The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 5.
Give your answer as a fraction in its simplest form.

Answer:

Step-by-step explanation:

This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:

[tex]-4p(y-k)=(x-h)^2[/tex]

The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:

[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:

[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:

[tex]-4y-8+16=(x^2+8x+16)[/tex]

The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:

[tex]-4y+8=(x+4)^2[/tex]

We're getting close. Now we need to just factor out the -4 on the left to get:

[tex]-4(y-2)=(x+4)^2[/tex]

If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).

Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...

Answer:

7) x=-2

11) x=3

8) x=0

12)x = 3/4 = 0.750

Step-by-step explanation:

7)Let's solve your equation step-by-step.

4x+34=8−9x

Step 1: Simplify both sides of the equation.

4x+34=8−9x

4x+34=8+−9x

4x+34=−9x+8

Step 2: Add 9x to both sides.

4x+34+9x=−9x+8+9x

13x+34=8

Step 3: Subtract 34 from both sides.

13x+34−34=8−34

13x=−26

Step 4: Divide both sides by 13.

13x

13

=

−26

13

x=−2

Answer:

x=−2

11) Let's solve your equation step-by-step.

2x−18=−9−x

Step 1: Simplify both sides of the equation.

2x−18=−9−x

2x+−18=−9+−x

2x−18=−x−9

Step 2: Add x to both sides.

2x−18+x=−x−9+x

3x−18=−9

Step 3: Add 18 to both sides.

3x−18+18=−9+18

3x=9

Step 4: Divide both sides by 3.

Answer:

x=3

8) Let's solve your equation step-by-step.

−x−7=3x−7

Step 1: Subtract 3x from both sides.

−x−7−3x=3x−7−3x

−4x−7=−7

Step 2: Add 7 to both sides.

−4x−7+7=−7+7

−4x=0

Step 3: Divide both sides by -4.

−4x /-4=0 /-4

x=0

12)

x=3/4=0.750

We move all terms to the left:

x-(3/4)=0

We add all the numbers together, and all the variables

x-(+3/4)=0

We get rid of parentheses

x-3/4=0

We multiply all the terms by the denominator

x*4-3=0

Wy multiply elements

4x-3=0

We move all terms containing x to the left, all other terms to the right

4x=3

x=3/4

Answer:

Step-by-step explanation:its ratxrat

...

The zeros of the divisor,

x-3=0,x=3

f(3)=4(3)²-3-3=30

The remainder is 30

Answer:

5 to the fourth power is 625

625 / 25 is 25

so now you have 25 = 5 to the second power

and five to the second power is 25

Step-by-step explanation:

So the answer should be the third one.

Answer:

Step-by-step explanatioen:

Answer:

4 months

Step-by-step explanation:

9514 1404 393

Answer:

  563.5 cm³

Step-by-step explanation:

Use the formula for the volume of a cone:

  V = (1/3)πr²h

Recognize that the radius is half the diameter:

  r = (11.9 cm)/2 = 5.95 cm

  V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³

The volume of the cone is about 563.5 cm³.

_____

Additional comment

If you use 3.14 for the value of π, then the result will be 563.2 cm³.

Answer:

4.5 is the answer 9/2=4.5

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Intuition.

Answer:

27 cars are blue

Step-by-step explanation:

if you have 150 cars and 18% are blue, you will have to multiply 0.18 x 150 and that equals to 27, so 27 cars are blue

Answer:

20 gallons of blue paint

Step-by-step explanation:

The ratio is blue to green right?

5:2

You already know the green

8

divide 8 by its part of the ratio.

8/2

4

Times 5 by 4

20

20 blue paints and 8 green paints.

Answer:

Step-by-step explanation:

These are equations of lines with different slopes, so there is only one point of their intersect.

The point of intersect is where f(x) = g(x).

2(x - 1) - 5 = - 2x + 1

 +2x            +2x

2x - 2 - 5 + 2x = 1

       +7               +7

          4x = 8

        ÷4     ÷4

          x = 2

Answer: x = 2

Explanation:

From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!

Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.

Answer:

1.25b when b < 12 , 1b & then 0.75 b when b > 12

Step-by-step explanation:

* Less than 12 bagels bought, cost $1.25 per bagel

So, price for b bagels, when (b < 12) = 1.25b

* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel

So, price for b bagels, when (b = 12) = b

So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12

The inequality used to represent this constraints is:

Price = 1.25b  when b < 12

Price = 0.75b + 3 when b ≥ 12

Inequalities is an expression used to show the non equal comparison of numbers and variables.

Let b represent the number of bagels bought.

When a customer buys fewer than 12 bagels, each one costs $1.25. Hence:

Price = 1.25b  when b < 12

When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75. Hence:

Price = 12 + (b - 12)0.75 = 0.75b + 3 when b ≥ 12

The inequality used to represent this constraints is:

Price = 1.25b  when b < 12

Price = 0.75b + 3 when b ≥ 12

find out more at: https://brainly.com/question/25285332

Answer:

28.27 in²

Step-by-step explanation:

Since Area =  π  times  r²

And  2

r  =  Diameter

As  Diameter  =  6

r = 3

Area =  π x  3²

        = π x 9

        = 28.27 in²

Answer:

$1.30

Step-by-step explanation:

divide the cost by 6 and you get 1.3 so 1 battery=1.30

Answer:

Each battery would cost 1.30

Step-by-step explanation:

7.80 divided by 6 equals 1.3

Another way to find the answer would be

1.3x6

or

1.3+1.3+1.3+1.3+1.3+1.3

Answer:

B

Step-by-step explanation:

The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.

Answer:

− 17/4  or −4.25

hope it helps

Answer:

-50

Step-by-step explanation:

Answer: $9,000

Step-by-step explanation:

First calculate the total dividends that Company Y plans to pay.

= 12,000,000 * 15%

= $1,800,000

Then calculate the amount that Mutual fund X will get.

They own 0.5% of the total stock of Company Y so they will get;

= 0.5% * 1,800,000

= $9,000

Answer:

-3 times -3 that is -4 exponent two in expanded form

Step-by-step explanation:

-3²

= -3 • -3

eg. Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.

Answer:

the coustant of proportanility is 28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

math

Answer:

The euation of the linear function is:

Step-by-step explanation:

As the function has the values

Thus, the two points are:

Finding the slope between (5, -1) and (0, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-1\right)}{0-5}[/tex]

[tex]m=0[/tex]

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

Step-by-step explanation:

cmon man its a blank screen

Answer:

nearest tenth is 23.5

nearest hundredth is 23.55

Step-by-step explanation:any number more than 5 is rounded up to +1 for the next number so for tenth 23.546= 23.5 and for hundredth 23.546=23.55

Answer:

D. 224 inches

Step-by-step explanation:

Length of the new rectangle after dilation = 22 × ⁷/2 = 77 inches

Width of the new rectangle after dilation = 10 × ⁷/2 = 35 inches

Perimeter of rectangle = 2(length + width)

= 2(77 + 35)

= 2(112)

Perimeter = 224 inches

Answer:

The slope between the points (0, -6) and (3, -2) will be:

Step-by-step explanation:

Given the points

The slope between the points (0, -6) and (3, -2) will be:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-6\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-6\right)}{3-0}[/tex]

[tex]m=\frac{4}{3}[/tex]

Therefore, the slope between the points (0, -6) and (3, -2) will be:

Answer:

maybe a that's my answer