Answer:
Step-by-step explanation:
-x -6 ≤ 2 -(3x -4)
-x -6 ≤ 2 -3x + 4
-x ≤ -3x +12
2x ≤ 12
x ≤ 6
You would graph this on a number line with a solid dot on 6. Shade to the left.
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:
1+2+3+4+5+6+7+8+9+10
We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.
Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.
(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.
Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).
So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.
Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved
Hope this helps.
Answer: A cone with height 3 and radius 1
Step-by-step explanation:
Hi, searching I found the image for the question, attached down below.
By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.
Solid 3d objects are produced by rotating a 2d figure around a straight line that lies in the same place.
in our case, if we rotate the triangle around the line, the vertices in touch with the line m remains stationary, while the remaining vertex follows the path of a circle, creating a cone.
The answer to your question is 9,9
All you have to do is multiply 0.3 by 8.
8×0.3=2.4
The dog will eat 2.4 kilograms of food in 8 days. Hope that helps!