it is going to take 18 miles in 1 hour
Answer:
(6x² - 5)(x² + 2)
Step-by-step explanation:
Given
6
- 5x² + 12x² - 10 ( factor the first/second and third/fourth terms )
= x²(6x² - 5) + 2(6x² - 5) ← factor out (6x² - 5) from each term
= (6x² - 5)(x² + 2)
Answer:
-10b - 7
Step-by-step explanation:
-11b - 4
- (-b + 3)
-----------------
-10b - 7
Answer:
$180
Step-by-step explanation:
Well because it is $27 per hour, you can start with the whole hours:
6*27=162
then because you are working with fractions you can find what 1/3 of 27 is:
27* (1/3)=9
this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.
Then you just add it all up:
162+18=180
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.
