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MissTica
3 years ago
8

If A and B are positive integer and A∆B =A(A+2B) , what is the value of 2∆(4∆(1∆B)} ?​

SAT
1 answer:
Mariulka [41]3 years ago
3 0

If A ∆ B = A × (A + 2B) = A² + 2AB, then

• 1 ∆ B = 1 + 2B

• 4 ∆ (1 ∆ B) = 4 ∆ (1 + 2B) = 24 + 16B

• 2 ∆ (4 ∆ (1 ∆ B)) = 2 ∆ (24 + 16B) = 100 + 64B

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If the molecules in the above illustration react to form nh3 according to the equation n2 + 3 h2 2 nh3 ,.
Dennis_Churaev [7]

A. The limiting reagent in the reaction is N₂

B. The number of mole of NH₃ molecules produced is 4 moles

C. The number of H₂ molecules in excess is 1 mole

<h3>A. How to determine the limiting reactant </h3>

From the diagram,

  • Mole of N₂ = 2 moles
  • Mole of H₂ = 7 moles

N₂ + 3H₂ —> 2NH₃

From the balanced equation above,

1 mole of N₂ requires 3 moles of H₂.

Therefore,

2 moles of N₂ will require = 2 × 3 = 6 moles of H₂

From the above illustration, we can see that only 6 moles out of 7 moles of H₂ given is required to react completely with 2 moles of N₂.

Therefore, N₂ is the limiting reactant

<h3>B. How to determine the mole of NH₃ produced </h3>

In this case, the limiting reactant will be used. This is illustrated below:

N₂ + 3H₂ —> 2NH₃

From the balanced equation above,

1 mole of N₂ reacted to produce 2 moles of NH₃.

Therefore,

2 moles of N₂ will react to produce = 2 × 2 = 4 moles of NH₃.

Thus, 4 moles of NH₃ molecules were obtained from the reaction.

C. How do determine the excess reactant

From A above, we discovered that N₂ is the limiting reactant.

Therefore, H₂ will be the excess reactant.

<h3>Further proof</h3>
  • Mole of H₂ given = 7 moles
  • Mole of H₂ that reacted = 6 moles
  • Excess of H₂ =?

Excess of H₂ =  7 – 6

Excess of H₂ = 1 mole

<h3>Complete question:</h3>

See attached photo

Learn more about stoichiometry:

brainly.com/question/14735801

4 0
2 years ago
Approximate the probability that X is greater than 70 and less than 90.
Dima020 [189]

The probability that X is greater than 70 and less than 90 is; 0.85

<h3>How to find the probability?</h3>

Let X be the binomial random variable with the parameters:

n = 200

p = 0.4

Then, the random variable Z defined as:

Z = (X - np)/(√(np(1 - p)

The probability that X is greater than 70 and less than 90 is expressed as; P(70 < X < 90)

At X = 70, we have;

Z = (70 - (200*0.4))/(√(200 * 0.4(1 - 0.4))

Z = -1.44

At X = 90, we have;

Z = (90 - (200*0.4))/(√(200 * 0.4(1 - 0.4))

Z = 1.44

Thus, the probability would be expressed as;

P(-1.44 < Z < 1.44)

From online p-value calculator, we have;

P(-1.44 < Z < 1.44) = 0.85

Complete question is;

Suppose that X is a binomial random variable with n = 200 and p = 0.4 Approximate the probability that X is greater than 70 and less than 90.

Read more about probability at; brainly.com/question/4621112

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