape 1 = square
Shape 2 = rectangle
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
Answer:
$15.19
Step-by-step explanation:
Write an equation
8.5% of 14 =
Convert percent into decimal:
8.5% = 0.085
"Of" means to multiply so multiply 0.085 to 14
0.085 x 14 = $1.19
14 + 1.19 = $15.19
