Answer:
h(x) = 2^(x) - 1.
Step-by-step explanation:
Let's look at each equation:
f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.
g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing
h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing
For this case, the first thing we must do is find the scale factor.
For this, we use one of the dimensions. We will use the width of the photo.
We have then:

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.
We have then:

Answer:
the new height will be:
d.168 inches
Not really sure but hope this helps
Given the dataset

We start by computing the average:

We compute the difference bewteen each element and the average:

We square those differences:

And take the average of those squared differences: we sum them

And we divide by the number of elements:

Finally, we take the square root of this quantity and we have the standard deviation:

Answer:
51
Step-by-step explanation:
Well we first need to find the volume of the soup in the pot using the following formula,
πr^2h
15*15 = 225
225 * 25 = 5625
5625 * pi = <u>17671.46</u>
Now we need to find the volume of the ice cube using the formula,
l*w*h
7*7*7 = <u>343</u>
Now we do 17671.46 ÷ 343 = 51.5202915452
You can have half an ice cube,
thus, Sharon can make 51 whole cubes.
<em>Hope this helps :)</em>