Answer:
Step-by-step explanation:
So, we started out with 128 ounces of milk.
Each day, Joann drinks 14 ounces of milk.
Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.
Therefore, our function is:
And we're done!
The sum will be:
sigma(i = 1 to infinity, 30*(2/5)^i)
->
Which is equal to 30/(3/5) = 50
Answer:
90
Step-by-step explanation:
formula = 1/3 x base area x height
1/3 x (9 x 2) x 15 = 90
Answer:
The range is the difference between the largest and the smallest observation in the data. The prime advantage of this measure of dispersion is that it is easy to calculate. On the other hand, it has lot of disadvantages. It is very sensitive to outliers and does not use all the observations in a data set.
Answer:
z = 8.544[cos(20.6) + isin(20.6)}
Step-by-step explanation:
Given
8 + 3i
Required
Rewrite in trigonometric form.
The trigonometric form of a complex equation is
z = r[cosθ + isinθ]
Let a = 3 and b = 8
Where
r is calculated by
r² = b² + a²
And
θ is calculated by
θ = arctan(a/b)
Substituting 3 for a and 8 for b
r² = a² + b² becomes
r² = 3² + 8²
r² = 9 + 64
r² = 73
√r² = √73
r = √73
r = 8.544
Calculating θ
θ = arctan(a/b) becomes
θ = arctan(3/8)
θ = arctan(0.375)
θ = 20.556°
θ = 20.6 --- Approximated
Hence, z = r[cosθ + isinθ] becomes
z = 8.544[cos(20.6) + isin(20.6)}
