Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>
Answer:

Step-by-step explanation:
We are given that

Differentiate w.r.t x

By using formula







Hence, the derivative of function

<span>The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads.
</span>so....
<span>About 24 necklaces have more than 28 beads. </span>
<span>About 48 necklaces have more than 28 beads. </span>
<span>About 80 necklaces have more than 28 beads. </span>
About 96 necklaces have more than 28 beads<span>
</span> <span>About 80 necklaces have more than 28 beads.
</span><span>
Z score is 28-24/4=1
(1-.8413)=0.1587
500*0.1587=79.35~80
i did this like 2 or 3 years ago .</span>
We know that the formula for the volume of a box is:

Where:
l = length
w = width
h = height
The formula of the surface area of a box is:

Based on the given we know the following:

and

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

Let:
l = 6cm
w = 7cm
h = 13cm
Now let's try this on the surface area formula:





The answer is then:
l = 6cmw = 7cmh = 13cmAny order would be fine.
We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:

Next, to get rid of the negative, we can multiply either side by -1 to get

Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:

and the other by multiplying either side by 1000:

Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:

And finally, we can divide either side of the equation by -990 to find that
