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3 years ago

Add the complex numbers. (-2-4i)+(-12+7i) = ??

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

(-2-4i) + (-12+7i)

= -2-3i -12 + 7i

= -14 + 4i

lions [1.4K]3 years ago

6 0

Question:

(-2 - 4i) + (-12 + 7i)

= -14 + 3i

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Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
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Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

6 0

3 years ago

25 hundredths in simplest form

IRISSAK [1]

.25 or 1/4 Is the simplest form

5 0

3 years ago

Read 2 more answers

How do I factor this? Please explain the steps

Elena-2011 [213]

Answer: 2(x^2+1)^3 (-8x^4-16x^2+x-8)

Step-by-step explanation:

7 0

3 years ago

Pls help soon:)

Tanzania [10]

Correct answers are:
(1) 28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)

Explanations:
(1) Put x = 0 in given equation
y= 28, 141 (1.19)^x
y= 28, 141 (1.19)^(0)
y= 28, 141

(2) Put x = 6 in the given equation:
y= 28, 141 (1.19)^x
y= 28, 141 (1.19)^(6)
y= 79913.71

(3) Since
y= 28, 141 (1.19)^x
And y = 135,000

135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x

taking "ln" on both sides:
ln(4.797) = ln(1.19)^x

ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)

5 0

3 years ago

Pythagorean theorem a=7 and c=14. Can you explain how to find b?

nikdorinn [45]

Answer:

c squared - a squared = b squared

Step-by-step explanation:

Since a squared + b squared = c squared

With these values it would equal 14 squared - 7 squared = c squared

Then after you find c squared, find the square root of it and there you have go your answer!

8 0

3 years ago