Answer:
6 hours.
Step-by-step explanation:
Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.
Part of work completed by apprentice in one hour would be 
.
We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be 
.
While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be 
.
Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:
Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.
Since x³ = x^(1/3) you can say that
(x¹⁰)^(1/3) = x^10/3 = x^(3 + 1/3) =
x³ ·∛x
Answer:
The answer to your question is: 161x + 17y - 391 = 0
Step-by-step explanation:
Data
y-intercept = 23 Get the points (0, 23)
x- intercept = 4.75 (4.75, 0)
4.75 = 17/4 (17/4, 0)
slope
m = (y2 - y1) / (x2 - x1)
m = (0 - 23) / (17/4 - 0)
m = -23 / 17/4
m = - 161 / 17
equation
(y - y1) = m (x - x1)
( y - 23) = -161 / 17 (x - 0)
y - 23 = -161/17 x
17(y - 23) = -161x
17y - 391 = -161x
161x + 17y - 391 = 0
Answer:
730
Step-by-step explanation:
A(X)= 2πRH+2πR^2
A(X)=2π(7.5)(8)+2π(7.5)^2=730.42 = 730
Answer: f(n+1) = 3 f(n)
Step-by-step explanation:
- A recursive formula is used to determine each term of a sequence using preceding term or terms.
Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...
Here,
Common ratio = 3
Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .
Required recursive formula : f(n+1) = 3 f(n)
