What is the conjugate of the product (2 - i)(1+2i)?

Answer:

x = -15/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-7 - 3x = 1x + 4(2 + x)

Step 2: Solve for x

Answer:

Step-by-step explanation:

1/4 :10=1/40

1/40=x/4

x=4/40=1/10

Answer:

His car is slowing down.

Step-by-step explanation:

During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.

Answer:

C.  His car is slowing down.

Step-by-step explanation:

The slope is going downwards, so this means that he is going slower.

Answer:

A

Step-by-step explanation:

[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]

Answer:

$1,078.68

Step-by-step explanation:

Here, we want to calculate the balance

That would be adding interest plus deposit plus balance minus withdrawals

That would be;

618.21 + 466.26 + 4.31 - 10.10 = $1,078.68

Answer: Option B

Step-by-step explanation:

Answer:

it's 11

Have a good day!!

Answer:

12 weekly payments

Step-by-step explanation:

Here, we want to get the number of weeks in which he made payment for the ring

We start by subtracting the deposit,

That would be;

225-75 = 150

Now, we proceed to divide what ie left by the weekly payment to get the number of weeks

That would be;

150/12.5 = 12

Answer:

12 weekly payments

Step-by-step explanation:

Here, we want to get the number of weeks in which he made payment for the ring

We start by subtracting the deposit,

That would be;

225-75 = 150

Now, we proceed to divide what ie left by the weekly payment to get the number of weeks

That would be;

150/12.5 = 12

Step-by-step explanation:

Answer:

1. x = 3

2. x = 6

3. not sure

Step-by-step explanation:

5x +2 (x+7) =14x -7

First expand the expandables

5x +2x +14 =14x-7

7x +14 =14x -7

14x -7x =14+7

7x=21 . Divide both sides by 7

x=3.

Step-by-step explanation:

1. 5x +2x + 2*7 =14x-7

7x + 14 = 14x - 7

14 +7 = 14x - 7x

21 = 7x

21/7 =x

4 =x

Answer:

the answer is 8 Pi

Step-by-step explanation:

just divide 16 by 2 because it's half of the diameter

Answer:

The answer is (8)

Step-by-step explanation:

I got it right on edge have a good day.

          ☆*: .｡. o(≧▽≦)o .｡.:*☆                  

Answer:

4x + 3 = 15

4x=15-3

x=12/4

x=3

Answer:

x≤-86

Step-by-step explanation:

Answer:

shuqhsuwbe

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(x)=2x-1

f(5)=2(5)-1=10-1=9

Answer:

11.12 %

Step-by-step explanation:

Given that,

There are 90 early admission tickets.

There are 810 regular tickets.

We need to find the percentage of the tickets sold were early-admission tickets.

[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]

So, the required percentage is 11.12 %.

Answer:

C

Step-by-step explanation:

Let's say you wanted to buy a television. The television cost $200 but you only have $100, so you ask your friend for some money. Your friend says they will give you money but you have to pay them back and pay them interest. So when you go pay them, you pay them $100 dollars along with the amount of money your friend wants you to pay them for borrowing their money. In the end you could end up giving them 120 instead of 100.

C. The charge for the privilege of borrowing money

Hope this helps you and you past your test good luck too you.

Answer:A

Step-by-step explanation: 10/37

Answer:

27

Step-by-step explanation:

It is an equilateral triangle, so all sides are 9 ft. 9*3=27.

Answer:

16x16x16

Step-by-step explanation:

The reason why is because a cube has six squares that make up the cube. 6/2= 3. The answer is the same as 16 to the power of 3.

Answer:

y = 5x - 2

Step-by-step explanation:

The equation at the bottom is already in slope-intercept form, or y = mx + b format. It lacks one missing piece: b, or the y-intercept. However, the slope of the equation must be 5, because the number in place of the m equals the slope.

So, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex], and substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values. From there, we can isolate y to receive the full equation in slope-intercept form.

Since m represents the slope, substitute 5 in its place. Since the [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any of the points provided and substitute its values into the formula. (Either one is fine, and I chose (1,3).) From there, isolate y to find the slope-intercept form and answer:

[tex]y-(3) = 5 (x-(1))\\y - 3 = 5(x-1)\\y - 3 = 5x -5\\y = 5x - 2[/tex]

Answer:

x = 4, BC = 17

Step-by-step explanation:

AC = AB + BC , substitute values

7x - 3 = 2x + 3x + 5

7x - 3 = 5x + 5 ( subtract 5x from both sides )

2x - 3 = 5 ( add 3 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Then

BC = 3x + 5 = 3(4) + 5 = 12 + 5 = 17

Answer:

the answer is D

Step-by-step explanation:

The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

1, 9/10, 4/5, 7/10

The first term of the sequence a = 1

The common difference of the arithmetic sequence is the difference between two consecutive terms.

d = 9/10 - 1

d = - 1/10

The common difference of the given arithmetic sequence is - 1/10.

To learn more about Arithmetic sequence on :

https://brainly.com/question/1452631

#SPJ5

Answer:

UNDEFINED

Step-by-step explanation:

I CACULATED IT ON A ADVANCED CACUALTOR  ANY IT DOSENT SAY ANYHITNG LOL

Answer:

1.8

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  ≈  1.78522264

x ≈ 1.8

Answer:

MC is 10 in.

Step-by-step explanation:

The given parameters for the triangle ΔABC are;

m∠B = 90°

m∠C = 15°

M ∈ BC

m∠BAM = 60°

AM = 10 in.

