110+65x so if she already has 110 that means you’ll add 65 every week it’s not clear on how many weeks so that’s why the x is there for x amount of weeks
The surface of a sphere is given by the formula:
area=4πr²
Data:
r=30 m
area=4ππ(30 m)²=3600π m².
Answer: the area of this sphere is 3600π m².
Answer: 0.29 (29%)
Step-by-step explanation:
women who gave birth at a certain hospital last year:
over 30 years old - 0.48
unmarried - 0.46
over 30 or unmarried (or both) - 0.65
what is the probability that a woman who gave birth at the hospital was both unmarried and over 30 ?
We know that
P(A and B) = P(A) + P(B) - P(A or B)
P(+30 and unmarried) = P(+30) + P(unmarried) - P(+30 or unmarried)
P(+30 and unmarried) = 0.48 + 0.46 - 0.65 = 0.29
<h3>Given</h3>
- length, width, and height of a cuboid are x, x, and 2x, respectively
- the cuboid's surface area is 129.6 cm²
- dx/dt = 0.01 cm/s
<h3>Find</h3>
- dV/dt for the given conditions
<h3>Solution</h3>
The equation for surface area can be written
... A = 2(LW +H(L +W))
Substituting the given values gives an equation that we can solve for x
... 129.6 = 2(x·x +2x(x +x)) = 10x²
... x = √(129.6/10) = 3.6 . . . . . . . cm
The equation for volume can be written
... V = LWH
Substituting the given values gives an expression for volume in terms of x.
... V = x·x·2x = 2x³
Then the rate of change of volume is
... dV/dt = 6x²·dx/dt
... dV/dt = 6·(3.6 cm)²·(0.01 cm/s)
... dV/dt = 0.7776 cm³/s