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2 years ago

16y5+4y5-12y3+15y3? What is the simplified form?

Mathematics

2 answers:

Eddi Din [679]2 years ago

3 0

Answer:

$20y^5+3y^3$

Step-by-step explanation:

$16y^5 + 4y^5 -12y^3 + 15y^3$

All we can do here is combine like terms (add those that have the same the same exponent)

$20y^5+3y^3$

Good luck!

Salsk061 [2.6K]2 years ago

3 0

Answer:

$20y^{5} +3y^{3}$

Step-by-step explanation:

$16y^{5} +4y^{5} =20y^{5}$ and $-12y^{3} +15y^{3} =3y^{3}$

So $20y^{5} +3y^{3}$

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<h3>12 children</h3>

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2 years ago

The set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?

goldfiish [28.3K]

Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}

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Explanation:

The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.

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3 years ago

What’s 34.5 divided by 10.0

11111nata11111 [884]

When dividing by a multiple of 10, depending on if it's greater than 0, The decimal place would move. In this case, the decimal place in 34.5 would move more to the left making the answer 3.45.

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2 years ago

The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista

baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

$1.28 = \frac{10.634 - \mu}{\sigma}$