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There are 6 total marbles/

1. 1/2 (the chance of drawing a red marble) * 2/5 (chance of drawing a second) = 1/5

2. 1/3 (chance of drawing a yellow marble) * 1/5 (chance of drawing a second) = 1/15

3. 2/3 (chance of not drawing yellow) * 3/5 (chance of not drawing a second yellow) = 2/5

1. by supplementary angles theorem, angle AEB and angle CEB add up to 180. This means CEB is 90. 4x-2 = 90. 4x=92. x= 23 (A)

2. 2x+y = 90

2(23) + y = 90

46 + y = 90

y = 90-46- 44 (C)

3. It's shown that it's a right angle (B)

a = cost of adult tickets

c = cost of children's tickets

3a + 2c = 2350

2a + 4c = 2500. 

6a+4c  = 4700

2a+4c = 2500

4a = 2200

a = 550 or $5.50

3(550) + 2c = 2350

1650 + 2c = 2350

2c = 700

c = 350 or $3.50

The Diaz family's spendings is 3a + c = 3(550) + 350 = 1650+350 = 2000 or $20

I'm assuming that this question is asking for what is 3^10 / 3^2 as 3^x. 

3^10/3^2 = 3^(10-2) = 3^8

A circle centered at $(0,-8)$ passes through the point $(2,-5).$ Find the equation of the circle. Write your equation in the form "$(x - h)^2 + (y - k)^2 = r^2$".

The number of ways to roll exactly two 6's is \(\binom{5}{2}5^3\), since there are \(\binom{5}{2}\) choices for which of the two dice are 6, and there are 5 choices for each of the other 3 dice. Similarly, the number of ways to roll exactly one 6 is \(\binom{5}{1}5^4\), and the number of ways to roll no 6's is \(\binom{5}{0}5^5\). So the probability is \(\frac{\binom{5}{2}5^3+\binom{5}{1}5^4+\binom{5}{0}5^5}{6^5} = \frac{625}{648}\)

ok, maybe you will learn.  

Your appology is appreciated.

That is great. 

Have you realised that the crest (top) will be the midline + the amplitude   [the y value I mean]

And  that the trough (bottom) will be the midline  - the amplitude

I hope you knew, or worked out those answers BEFORE you actually graphed them. 

I like that you graphed the midline too :)

Ok,

1) Tell me the features of

y=-cosx-2

2) graph it by hand

3) Check it afterwards.

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Thank you!

\(\frac{3-x}{x^2+4}\) , Well, do you want it simplified? I think it is in its simplest form 

Set it equal 0?

\(3-x=0\)

then x=3 

1152 grams of iron are required to make the alloy when combined with 144 grams of zinc

We will use the proportion to solve the problem

Let x2 be the quantity of iron when combined with 144 grams of zinc

So,

zinc in first alloy = z1 = 9 gm

Iron in first alloy = x1 = 72 gm

Zinc in second alloy = 144 gm

\(x_1:z_1::x_2:z_2\\72:9:: x_2 : 144\\\frac{72}{9} = \frac{x_2}{144}\\8 = \frac{x_2}{144}\\x_2 = 144*8\\x_2 = 1152\)

from Brainly.com credited to absor201. 

(Since I don't have much time so I copied it so yeah...)

Question 1: A

Explanation: angle 1 and angle 5 are both the same because it is a parallel line. You can learn more if you search "Angles: Corresponding, Alternate Interior, Alternate Exterior Angles and Transversal Lines" on google.

Question 2: C

Explanation: something as question 1, angle 1 and angle 7 are the same and angle 1 is 120 then angle 7 is 120.

Question 3: A

Explanation: angle 6 is equal to angle 2 and we just need to find the degree for angle 2. A line is 180 degree and angle 1 is 120 degrees, so 180-120=60. If you don't understand, just search some on google.

Is the answer 36?

can't be that easy right?

This is how I did it:

A perpendicular bisector is the mid-line that cuts through a triangle.

If AD=20 then AB should also be 20 since they are identical.

DF=16 then BF should also equal to 16.

20+16=36

Thanks!

Thanks!

Thank you!

Thank you!

1. Since the degree of the remainder is 3, the degree of d(x) is 4.

2. \(\cos \angle F_1 AF_2 = 5/7\)

The remainder is 2x + 3.

Wait, so are you saying that the magnitude of \(z\) is the fourth root of the magnitude of \(z^4\)? Neat, will have to investigate to see why that is true. Thanks Guest!

The area of trapezoid PQRS is 105.