Answer:
10 in.
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of the 4 sides.
perimeter of rectangle = length + length + width + width
Opposite sides of a rectangle have the same length. Since one side measures 4 inches, the opposite side also measures 4 inches. Since one side measures 1 inch, the opposite side also measures 1 inch. There are two 4-inch sides and two 1-inch sides.
perimeter = 4 in. + 4 in. + 1 in. + 1 in.
perimeter = 10 in.
Answer: About 6.71 units
Step-by-step explanation:
You use the distance formula:
.
Assign the the two points to the variables:

Substitute them in the formula:

And solve it:

Answer:

Step-by-step explanation:
A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%
The slope formula is given by

m = 8% = 8/100
run = y = 2km




Verification:
%
Answer:
ANSWER :
285.12
discount amount =45/00 x 480=45 x 48/10
=216.0
price of discount =480-216=264
salex tex 8/100 x 264. =21.12
total many of spend 264+21.12=285.12
The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)
<h3>How to calculate Exponential Growth?</h3>
The formula for exponential growth is;
P = P₀e^(rt)
where;
P = current population at time t
P₀ = starting population
r = rate of exponential growth/decay
t = time after start
Thus, from our question we have;
4500 = 1500 * e^(r * 1)
4500/1500 = e^r
e^r = 3
In 3 = r
r = 1.0986
Thus, the function that represents the growth of this culture of bacteria as a function of time is;
P = 1500e^(1.0986t)
For the culture to double, then;
P/P₀ = 2. Thus;
e^(1.0986t) = 2
In 2 = 1.0986t
t = 0.6931/1.0986
t = 0.631 hours
Read more about Exponential Growth at; brainly.com/question/27161222
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