Ignore the decimal places and do 789x38 and you get 29982. Now all you have to do is put the decimal places back. Since 789 was 7.89 it had 2 decimal places and 38 had 1 you have to move 29982 three decimal places to the left making your final answer 29.982.
It would be 2/10 or 1/5 simplified
206. Why can't they shorten the characters needed to 5?!
1/2m -3/4n = 16
solve your system of equations.
n=8: (1/2)(m)+((−3)/4)(n)=16
Solve n=8 for n:
Substitute (8) for n in 1/2m+−3/4n=16:
1/2m+−3/4n=16
1/2m+−3/4(8)=16
1/2m−6=16(Simplify both sides of the equation)
1/2m−6+6=16+6(Add 6 to both sides)
1/2m=22
1/2m1/2 = 22 / 1/2(Divide both sides by 1/2)
m=44
Answer:
f'(x) = 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]
Step-by-step explanation:
f' of tan(x) = sec²(x)
f' of csc(x) = -csc(x)cot(x)
General Power Rule: uⁿ = xuⁿ⁻¹ · u'
Step 1: Write equation
2tan³(x) + 5csc⁴(x)
Step 2: Rewrite
2(tan(x))³ + 5(csc(x))⁴
Step 3: Find derivative
d/dx 2(tan(x))³ + 5(csc(x))⁴
- General Power Rule: 2 · 3(tan(x))² · sec²(x) + 5 · 4(csc(x))³ · -csc(x)cot(x)
- Multiply: 6(tan(x))²sec²(x) - 20(csc(x))³csc(x)cot(x)
- Simplify: 6tan²(x)sec²(x) - 20csc⁴(x)cot(x)
- Factor: 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]
