Answer:
At-most 3 birdhouses.
Step-by-step explanation:
Let B represent the number of birds and H represent the number of birdhouses that Nathaniel can build with his Lego blocks.
We have been given that Nathaniel builds birds and birdhouses using Lego blocks. The inequality
represents the number of birds and birdhouses Nathaniel could build.
To find the number of birdhouses that Nathaniel can build after making 50 birds, we will substitute B=50 in our given inequality and then solve for H.


Let us subtract 2150 from both sides of our inequality.

Let us divide both both sides of our inequality by 215.


As Nathaniel can make build less than or equal to 3.953488 and the biggest integer less than or equal to 3.953 is 3, therefore, Nathaniel can build at-most 3 birdhouses with remaining Lego blocks.
Answer:
Option B
Step-by-step explanation:
First make x = 4 and y = 3 in the equation y = -1/2x + 5
it should look like 3 = -1/2(4) + 5 now we can solve
-1/2 * 4 = -2 → 3 = -2 +5
-2 + 5 = 3 → 3 = 3
V = 0.5*b*h*l
v = 0.5*4.8*3.2*7
v = 0.5*107.52
v = 53.76cm3
Answer:
a.

b.


Step-by-step explanation:
Remember that for any curve
The tangent vector is given by

And the normal vector is given by

a.
For this case, using the chain rule

And also remember that

Therefore

Similarly, using the quotient rule and the chain rule

And also

Therefore

Notice that
1. 
2. 
b.
Simlarly

and

Therefore

Then

and also

And since

Answer:
it answer is 3 because it is trigonometry