Answer: x = 5 because 100 x 5= 500 and 500÷ 5= 100
Step-by-step explanation:
2 2/3 x 5/2
8/3 x 5/2
40/6 = 20/3 = 6 2/3
The answer is 6240 + 5t < 8000.
The 6240 represents the combined weight of the horses, regardless of how much they carry, so this will remain constant and without a variable. There are 5 horses, and it unknown how much weight they will carry, so this is represented as 5t. This total must be less that 8000 pounds, as this is the most the trailer can transport.
Hope this works!
Answer:
-17
Step-by-step explanation:
-22-(-5) = -22+5 = -17
Answer:

Step-by-step explanation:
As per the question,
let us consider f(x) = tan(x).
We know that <u>The Maclaurin series is given by:</u>

So, differentiate the given function 3 times in order to find f'(x), f''(x) and f'''(x).
Therefore,
f'(x) = sec²x
f''(x) = 2 × sec(x) × sec(x)tan(x)
= 2 × sec²(x) × tan(x)
f'''(x) = 2 × 2 sec²(x) tan(x) tan(x) + 2 sec²(x) × sec²(x)
= 4sec²(x) tan²(x) + 2sec⁴(x)
= 6 sec⁴x - 4 sec² x
We then substitute x with 0, and find the values
f(0) = tan 0 = 0
f'(0) = sec²0 = 1
f''(0) = 2 × sec²(0) × tan(0) = 0
f'''(0) = 6 sec⁴0- 4 sec² 0 = 2
By putting all the values in the Maclaurin series, we get



Therefore, the expansion of tan x at x = 0 is
.