The store has sold 90 notebooks which is 20% of all the notebooks they had how many notebooks did the store have at first

Which of the following is the complex conjugate of the complex number below? 4+51i

Fynjy0 [20]

Answer is C

The conjugate of the complex number a+bi is a-bi

you just reverse the sign of the imaginary part of the number ; so it is 4-51i

5 0

3 years ago

HELPPPP MEEEE PLEASEEEEEEEE

Elden [556K]

Answer:

your answer is gonna be D!

Step-by-step explanation:

2x

2

+16x−7x−56

2 Collect like terms.

2{x}^{2}+(16x-7x)-56

2x

2

+(16x−7x)−56

3 Simplify.

2{x}^{2}+9x-56

2x

2

+9x−56

8 0

2 years ago

20y-10x=5 in slope intercept form can you explain the steps

Studentka2010 [4]

Given:

The equation is

$20y-10x+5$

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

$y=mx+b$

Where, m is slope and b is the y-intercept.

We have,

$20y-10x=5$

We need to isolate y. Add 10x on both sides.

$20y-10x+10x=5+10x$

$20y=5+10x$

Divide both sides by 20.

$\dfrac{20y}{20}=\dfrac{5+10x}{20}$

$y=\dfrac{5}{20}+\dfrac{10x}{20}$

$y=\dfrac{1}{4}+\dfrac{x}{2}$

$y=\dfrac{1}{2}x+\dfrac{1}{4}$

Therefore, the slope intercept form of the given equation is $y=\dfrac{1}{2}x+\dfrac{1}{4}$ .

4 0

2 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

5 0

2 years ago

Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=

My name is Ann [436]

Answer:

The volume = $5x^{5}+4x^{4}+x^{3}$

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = $5x^{5}+4x^{4}+x^{3}$

5 0

3 years ago