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tatuchka [14]
2 years ago
7

What is

Mathematics
2 answers:
dangina [55]2 years ago
8 0

Answer:

A

Step-by-step explanation:

Murrr4er [49]2 years ago
5 0
Because 512+217 is 729, it is A
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Rectangle QRST is dilated by a scale factor of 1/2. What is the perimeter of rectangle Q'R'S'T'. (Please help)
natima [27]

Answer:

7

Step-by-step explanation:

take the perimeter of what you have now (14) and divide it by 2, because it is dilated by 1/2

8 0
2 years ago
Find the pattern and use it to list the nth term in the sequence. <br> 1, 1/32,1/243,1/1024,1/3125
Yuki888 [10]
1;\ \frac{1}{32};\ \frac{1}{243};\ \frac{1}{1024};\ \frac{1}{3125}\\\\1=\frac{1}{1^5}\\\\\frac{1}{32}=\frac{1}{2^5}\\\\\frac{1}{243}=\frac{1}{3^5}\\\\\frac{1}{1024}=\frac{1}{4^5}\\\\\frac{1}{3125}=\frac{1}{5^5}\\\vdots\\\\a_n=\frac{1}{n^5}\ where\ n\in\mathbb{N^+}
5 0
3 years ago
Simplify: ( 6 to the second power minius 7 times 3 ) + 3 cubed
Tju [1.3M]

Answer:

42

Step-by-step explanation:

6 to the second power minius 7 times 3 is 15 then with is cubed it would be 42

5 0
3 years ago
Use DeMoivre's Theorem to find (3cis*pi/6)^3
Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

7 0
2 years ago
Suppose medical records indicate that
Kay [80]

Answer:

Step-by-step explanation:

Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 20 inches

σ = 2.6 inches

the probability that a given infant is between 14.8 and 25.2 inches long is expressed as

P(14.8 ≤ x ≤ 25.2)

For x = 14.8,

z = (14.8 - 20)/2.6 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 25.2

z = (25.2 - 20)/2.6 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75

3 0
3 years ago
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