Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:
(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5
Now we just evaluate t for 10:
f(10) = (5*10)+5
f(10) = 55
Answer:
or ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)
Step-by-step explanation:
Note that
.
Also, note that
.
So, the inequality is really equal to
.
We can then add
to both sides to get
.
So, the solution is
, or in interval notation, ![(-\infty, 47/6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%2047%2F6%5D)
Answer:
13/90
Step-by-step explanation:
The decimal that you wrote is mixed non terminal decimal. Which means all the number don't repeat themselves.
The denominator of a non terminating decimal is always 9 even though it depends on the type of the decimal, whether it is simple or mixed
The denominator of the given decimal is 90. The denominator is 2 digit number since the given decimal is also 2 digit decimal even though it is under repeating bars.
And the numerator is 10, 13-3.
We subtract 3 since it is the one repeating itself.
Hope it helps ;) ❤❤❤
The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.
First, substitute the known values into the equation:
l = 8.5
w = 6
h = 10.5
V = (8.5)(6)(10.5)
<em>(Note: .5 = 1/2)</em>
Now, all we need to do is simplify:
V = 535.5 ft³ OR 535 1/2 ft³
<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>
You can pick whichever form your test directs you to use. They are both the same value though.
Hope this helps!