Answer:
A) d = 48t, d in miles, t in hours
B)d = 32t, d in miles, t in hours
C)y = 8 mph
Step-by-step explanation:
16 miles in 20 mins = 48 mph
16 miles in 30 mins = 32 mph
The boat speed is the average = (48 + 32)/2 = 40 mph
The current is the difference = 8 mph
The solution to a given word problem by writing it as an equation is k = 253/232
<h3>Expressing word problems in mathematical forms:</h3>
The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.
From the given information, to express the word problem in mathematical form, we have:
Making k the subject of the equation, we have:
k = 253/232
Learn more about expressing word problems here:
brainly.com/question/10556265
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Answer: 23 + 9 = 32
Step-by-step explanation:
Answer:
<u>First question answer:</u> The limit is 69
<u>Second question answer:</u> The limit is 5
Step-by-step explanation:
For the first limit, plug in 
in the expression 
, that's the answer for linear equations and limits.
So we have:
The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value 
into the simplified expression to get the correct answer. Shown below:
<em>Now putting 1 in 
gives us the limit:</em>
So the answer is 5
Answer:
The correct option is;
r = √(x² + y²)
θ = tan⁻¹(y/x)
Step-by-step explanation:
The rectangular coordinate of a complex number on the complex plane is given as (x, y)
Given that the complex number is represented by a point on the plane, we have;
The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)
The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)
