Answer:
Step-by-step explanation:
Question 1 = 2002
2002 - 2000 = 2 (the years since 2000)
y = (275 x 2) + 50
y = 875
Question 2 = 1425 likes
2005 - 2000 = 5 (the years since 2000)
y = (275 x 5) + 50
y = 1425
Question 3 = 2018
Since y = 5000
5000 - 50(the extra likes) = 4950
4950 / 275 = 18 (the years since 2000)
2000 + 18 = 2018 (the year)
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:

for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:

This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Answer:
m<9
Step-by-step explanation:
m/3 - 4 < -1
+4 +4
______________
m/3<3
× 3 ×3
__________
m<9
Hope this Helps!
Answer:
actually no triangle exists with the given angle measure. more than ONE unique triangle exists with the given angle measures. exactly one unique triangle exists with the given angle measures