Answer:
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:

2) We multiply the numerator by 10 and find the tenth digit:

Then,

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

Then,
And the remainder is:


4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

Then,

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
Answer: 5
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5
Answer:
A) The maximum error in the calculated surface area: 
Relative error: 
B) The maximum error in the calculated volume: 
Relative error: 
Step-by-step explanation:
A) The formula for the surface area is:

The measured value is the circumference which is equal to:

then the radius is:

Substituting in the formula of the surface:

Using the formula to calculate the error:

Where
is the variable measured and
is a function of
(
).

We have C=80cm and dC=0.5cm

The relative error is the maximum error divide by the total area. The total area is: 

B) The formula for the volume is:

Using 

The maximum error is:

The calculated volume is:

The relative error is:

Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.