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3 years ago

Simplify please (10 points)

Mathematics

2 answers:

Ludmilka [50]3 years ago

7 0

Answer:

The answer is 4th point

Step-by-step explanation:

√5(10 - 4√2)

= (√5×10)-(√5×4√2)

= 10√5 - 4√10

sweet [91]3 years ago

3 0

Answer: D

Step-by-step explanation:

You multiply each term in the parenthesis by √5 then calculating the product. Hope the helped! :D

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What is percent 45 is 72?

agasfer [191]

Answer:

160% of 45 is 72.

Step-by-step explanation:

72/45=1.6

1.6=160%

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3 years ago

[20 POINTS] Find the area of the rectangle

zvonat [6]

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3 years ago

If y=(x^2-4)^5(3x+4)^4

alexira [117]

Answer:

$y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)$

Step-by-step explanation:

$y=(x^2-4)^5(3x+4)^4$

$y'=[\frac{d}{dx}(x^2-4)^5](3x+4)^4+(x^2-4)^5[\frac{d}{dx}(3x+4)^4]$

$y'=10x(x^2-4)^4(3x+4)^4+(x^2-4)^5(12(3x+4)^3)$

$y'=10x(x^2-4)^4(3x+4)^4+12(x^2-4)^5(3x+4)^3$

$y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)$

5 0

2 years ago

Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se

Zepler [3.9K]

<h3>Given</h3>

Two positive numbers x and y such that xy = 192

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

6 0

3 years ago

The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet

nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

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.

The feet of the average adult woman are 24.6 cm long

This means that $\mu = 24.6$