Answer:

Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.

Now simplify the exponent of 4 using rule 6.

Answer:
5 hours
Step-by-step explanation:
The total cost is the fee plus the hours* hourly cost
450 = 200+50*h where h is the hours
Subtract 200 from each side
450-200 = 200-200 +50h
250 = 50h
Divide each side by 50
250/50 = 50h/50
5 = h
5 hours
Answer:
13
Step-by-step explanation:
12 * 12 = 144
5 * 5 = 25
144 + 25 = 169
√169 = 13
Given a relative frequency table is made from data in a frequency table.
Frequency Table
G H Total
E 12 11 23
F 14 8 22
Total 26 19 45
Recall that the relative frequency table is obtained from the Frequency table by dividing each entry of the frequency table by the ovarall total of the frequency table.
Thus the relative frequency table of the frequency table above is given by:
Relative Frequency Table
G H Total
E 12/45 = 0.27 = 27% 11/45 = 0.24 = 24% 23/45 = 0.51 = 51%
F 14/45 = 0.31 = 31% 8/45 = 0.18 = 18% 22/45 = 0.49 = 49%
Total 26/45 = 0.58 = 58% 19/45 = 0.42 = 42% 45/45 = 1.00 = 100%
For the given relative frequency table with the missing value y being the value of the relative frequency of E and G.
Therefore, the value of y is 27%