Part A: In your own words, describe the steps that are necessary to determine whether angles are coterminal.

Part B: Explain why coterminal angles have a difference that is a multiple of 360° degrees, such as 720° or 1080°.

Part C: Find three angles that are coterminal with an angle measuring 75°. Show all work.

Answer:

first 2 options and 5th option are true

Step-by-step explanation:

locate y = - 4 on the y- axis. then a horizontal line through y = - 4 intersects the curve at x = - 2 and x = 1

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the axis of symmetry is a vertical line through the vertex with equation

x = c ( c is the value of the x- coordinate of the vertex )

vertex = ( - [tex]\frac{1}{2}[/tex], - 6 )

equation of axis of symmetry is x = - [tex]\frac{1}{2}[/tex]

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the minimum value is the y- coordinate of the vertex

that is the minimum value of f(x) is - 6

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given a parabola in standard form

ax² + bx + c ( a ≠ 0 )

• if a > 0 then graph opens up

• if a < 0 then graph opens down

Here the graph opens up , then coefficient of f(x) is positive

-------------------------------------------------------------

the solutions to f(x) = 0 are the values of x on the x- axis where the graph crosses.

the solutions are x = 2 and x = - 3

Answer:

Step-by-step explanation:

Find out the  how much chlorine is in the pool .

To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

The pool has 2.5 milligrams of chlorine per liter of water.

i.e

2.5 milligrams of chorine = 1 litre of water

There are 8000 gallons of water in the swimming pool.

As 1 gallons = 3.78541 litre (Approx)

Now convert 8000 gallons of water in litres.

8000 gallons = 8000 × 3.78541 litre

                     = 30283.28 litres

Now calculate chlorine in the pool for 30283.28 litres  of waters.

As

2.5 milligrams of chlorine = 1 litre of water

2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water

75708.2 milligrams of chlorine for 30283.28 litre of water .

Answer:

Negative correlation

Step-by-step explanation:

As one value increases when the other one decreases, we can say the correlation is a negative correlation.

The probability that a student, chosen at random, does not study chemistry is 20/41.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Here, Total number of student = 41

         Student who does not study chemistry = 20

So, the probability = favorable outcome / total outcomes

             P(not studying chemistry) = 20 / 41

Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.

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Answer:

(p -3q )(p -3q  )

Step-by-step explanation:

p'2 - 6pq + 9q'2

(p -3q )(p -3q  )

find two values that add to give 6 and multiply to 9

p x p =p'2

-3q x p = -3pq   -3 x pq = -3pq    ...... -3pq - 3pq = -6pq

-3q x - 3q = 9q'2

Answer:

second 0ne

Step-by-step explanation:

3×-1+-2 ×0

3×0+-2×3

Answer:

whos courtney

Step-by-step explanation:

whos courtney??

Answer:

Step-by-step explanation:

the circle has a radius of 2.

Then

The circumference of the circle = 2πr = 2π(2) = 4π

…………………………………

Since , 45/360 = 1/8

Then, the arc is 1/8 of the entire circle.

…………………

Therefore,

the length of a 45° arc = 4π/8 = π/2 cm ≈ 1.57 cm

Answer:

It would be 30.

Step-by-step explanation:

If we make a list of all the sums that we can get, we have:

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.

That gets us to 15x2 which is 30.

The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

I have a bag with 6 marbles numbered from 1 to 6.

Mathew has a bag with 12 marbles numbered from 1 to 12.

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways,

Since order matters, and we could do 2+1 instead of 1+2.

15 x 2 which is 30.

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Answer:

192

Step-by-step explanation:

so you basically make an equation like this:

4*4(5+7)

4*4(12)

4*48

=192

[tex]~~~~\dfrac{d}{dx} \left( \sqrt[5]{1+x} \right)\\\\\\=\dfrac{d}{dx} (1+x)^{\tfrac 15}\\\\\\=\dfrac 15 \left(1 + x\right)^{\tfrac 15 -1} \cdot \dfrac{d}{dx}(1+x)\\\\\\=\dfrac 15 (1+x)^{-\tfrac 45} \cdot(0+1)\\\\\\=\dfrac{1}{5(1+x)^{\tfrac 45}}[/tex]

Answer:

55 minutes

Step-by-step explanation:

add 35 to 11:25 should equal to 12AM then add 20 to it should give you the answer of 12:20AM combining the 35 and 20 should give you 55

Answer:

55 Minutes

Step-by-step explanation:

Assuming the start time is on the previous day, the time between 11:25:00 PM and 12:20:00 AM is:

0 hour, 55 minutes, and 0 second

0.917 hour

55 minutes

3,300 seconds

Hope this helps!

The complex number in rectangular form z = (5√3 / 4) - i 5/4 is equivalent to the complex number in polar form z = 5/2 · (cos 11π/6 + i sin 11π/6). (Correct choice: C)

Complex numbers are elements of the form z = a + i b, where [tex]a, b \in \mathbb{R}[/tex]. In other words, represents a generalization from real numbers. The polar form of a complex number is shown below:

[tex]z = r\cdot (\cos \theta + i \,\sin \theta)[/tex]     (1)

Where:

The norm is determined by Pythagorean theorem and the direction by inverse trigonometric reason. If we know that z = (5√3 / 4) - i 5/4, then its polar form is shown below:

Norm

[tex]r = \sqrt{\left(\frac{5\sqrt{3}}{4} \right)^{2}+\left(-\frac{5}{4} \right)^{2}}[/tex]

r = 5/2

Direction

[tex]\theta = \tan^{-1} \left[\frac{\left(-\frac{5}{4} \right)}{\left(\frac{5\sqrt{3}}{4} \right)} \right][/tex]

θ = 11π/6 rad

Thus, the complex number in rectangular form z = (5√3 / 4) - i 5/4 is equivalent to the complex number in polar form z = 5/2 · (cos 11π/6 + i sin 11π/6).

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The following recurring decimal as a rational number are 1/2, 13/100 and 341 / 1000

A rational number is a number that is expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator such as;

3/4. where,

Therefore,

0.5

= 5/10

= 1/2

0.13

= 13/100

0.341

= 341 / 1000

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Answer:

Answer C is correct

Step-by-step explanation:

1. We replace x as (a + 2)

2. Then we just rewrite this function with the new value

3. Result: 3(a+2) + 5/(a+2)

Answer:

4x+2

Step-by-step explanation:

a= 2x - 3 and b= 2x+5

a+b = 2x-3 + 2x+5

Combine like terms

a+b = 4x+2

Answer:

a + b = 4x + 2

Step-by-step explanation:

a = 2x - 3

b = 2x + 5

a + b = (2x-3) + (2x+5)

a + b = 2x + 2x - 3 + 5

a + v = 4x + 2

Answer:

x=4

Step-by-step explanation:

Based on the given conditions, formulate: 

x+8=3×x

Rearrange unknown terms to the left side of the equation:

x-3x=-8

Combine like terms:-2x=-8

Divide both sides of the equation by the coefficient of variable:x=-8/-2

Rewrite the fraction:8/2

Cross out the common factor:x=4

get the result:x=4

Answer: 4

Answer:

A. (-8, 0)

Step-by-step explanation:

The side of the line that is shaded contains the solutions to the inequality. (-8, 0) is in the shaded part of both graphs.

Also, 0 > -15 and 0 [tex]\geq[/tex] -9

I hope this helps :)

A larger error variance making it difficult to estimate the partial effect of any of the independent variables on the dependent variable is True.

This is used to measure how far a data is spread out and the effect independent variables has on the dependent ones.

When there is an error in the variance, the effect calculated is inaccurate which brings about difficulty in ascertaining it.

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Answer:

1 quart is equal to 4 cups

Step-by-step explanation:

4 cups is equivalent to __1__ quart

The area of this trapezoid is A = 55

We know that the application formula for calculating the area of a trapezoid is given by:

[tex] \boxed{ \large \sf A = \dfrac{(b + b) \times h}{2} } \\ \\ [/tex]

⚘ Then, the resolution will be:

[tex]{ \large \sf A = \dfrac{(7 + 15) \times 5}{2} } [/tex]

[tex]{ \large \sf A= \dfrac {22 \times 5}{2} } [/tex]

[tex]{ \large \sf A= \dfrac {110}{2} } [/tex]

[tex]\pink{ \boxed{ \purple{ \boxed{ \large \sf A= 55 }}}} \\ \\ [/tex]

Therefore, the area of this trapezoid will be, A = 55

Answer:

I think the greatest x- intercept is f(x)=3x-9

Answer:

(3, 5) (3, 2) , (5, 2)

Step-by-step explanation:

Analysis:

(1) Translate square A two squares right

(a, b) ⇒ ( a + 2, b)

{ (1, 4)          {(3, 4)

{ (1, 1)   ⇒   { (3, 1)

{ (3, 1)         {  (5, 1)

(2) ... one square up:

(a, b) ⇒ (a, b + 1)

{ (3, 4)           { (3, 5)

{ (3, 1)    ⇒    {  (3, 2)

{   (5, 1)       {      (5, 2)

Answer:

Point Q best represents the square root of 10.

Answer:

the answer is 32,768 hopes this helps

Step-by-step explanation:

8^5 = 8x8x8x8x8 = 64x8x8x8= 64x64x8 = 4096x8= 32,768

Answer:

2.7m

Step-by-step explanation:

1.0m

0.5m

+1.2m

2.7m - answer

Answer: 200 pi

Step-by-step explanation:

Answer:

Slope is 1

Step-by-step explanation:

use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]

m= [tex]\frac{-5+4}{0-1}[/tex]

[tex]\frac{-1}{-1}=1[/tex]

m=1

Hope this helps!

If not, I am sorry.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of

[tex]\star\mathrm{(1,-4)}[/tex]

[tex]\star\mathrm{(0,-5)}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's the slope formula:

[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

Input the values, which are:

y2=-5

y1=-4

x2=0

x1=1

[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]

Simplify!

[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]

[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]

[tex]\star\boxed{\mathrm{1}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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