What is being requested, if I'm not mistaken, is the number of permutations for placing each of the 8 beads on the vertices of the cubes;
In this case, we have 8 different beads and 8 possible locations for each of them;
So the number of permutations is:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320
Answer:
The answer is D
Step-by-step explanation:
I did the assignment
Answer:
A) 66 inches
B) 3.5 inches
C) 38 inches
D) 3 inches
Step-by-step explanation:
A)
If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:
y = 3.5 * 36 - 60 = 66 inches
B)
As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.
C)
We just need to use y = 73 and then find x:
73 = 3.5x - 60
3.5x = 133
x = 38 inches
D)
If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:
dx = dy/3.5 = 10.5/3.5 = 3 inches
Answer:
d≈288.85
C Circumference
907.46
Step-by-step explanation:
<u>Answer:</u>
Solving for x in 12x − 39 ≤ 9 and −4x + 3 < −6 we get 2.25 < x ≤ 4
<u>Solution</u>:
Need to find the value of x which satisfies following two given expressions
12x − 39 ≤ 9 ------(1)
−4x + 3 < −6 ------ (2)
Lets first solve expression (1)
12x − 39 ≤ 9
Adding 39 on both sides , we get
12x−39 + 39 ≤ 9 +39
=>12x ≤ 48
=> x ≤ 48/12
=> x ≤ 4
Now solving expression (2)
−4x+3<−6
=> -4x < -6 – 3
=> -4x < -9
=> 4x > 9
=> x > 9/4
=> x > 2.25
So from solution of expression (1) and (2) , we get x ≤ 4 and x > 2.25
Hence required value of x is 2.25 < x ≤ 4.
