Answer:
option F
Step-by-step explanation:
given,
capacity of tank = 1000 gallon
volume of water leak = 300 gallon
time = 30 min
water is leaking at the rate
formula used
At t = 0 A = 1000 gallons
B = 1000
at t = 30 A = 700
taking ln both side
now,
hence, the correct answer is option F
Answer: no solution
Step-by-step explanation:
24x + 72 = 24x +12
-24x -24x
———————————
72=12
72 doesn’t equal 12 so the answer is no solution
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
<span>Given :
f(x)= 3 x – 6
and
g(x) = x –2
f(x)/g(x) = (</span>3 <span>x – 6 </span>)/(x - 2)
simplifying
f(x)/g(x) = 3( x – 2 )/(x - 2<span>)
</span><span>f(x)/g(x) </span>= 3
Domain : set of all real numbers,where x is not equal 2
