Remember
(x^m)/(x^n)=x^(m-n)
7^16/6^12=7^(16-12)=6=7^4
so
7^4=7^-18/?
?=7^?
7^4=7^-18/7^?
7^-18/7^?=7^(-18-?)=7^4
-18-?=4
add 18
-?=22
tmes -1
?=-22
7^-22
answer is C
Answer:
The answer is 20pi
Step-by-step explanation:
perimeter of a semicircle = pi* radius
perimeter of first semicircle = 5.pi
perimeter of second semicircle = 5.pi
perimeter of third semicircle = 10. pi
total perimeter = 5pi +5pi + 10pi
= 20pi
Answer:
II and III are right
Step-by-step explanation:
The reason I is wrong is the zeros are (-2, 0) and (4, 0)
Answer: Choice A
x+3y = 14
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Explanation:
The general template for standard form is Ax+By = C, where A,B,C are integers.
This immediately rules out choices C and D, since they don't fit the format mentioned.
To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.
For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...
x+3y = 14
2+3(4) = 14
2+12 = 14
14 = 14 this is true
So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.
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If we tried (2,4) with choice B, then,
5x+3y = 14
5(2)+3(4) = 14
10+12 = 14
22 = 14 which is false
This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.
The function the represent the balance in the account as a function of time t is p(t) = 1000 + 40t
<h3><u>Solution:</u></h3>
Given that,
Carmen deposits $1000 into simple interest account
The rate for the account is 4%
To find: function the represent the balance in the account as a function of time t
Given is simple interest account
The formula for simple interest is given as:
Where, "p" is the principal and "r" is the rate of interest and "t" is the number of years
In simple interest,
total amount after "t" years = principal + simple interest
Here in this question, Carmen deposits $1000
Thus we can frame a function as:
total amount after "t" years = principal + simple interest
Where, p(t) is the amount after "t" years and 
is the principal sum
Thus the function is obtained
