Answer:
a) 5^4 / 5^2, 5^2
b) 7^3 / 7^3, 7^0=1
c) 8^7/8^4, 8^3
Step-by-step explanation:
A quotient of two powers is basically the powers before its simplified. So for a 5 x 5 x 5 x 5 is 5 being multiplied by itself 4 times divided by 5 x 5 which is 5 being multiplied by itself 2 times. So this leads us to the conclusion that 5^4/5^2 for the quotient of two powers. Then using the rules of powers when dividing powers you subtract so in this case 4-2 is 2. So the answer is 5^2 for single power. The other problems are basically the same as well, just different numbers.
b) (7 x 7 x 7)/ (7 x 7 x 7)= 7^3/7^3=7^0=1
c)(8 x 8 x 8 x 8 x 8 x 8 x 8)/(8 x 8 x 8 x 8)= 8^7/8^4= 8^3
Answer:
A=10,000(1+.02/12)^4*t
Step-by-step explanation:
First off u need to know how many years to get the answer but for the rest:
P- is principle and is the amount you are starting with, in this case 10,000.
You can either use 1+ or 1- this depends on wheather the amount is increasing or decreasing
Increasing: 1+ ; Decreasing: 1
(The problem already has it for you)
R- is the rate, here you take the percentage and move the decimal twice to the left. In this problem 2% moved to the left is .02.
N- Depends on what the problems says
Quarterly- 4 (cuz it means 4)
Daily- 365 (Number of days in a year)
Weekly- 52 (Number of weeks in a year)
Monthly- 12 (Number of months in a year)
Yearly- 1 ( One year)
Finally you square the number of years by the N.
Answer:
The information is
The daily temperature of the shop increases while the pH of the cheese decreases
Step-by-step explanation:
From the question we are told that
The correlation between the daily high temperature and the pH of the cheese to be −0.64
Generally the information this negative correlation provides a about the relationship between the daily high temperature and the pH of the cheese is that as the daily temperature of the shop increases that pH of the cheese decreases
3x + 50 = 6x -10
add 10 to each side
3x +60 = 6x
subtract 3x from each side
60 = 3x
x = 60/3 = 20
x = 20
Answer:
C and E are not on the line.
Step-by-step explanation:
Just substitute for the x and the y and see which ordered pair fits and which does not:
If Left side of the equation = right side then the point fits.
A. y = -3
-2x+5 = -2(4) + 5 = -3 So A is on the line
B. y = 9
-2(-2) + 5 = 9 So this point does lie on the line.
C. y = 1
-2(3) + 5 = -1 No.
D. y = 7
-1(-1) + 5 = 7 YES.
E. y = 1
-2(1) + 5 = 3 NO.
