Answer:
A. 24 lap/hour.
B. r = 24h
Step-by-step explanation:
Let r be the number laps.
Let h be the time.
From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:
r & h
r = Kh
Where:
r is the number of laps.
K is the constant of proportionality.
h is the time.
A. Determination of the constant of proportionality.
With the above formula, we can calculate the value of the constant of proportionality, K as follow:
Number of laps (r) = 12 laps
Time (h) = ½ hour
Constant of proportionality (K) =.?
r = Kh
12 = K × ½
12 = K/2
Cross multiply
K = 12 × 2
K = 24 lap/hour
Therefore, constant of proportionality is
24 lap/hour.
B. Equation for relationship between the number of lap and time. This is illustrated below:
r = Kh
K = 24
r = 24h
Therefore, the equation for relationship between the number of lap and time is r = 24h
Answer:
$44.10
Step-by-step explanation:
Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer.
Have a nice day and stay safe, all love from jen <3
First picture:
You got the first two right (good job!), so I'll just tackle the third one. If you have to compute 
, it means that you have to substitute 
in place of 
. Differently from the first two points, this will generate a new function, rather than a specific value:
Second picture:
Given the point 
highlighted in the picture, you can deduce that the base is 
units long (since it spans from 
to 
) and the height is 
units long (because it spans from to ). So, the area of the rectangle is the multiplication between base and height:
But we know that 
, so we have
The domain of this function is given by the domain of the square root: we want its argument to be non, negative, so we have
But since the problem is symmetric, the answer is
You can only see the answer 
because, if you choose 
or 
, the rectangle degenerates to a segment, and your exercise doesn't like this scenario, apparently
It’s easy!
Since you’re increasing 1.6% to $1252 you write the expression as:
=1252+1.6% of 1252
=1252+(1.6/100)*1252
=1252+0.016*1252
=1252+20.032
=1272.032
That’s your final answer
The required value of x is 4.
