Answer:
7 to the 7th power
Step-by-step explanation:
To get your answer you add your two exponents together and that becomes your new exponent. Your base number stays the same..
Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
The answer is C! Have a great day!
Answer:
y = 182
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 112 when x = 8
k = 
= 
= 14
y = 14x ← equation of variation
When x = 13, then
y = 14 × 13 = 182
Answer:
Supplementary: 126 degrees ( 180-54)
Complementary: 47degrees (90-43)
Hope it helps!!!
