Answer:
The people can sit in 1,152 possible ways if all men must sit together and all women must sit together.
Explanation:
The 4 men must sit together.
Number of ways to arrange the 4 men together
= 4! = 4 x 3 x 2 x 1 = 24
Similarly, the 4 women must sit together.
Number of ways to arrange the 4 women together
= 4! = 4 x 3 x 2 x 1 = 24
Now the 8 chairs are placed in a row. There are 2 ways to arrange the men and women: either the men must sit in the first 4 chairs and women in the last 4 chairs, or the women must sit in the first 4 chairs and men in the last 4 chairs.
Hence, total number of ways to arrange the 8 people
= 24 x 24 x 2
= 1,152
Answer:
Step-by-step explanation:
First, add 3 to both sides:
-5 = -6∛(x²)
Next, divide both sides by -6, to isolate ∛(x²):
5/6 = ∛(x²)
Eliminate the radical by cubing both sides:
5³
---- = x²
6³
Finally, take the square root of both sides. This will isolate x. There will be two roots: one +, the other -.
x = ±√(5³/6³)
This simplifies to: ± (5/6)∛(5/6).
subtract 4x from both sides and you get y=4x
y varies directly with x. When x is 1, y is 1/4. when x is 4, y is 1. when x is 8, y is 2. So on and so on. Sorry if this is confusing. Direct variations is one of my weak points
Answer:
A rational number is said to be closed if the subtracted values and the result obtained are rational. Hence, the equations which supports the condition are :
5.5 - 0.5 = 4
5√4 - √4 = 4√4
Step-by-step explanation:
A.)
√8 - √8 = 0 ; the added values aren't rational and the result, Zero is not rational either.
B.)
5√4 - √4 = 4√4
5(2) - 2 = 2(2)
10 - 2 = 4
All the values in the expression are rational ; hence, it supports the assertion.
C)
5.5 - 0.5 = 4 ; all the values in the expression are rational, hence, it supports the fact.
2√3 - √3 = √3 ; the values in the expression are not rational, hence, it does not meet the condition.
Therefore, only options B and C supports the assertion.
Let me add that I learned most of this from Brainly a user named fichoh :)
50^2 = 50 to the power of 2 = 2.5 × 10^3
Explanation:
(50) to the 2nd power or simply '50 to the 2nd' is obtained by multiplying 2 times the base 50 by itself. So,
50^2 = 50 × 50 = 2.5 × 10^3
Note: We say that 50 is the base, 2 is the exponent, and the whole thing or the result is a power of 50.