2. Find the volume. *
10 16 8

Answer:

4C2 * 6C2 * 5C2

Step-by-step explanation:

White balls = 4

Yellow balls = 6

Red balls = 5

In other to select a total of 6 balls, of which there must be 2 balls each of color white, yellow and red :

That means :

2 red balls from 5 red balls = 5C2

2 balls for 6 yellow balls = 6C2

2 balls from 4 white balls = 4C2

To obtain the number of possible combinations, take the product of the three combinations :

4C2 * 6C2 * 5C2

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

permutation is way of selecting and arranging things while combination is way of selecting things .

Given that  bag contains 4 white balls, 6 yellow balls, and 5 red balls

we have to select 6 balls

it's given that there must be 2 balls of each color

So here's how we can select them

2 white balls ,2 yellow balls and 2 red balls

So we have to select 2 white balls out of 4  white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls

so number of ways of selecting

[tex]{4 \choose 2} \times {6 \choose 2}\times {5 \choose 2}[/tex]

[tex]=6\times15\times10\\\\=900[/tex]

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then  6 balls can be chosen if there must be 2 balls of each color in 900 ways

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Answer:

x=2

y=5

Step-by-step explanation:

y= x+3...(1)

y= -x+7...(2)

(1) + (2):

y+y= (x+3) + (-x+7)

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

2y= 10

y= 5

By substituting y=5 into (1),

we have

5= x+3

x+3=5

x= 5-3

x= 2

Answer:

length = 15 in

Step-by-step explanation:

length = √225 = 15 in

Answer:

The answer is $16,645

Step-by-step explanation:

Answer:

A=82

C=83

X+y=60

X=30+50+80

X=80

Answer:

B.12

Step-by-step explanation:

For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.  

Answer:

12:44, or if simplified 3:11

Step-by-step explanation:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).

Answer:

3 : 11

Step-by-step explanation:

Total number of cows = 32 + 12 = 44

Brown cows : Total

12 : 44 =

3 : 11

Answer:

coloquei a letra d- II, III e IV

Step-by-step explanation:

Answer:

é a letra D (II, III e IV)

Step-by-step explanation:

se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.

Answer:

$10.5

Step-by-step explanation:

Given data

Total amount=$30

Drink = 1/5*30= $6

Ticket= 45% of 30

        =45/100*30

       =0.45*30

        =$13.5

The remainder is for food

=30-6-13.5

=$10.5

Answer:

4x^2 -3 + 1/x

Where ;

p(x) =( 4x^2 -3) and k = 1

Step-by-step explanation:

Here, we want to divide the given polynomial

To get this, we can use the method of long division

P(x) will be the quotient of the division, while k will be the remainder of the division

We can see the long division used in as seen in the attachment

So, we have the result as;

4x^2 -3 + 1/x

Where ;

p(x) = 4x^2 -3 and k = 1

Answer:

$4625.10

Step-by-step explanation:

Her account already had $904.31

You now need to add $375.

Then add $500 twice.

Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.

45% of 1279.31 is 575.68

Now we add the $575.68 to $1279.31

April is a new month and she deposited $500.

45% of 1854.99 is 834.74

Add $834.74 to $1854.99

Then she deposits 500 on May, another new month.

I think this step is obvious. Just follow what you did last time.

This leaves her with $4625.10

Answer:13.5

Step-by-step explanation:

Answer:

1 answer is 1

2 answer is -1

3rd answer is 2pi

From the diagram, we can tell that the maximum height that is reached by the barnacle is 1m.

The Barnacle is going around the water level in the shape of a circle which the water level being the diameter.

This means that the maximum height the barnacle can reach is constricted by the radius such that it is the same as the radius of the circle. This means that the maximum height is 1m.

Find out more on the height of the barnacle at https://brainly.com/question/10417429.

Answer: 8.40 dollars worth of intrest

Step-by-step explanation:

Answer:

ACB

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Use the formula y1-y2/x1-x2 to find the slope from two points.

12

Plug in values into the formula using the given points

-7- -19/2-1

=--7+19/1

=12/1

=12

Answer:

The answer is 12

Step-by-step explanation:

Answer:

2×3×3×5

Step-by-step explanation:

2×

[tex]{3}^{2} [/tex]

×5

9514 1404 393

Answer:

Step-by-step explanation:

6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.

Agnes is 6 now, and Johnson is 18 now.

Answer: (4,5)

Because I don't know another way I can solve

Step-by-step explanation:

Answer:

x-intercept: (15, 0)

y-intercept: (0, 12)

Step-by-step explanation:

1.) convert the equation to y=mx+b format

4x + 5y= 60

5y = -4x + 60

y = -4/5x + 12

2.) Now we know that "b" in the equation is the y-intercept. 12 is b so the y-intercept is 12.

3.) To find x intercept we will plug in y=0.

0 = -4/5x + 12

-12 = -4/5x

15 = x

Answer:

SAS.

Step-by-step explanation:

They are congruent  by 2 sides and the included angle

Answer:

Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.

Step-by-step explanation:

By running your muscles can get stronger in power so it gives you a better chance to catch the ball with your speed and strength.

Answer:

Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.

Step-by-step explanation:

Edmentum Answer

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First, I wanna point out a minor mistake, are we supposed to figure out x?

If we are, let's start.

[tex]-12x+16-4x=-112.[/tex]

We don't need the [tex]16.[/tex]

We subtract the 16 from both sides.

SImplify, =[tex]16x=128[/tex]

Also, group like terms, and add similar elements.

Answer:

x = 8

Step-by-step explanation:

-12x + 16 - 4x = -112

Combine like terms on the left side.

-16x + 16 = -112

Subtract 16 from both sides.

-16x = -128

Divide both sides by 16.

x = 8

Check:

-12x + 16 - 4x =

= -12(8) + 16 - 4(8)

= -96 + 16 - 32

= -80 - 32

= -112

-112 = -112

x = 8 is correct.

Answer: x = 8

Answer:

It’s 4.2

Step-by-step explanation:

Answer:

Vertical intercepts: (-2,pi/2) and (-10,pi/2)

Horizontal intercepts: (4,0) and (-4,0)

Step-by-step explanation:

I took the test and got it right.

The required horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).

In the equation intercept is the value of the linear function where either of the variables is zero.

To find the horizontal intercept(s) of the limacon, we need to set r equal to zero and solve for theta.

r = 4 - 6sin(Ф)

0 = 4 - 6sin(Ф)

6sin(Ф) = 4

sin(Ф) = 4/6

sin(Ф) = 2/3

We can use an inverse sine function to find the value of theta:

Ф= sin^-1(2/3)

Ф≈ 41.81° or 138.19°

These are the values of theta where the limacon crosses the x-axis (horizontal intercepts).

To find the vertical intercept(s), we need to set theta equal to zero or pi and solve for r.

When Ф= 0:

r = 4 - 6sin(0)

r = 4

So the limacon intercepts the y-axis at (0, 4).

When Ф= pi:

r = 4 - 6sin(pi)

r = 10

So the limacon intercepts the y-axis at (0, -10).

Therefore, the horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).

Learn more about intercept here:
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Answer:

()

Step-by-step explanation:

Use nCr to figure this out, plug in the numbers and probabilities and solve

Answer:

answer: 25/(15+25) ×100