Answer:
5 gallons of water must be added.
10 gallons to start with
adding 'x' gallons of water final volume = 10 + x
.9 (10) = amount of vinegar
.1(10) = amount of water
amount of vinegar before and after water addition is constant
.9(10) = .6(10+x)
9 = 6 + .6x
3 = .6x
x = 5 gallons of water to be added
(i truly hope i helped you
Answer:
x
3
Step-by-step explanation:
if x = 3 then the rational expression 4 / (x - 3) is undefined
because we get 4/0 = undefined .
You're correct, the answer is C.
Given any function of the form

, then the derivative of y with respect to x (

) is written as:

In which

is any constant, this is called the power rule for differentiation.
For this example we have

, first lets get rid of the quotient and write the expression in the form

:

Now we can directly apply the rule stated at the beginning (in which

):

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
Answer:
Step-by-step explanation:
1.5 + 1 13/16
O.5 = 1/2
(1+1)+(1/2 + 13/16)
2 + (8/16 + 13/16) = 2 21/16
Answer:
The velocity of the particle will be zero for t = 1.47 sec .
Step-by-step explanation:
Given equation:
a(t)=t+sin(t)
lets integrate it with respect to time,
∫ a(t) dt = ∫(t+sin(t)) dt
⇒ v(t) =
- cos(t) +c
At, t=0, v= -2 so,
⇒ -2 = 0 - 1 +c
⇒ c= -1
Hence,
v(t) =
- cos(t) -1
for the velocity to be zero,
0 =
- cos(t) -1
⇒ t = 1.47 sec (taking only positive value)
So at 1.47 sec the velocity of particle will be zero.