Step-by-step explanation:
Here is a helpful method I taught my students in my mini lesson...
For you to remember, 22= 4, and 32= 9. Hence the answer to the root of 8 lies between the numbers 2 and 3. However, since the square of 3 equals to 9 which is larger than 8, the root 8 value lies in between the number 2.8 and 2.9.
Answer:
If you roll two dices, you can get as results all numbers from 2 to 12. Among these, the prime numbers are 2, 3, 5, 7, 11. The probability you get each of them is: 2: you can get it only as 1+1, so one combination over 36 possibility. Probability: 1/36. 3: you can get it as 1+2 or 2+1, so two combinations over 36 possibility. Probability: 2/36. 5: you can get it as 1+4, 2+3, 3+2, 4+1, so four combinations over 36 possibility. Probability: 4/36. 7: you can get as 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, so six combinations over 36 possibility. Probability: 6/36. 11: you can get it as 5+6 or 6+5 so two combinations over 36 possibility. Probability: 2/36. The total probability of getting a prime number is the sum of the probabilities, which is 15/36. So m=15, n=36 and 10m+n=150+36=186.
we are given a function
![f(x)=-6x](https://tex.z-dn.net/?f=f%28x%29%3D-6x)
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
![g(x)=a\times f(x)](https://tex.z-dn.net/?f=g%28x%29%3Da%5Ctimes%20f%28x%29)
Here, it is vertically stretch by 7
so, we get
![g(x)=7\times -6x](https://tex.z-dn.net/?f=g%28x%29%3D7%5Ctimes%20-6x)
![g(x)=-42x](https://tex.z-dn.net/?f=g%28x%29%3D-42x)
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
![g(x)=-f(x)](https://tex.z-dn.net/?f=g%28x%29%3D-f%28x%29)
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
![g(x)=-1\times -42x](https://tex.z-dn.net/?f=g%28x%29%3D-1%5Ctimes%20-42x)
.............Answer
Answer:
$22.19
Step-by-step explanation:
20% off the original price = $110.95 - (20% x $110.95)
20% x $110.95 = $22.19
$110.95 - $22.19 = $88.76
difference = $110.95 - $88.76 = $22.19
By measuring the width of the circle or sphere radius is half of the diameter