Answer: Domain of function is or (0,
)
Step-by-step explanation:
Assuming x as width of rectangle
so, Width = x
Question says, Length is 5in more than 3 times id width.
we write as Length = 3x+5
Therefore, Area of rectangle will be given function f(x)
f(x) = x(3x+5)
Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.
we can write in equation as
Thus, Domain of function is or (0,
)
SOLUTION:
Step 1:
In this question, we are given the following:
A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.
Part A) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee.
Step 2:
The details of the solution are as follows:
The graph of:
is as follows:
Answer: AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <em><u>this must be a concave pentagon. </u></em>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE:
DE:
Add those lengths and the remaining sides of the "rectangle shown below" to calculate the perimeter.
280+150+120.83+148.66= 699.49
Answer:
Step-by-step explanation:
Probably the easiest way to set this up and solve it is to use proportions. We'll put miles on the top and gallons on the bottom:
Since we know the first unit rate of 32 miles per 1 gallon, we put those numbers where they belong in another fraction (ratio), with the number of miles on top with the "mi" and the number of gallons on bottom with the "gal":
Now we fill in what we know about the second ratio and leave the unknown to be solved for. We want to know how many gallons of gas, x, does he need to travel 500 miles. We put the 500 with the "mi" and the x for "gal":
and cross multiply to solve.
32x = 500 so
x = 15.6 or, to the nearest whole gallon, 16 gallons.