Answer:
There are ten possible digits (0 to 9).
If they can be repeated, you're looking at 10 * 10 *10 * 10 * 10, or 105
This means 100000 possible zip codes if repeatable.
If not, you're looking at one less each time:
10 * 9 * 8 * 7 * 6
90 * 56 * 6
540 * 56 = 30240 zip codes without any repetitions.
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
One sqrt(7)*x -49sqrt(x)
Two -30sqrt(2)a
Right: - 3 cuberoot(2a)
Step-by-step explanation:
Left Questions
One
sqrt(7)x ((sqrt(x) - 7sqrt(7) ) Remove the Brackets
- sqrt(7x) * sqrt(x) - sqrt(7x) * 7sqrt(7)
- √(7*x)*sqrt(x) - 7*7*sqrt(x) Combine
- √7 (x) - 49x
This question has a a slight bit of ambiguity in it. Is the x outside the brackets underneath the root sign or not? I have taken it as not. Leave a note if I am wrong. <em><u>Edit</u></em>: This question clears itself when you use the original statement. I think it is correctly represented now. When you use √ you have to use brackets to show what is under the root sign.
Two
You can take a lot of common factors out side the brackets.
The common factors are 3*sqrt(2)*a When you do that, you are left with
- 3*sqrt(2)*a * ( 11 - 21)
- 3*sqrt(2)*a * (-10)
- The final answer is
- -30sqrt(2)*a
Of course there are other, more direct ways of doing this.
Right Question.
The problem here is answering in such a way that you are showing work.
Let z = 3∛(2a)
The problem now becomes
z*(1 - 2)
- z
Now substitute back
-3∛(2a) Answer
Answer:
4:5 ,15:16
Step-by-step explanation:
divide 12 and 15 by 3 to get 4 and 5
