Answer:
1600
Step-by-step explanation:
We can setup a ratio in terms of words per minute.
Mr. Brown can type 80 words in 2 minutes, so our ratio looks like this:
40:2
In order to find how many words he can type in 40 minutes, we must set the minutes side of our ratio to 40. In order to do that, we must multiply our minutes side by a factor that makes it equal 40, and then multiply the words side by the same factor. We can divide 40 by 2 to figure out the factor, which is 20. Since the factor is 20, we must multiply it by the words side to figure out how many words he types in 40 minutes, which is 20 · 80 = 1600 words.
Sqrt 80n^2 = sqrt 40x2xnxn = sqrt 20x2x2xnxn = sqrt 10x2x2x2xnxn = sqrt 5x2x2x2x2xnxn
Pull out numbers and letters in groups of 2
2x sqrt 5x2x2xnxn
2x2x sqrt 5xnxn
2x2xnx sqrt 5
Multiply the numbers and letters on the outside of the radical
4n x sqrt 5 is the final answer.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
Answer:
0
Step-by-step explanation:
It is been considered that Discriminant is calculated by the following formula:
D = b*b - 4 * a * c
In order to simplify the calculations we can divide all the numbers by 2 and we will have the same quadratic equation:
-x^2 -4x+4=0
and as usual quadratic equation is presented as the following:
ax^2 - bx + c = 0
so in our case a = -1; b = -4; c = 4;
Then D = -4*4 -4*(-1) * 4 = -16+16 = 0
I am not quite understanding the following phrase:
"and what does it value mean about the number about the number"
but if the question was in regards of the following number '-2x^2' so number ^2 is actually the value of power so 'x' is multiplied on it is own and this equation basically means the following:
-2x^2 = -2 * (x) * (x)
Hope you can read my horrible handwriting!!!!
