Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3
Answer:
A
Step-by-step explanation:
The opposite of 6 IS -6
Answer:
There wouldn't be a fraction form because its a whole number which is 9
Use the binomial theorem:
![\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%282x-9%29%5E5%20%3D%20%5Csum_%7Bk%3D0%7D%5E5%20%5Cbinom5k%20%282x%29%5E%7B5-k%7D%28-9%29%5Ek%20%3D%20%5Csum_%7Bk%3D0%7D%5E5%20%5Cfrac%7B5%21%7D%7Bk%21%285-k%29%21%7D%202%5E5%20%5Cleft%28-%5Cfrac92%5Cright%29%5Ek%20x%5E%7B5-k%7D)
The <em>x</em> ³ terms occurs for 5 - <em>k</em> = 3, or <em>k</em> = 2, and its coefficient would be
![\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%21%7D%7B2%21%285-2%29%21%7D%202%5E5%20%5Cleft%28-%5Cdfrac92%5Cright%29%5E2%20%3D%20%5Cboxed%7B6480%7D)
Answer:
i guess it's the second one, 16x2+9y2, since they are both raised to 2 and they are binomial