Answer: She needed 144 square feet of carpet.
Step-by-step explanation:
Given : Maria is buying new carpet. Her bedroom is in the shape of a square.
The length of each side is 12 feet.
We know that the area of square =
So , the area of the bedroom = [which is an exponential expression]
Simplify it
The area of the bedroom =
Also, the carpet she needed = Area of the bedroom.
Thus , She needed 144 square feet of carpet.
It is given in the question that
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation
To solve for C, we need to get rid of 273.15 and for that we do subtraction, that is
Correct option is the first option .
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Answer:
<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ = 0</h3>Step-by-step explanation:
Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰
S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰
S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀
then, S is the sum of 100 consecutive terms of a geometric sequence (an)
where the first term a1 = i¹ = i and the common ratio = i
FORMULA:______________________
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then
or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)
Hence
S = 0
Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by in grams, is governed by the differential equation,
which is linear. Move the term to the right side, then multiply both sides by
:
Integrate both sides, then solve for :
Since the tank starts with 5 g of salt at time , we have
The time it takes for the tank to hold 20 g of salt is such that