Answer: He worked for 3 1/2 hours on Thursday
Step-by-step explanation:
I subtracted 66 from 123.75 and then i was left with 57.75 and then i just added 16.50 until i was close and then added the 8.25
Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>
Step-by-step explanation:
Using the formula of derivative, it can be easily shown that, 
where 
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = 
.
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get, 
.
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy = 
.
Thus, 
.
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
Answer:
2160 BTU
Step-by-step explanation:
Ben looks at his plan and realizes that his building can be viewed as a triangular prism sitting on a cube.
Calculating the volume of a cube is easy… Length x Width x Height (LWH)… so 12 x 10 x 8 = 120 x 8 = 960 cubic feet for the cube part.
For the prism, it’s almost the same… but divided by 2 : (LWH)/2, so… (12 x 10 x 2) / 2 = (120 x 2) / 2 = 240 / 2 = 120 cubic feet for the prism part.
Total for the building : 960 + 120 = 1080 cubic feet
Since 2 BTU per cubic foot, the power of the unit needs to be at least 1080 x 2 = 2160 BTU.
Although the majority of bears that you see are brown there is also black bears and white polar bears in different parts of the world
