All categories

3 years ago

What's the answer to the math question

Mathematics

1 answer:

algol133 years ago

6 0

10m^3-m^2-6m+9 is the answer

You might be interested in

Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

6 0

3 years ago

What is/are the variable(s) in this expression: 6a-7b+8

Tomtit [17]

Answer:

a , b

Step-by-step explanation:

ans this are the variables

5 0

3 years ago

Answer each question using ratios.

Gnom [1K]

Answer:

B) 42:28

Step-by-step explanation:

First, let's get 12:18 simplified to make it easier to compare:

12:18 -> 4:6 - > 2:3

Now let's check it against all the options:

A) 20:30 -> 2:3 and 2:3 = 2:3

Not our answer as it is congruent (equal too, the same as, etc)

B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!

42:28

(it simplifes to 6:4 -> 3:2)

(we do not have to do the following as we already have an answer, but here is the math)

C) 4:6

4:6 ->

2:3 = 2:3

D) 2:3

2:3 = 2:3

5 0

2 years ago

A researcher reports survey results by stating that the standard error of the mean is 20. The population standard deviation is 5

Mekhanik [1.2K]

multiply 20 by 500. it should help you with the problem.

5 0

3 years ago

Asssesmenttt lasttt......

ratelena [41]

Answer:

( About ) 1.77 seconds; Option B

Step-by-step explanation:

We are given the equation h ( t ) = - 16t^2 + 50, so in order to determine the time let us determine the x - intercept for y ⇒ 0;

- 16t^2 + 50 = 0,

- 16t^2 = - 50,

t^2 = 25 / 8,

Thus t ⇒ √ ( 25 / 8 ), and t ⇒ - √ ( 25 / 8 ),

t ⇒ ( 5√2 )/ 4, and - ( 5√2 )/ 4,

But time is represented only by a positive value, thus

t ⇒ ( 5√2 )/ 4 = 1.767766953......., ( About ) 1.77 seconds

Answer; ( About ) 1.77 seconds; Option B

7 0

3 years ago