Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 20 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed. weeks

Empty rate = 1/18 job/week

---

Fill rate = 1/25 job/week

---

Together rate: 1/x

---

Equation:

rate - rate = together rate

1/18 - 1/25 = 1/x

----

Multiply thru by 18*25x

---

25x - 18x = 18*25

7x = 18*25

x = 64.29 weeks (time required to empty)

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

thats one

step-by-step explanation: