Esp A spinner with 6 equally sized slices has 2 blue slices, 1 yellow slice, and 3 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice? Write your answer as a fraction in simplest form.​ PLEASE HELP

Answer:

D. The magnitude is StartRoot 113 EndRoot, and the direction angle is approximately 41°.

Step-by-step explanation:

The correct description of the vector is that the magnitude is √(113) and therefore the direction angle is 41°.

The magnitude of the vector is the length of the vector which can be calculated from the coordinate of its endpoint.

Let (x1,y1) and (x2,y2) are the coordinate of the two endpoints of a vector V.

The magnitude of the vector= |V|= √(y2-y1)²+(x2-x1)²

We have,

Origin of vector = (0,0)

And,

Terminal point = (8, 7)

Here,

a = 8 and  b = 7

Now,

To find the magnitude of the vector, we are going to use;

Formula, |v| = √(a² + b² )

|v| = √(8² + 7² )

|v| = √(64 + 49)

|v| = √113

So, the magnitude of the vector is √113.

Now,

Direction angle is find out using ;

Θ = tan ⁻¹ (b / a)

So, Here,

Θ = Angle Direction

Now,

Θ = tan ⁻¹ (7 / 8)

Θ = 41°

Therefore, the proper description of the vector is that the magnitude is √(113) and also the direction angle is 41°.

Learn more about the magnitude of the vector here:

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Answer:

0.2821 gal

Step-by-step explanation:

Since this is a direct and proportional relationship, we know that the ratio for 2.539 gal of water to 9 hours is the same as the ratio from the water in the pool after 1 hour to 1 hour. Therefore, we can simplify 2.539:9 into 0.2821111... I’m not sure what value you must round to, so I’ll assume it is to the nearest thousandth. Hence, our answer is 0.2821 gal.

I hope this helps! :)

Answer:

x + y = 6000

0.03x + 0.05y = 220

Step-by-step explanation:

Given that :

Total principal amount = $6000

Account A:

Let principal = x

Rate = 3% = 0.03

Account B:

Let principal = y

Rate = 5% = 0.05

Interest earned at after one year = $220

Amount invested :

x + y = 6000

Simple interest = principal x rate x time

Interest earned

(x * 0.03 * 1 ) + (y * 0.05 * 1) = $220

0.03x + 0.05y = 220

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in  [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Answer:

1. 12 boys,

5. 15 hours

6. 36

Im not so sure on the others, Gl!

Answer:

(6/5) mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

the rate per window is the slope or the uniform amount that the y values increase by

we can see that company A increases 25$ per window

we can see company B increases 40$ per window

and company C increases 35$ per window

so company B charges more per window because it has the greatest slope

Answer:

Answer:

4 4/5 or 4.8

Step-by-step explanation:

This always confused me because I never paid attention but you want to multiply the denominator with the outer number and add the outer number into the equation ( Start 5- 1/5=? End up with 25-1 /5= ?) so then you would simplify the problem which would be 24/5 and simplify it again and that will get you 4 4/5.

This makes no sense because i am a visual learner and dont know how to explain things well but I hope I helped you in some kind of way lol.

Answer:

yes

Step-by-step explanation:

ok

Answer:

-3

Step-by-step explanation:

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

Answer:

1/4

Step-by-step explanation:

Answer:

Number is 19

Step-by-step explanation:

denote the number by x.

the line says:

5x - 20 = 18 + 3 x

Subtracting 3x form both sides

2x - 20 = 18

adding 20 to both sides

2x = 38

dividing both sides by 2

x = 19

Answer:

19

Step-by-step explanation:

let n = the number

5n - 20 = 18 + 3n

combine like terms in one of four different ways

2n = 38

n = 19

Answer:

1. 42.90

10. 23

11. 36.75

12. 55

14. 16.25

Step-by-step explanation:

I'm sorry I don't know the rest.

Answer:

1 3/4, 9 1/4

Step-by-step explanation:

continue the pattern

==================================================

Explanation:

Let's say that p is the leading coefficient and q is the last term.

To list out the possible rational roots, we need to find the factors of p and q. Dividing said factors over one another will lead to all the possible rational roots.

In this case, the leading coefficient is -5. The factors here are:

-1, 1, -5, 5

List the negative values as well as the positive values.

The factors of -2 are:

-1, 1, -2, 2

Now divide each factor of q = -2 over each factor of p = -5. It's very easy to get lost here because there are going to be 4*4 = 16 divisions going on. I recommend using a table to keep everything organized. See the chart below.

Anything in a gray box is a possible rational root. If we list the unique items only, we get this list = { -1, 1, -1/5, 1/5, -2/5, 2/5 } which are all the possible rational roots.

Compare those items with your possible answer choices. The only match here is 2/5

So 2/5 is the only possible answer in this case.

Answer: 12.8

Step-by-step explanation:

Divide 80.5 by pi then divide by 2

Answer:

Imfaooooooo

Step-by-step explanation:

Hope this helps or brightens your day! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)

Answer:

characters for what?

anyways....I need brainiest! :P

Answer:

3.62

Step-by-step explanation:

I am big brain and very smort

Answer:

362/ 100 or 3 62/100

Step-by-step explanation:

Answer:

Cytoplasm

Step-by-step explanation:

Answer:

Cytoplasm

Step-by-step explanation:

Answer:

Value of x is 2.

Step-by-step explanation:

Given, two consecutive odd integers are x−y and 2x−y.

We know difference between two consecutive odd integers is 2, so the equation will be,

2x−y−(x−y)=2

⇒2x−y−x+y=2

⇒x=2

-Frxzite-

Hope this help :)

Answer: x = 2

Step-by-step explanation:

(x-y)+2=2x-y

(x-y)+2–2x+y=0

-x+2=0 equals to x-2=0

x=2

Answer:

you randomly select and eat three chocolates

Answer:

there is a 5/12 chance its a milk chocolate and a 1/4 chance it's dark chocolate it's more likely chance it's a milk chocolate  

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

20+20=40 C:

Answer:

The answer to this equation is 49

Step-by-step explanation:

9x-2x

9×7=63

2×7=14

63-14=49

Answer:

v = 10

Step-by-step explanation:

8 = 8v - 4(v+8)

Solve parenthesis

8 = 8v - 4v - 32

Subtract 4v from 8v

8 = 4v - 32

Add 32 on both sides

40 = 4v

Divide by 4 on both sides

10 = v

Answer:

your answer is 18 look below for an explanation!

Step-by-step explanation:

please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?

because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.

I believe that the answer is B

Answer:

its the second one

Step-by-step explanation: