Answer:
99
Step-by-step explanation:
First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.
Answer:
N = 8
Step-by-step explanation:
(12 + 3) - 7 = N
=> N = (12 + 3) - 7
=> N = 15 - 7
=> N = 8
Answer:
-2.3 repeating
Step-by-step explanation:
Given:
The table of values.
Hours (h) Dollars (d)
1 42
2 84
3 126
4 168
5 ?
To find:
The correct statements about the table.
Solution:
From the given table it is clear that,




This pattern can be defined as

Multiply h by 42 to get d. So, option A is correct.
Using this pattern, we get

The missing value in the last row is 210. So, option D is correct.
From the given table it is clear that the rate of change is $42 per hour because dollar is increasing by 42 in every hour.
A real-world situation that is represented in the table is “Richard is a video game designer and earns $42 per hour.”
Therefore, the option E is correct.
Solve for x:
x^2 + 10 x + 12 = 36
36 = 36:
x^2 + 10 x + 12 = 36
Subtract 12 from both sides:
x^2 + 10 x = 24
Add 25 to both sides:
x^2 + 10 x + 25 = 49
Write the left hand side as a square:
(x + 5)^2 = 49
Take the square root of both sides:
x + 5 = 7 or x + 5 = -7
Subtract 5 from both sides:
x = 2 or x + 5 = -7
Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.