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Zanzabum
4 years ago
12

If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?

Mathematics
2 answers:
GuDViN [60]4 years ago
8 0
Here is a step-by-step process to solve this problem.
TiliK225 [7]4 years ago
4 0

Answer:

2a² - \frac{2}{a^2} = 0

Step-by-step explanation:

If 2a + 2/a = 4

Multiplying by a throughout to get:

2a² + 2 = 4a

Making this a quadratic equation:

2a² - 4a + 2 = 0

Dividing by 2 throughout:

a² - 2a + 1 = 0

Applying the quadratic formula:

a = \frac{2 +/- 0}{2}

a = 1

2a² - \frac{2}{a^2} = 2 - 2 = 0

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What would the area of the cross section be that goes through the center below?
Sav [38]

Answer: 201.06 cm^2

Step-by-step explanation: We're just solving for the area of a circle. A = pi•r^2. The diameter is 16 which is 2r so r = 8. 8^2 • pi = 64pi = 201.06 (rounded to 2 decimals)

7 0
3 years ago
Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
Delicious77 [7]

Answer:

Answered and explained below

Step-by-step explanation:

A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125

Sample size; n = 150

Formula for mean is;

μ = np

μ = 150 × 0.125

μ = 18.75

Formula for standard deviation is;

σ = √(np(1 - p))

σ = √(150 × 0.125(1 - 0.125))

σ = √16.40625

σ = 4.05

B) usually, when np ≥ 10 , we make use of normal distribution.

I'm this case, it is 18.75 which is greater than 10.

Thus,we can use a normal model to approximate the distribution.

C) we are told that he found the trait in 22 of the frogs.

Thus;

Proportion is now; 22/150 = 0.1467

This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.

6 0
3 years ago
State the domain and range of the following relation.<br> (picture included) <br> please help!
Akimi4 [234]
Domain = what x values are used
Range = what y values are used

so duplicates do not matter, ascending ordering is useful.

Then you can find that answer C correctly lists the right values.
5 0
4 years ago
The company wants to use the package that has the
MrRissso [65]

Answer:

C. the cylinder because it has approximately 11.6 less wasted space than the prism.

Step-by-step explanation:

6 0
3 years ago
Aaron's annual salary is 2/3 as much as dories salary Aaron makes 460000=2/3x
VashaNatasha [74]

Answer: Dorie's salary is $690000.

Step-by-step explanation:

Since we have given that

Let the salary makes by Dorie be x

Annual salary of Aaron = $460000

According to question, Aaron's salary is \frac{2}{3} as  much as Dorie's salary.

So, it becomes,

\frac{2}{3}x=460000\\\\x=\frac{3}{2}\times 460000\\\\x=\$690000

So, Dorie's salary is $690000.

3 0
4 years ago
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