Answer:
8*pi/3 cm
Step-by-step explanation:
Answer: The director can choose two singers from the 20 singers in 190 different ways.
Step-by-step explanation:
Given : The total number pf singers auditioning for the musical= 20
The number of singers looking director for = 2
We use combinations here because order of selecting singers does not matter.
(If order matters then we use permutations.)
The number of combinations of to select r things of n things =
So the number of ways can the director choose two singers from the 20 singers=
Therefore , the director can choose two singers from the 20 singers in 190 different ways.
Answer:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
Step-by-step explanation:
1)
Adding 7 to both sides
=> 2x > 3+7
=> 2x > 10
Dividing both sides by 2
=> x > 5
2)
Subtracting 11 to both sides
Multiplying both sides by 4
x ≥ -3 * 4
x ≥ -12
3) -6x+7 ≥ 19
Subtracting 19 to both sides
=> -6x ≥ 19-7
=> -6x ≥ 12
Dividing both sides by -6
=> x ≤ -2
4) -10 + 4x > 50
Adding 10 to b.s
=> 4x > 50+10
=> 4x > 60
Dividing b.s by 4
=> x > 15
5)
=> x < 4*-2
=> x < -8
6) 8 - 2x ≤ 46
Subtracting 8 from b.s
=> -2x ≤ 46-8
=> -2x ≤ 38
Dividing b.s by -2
=> x ≥ -19
7) -13x+1 ≤ -25
Subtracting 1 from both sides
=> -13x ≤ -25-1
=> -13x ≤ -26
Dividing both sides by -13
=> x ≥ 2
8)
Adding 7 to b.s
=> x/3 > -4+7
=> x/3 > 3
Multiplying 3 to b.s
=> x > 3*3
=> x > 9
9) -9x-19 ≥ 17
Adding 19 to both sides
=> -9x ≥ 17+19
=> -9x ≥ 36
Dividing both sides by -9
=> x ≤ -4
10) 16 - x > 9
Adding x to both sides
=> 16 > 9 + x
Subtracting 9 from both sides
=> 16 - 9 > x
=> 7 > x
OR
=> x < 7
NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.
Answer: The value of square root of 75 is 8.65.
Step-by-step explanation:
Since we have given that
a) Explain why her reasoning is incorrect.
Her reasoning is incorrect.
As we can write it as :
(b) Estimate the square root of 75 to the nearest thousandths without using your calculator. Show
As we know that
So, the square root of 75 would be :
Hence, the value of square root of 75 is 8.65.
Answer: Function
Step-by-step explanation: A function is a special type of relation and for a relation to be a function, each x-term must correspond with exactly 1 y-term.
The easiest way to determine whether a relation is a function is to look at the x-coordinate of each ordered pair. If any of our ordered pairs have the same x-coordinate with a different y-coordinate, then our relation is no a function.
Since none of our x-terms repeat with different y-terms, this is a function.