Answer:
The answer is 9x² - 6x - 1
Step-by-step explanation:
∵ (6x³ + x² - 10x - 1) - (6x³ - 8x² - 4x) =
0 + 9x² - 6x - 1 = 9x² - 6x - 1
0.625 day to grow 1 cm.
16/10 = 1.6 cm in 1 day.
Answer:
A) 48/13 ft/sec
B) 22/13 ft/sec
Step-by-step explanation: Given that:
A light is on the top of a 12 ft tall pole and a 5ft 6in tall person is walking away from the pole at a rate of 2 ft/sec.
A) At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole?
Using similar triangles, we can say:
12/L = 55/(L - x)
Cross multiply to get:
12(l - x) = 5.5l
12l - 12x = 5.5l
6.5l = 12x
x = (6.5/12)l
Taking the derivative with respect to time we get:
dx/dt = (6.5/12)dl/dt or
dl/dt = (12/6.5)(dx/dt)
Since dx/dt = 2 so
dl/dt = (12/6.5)(2)
= 24/6.5
= 48/13 ft/sec
B) At what rate is the tip of the shadow moving away from the person when the person is 25 ft from the pole ?
Subtract the rate the shadow is going from the rate the man is going. Therefore
48/13 - 2 = 22/13 ft/sec.
45/72 of the votes were for blue and 40/72 people voted for green.
Answer:
Hello!!
If Ethan has a collection of 1,500 pennies, and of these pennies, 15% are dated before 1980, 45% are dated from 1980 to 2000, and the rest are dated after 2000
There are 600 pennies in Ethan's collection dated after 2000
Step-by-step explanation:
×
pennies
×
pennies
×
pennies

Hope this helps!!