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3 years ago

3g) | Which is the simplified form of the expression 14:

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer:Use your order of Operations to solve

- Parentheses

- Exponents

- Multiplication and Division, Left to Right

- Addition and subtraction, Left to Right.

So, the inner most parentheses we have is (42 - 32), which gives us 10:

3[14 ÷ 10 - 5]

Division is of higher precedence than subtraction, so next we determine 14 ÷ 10 and get

3[1.4 - 5]

Subtraction within the brackets is next:

3 [-3.6]

And now, with only a constant inside the brackets, multiply:

3 * [-3.6] = -10.8

Step-by-step explanation:

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3 years ago

Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

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3 years ago

Carrie has 300 marbles 25 of the marbles are green 15% of the marbles are red and the rest of the marbles are blue how many blue

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Answer:

230.

Step-by-step explanation:

$\: \: \: \: 300 - 25 - \frac{15}{100} \times 300 = \\ = 275 - 45 = \\ = 230$

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