Answer:
x ≈ 3.29
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x =
Decimal Form:
x = 3.29202967
… ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)
The answer would be 0.1215
I'd suggest using a calculator!<span />
Answer:

Step-by-step explanation:
Hi there!
We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula
The distance formula is given as
, where
and
are points
We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion

Now substitute those values into the formula:


Simplify the values under the radical:

Raise to the second power:

Add the numbers under the radical together

The answer can be left as that, as the radical cannot be simplified.
Hope this helps!
Answer:

Step-by-step explanation:
To solve this problem, we can use the area of a circle formula as shown below:

<em>A = area</em>
<em>r = radius</em>
<em />
First we need to find the radius.
The radius is half of the diameter. For this problem, the radius is going to be 3.
Now, plug the values into the equation:


The window's area is 
Answer:
The inequalities that must be satisfied is


Step-by-step explanation:
Let the number of Heineken bottles be x
Let the number of monster drink bottles be y
Her crate cannot hold more than 32, This situation can be represented as

That is
------------------------(1)
Cost of one Heineken bottles = $800
Cost of one monster drink bottles = $250
then
x
------------------(2)