Answer:
7.3
Step-by-step explanation:
y=2.5x+5.8
=2.5×0.6+5.8
= 1.5+.8
=7.3
Answer:
B.12
Step-by-step explanation:
the squiggly line over top it means they are about equal or equal
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)
9514 1404 393
Answer:
1. area DEF = 2π cm²
2. arc JK = 2π cm
Step-by-step explanation:
1. The area is given by ...
A = 1/2r²θ . . . . . where r is the radius and θ is the central angle in radians
Your sector has an area of ...
A = (1/2)(3 cm)²(80(π/180)) = (1/2)(9 cm²)(4/9π)
A = 2π cm²
__
2. The length of an arc is ...
s = rθ . . . . . . . where r is the radius and θ is the central angle in radians
s = (5 cm)(72(π/180)) = (5 cm)(2/5π)
s = 2π cm . . . arc length
_____
<em>Additional comment</em>
There are π radians in 180°, so an angle in degrees can be converted to an angle in radians by multiplying by π/180°. (The units of degrees cancel, leaving a pure number. "Radians" have no units.)
Answer:
25+2/3
Step-by-step explanation:
578-3x=501
-3x=501-578
-3x=-77
x=-77/-3
x=25+2/3