Answer: 8 minutes, 16 minutes, 24 minutes, 32 minutes
Step-by-step explanation: 12x2=24. 8x2=16. 12x3=36. 8x3=24. 12x4=48. 8x4=32.
Answer: 
Step-by-step explanation:

That is :
................. equation 1
Also

that is
................. equation 2
divide equation 2 by equation 1 , that is

x 

find the fifth root of both sides

substitute
, into equation 1 to find a , that is


multiply through by 3


To find the 11th term , the formula for the 11th term is given as :



First find the the value of t where the curve intersects the Y-axis. This is when x = 0.
x = t^2 - 2t = 0 = t(t - 2)
So t= 0 and t = 2
dA = (0 - x)*dy .... Since the curve has negative x in this region
y = SQRT(t) and dy = [(1/2)/SQRT(t)]dt
dA = [2t - t^2][(1/2)/SQRT(t)]dt
dA = [t^(1/2) - (1/2)t^(3/2)]dt
Integrate to get: A = (2/3)t^(3/2) - (1/5)t^(5/2)
Now evaluate from t= 0 to t = 2.
Area = [(2/3)2^(3/2) - (1/5)2^(5/2)] - [0]
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Area = SQRT(2)[4/3 - 4/5]
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Area = SQRT(2)[8/15) = 0.754
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Answer:
- Martin is 40 and Ada is 14
Step-by-step explanation:
- Martin's age = m
- Ada's age = a
<u>Martin is two years younger than three times his daughter Ada’s age:</u>
<u>The sum of their ages is 54:</u>
<u>Solving this equation for m:</u>
<u>Eliminate m:</u>
<u>Solve for a:</u>
- 3a + a = 54 + 2
- 4a = 56
- a = 56/4
- a = 14
<u>Find m:</u>
Martin is 40 and Ada is 14
Answer: a= 16
Step-by-step explanation:
We have the following expression:

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

until you transform it to the form:

Then we have

Therefore the value of a in the polynomial is 16