Answer:
We are given a equation as:
5log(x+3)=5
We are asked to find a graph that is used to solve the above equation.
We can write the given equation as:
we will divide both side of the equation by 5 to obtain:
log(x+3)=1
Now we have to determine which graph represents the function:
y=log(x+3)
since we know that when x=-2.
y=log(-2+3)=log(1)=0
Hence, the graph should pass through (-2,0).
Hence, the graph that satisfies this is attached to the answer.
Step-by-step explanation:
Answer:
-62/23 degrees per hour
Step-by-step explanation:
Do this by dividing the total change in temperature (-15 1/2 degrees) by the total elapsed time (5 3/4 hrs):
-31/2 degrees -62/4 degrees Note: convert 31/2 to 62/4
--------------------- = ------------------------ = -62/23 degrees per hour
23/4 hrs 23/4 hrs
Answer:
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Step-by-step explanation:
Let x = the rate of the boat in still water and y = the rate of the current.
Distance traveled = 24 miles
Time taken for upstream motion = 2 hour
Time taken for downstream motion = 1.5 hour
Velocity of upstream motion = x - y
Velocity of downstream motion = x + y
We have
Displacement = Time x Velocity
Upstream motion
24 = 2(x-y)
x - y = 12 ----------------------------eqn 1
Downstream motion
24 = 1.5(x+y)
x + y = 16 ----------------------------eqn 2
eqn 1 + eqn 2
2 x = 28
x = 14 miles per hour
Substituting in eqn 2
14 + y = 16
y = 2 miles per hour
Rate of Bill's boat = 14 miles per hour
Speed of the current = 2 miles per hour
Speed = dis / time
let plane speed in still air is X and air speed Y
so, X-Y = 2280/4 = 570 km/h
and X+Y = 6650/7 = 950 km/h
so, X = (570 + 950) / 2 = 760 km/h
and Y = 950- 760 = 190 km/h
:)
Answer:
7
Step-by-step explanation:
