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diamong [38]
3 years ago
8

Consider a sphere with a volume of 36,000 π cubic centimeters.

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

30 cm

Step-by-step explanation:

Vol. of a sphere   (4/3) \pi  r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\

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I am writing answers directly.

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6 0
3 years ago
How do i do 3 part a ?
WINSTONCH [101]


In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


We need to calculate the binomial coefficients:


{11 \choose 0}  = 1


{11 \choose 1}  = 11


{11 \choose 2}  = \dfrac{11 \times 10}{2} = 55


{11 \choose 3}  = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165


(-3x+1)^{11} =  1 (-3x)^0 1^{11}  + 11(-3x)^{1} 1^{10}  + 55 (-3x)^2 1^{9}  + 165 (-3x)^3 1^8 + ...


(1-3x)^{11} =  1 -33 x + 495 3x^2 - 4455 x^3+ ...



6 0
3 years ago
Put in slope intercept form
LiRa [457]
These require you solve for y. Do that by subtracting the x-term, then dividing by the y-coefficient.

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  y = (-1/3)x -1/2

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3 0
4 years ago
At the beginning of the semester students reported that they spend an average of 5 hours per day watching television, decreasing
Katyanochek1 [597]

Answer:

(a) X(t)=X(0)+\Delta X*t=5-0.5*t

(b) X(t)=X(0)+\Delta X*t=1+0.5*t

(c) At 4 weeks, when both will be seeing an average of 3 hours of TV.

Step-by-step explanation:

a) For the students, they start at X(0)=5 h and ΔX=-0.5 h/week.

We can write

X(t)=X(0)+\Delta X*t=5-0.5*t

b) For the professors, they start at X(0)=1 h and ΔX=+0.5 h/week.

We can write

X(t)=X(0)+\Delta X*t=1+0.5*t

c) The seew which they will be watching the same amount of hours will be the 4th week.

X(t)=5-0.5*t=1+0.5*t\\\\5-1=(0.5+0.5)*t\\\\t=4\, weeks

The amount of hours will be

x(4)=1+0.5*4=1+2=3\,hours

7 0
3 years ago
Equation of a line given two points (2,4) and (-2,-6)
Marina CMI [18]
The slope is:
\frac{5}{2}
the GRAPH is shown below⬆⬆⬆⬆⬆⬆⬆⬆
midpoint is (0,-1) {see graph on the right}

8 0
3 years ago
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