Answer:
4096
Step-by-step explanation:
Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n
Therefore,
((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2
Now lets focus on ((3/16)^-2)^3/2
(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.
We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27
So now we have, 9^3/2 * 4096/27
We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.
Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096
Answer:
C. Ted will gain $7,532 more from the rent than from the appreciation.
Step-by-step explanation:
Yes
First change the mL to liters:
Orange Juice: 1L
Lemon juice: 550mL=0.55L
Soda Water: 2.6L
Apple cider: 2*750=1500mL=1.5L
Then add them all together:
1+0.55+2.6+1.5=5.65
Lastly, multiply that number by 5:
5.65*5=28.25
Tammy will make 28.25 Liters of punch.
Answer:
2878
Step-by-step explanation:
Let "abcd" represent the digits of the number.
a ≠ 0
"The sum of the digits is 25"
a+b+c+d = 25
"The smallest digit is in the largest place"
a < b, c, d
"The largest digit is used twice but not side by side"
The digits of the number are "abcb"
b > a, c
"The smallest digit is ¼ as large as the largest digit"
a = b/4
b = 4 or 8
If b = 4, then a = 1 and c = 25 - a - 2b = 16, which is not a single digit. ∴ b ≠ 4
b = 8
a = b/4 = 2
2+8+c+8 = 25
c = 7
The number is 2878.