The answer to question #1 is x = 7
For a line to be parallel to x = 8, it has to start with x = some number. Such a line would have an undefined slope.
Now, x = y is a line that goes through the origin. It has a slope of 1.
The answer to question #2 is y = 7
If a line is perpendicular to x = some number, then it has to be y = some number.
And this perpendicular line has to go through the point (4,7). So what is the y-value of this point, since the equation starts with y? The y-value is 7. So the equation has to be y = 7
Answer:
The rate at which the radius is decreasing when the radius is 6 cm is approximately 3.316 × 10⁻³ cm/s
Step-by-step explanation:
The rate at which air is being lost from the balloon = 3/2 cm³/s
The rate at which the radius is decreasing when the radius is 6 cm long is given as follows;
The rate at which air is being lost from the balloon = dV/dt = 3/2 cm³/s
dV/dt = dV/dr × dr/dt
Where;
dr/dt = The rate at which the radius is decreasing
dV/dr = d(4/3×π×r³)/dr = 4·π·r²
Therefore, we have;
dr/dt = (dV//dt)/(dV/dr) = (3/2 cm³/s)/(4·π·r²)
dr/dt = (3/2 cm³/s)/(4·π·r²)
When r = 6 cm, we have;
dr/dt = (3/2 cm³/s)/(4 × π × (6 cm)²) ≈ 3.316 × 10⁻³ cm/s
Therefore, the rate at which the radius is decreasing, dr/dt, when the radius is 6 cm long ≈ 3.316 × 10⁻³ cm/s.
f(x) = 5000(1.09^x) This would be the equation for the exponential growth function.
Answer:
1) N+6<2
2) Xn>12
3) P≥15
4) R times 11≥33
5) 5-N≥18
I think this is the answer :)
Step-by-step explanation:
Okay so finding the difference of 19 and 13.30, 5.70 is what we need to find when we start finding the sale percentage.
19*.15 = 2.85 (Too small!)
19*.25 = 4.75 (Not quite)
19*.30 = 5.70 (Bingo!)
The percentage off is 30%
