Answer:
57 rounded
Step-by-step explanation:
24.12
2.4
4 times every number then 2 times every number then add those and get the answer and remember when you multiply the two add a zero then multriply
Answer:
Refer to the following information on full-term births in the United States over a given period of time.
Type of Birth Number of Births
Single birth 47,200,000
Twins 600,000
Triplets 3000
Quadruplets 200
Use this information to estimate the probabilities of the following events.
(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)
(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)
(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures
Answer:
sorry
Step-by-step explanation:
and please Thank me and mark brainliest please
Let
and
be the respective radii of balloons A and B. If the fixed total volume is V, then
![V = \dfrac{4\pi}3\left({r_A}^3 + {r_B}^3\right)](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%5Cpi%7D3%5Cleft%28%7Br_A%7D%5E3%20%2B%20%7Br_B%7D%5E3%5Cright%29)
and knowing
and
at the start, we have V = 6916π/3 cm³. Then when
, the radius of the other sphere is
.
Differentiating both sides with respect to time t gives a relation between the rates of change of the radii:
![0 = 4\pi \left({r_A}^2 \dfrac{dr_A}{dt} + {r_B}^2 \dfrac{dr_B}{dt}\right) \implies \dfrac{dr_B}{dt} = -\left(\dfrac{r_A}{r_B}\right)^2 \dfrac{dr_A}{dt}](https://tex.z-dn.net/?f=0%20%3D%204%5Cpi%20%5Cleft%28%7Br_A%7D%5E2%20%5Cdfrac%7Bdr_A%7D%7Bdt%7D%20%2B%20%7Br_B%7D%5E2%20%5Cdfrac%7Bdr_B%7D%7Bdt%7D%5Cright%29%20%5Cimplies%20%5Cdfrac%7Bdr_B%7D%7Bdt%7D%20%3D%20-%5Cleft%28%5Cdfrac%7Br_A%7D%7Br_B%7D%5Cright%29%5E2%20%5Cdfrac%7Bdr_A%7D%7Bdt%7D)
We're given
the whole time. At the moment
, the radius of balloon B is changing at a rate of
![\dfrac{dr_B}{dt} = -\left(\dfrac{12\,\rm cm}{1\,\rm cm}\right)^2 \left(0.1\dfrac{\rm cm}{\rm s}\right) = \boxed{-14.4 \dfrac{\rm cm}{\rm s}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdr_B%7D%7Bdt%7D%20%3D%20-%5Cleft%28%5Cdfrac%7B12%5C%2C%5Crm%20cm%7D%7B1%5C%2C%5Crm%20cm%7D%5Cright%29%5E2%20%5Cleft%280.1%5Cdfrac%7B%5Crm%20cm%7D%7B%5Crm%20s%7D%5Cright%29%20%3D%20%5Cboxed%7B-14.4%20%5Cdfrac%7B%5Crm%20cm%7D%7B%5Crm%20s%7D%7D)
Answer:
( x +2)² + ( y - 4)² = 81
Step-by-step explanation:
The equation for a circle in standard form is ( x – h)² + ( y - k)² = r², where the center is (h, k) and the radius is r.
Putting the question's given information into the formula gives you
[ x – (-2)]² + ( y - 4)² = (9)²
( x + 2)² + ( y - 4)² = 81