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Monica [59]
3 years ago
11

What is the sum? (1/x+2)+(1/x+3)+(1/X^2+5+6)

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0
For this case we have the following expression:
 (1 / x + 2) + (1 / x + 3) + (1 / X ^ 2 + 5 + 6)
 Rewriting we have:
 (1 / x + 2) + (1 / x + 3) + (1 / ((x + 2) * (x + 3)))
 By doing common factor we have:
 (1 / ((x + 2) * (x + 3))) * (x + 3 + x + 2 + 1)
 Rewriting:
 (1 / ((x + 2) * (x + 3))) * (2x + 6)
 The sum is:
 ((2x + 6) / ((x + 2) * (x + 3)))
 Answer:
 
((2x + 6) / ((x + 2) * (x + 3)))
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At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.
notsponge [240]

Answer:

1920 men are there in college.

Step-by-step explanation:

Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.

Ratio states that it is just a comparison between, or a relating of, two different things.

i.e a to b or a: b

Ratio of men to women:

Men : Women = 6: 5

Let x be the number.

Total number of Men in college = 6x and Total number of women = 5x

Since, total number of students = 3520

⇒6x + 5x = 3520

Combine like terms;

11x = 3520

Divide by 11 on both sides we get;

x = 320

Therefore, total number of men in college = 6x = 6(320) = 1920


4 0
2 years ago
Simplify the following expression<br> by combining like terms.<br> 3b + 8 – 3- b = 2b + [?]
babymother [125]
The missing term is 5
3 0
3 years ago
Which of the following represents the factorization of the trinomal below
Allisa [31]
I believe B. is your answer. If you use the ac method, you will multiply 8 and 3 which is 24. So now, what factors of 24 will give you 10?6 and 4

Now substitute

8 {x}^{2}  + 4x + 6x + 3
Now do factorization by grouping.

4x(2x + 1) + 3(2x + 1)
Therefore, your answer is (4x+3)2x+1)
6 0
3 years ago
Find the sizes of the angles marked with a letter.<br> Why is my answer wrong?
jeyben [28]

Answer:

29.28 degrees.

Step-by-step explanation:

sin x / 16.2 = sin 49 / 25

Cross multiply:

25 sin x = 16.2 * sin 49

sin x = (16.2 * sin 49) / 25

sin x = 0.48905

x = 29.28 degrees.

8 0
3 years ago
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
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