From the given information, ΔABC is drawn using Microsoft Visio, from which we have ΔACM

m∠CAM = 75° - 60° = 15° (By angle addition postulate)

m∠CAM = 15° = m∠C, therefore, ΔACM is an isosceles triangle with base angles, m∠CAM and m∠C each equal to 15°

AM = 10 in. = MC, by definition of isosceles triangle

∴ MC = 10 in.

Answer:

A) Se requiere 10 árboles por hilera.

B) El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.

Step-by-step explanation:

A) A continuación, realizamos la descomposición factorial de cada número:

Naranjos

[tex]720 = 2 \times 2 \times 2 \times 2 \times 3\times 3\times 5[/tex]

[tex]720 = 2^{4}\times 3^{2}\times 5[/tex]

Mandarinos

[tex]250 = 2\times 5\times 5\times 5[/tex]

[tex]250 = 2\times 5^{3}[/tex]

Mamoneros

[tex]360 = 2\times 2\times 2\times 3\times 3\times 5[/tex]

[tex]360 = 2^{3}\times 3^{2}\times 5[/tex]

Nísperos

[tex]480 = 2\times 2\times 2\times 2 \times 2\times 3\times 5[/tex]

[tex]480 = 2^{5}\times 3\times 5[/tex]

El máximo común divisor de los cuatro números representa el número de árboles de cada hilera considerando el menor número posible de hileras, cuyo valor es [tex]2\times 5 = 10[/tex]. Se requiere 10 árboles por hilera.

B) El número de hileras por árbol se determina al dividir el total de cada tipo de árbol por el resultado del punto anterior:

Naranjos

[tex]x = \frac{720}{10}[/tex]

[tex]x= 72[/tex]

Mandarinos

[tex]x = \frac{250}{10}[/tex]

[tex]x = 25[/tex]

Mamoneros

[tex]x = \frac{360}{10}[/tex]

[tex]x = 36[/tex]

Nísperos

[tex]x = \frac{480}{10 }[/tex]

[tex]x = 48[/tex]

El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.

Teniendo en cuenta la definición de m.c.m:

A) Se requieren 10 árboles por hilera.

B) El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.

A) Para hallar la cantidad de árboles que posee cada hilera debes hallas el m.c.d entre 720, 250, 360 y 480.

El máximo común divisor, m.c.d., de dos o más números es el mayor número que divide a todos de manera exacta, es decir, es el mayor de los divisores que tienen en común dos o más números.

El mínimo común múltiplo se suele expresar con las siglas m.c.d. (a, b), siendo a y b los números.

Para calcular el mínimo común múltiplo de dos o más números, de debe descomponer los números en factores primos (son los números que sólo son divisibles por sí mismos o por el número 1). En este caso:

720= 2×2×2×2×3×3×5= 2⁴×3²×5

250=2×5×5×5= 2×5³

360=2×2×2×3×3×5= 2³×3²×5

480=2×2×2×2×2×3×5= 2⁵×3×5

El mínimo común múltiplo se obtiene escogiendo todos los factores comunes, elevados a la menor potencia. Es decir, se escoge aquellos factores que aparecen en todas las descomposiciones la menor cantidad de veces. En este caso:

mcd (720,250,360, 480)= 2×5= 10

Entonces, se requiere 10 árboles por hilera.

B) El número de hileras por árbol se determina al dividir el total de cada tipo de árbol por la cantidad de árboles que se requiere por hilera:

Naranjos: 720÷10= 72

Matas de mandarina: 250÷10= 25

Mamon: 360÷10= 36

Níspero: 480÷10= 48

El agricultor necesita 72 hileras de naranjos, 25 hileras de mandarinos, 36 hileras de mamoneros y 48 hileras de nísperos.

Learn more:

Answer: 1

Anything to the 0 power is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:

3² = 3 * 3

3³ = 3 * 3 * 3

However, anything to the zeroth power is 1.

Why?

Well, for those above examples, take 3², you can also write it as:

3² = 1 * 3 * 3

It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.

In 3 to the zeroth power, there are zero 3's:

3° = 1

Now it has only the one.

This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.

Answer:

If Carter bikes 1/4 mile in 5/6 minutes, he bikes 1/4 mile in 50 seconds. (5/6 of a minute is equal to 50 seconds)

At this rate, if Carter bikes 1/4 mile in 50 seconds, he will be able to bike 2/4 of a mile in 100 seconds, 3/4 of a mile in 150 seconds, and a whole mile (4/4) in 200 seconds.

Converting 200 seconds to minutes, we have that it takes Carter 3 1/3 minutes to bike 1 mile.

Let me know if this helps!

Answer:

x = 7

Step-by-step explanation:

The parameters of the triangle having bisected angle are;

The length of the opposite and adjacent side of one of the halves of the bisected angle = 6 and 14 respectively

The length of the opposite and adjacent side of the other half of the bisected angle = (3·x - 12) and 21 respectively

By the angle bisector theorem, we have;

[tex]\dfrac{14}{6} = \dfrac{21}{3\cdot x - 12}[/tex]

Simplifying, we get;

[tex]\dfrac{14}{6} = \dfrac{2 \times 7}{2 \times 3} = \dfrac{7}{3}[/tex]

[tex]\dfrac{21}{3\cdot x - 12} = \dfrac{3 \times 7}{3 \times (x - 4)} = \dfrac{7}{x - 4}[/tex]

[tex]\dfrac{7}{3} = \dfrac{7}{ x - 4}[/tex]

7 × (x - 4) = 3 × 7

∴ x - 4 = 3

x = 3 + 4 = 7

x = 7.