3.4+4.6+2.2= X, if each hiker must carry a sleeping bag, bag and water bottle you would add the weight of each item and the hiker would end up carrying 10.2 pounds.
Answer:
<h2>
-9/22t</h2>
Step-by-step explanation:
Just do -4/22-5/22 = 9/22 and just add a t, which is 9/22t.
Answer:
3.3 ×
Step-by-step explanation:
1. Move the decimal in 33,000 to the left until the number now has a value between one and ten
<em>Original number: </em>33,000.
<em>New number: </em>3.3000 (3.3)
As you can see the decimal has been moved to the left four times.
2. Now we need to plug it into the "scientific notation formula" which looks like this: × . 'x' will be the number we just got (3.3) and 'y' will be the number of times we moved the decimal (4).
3.3 ×
I hope I explained this good for you. Let me know if you need more help!
I'm pretty sure the answer would be 90
Let's try to tease out a function for the area of our hypothetical rectangle:
We know that the area of a rectangle is Base x Height, and the base will be the length of the x-axis portion of the rectangle. Looking at a graph of y=27 - x^2 will help with intuition on this.
The length of the base will be 2x, since it will be the distance from the (0,0) axis in the positive direction and in the negative direction.
So our rectangle will have an area of 2x, multiplied by the height.
What is the height? The height will be our y value.
Therefore,
A = 2x * y, where x is x-value of the positive vertex.
We already know what y is as a function of x:
y= 27 - x^2
That means our equation for the area of the rectangle is:
A = 2x (27 - x^2) Distribute the terms....
A = 54x - 2x^3
This is essentially a calculus optimization problem. We want to find the Maximum for A, so let's find where the derivative of A is equal to zero.
First, we find the derivative:
A = 54x - 2x^3
A' = 54 - 6x^2
Set A' equal to zero to find the maximum value for A
0 = 54 - 6x^2
6x^2 = 54
x^2 = 9
x = 3
We got our x-value! Now let's find the y value at that point:
y= 27 - x^2
y = 27 - 9
y = 18
The height our rectangle will be 18, and our base will be 2*x = 2*3 = 6
Area = base x height = 18 * 6 = 108
The answer is B) 108.