Step-by-step explanation:
A playing card is in the form of a rectangle whose perimeter is equal to 28 cm and area is 45 cm².
If l and b are length and breadth of the rectangle.
Area,
Perimeter,
Put the value of l from equation (1) to equation (2). So,
Put the value of b in equation (1),
If b = 5 cm
If b = 9 cm
So, the dimensions of the playing card is 9 cm by 5 cm.
Since the first car travels 55 miles per hour and starts an hour early, by 4:00 it is 55 miles away from the other car. Therefore, the equation is 55+a(some value)+b(another value)=380. If a car travels 55 miles per hour, that means that we add 55 for each hour and 55*x (if x is the number of hours) is the distance traveled. We have accounted for the first hour, so this is similar to saying that they start 55 miles away at 4:00 and go from there. For the other car, since it travels 75 miles per hour, its distance in hours is 75*x (the amount of time spent should be the same if we start at 4:00). Therefore, since they travel away from each other, our total distance is 55+55x+75x=380. Subtracting 55 from both sides (and combining like terms), we get 130x=325. Next, we divide both sides by 130 to get 2.5 hours, or 2 hours and 30 minutes
The become in the inequality form is -3≥x≥4.
According to the statement
we have given that the statement and we have to write this condition in the form of the inequality.
So, we know that the
Inequality, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
It is represented with the grater than or less than or equal to signs.
so, the given statement is
x is less than or equal to negative 3 or greater than or equal to 4
and we have to write in the inequality condition so,
we have to write it but before this break the statement like
x is less than or equal to negative 3
And
x is greater than or equal to 4.
So,
-3≥x≥4.
So, The become in the inequality form is -3≥x≥4.
Learn more about Inequality here
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Answer:
The substance's half-life is 6.1 days.
Step-by-step explanation:
The half-life of the substance can be calculated by knowing the constant decay:
k: is the decay constant = 0.1133 d⁻¹
Hence, the half-life is:
Therefore, the substance's half-life is 6.1 days.
I hope it helps you!
Hey there!
Geometric sequences have a common ratio. In this case, we can see that it is always multiplied by -3.
The formula for a geometric sequence is starting number multiplied by the quantity of the the common ratio to the power of the term number in the sequence minus 1.
In our case, we will have 2*-3^11-1. We will now simplify this.
2*-59049= -118098
Therefore, our answer is -118098.
I hope this helps!