Paula wants to know the favorite type of music for students at her school. She surveys the first 60 people who enter the school doors in the morning. (circle the correct choice below) FAIR or BIASED

Answer:

  none

Step-by-step explanation:

We assume you intend positive rational bases.

[tex]663_b[/tex] is divisible by 3, so cannot be prime.

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

Answer: 1. a

2. -75

Step-by-step explanation:

Answer:

1.A 2.-75

Step-by-step explanation:

I solved it and got those awnsers

Answer:

2.25 +3/4x = y

Step-by-step explanation:

2.25 +3/4x = y

Answer:

rectangle

Step-by-step explanation:

Solution,

Principal (P)=$200

Time(t)=3 years

Rate(R)=7.5%

Now,

Simple Interest=PTR/100

=200*3*7.5/100

=4500/100

= $45

Hope it helps

good luck on your assignment

Answer:

f(x)=2e^x

Step-by-step explanation:

graphic calculator

Answer:

false

Step-by-step explanation:

i got it right

Answer:true

Step-by-step explanation:

is true if you don’t believe me check the picture

Answer: B

[tex]=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}1&3\\ -2&5\end{pmatrix}\begin{pmatrix}-2&1\\ 3&4\end{pmatrix}=\begin{pmatrix}1\cdot \left(-2\right)+3\cdot \:3&1\cdot \:1+3\cdot \:4\\ \left(-2\right)\left(-2\right)+5\cdot \:3&\left(-2\right)\cdot \:1+5\cdot \:4\end{pmatrix}=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

1110

Step-by-step explanation:

Coz I solved it

Answer:

x=-1

Step-by-step explanation:

12x+28=16

-28 on both sides

12x=-12

x=-1

Answer:

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.

hope that helps love!

[tex]\frac{3-5x}{-4}[/tex]

[tex]\frac{3+-5x}{-4}[/tex]

[tex]\frac{-5x+3}{-4}[/tex]

[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]

[tex]\frac{5x-3}{4}[/tex]

Step-by-step explanation:

For instance, though not like terms, subtract

5-3/4= 2/4= 1/2

3-5/-4= -2/-4, -ve plus -ve hence +ve

+ve 1/2

They are the same

Answer:

1 = 118 degrees

Step-by-step explanation:

Since a straight line is 180 degrees take

180 - 62 = 118 degrees

(Even though the line is slanted it still equals 180 degrees).

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

x = -6/7

Step-by-step explanation:

5 – 6x = 8x + 17

-5                 - 5           Subtract 5 from both sides

-6x = 8x + 12

-8x   - 8x                     Subtract 8x from both sides

-14x = 12                      Divide both sides by -14

x = -12/14                     Simplify

x = -6/7

Answer:

84.78

Step-by-step explanation:

You do 27 tomes pi(3.14)

Answer:

Circumference ≈ 84.82cm

Step-by-step explanation:

The diameter is 27cm

The equation to find circumference is (2πr)   (Two times pi times radius)

We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.

To get radius, you divide diameter by 2, getting 13.5.

Now, all you have to do is "plug-and-chug,"  putting 13.5 in for radius in the circumference equation. (2π13.5)

You will get Circumference ≈ 84.82

Answer:

55.5 kg.

Step-by-step explanation:

Potential energy =  mgh

= m * 9.81 * 4.5 = 2450    where m  is the mass of the man.

m = 2450 / (9.81* 4.5)

= 55.5 kg.

Answer: c - 10

Step-by-step explanation:

Feom the question, we are told to wrote an expression that can be used to represent the following situation: 10 dollars less than catilian.

The first thing that we need to do is to represent catilian by an alphabet.

Let catilian be denoted by c.

Since we are told that 10 dollars is less than catilian. The expression will be:

= c - 10

Answer:

D

Step-by-step explanation:

Answer:

Given expression is [tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}[/tex] = 2tan²A

We have to prove this identity.

[tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}=\frac{(\text{cosecA+1})-(\text{cosecA-1})}{(\text{cosecA-1})(\text{cosecA+1})}[/tex]

                              = [tex]\frac{(\text{cosecA}-\text{cosecA})+(1+1)}{cosec^2A-1}[/tex]

                              = [tex]\frac{2}{cosec^{2}A-1}[/tex]

                              = [tex]\frac{2}{cot^{2}A}[/tex] [From the identity, (cosec²A - 1) = cot²A]

                              = 2tan²A [From the identity, cotA = [tex]\frac{1}{\text{tan}A}[/tex]]

Hence the given equation is proved.

Answer:

Increase in value: $20650

Current house value: $315650

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

None of these guesses are correct.

Let's work this problem in reverse.

Try it this way.

1/2x-4=5

This is actually quite simple to solve.

Because half of x minus 4 will equal 5, we just need to add 4 and 5 to get half of our mystery number. 4+5=9. So, 9 is half of x. Add 9 to 9 to get our mystery number, which is 18.

30 is not correct because Half of 30 is 15, and 15-4 is 11, not 5.

2 is also not correct because half of 2 is one, and 1-4 is -3, not 5.

4 1/2 is not correct as well because half of 4 1/2 is 2 1/4, and 2 1/4-4 is -2 1/2, not 5.

Hope this helped!

None of her guesses are correct. “When 4 is subtracted from half of a number the result is 5.” The number should be 18.

Two or more expressions with an Equal sign is called as Equation.

Given,

When 4 is subtracted from half of a number the result is 5.”

Let the number be x

x/2-4=5

We need to find the value of x

x/2=5+4

x/2=9

x=18

a. Her first guess is 30. Is she correct

No, the number should be 18 not 30 because half of 30 is 15 and when we subtract 4 from 15 we get 11

b. Her first guess is 2. Is she correct

No, the number should be 18 not 2 because half of 2 is 1 and when we subtract 4 from 1 we get -3.

Even 4 1/ 2 is not correct hence 18 is not correct.

Hence, none of her guesses are correct.

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

The Larger bag contains more trail mix. Why because the larger bag has 10 more ounces than the smaller bag.

Answer:

4 mujeres en la empresa

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

example: rational=½=0.5

irrational=3.1428571…

0.5+3.1428571

3.6428571.....

It is irrational because it cannot be changed into fraction form

Answer:

Step-by-step explanation:

[tex]x^{2} + 3x - 10 = 0\\a *c = 1*-10=-10\\Find-factors-when-they- are -added= 3x -and-when-multiplied=-10\\Factors = -2x, and 5x\\x^{2} -2x+5x-10=0\\x(x-2)+5(x-2)=0\\(x-2)(x+5)=0\\(x-2)=0 ,or, (x+5)=0\\x = 0+2 , or, x =0-5\\x = 2 \\x =- 5[/tex]

The solutions to the given quadratic equation x² + 3x - 10 = 0 are x = 2 and x = -5.

The quadratic equation is given as follows:

x² + 3x - 10 = 0

To solve the equation x² + 3x - 10 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the equation in the form ax² + bx + c.

Here, a = 1, b = 3, and c = -10, so we have:

x = (-3 ± √(3² - 4(1)(-10))) / 2(1)

x = (-3 ± √(49)) / 2

x = (-3 ± 7) / 2

So, the solutions are:

x = (-3 + 7) / 2 = 2

x = (-3 - 7) / 2 = -5

Therefore, the solutions to the equation x² + 3x - 10 = 0 are x = 2 and x = -5.

Learn more about quadratic function here:

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Answer:

The possible y-coordinate of point C is 6

Step-by-step explanation:

The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.

Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.

The area of a triangle = 1/2 × base × height

6 = 1/2 × 3 × height

height = (2 × 6) / 3 = 4 units

Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2

The coordinate of point C is either (-1, 6) or (-1, -2)

The coordinate of point C is either (-1, 6) or (-1, -2)

The formula for calculating the area of a rectangle is expressed as;

where:

Get the height of the triagle:

6 = 0.5(3)h

6 = 1.5h

h = 6/1.5

h = 4 units

Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2

Hence the coordinate of point C is either (-1, 6) or (-1, -2)

Learn more on area of triangle here: https://brainly.com/question/17335144