Answer:
t+23=36
Step-by-step explanation:
23 is the increase increment in this situation. Then, the final temperature is 36, so you put that on the other side of the equation. Finally, you would be adding t with 23 cause of the temperature increase.










x- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.





x-intercepts of the given quadratic function are 2 and -8 .
Answer:
You are currently 40 years old
Step-by-step explanation:
Let's say the current age is represented by the variable x.
x = current age
The question says that "if you take half my age and add 7, you get my age 13 years ago"
This can be represented like this:
1/2(x) + 7 = x - 13
Now we solve for x using basic algebra:
1/2(x) = x - 20
-1/2(x) = -20
x = 40
To check if this is correct, plug it back into the equation and see if both sides equal each other:
1/2(40) + 7 = (40) - 13
20 + 7 = 27
27 = 27
Hope this helps (●'◡'●)
Answer:
129.996 cubic feet
Step-by-step explanation:
Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

First, we have to find the radius, which is:
D = 2r
So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

Now, we solve. Exponents are first...
3.14(9)(4.6)
Now multiply left to right.
28.26(4.6)
129.996 cubic feet
Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band

[recall



or 20(x+5) if you wish.