Answer:
5x+3y, when x=4 and y= -3
5(4)+3(-3)=
20+ (-9)=
11
Step-by-step explanation:
Hope this helps. :)
Ben is 19 years old now
<em><u>Solution:</u></em>
Let the age of Ishaan be "x"
Given that ben is 12 years older than Ishaan
Therefore, age of ben = x + 12
Therefore, before three years,
Age of Ishaan before three years = x - 3
Age of Ben before three years = x + 12 - 3 = x + 9
From question,Three years ago, ben was 4 times as old as ishaan
Age of Ben before three years = 4(Age of Ishaan before three years)
x + 9 = 4(x - 3)
x + 9 = 4x - 12
4x - x = 9 + 12
3x = 21
x = 7
Therefore age of ben now = x + 12 = 7 + 12 = 19
Thus Ben is 19 years old now
Answer:
INF for first while D for second
Step-by-step explanation:
Ok I think I read that integral with lower limit 1 and upper limit infinity
where the integrand is ln(x)*x^2
integrate(ln(x)*x^2)
=x^3/3 *ln(x)- integrate(x^3/3 *1/x)
Let's simplify
=x^3/3 *ln(x)-integrate(x^2/3)
=x^3/3*ln(x)-1/3*x^3/3
=x^3/3* ln(x)-x^3/9+C
Now apply the limits of integration where z goes to infinity
[z^3/3*ln(z)-z^3/9]-[1^3/3*ln(1)-1^3/9]
[z^3/3*ln(z)-z^3/9]- (1/9)
focuse on the part involving z... for now
z^3/9[ 3ln(z)-1]
Both parts are getting positive large for positive large values of z
So the integral diverges to infinity (INF)
By the integral test... the sum also diverges (D)
Answer:
21.74 ft
Step-by-step explanation:
We use Cosine because we are dealing with the Adj and Hyp
Cos 85 = x/20
x = 20 Cos 85
x = 1.74 feet away from the base of the wall.
Since the ladder is 20 foot long, the total distance will be 1.74 + 20 = 21.74 ft
Answer:
73.4846922835 = 73.5 and no it is not a perfect square 5400/100 = 54