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2 years ago

How do you solve this ?

Mathematics

1 answer:

zloy xaker [14]2 years ago

6 0

Answer:

-2

Step-by-step explanation:

Step 1. Copy the given expression.

(a + y)^2 + 2y =

Step 2. Replace each variable by the value given.

We are given a = 5; y = -3.

= (5 + (-3))^2 + 2(-3)

Evaluate the expression using the correct order of operations.

= (2)^2 - 6

= 4 - 6

= -2

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Mole Conversion: What is the mass of 3.13 x 1023 molecules of carbon dioxide?

4vir4ik [10]

Answer:

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Step-by-step explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

$moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}$

moles= 0.52

Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

$mass=\frac{0.52 moles*44 g}{1 mole}$

mass= 22.88 g

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

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2 years ago

The perimeter of a rectangle is 96 cm. The length of the rectangle is 10 cm more than the width. Find the length and width of th

Amanda [17]

2x + (2x+20)= 96

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2 years ago

2/3 minus 2/3 What does that equal in fraction form

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3 years ago

Read 2 more answers

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

GuDViN [60]

Answer:

$P = 0.1447$

Step-by-step explanation:

Given

$n = 7000$ -- total

$d = 180$ --- defective

$r = 6$ --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

$Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}$

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

$Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}$