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:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Find out the interest
I=A-P
substitute
Q 5) No. of boys = 20
Answer:
Q 6) Total time taken to answer both the quizzes = 90 minutes
Step-by-step explanation:
Q 5.
Let the number of boys = x
Therefore, number of girls = x - 5
Since,
No. of boys + No. of girls = 35
hence,
x + x- 5 = 35
2x-5 = 35
2x = 35 + 5
2x = 40
x = 40/2
x = 20
Hence 20 boys participated in the activity.
Let the time taken to answer history quiz= x min
Therefore, time taken to answer geography quiz = (x + 30) min
According to the given information:
x = 1/2(x + 30)
2x = x + 30
2x - x = 30
x = 30 min
Hence, x + 30 = 30 + 30 = 60 min
Total time taken to answer both the quizzes = 30 + 60 = 90 minutes
Answer:
A. 1/2
Step-by-step explanation:
For 6 to become 3 and 12 to become 6, the (6,12) is being multiplied by 1/2.
Answer:
unlimited
Step-by-step explanation:
When we have an equation with 2 variables, and they are of first degree, we can have unlimited number of solutions. The solutions are written as ordered pairs. For any value of x we can find y.