Answer:
go on MATH.WAY. it'll give you the answer and explanation
Step-by-step explanation:
It is the 1st equation at the top.
Reason: First check the equations to check that the initial amount is 497 kg. You can do this by setting x = 0 into all of the equations. The 3rd and 4th equations evaluate to 2 when x = 0 and so you can eliminate the bottom 2 equations immediately. Equation # 2 does not work since the half-life value of 1.040 kg is way to small (significantly smaller than half of 497 kg).
You can check that equation # 1 is the right one, by setting x = 0 and getting
y = 497*(1/2)^[(1/38) * 0] = 497
so the initial amount is 497
Also check that there is 1/2 the amount at time 38 (since the half-life is 38 days)
y = 497 * (1/2)^[(1/38) * 38] = 248.5
248.5 kg is half of 497 and so this checks out for equation # 1.
Since we know equation # 1 is good, now we evaluate at x = 4 to get
y = 497 * (1/2)^[(1/38) * 4] = 462.029
so our answer to the thousandth places is 462.029 kg.
Answer:
40 unit²
Step-by-step explanation:
If you are referring to the figure attached read on:
We know that the distance between two points can be computed using the formula:
We also know that the formula for the area of a rectangle is:
A = L x W
While the area of a parallelogram is:
A = b x h
In the figure the dimensions of the parallelogram is easy to get as the base is vertical and the height is horizontal parallel to the x and y axes.
The base is 6 units, and the height is 1 unit. So we multiply that:
A = 6 x 1 = 6 units²
As for the rectangle we need to use the distance formula because they are not parallel to the x and y axes.
First let's get the width, then the length.
So now we have the the dimensions of the rectangle, we can solve for the area.
A = 8.25 unit x 4.12 unit
= 33.99unit²
To get the total area then, we add up their areas:
33.99 unit² + 6 unit² = 39.99 unit² ≅ 40 units²
The dimensions are multiplied by 2 so the volume is multiplied by 2^3 ( - 8)
The jumbo bos will contain 250 * 8 = 2,000 paperclips.
Answer:
Step-by-step explanation:
First, you will add 2x for both sides.
y - 2x = 3
+2x +2x
Then, you will get y = 2x + 3
So the slope will be 2