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3 years ago

Solve the equation x. 6/∑/n-1 (x-3n)=-3

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

3 0

Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE x4n−3

DIFFERENTIATE W.R.T. X (4n−3)x4(n−1)

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Hey it would be helpful if you answer this question, thanks!

GrogVix [38]

Answer: 275,365 cm³

Explanation:

Volume of the water = (3.14)(30)²(100) - 4/3(3.14)(12)³ = 275,365 cm³

The Wise Orange knows that volume of a cylinder = πr²h and a sphere is 4/3πr³

7 0

4 years ago

Explain how you would round 39an 88

dedylja [7]

Depends what your talking about but the easy way is 40 and 90

7 0

3 years ago

Read 2 more answers

Which expression is a cube root of -1+i√3?

Tpy6a [65]

Answer:

The correct option is C.

Step-by-step explanation:

Root Of Complex Numbers

If a complex number is expressed in polar form as

$Z=(r,\theta)$

Then the cubic roots of Z are

$\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)$

$\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)$

We are given the complex number in rectangular components

$Z=-1+i\sqrt{3}$

Converting to polar form

$r=\sqrt{(-1)^2+(\sqrt{3})^2}=2$

$\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}$

It's located in the second quadrant, so

$\theta=120^o$

The number if polar form is

$Z=(2,120^o)$

Its cubic roots are

$\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)$

$\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)$

Converting the first solution to rectangular coordinates

$z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)$

The correct option is C.

8 0

3 years ago

A car used of a gallon of gas to drive of a mile. At this rate, how many miles

bonufazy [111]

Answer: 4/64
• 29
^ 3.5
Step-by-step explanation:
Since 1/4 * 4 = 1
We just have to multiply 1/64 times 4 to get the
answer
1/64 * 4 = 4/64

8 0

2 years ago

What is the slope of the line that passes through the points (9, 5) and (21, 1)?

AleksandrR [38]

Answer:

$\displaystyle m = \frac{-1}{3}$

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)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (9, 5)

Point (21, 1)

Step 2: Solve for slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{1-5}{21-9}$
[Fraction] Subtract: $\displaystyle m = \frac{-4}{12}$
[Fraction] Simplify: $\displaystyle m = \frac{-1}{3}$

5 0

3 years ago