Answer:
63
Step-by-step explanation:
12x6=72
72-9=63
the answer is 63
Answer:
3 oatmeal muffins
Step-by-step explanation:
First, subtract the 5 muffins she dropped from the total:
73 - 5
= 68
Then, divide this by 13:
68/13
= 5.23
We need a whole number of muffins in each container, so round this down to 5.
This means that there can be 5 muffins in each of the 13 containers.
Find how many will be leftover:
5(13)
= 65
68 - 65
= 3
So, there will be 3 oatmeal muffins left
OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0
Because the roots of the equation are 0 and 12, we know the formula is therefore of the form
y = ax(x - 12), for some a
So put in x = 6
-9 = 6a(-6)
9 = 36a
a = 1/4
So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x
The gradient of this is dy/dx = 0.5x - 3
The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8
Gradient of the parabolic mirror at x = 4 is -1
So the gradient of the normal to the mirror at x = 4 is therefore 1.
Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.
So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
I believe it is A and D. All you have to do is add them all together and if both sides are the same then its a correct answer.
Answer:
it is
Step-by-step explanation:
13.8656
