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Dvinal [7]
3 years ago
11

Someone do as much of the page as possible (ill mark brainlyless)

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

Answer:

Step-by-step explanation:

1) a² - b² = (a + b)(a- b)

2) a³ + b³ = a³ + 3a²b + 3ab² + b³

3) a³ - b³ = a³ - 3a²b + 3ab² - b³

5) x⁴ - 36 = (x²)² - 6² = (x² + 6) (x² - 6)

6)64c³ +  1 = (4c)³ + 1³ = (4c)³ + 3(4c)²(1) + 3(4c)(1)³ + 1³

                  = 64c³ + 3(16c²) + 12c +1  

                   = 64c³ + 48c² +12c + 1

7) k³ - 27 = k³- 3³ =  (k + 3)(k - 3)

gayaneshka [121]3 years ago
6 0

Answer:

Step-by-step explanation:

the formula for the differences of squares  a^2-b^2  = (a+b) (a-b)

The formula for Sum of Cubes a^3-b^3= (a-b)(a^2+ab+b^2)

The formula for Difference of Cubes a^3-b^3= (a-b)( a^2+ab+b^2)

You can put this as answers for 1-3

4.Multiply the answer to see if you get the original polynomial.

and also use this formula to solve question 5-12

for x^4-36 you can use differences of squares formula  a^2-b^2  = (a+b) (a-b)

we need to rewrite x^4-36 as (x^2)2 -6^2

a=x^2 and b=6

So

(x^2+6)(x^2-6)

follow same step for rest let me know if you need more help

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Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig
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Answer:

3.84% probability that it has a low birth weight

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.

In this problem, we have that:

\mu = 3466, \sigma = 546

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

Z = \frac{2500 - 3466}{546}

Z = -1.77

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3 0
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You borrow $15,985 from your bank to pay for a new car. The interest rate on the loan is 4.25%
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=====================================

Explanation:

Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)

-----------------

Let the horizontal leg be x

This leg is opposite the angle 50 degrees. The hypotenuse is 7

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We'll either use the sine rule or the cosecant (csc) rule
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Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule

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cosecant = hypotenuse/opposite
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