The young modulus of a wire with an area of 0.01 m², that strain 6.25 * 10⁻³ if a load of 100N is applied is 16000 N/m²
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The young modulus is given as:
Young modulus = stress / strain = load / (area * strain) = 100 / (0.01 * 6.25 * 10⁻³) = 16000 N/m²
The young modulus of a wire with an area of 0.01 m², that strain 6.25 * 10⁻³ if a load of 100N is applied is 16000 N/m²
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Answer:
x = 4 and y = - 5
Step-by-step explanation:
note that the product of a complex number and it's conjugate is real
That is
(a + bi)(a - bi) where a, b are real
= a² - abi + abi - b²i²
= a² + b² ← a real number
For (4 + 5i)(x + yi) to be real
we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i
(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5
<h3>The system of inequalities are:</h3>
<em><u>Solution:</u></em>
Let "x" be the number of hours spent at moving lawn
Let "y" be the number of hours spent at baby sitting
Therefore,
Suppose you can spend no more than 15 hours a week at your two jobs
Which means, you can spend less than or equal to 15 hours
Moving lawns pays $3 an hour and babysitting pays $5 an hour. You need to earn at least $60 a week.
Which means, you have to greater than or equal to 60 a week
Therefore,
Thus the two inequalities are found
C(x)=rx+s we are told that x=3, c(x)=21, and s=3
21=3r+3 divide both sides by 3
7=r+1 subtract 1 from both sides
6=r so now c(x) becomes:
c(x)=6x+3
The hard drive was 24.32% full when the transfer began.
4.4 x 32 = 140.8
384 - 140.8 = 243.2
243.2 divided by 1000 = 0.2432
Move the decimal 2 places to the right to create a percentage and you now have your answer of 24.32%