After a little manipulation, the given diff'l equation will look like this:
e^y * dy = (2x + 1) * dx.
x^2
Integrating both sides, we get e^y = 2------- + x + c, or e^y = x^2 + x + c
2
Now let x=0 and y = 1, o find c:
e^1 = 0^2 + 0 + c. So, c = e, and the solution is e^y = x^2 + x + e.
The inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
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We have:
The target temperature for a laboratory is 72° Fahrenheit. It can vary by up to 2°.
Target temperature = 72 degree Fahrenheit
It can vary by up to 2°. (the highest limit)
The temperature in the laboratory represented by t
Now,
inequality represents this situation is:
|t - 72| ≤ 2
Thus, the inequality |t - 72| ≤ 2 represents the target temperature for a laboratory is 72° Fahrenheit, and it can vary by up to 2° option (D) is correct.
Learn more about the inequality here:
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The first figure has 3 line segments.
the second figure has 3+3 =3*2 = 6 line segments
the third figure has 3+3+3 = 3*3 = 9 line segments
the fourth figure has 3+3+3+3=3*4=12 line segments...
so it is clear that:
the 20th figure has 3*20=60 line segments.
Answer: 60
<span>Yes since percents can be decimals and these decimals can be illustrated as fractions hence, vice-versa.
80%= 0.8 = 4/5
A rational number is any number or numerical value which can be possibly stated in a fraction form of numbers, it basically has a numerator and denominator. Furthermore, the values of the numerator and denominator is integers and doesn’t equal to 0. In this given case of 8 over 5 or 8/5 this fractional number can still be expressed in a standard numerical form with a decimal as 1.6 without repeating decimal values. Unlike irrational numbers which is not possible, take for instance 3.1416… and so on which cannot be “fractionized”.<span>
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