Answer: 1/2
Explanation:
When y is inversely proportional to x. This implies that:
y = k/x
If y = –8 when x = –2, then the constant of proportionality will be;
y = k/x
-8 = k/-2
k = (-8 × -2)
k = 16
when x = 32, the value of y will be:
y = k/x
y = 16/32
y = 1/2
A mass movement of funds invested in the stock market could result in a stock market crash such as that of 1929.
Let a, b, and c be the coefficients in the balanced reaction:
a Fe + b Cl₂ → c FeCl₃
Count the atoms that show up among the reactants and products. They should be equal on both sides:
Fe : a = c
Cl : 2b = 3c
Let c = 2. Then a = 2 and 2b = 6, so b = 3.
Then the balanced reaction is
2 Fe + 3 Cl₂ → 2 FeCl₃
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The tension on each segment of the clothesline is : 110 N
<u>Given data : </u>
mass of object = 100 n = 10 kg
Horizontal distance of clothesline = 4 m
middle of clothesline sag s by : 1m
<h3 /><h3>Determine the tension on each segment of clothesline</h3>
<u>First step</u> : calculate the horizontal angle made by the sagging
β = arctan ( 1 m / 2m ) ----- ( 1 )
= arctan ( 0.5 )
≈ 26.57°
Note : Tension in th y axis ( Ty ) = Tsinβ
Therefore :
Tension on each segment can be calculated using the formula below
2Tsinβ - mg = 0
solve for T
T = mg / 2sinβ
= ( 10 * 9.8 ) / 2 * sin 26.57°
= 98 / 0.89
= 110 N
Hence we can conclude that the tension on each segment of the clothesline is : 110 N
Learn more about Tension calculations : brainly.com/question/24994188