Step-by-step explanation:
normally, if we have the gradient (or slope of inclination or change rate) and a point, we start using the point-slope form :
y - y1 = a(x - x1)
with (x1, y1) being a point on the line, and a being the slope of gradient (or ... however you want to call it).
y - 1 = 2(x - 2) = 2x - 4
y + 3 = 2x
2x - y = 3
Answer:
I'm not sure but i thinks it's
Slope = -1/2
Y intercept = 7
Factoring the cubic you get: <span>(x - 2)^2 (x-4) , so we know the multiplicity is the amount of times a root shows in an equation because the equation (x-2) has a exponent of 2 that means the root 2 has a multiplicity of 2.</span>
Answer: 2
The complete question is;
A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in a spherical air tank that measures 78.0 cm wide. The biologist estimates she will need 2600 L of air for the dive. Calculate the pressure to which this volume of air must be compressed in order to fit in to the air tank. Write you answer in atmospheres
Answer:
10.5 atm
Step-by-step explanation:
Formula for Volume of a sphere is;
V = (4/3)πr³
r = 78/2 = 39 cm
V = (4/3)π(39)³
V = (4/3)*π*59319
V = 248475 cm³
Now, from conversions, 1000 cm³ = 1L
So,
V = 248475/1000
V = 248.5 L
This is the volume of the storage tank
If we assume that the 2600 L of air is measured at 1 atmosphere pressure, then we will obtain the following relationship:
From Boyles law,
P1 × V1 = P2 × V2
Thus;
(1 atm) × (2600 L) = (P2) × (248.5 L)
P2 = 2600/248.5
P2 = 10.463 atmospheres
Approximating to 3 significant figures is; P2 = 10.5 atm
