We have to rewrite the expression so that it has no denominator.
For example:
1 / x = x^(-1)
1/8 = 8^(-1); 1/x^(4) = x^(-4); 1/y^(3) = y^(-3); 1/z = z^(-1).
When rounding here are the rules
If the next number to the right is 1-4, you will round down or keep the # the same.
If the next number to the right is 5-9, you will round up to the next number.
So with your # 281,421,906
a. hundred million. This is the first 2...the number to the right of it is 8, so we will round the 2 up. And the answer is 300,000,000
b. ten million. This is the 8...the number to the right of it is 1, so we will round it down and 8 will remain an 8. And the answer is 280,000,000
c. million. This is the first 1 (281)...the number to the right is 4, so we will round down and 1 will remain a 1. And the answer is 281,000,000
d. hundred thousand. This is the 4...the number to the right of it is 2, so we will round down and the 4 will remain a 4. And the answer is 281,400,000
e. thousand. This is the second 1 (281,421)...the number to the right is the 9, so we will round up and the 1 will become a 2. And the answer is 281,422,000
Now for #14, think about the rules.
1. If you round it to the nearest one, you get 7.
2. If you round it to the nearest tenth, you get 7.0.
3. If you round it o the nearest hundredth, you get 7.00
4. It is the least number that fits the clues.
Ok basically it is saying, it rounds up to 7. So what would be the number that would round UP to 7? That would be 6. I'm rounding UP because it says it is the LEAST number that fits the clues.
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
Answer:
See below.
Step-by-step explanation:
The figure is a cone. The formula for the volume of a cone is:
The radius is 4.8 and the height is 2.9. Substitute:
Use a calculator:
And we're done!
Answer:
t = D/r
Step-by-step explanation:
you rearrange the equation so that is the subject. when you bring something over the equal sign, it reverses the function so D = r×t becomes t = D/r
